The base angles of an
isosceles triangle
Measure (2x+40)° and
(5x+16)". find x and the
Measure of both angles.

Answers

Answer 1

Answer:

71

93.5

x=15.5

Step-by-step explanation:

(2x+40)+(5x+16)+(x)=180

you have to put all the measures together and equal it to 180. when it comes to triangles, all the angles added together are equal to 180.

now solve the equation and you should get this:

x=15.5

the next step is to solve the give equations separately:

2(15.5)+40=71

5(15.5)+16=93.5

(15.5)=15.5

now to check the work, you have to add all the measures that were just calculated:

71+93.5+15.5=180 so check!


Related Questions

convert from vertex form to standard form... y= -(x-3)^2-8

Answers

Answer:

-x² + 6x - 17

Step-by-step explanation:

First, expand (x-3)² using FOIL

(x - 3)(x - 3)

= x² - 6x + 9

Distribute the negative sign to the expression:

-(x² - 6x + 9)

-x² + 6x - 9

Now, subtract 8 from this

-x² + 6x - 9

= -x² + 6x - 17

So, the equation in standard form is -x² + 6x - 17

The answer is.. x^2+6x-17

A student took two national aptitude tests. The national mean and standard deviation were 475 and 100, respectively for the first test, and 40 and:8, respectively for me second test the studer scored 575 on the test and 60 on the second test. Uz scores to determine which earn the student performed better relative to the other testers:

a. first exam
b. second exam

Answers

Comparing the two z-scores, we can conclude that the student performed better relative to the other testers on the first exam because the z-score of 1 is closer to the mean (0) than the z-score of 2.5 on the second exam.

Given that the national mean and standard deviation were 475 and 100, respectively for the first test, and 40 and:8, respectively for the second test and the student scored 575 on the first test and 60 on the second test, we are to use z-scores to determine which exam the student performed better relative to the other testers.

A z-score is a numerical measure of a value's relationship to the mean of a group of values, measured in terms of the number of standard deviations from the mean. It can be calculated using the formula; z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

For the first exam;z-score = (x - μ) / σ = (575 - 475) / 100 = 1For the second exam;z-score = (x - μ) / σ = (60 - 40) / 8 = 2.5

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Given that a student took two national aptitude tests. The national mean and standard deviation were 475 and 100, respectively for the first test, and 40 and:8, respectively for me second test the student scored 575 on the test and 60 on the second test. The student performed better relative to other test-takers on the second test as the z-score of the second test is higher than the z-score of the first test.

In order to determine which test the student performed better on relative to other test-takers, we need to calculate the z-score for each test.

For the first test, the national mean is 475 and the standard deviation is 100.

The student's score is 575.

The z-score is calculated as:

z = (x - μ) / σ

z = (575 - 475) / 100

z = 1

For the second test, the national mean is 40 and the standard deviation is 8.

The student's score is 60.

The z-score is calculated as:

z = (x - μ) / σ

z = (60 - 40) / 8

z = 2.5

Since the z-score is a measure of how many standard deviations an observation is above or below the mean, a higher z-score indicates that the student performed relatively better compared to other test-takers.

Therefore, the student performed better relative to other test-takers on the second test as the z-score of the second test is higher than the z-score of the first test.

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I need help I don’t really get it

Answers

Answer:

A. 72 cm

Step-by-step explanation:

72 x 2/3 = 48

Answer:

72 cm

Step-by-step explanation:

if the smaller figure is 48 cm and its a 2/3 ratio

lets just say 2x:3x

2x=48 so x would =24

then the larger perimeter would be 3*24 which is 72

ver imagen para la pregunta

Answers

Answer: C

Step-by-step explanation:



Yesterday, the temperature change for a 5-hour period of time was – -degree per
hour. Which statement describes this change?
A
The temperature rose 5 degrees.
B
The temperature rose 4 1/4 degrees.
с
The temperature fell 4 degrees.
D
The temperature fell 5 4/5
degrees

Answers

Answer:

D

Step-by-step explanation:

the measure of the vertex angle of an isoceles triangle is 120 degrees and the length of a leg is 8 cm. find the length of the diameter circumcised about this triangle

Answers

The length of the diameter circumcised about this isosceles triangle is 32 cm.

To find the length of the circumcircle's diameter, we can use the properties of an isosceles triangle.

In an isosceles triangle, the vertex angle is the angle formed by the two congruent sides. In this case, the vertex angle is given as 120 degrees.

We know that the vertex angle of an isosceles triangle is located opposite the base. Let's denote the base as side a, and the congruent sides as side b.

In an isosceles triangle, the base angles are congruent. Since the sum of the angles in a triangle is 180 degrees, each base angle in this triangle measures (180 - 120) / 2 = 30 degrees.

Now, we can apply the Law of Sines to find the length of the base, side a. The Law of Sines states:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, since angle A is the vertex angle and side a is the base, we have:

a/sin(120) = b/sin(30)

Using the given length of the leg (side b) as 8 cm, we can solve for side a:

a/sin(120) = 8/sin(30)

a = (8 × sin(120)) / sin(30)

Using the values of sin(120) and sin(30) from a trigonometric table or calculator:

a ≈ (8 × √3) / (1/2) = 16√3 cm

Now, let's find the length of the diameter of the circumcircle. The circumcircle of a triangle passes through the vertices of the triangle and has its center at the intersection of the triangle's perpendicular bisectors.

Since the triangle is isosceles, the perpendicular bisector of the base will pass through the vertex angle and bisect it, resulting in two 60-degree angles.

In an equilateral triangle, the perpendicular bisector of a side passes through the triangle's center, which coincides with the center of the circumcircle. Since our isosceles triangle has two congruent sides, we can treat it as half of an equilateral triangle.

The length of the diameter of the circumcircle of an equilateral triangle is given by the formula:

Diameter = 2 × (side length) / √3

In our case, since we have half of an equilateral triangle, the diameter of the circumcircle will be:

Diameter = 2 × (16√3) / √3 = 32 cm

Therefore, the length of the diameter circumcised about this isosceles triangle is 32 cm.

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Simplify: 6a - 2(5a - 6)

Answers

Answer:

[tex]-4a + 12[/tex]

Step-by-step explanation:

Save Homework: Sanchez HW 4 Question , 4.5.39 Pat 34 HW Score: 0.005, 333 points O Points of 1 Complete and card deviation of doctor in the computer and concerts and round and your resu michewa Cost of Living Adjustments Data Obwodoma ) Comparative Stary Mean Standard 52175510 Deviation ed the compartimothes for wema) City Comparative - Say Om NY $16.00 Coors for the land setting percentage and women and CITY Housing Los - 20 Cost of living we City Comparative Housing Sutary OC 587 2105 saepe 187 Love Bone 0.00 229 SEL $50.04 - Nupo 38.000 eden 348.904 1411 Los 3807 New 567.50 245 Portu New Y 47 154570 17 37 15457 NY 49 0 Print Done?

Answers

The mean housing cost for the given cities is $20.42.

The standard deviation of housing costs for the given cities is 1.91.

The mean is calculated by summing up all the values in the dataset and dividing the sum by the total number of values. In this case, we have the following data for housing costs in different cities:

Comparative City Housing Cost

NY $16.00

Coors $20.00

Los Angeles $22.05

Santa Barbara $18.70

Oceanside $22.90

Porterville $20.50

New York $21.40

To calculate the mean, we add up all the values:

Sum = $16.00 + $20.00 + $22.05 + $18.70 + $22.90 + $20.50 + $21.40 = $141.55

Next, we divide the sum by the total number of values, which is 7 in this case:

Mean = $141.55 / 7 = $20.42

Therefore, the mean housing cost for the given cities is $20.42.

The standard deviation is a measure of the spread or variability in the dataset. It tells us how much the individual values deviate from the mean.

The formula for calculating the standard deviation is:

σ = sqrt[(Σ(x - μ)^2) / N]

Where:

σ is the standard deviation

Σ represents the sum of

x represents each individual value

μ is the mean

N is the total number of values

Using the given data, we substitute the values into the formula:

σ = sqrt[((16 - 20.42)^2 + (20 - 20.42)^2 + (22.05 - 20.42)^2 + (18.70 - 20.42)^2 + (22.90 - 20.42)^2 + (20.50 - 20.42)^2 + (21.40 - 20.42)^2) / 7]

Simplifying the expression within the square root:

σ = sqrt[(5.2364 + 0.0016 + 0.0264 + 2.7164 + 0.0524 + 0.0064 + 0.0064) / 7]

σ = sqrt[8.0456 / 7]

σ = sqrt(1.1494)

σ ≈ 1.07

Therefore, the standard deviation of housing costs for the given cities is approximately 1.07.

These calculations provide a measure of the average and spread of the housing costs across the different cities.

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what number adds up to three and multiples 22 to

Answers

Answer:

Factors of 22: 1, 2, 11, and 22.

Prime Factorization of 22: 22 = 2 × 11.Step-by-step explanation:

Find the area of the composite figure. Please help me

Answers

Answer:

51.5 ft^2

Step-by-step explanation:

Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin. 10 B 10 0 10 А С 10 A(1, 2) A'l B(1, 3) - BC​

Answers

Answer:

A'=(4,-8)

B'=(4,12)

C'=(-12, -12)

Step-by-step explanation:

Ad 3 to the location you are heading remember first is x then y so (x, y)

X is always left and right

Y is always up or down

Find the difference. Write your answer in simplest form.

9/10 - 5/10

Answers

Answer:

2/5 is the simplest form.

Step-by-step explanation:

9/10 - 5/10 = 4/10 (9 - 5 = 4) 4/10 simplified is 2/5 (divide both 4 and 10 by 2 and you get 2/5).

Hope that helps!

answer these 3 questions please :) the table is shown above for these 3 questions

Answers

Answer:

Answer

Step-by-step explanation:

for 4. I think sports?

for 5. I think sports also.

Not sure though.. sorry if it's wrong.

Write the equation of the line if the slope is 6 and the y-intercept is -2.

Answers

Answer:

y=6x-2

Step-by-step explanation:

slope=6

y-intercept=-2

y=6x-2

A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the​ box?

Thanks in advance!

Answers

Answer:

852 inches square

Step-by-step explanation:

2×(16×15 + 16×6 + 15×6)

Answer:

652 in²

Step-by-step explanation:

The formula is 2(wl+hl+hw)

h is height

w is width

l is length

Use PEMDAS/BIDMAS/BODMAS (do the parentheses then multiply it)

326*2 = 652

add your units

652 in^2

Last season the girls' volleyball team had 5 seventh-grade students and 4 sixth-grade students. What is the ratio of sixth-grade students to seventh-grade students on the volleyball team? A 4:5 B 4:9 C 5:4 D5:9

Answers

Answer:

A) 4:5

Step-by-step explanation:

A) 4:5

B) 4:9

C) 5:4

D) 5:9

If there are 4 sixth grade students, you can already cross off D because there is no 4 as an option. There are 5 seventh grade students, you can cross off B because there's no 5. So now it's down to 4:5 or 5:4. Since it wants the ration of sixth to seventh, it's 4 to 5.

Hence, the ratio is 4:5, answer A

Hope this helps :)

Stay Cold,

Brook

10/y=2/9, find the solution of y. stat.

Answers

Answer:

y=45

Step-by-step explanation:

Let's solve your equation step-by-step.

10 y = 2 /9

Step 1: Cross-multiply.

10 y = 2 /9

(10)*(9)=2*y

90=2y

Step 2: Flip the equation.

2y=90

Step 3: Divide both sides by 2.

2y /2 = 90 /2

y=45

brainliest please?

Answer:

y = 45

Step-by-step explanation:

10/y=2/9

10 = y * 2/9  

10 = 2/9y

10 * 9 = 2/9y * 9

90 = 2y

90/2 = 2y/2

y = 45

ps: * means multiply

Im new here :) but hey you got these qs try your best okie

I hope and im glad to help

determine the volume of the rectangular prism.
height:12ft
width:6ft
length:3ft

Answers

Answer:

216 ft³

Step-by-step explanation:

h*w*l=v

[tex]12 \times 6 \times 3 = 216[/tex]

Can someone plz help me if u understand plz I beg u and care to explain if wanted

Answers

Answer:

first circle is radius= 12.5 inches and diameter= 25 inches

second circle is radius=2 feet and diameter=4 feet

Step-by-step explanation:

radius is the point halfway down the circle. diameter is full length straight across the whole circle.

further analysis;

in the first circle it gives you the diameter which is 25 inches. in order to get the radius you cut 25 in half which is 12.5 inches.

in the second circle it gives you the radius which is 2 feet. in order to get the diameter you need to double 2 feet which is a total of 4 feet.

26.2 miles in 4 hours. Find the unit rate

Answers

Answer:

Step-by-step explanation:

Unit rate = 26.2 ÷ 4 = 6.55

Question 2 of 10
If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
A. 4x + 1
B. 2x - 3
с. 3х – 3
D. 2x - 1

Answers

Cnski kaoushe e bad djjd. R

What is angle BXC and why?? Please help

Answers

Answer:

BXC=70 degrees

Step-by-step explanation:

XBC = 55

corresponding angles are equal

XCB=55

isosceles base angles are equal

BXC=70

angles in a triangle add up to 180 degrees

A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situation. Use $x$ to represent the number of roast beef sandwiches. Then determine how many sandwiches the customer buys.

Amount Used for Payment $80
Change Received $19.25
An equation that represents this situation is
.

The customer buys
sandwiches.

Answers

Answer:

[tex]\frac{80-19.25}{6.75} = x[/tex]

Step-by-step explanation:

Subtract $19.25 from the Amount Used for Payment ($80) to get the amount spent, then divide the amount of each sandwich to get the amount of sandwiches bought.

8 z
6
OD
UN
4 3
N
1 2 3 4 5 6 7 8 9
x
Which two equations represent the situation?
o y=jx and y=x-4
o =
O y=3+ and y = X+4
O y = 3x and y = x+4
O y = 3x and y = x-4

Answers

Answer:

Step-by-step explanation:

Sophia invest $12,350 in a account that earns 4.5% annual simple interest. Assuming she makes no additional deposits or withdrawals, how much interest will Sophia earn after 36 months?

Answers

You would find out how many years is 36 months and then do 12,350 x4.5x
X being the number of years.

Answer:

I DO NOT KNOW

Step-by-step explanation:

I am here for the answers

I am hungry

Pizza

You eat 11 grams of cereal each day. If you eat the same amount of cereal each day, how many grams of cereal will you eat in 5 days?

Answers

Answer:

55 grams

Step-by-step explanation:

11×5=55 grams

if its the same amount everyday then 55

(it made me type more)

Answer:55

Step-by-step explanation: 11x5

Five students took a quiz. The lowest score was 4, the highest score was 6, the average (mean) was 5.2, and the mode was 6. A possible set of scores for the students is:

Answers

A possible set of scores for the students is: 4, 4, 6, 6, 6

How to solve the measures of Central Tendencies?

We are given that five students took the quiz. If the lowest score is 4 and the highest score is 6, we can say that the set of values ​​can be expressed as:

4, x, y, z, 6

Here we can see that the mode is 6 and the mean is 5.2. Therefore, at least one other student of hers has scored her 6, which could result in:

4, x, y, 6, 6

Therefore:

(4 + x + y + 6 + 6)/5 = 5.2

16+x+y=26

x + y = 10

So the other two numbers are probably 6 and 4, because 6 is the mode, so they can't both be 5.

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Pls helpppp and thank you

Answers

If the question is y = blank(x) + blank (I can’t see the left of the equation
Then the answer is y = 2x + -4

using cramer’s rule, what are the values of x and y in the solution to the system of linear equations below?

Answers

The value of x =-3 and y=1 in the system of linear equation.

Given equations

-2x+3y+z=7

-4x-y-2z=15

x+2y+3z=-7

Using cramer's rule to find x and y

First we make matrix of coefficient of x,y and z and then find the determinant

[tex]A = \left[\begin{array}{ccc}-2&3&1\\-4&-1&-2\\1&2&3\end{array}\right][/tex]

Now we find determinant of A

|A|=-2(-3+4)-3(-12+2)+1(-8+1)

|A|=21

[tex]A_x=\left[\begin{array}{ccc}7&15&-7\\-4&-1&-2\\1&2&3\end{array}\right][/tex]

Determinant of Ax

|Ax|=7(-3+4)-3(45-14)+1(30-7)

|Ax|=-63

[tex]A_y=\left[\begin{array}{ccc}7&15&-7\\-4&-1&-2\\1&2&3\end{array}\right][/tex]

Determinant of Ay

|Ay|=-2(45-14)-7(-12+2)+1(28-15)

|Ay|=21

[tex]A_z=\left[\begin{array}{ccc}-2&3&1\\-4&-1&-2\\7&15&-7\end{array}\right][/tex]

Determinant of Az

|Az|=-2(7-30)-3(28-15)+7(-8+1)

|Az|=-42

Now we find for x, y and z

[tex]x=\frac{|A_x|}{|A|}[/tex]

= -63/21 = -3

[tex]y = \frac{|A_y|}{|A|}[/tex]

= 21/21 = 1

[tex]z = \frac{|A_z|}{|A|}[/tex]

= -42/21

= 2

Thus, the value of x =-3 and y=1 in the system of linear equation.

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Given question is incomplete, the complete question is below

using cramer’s rule, what are the values of x and y in the solution to the system of linear equations below?

A gardener made a scale drawing of a lawn with a scale factor of 1:4 The dimensions of her drawing are 15 inches long by 10 inches wide. Her partner plans to make another scale drawing of the lawn, but with a scale factor of 1:20. What are the dimensions of her scale drawing? O A. The length is 50 inches and the width is 75 inches, OB. The length is 3 inches and the width is 2 inches. O Q. The length is 75 inches and the width is 50 inches. O D. The length is 2 inches and the width is 3 inches.​

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Other Questions
Mr. Hart asked students to find the volume of the triangular prism below. Which student wrote the correct expression for the value of B, the area of the base? What is the value of 3x + 5y, when x = 12 and y = 4? 24 B 48 C 56 D 72 But a month or so later I received the official communication that turns the blood to icewater: The underlined phrase is an example of _____. answer choices: a). Ironyb). Hyperbolec). Eupheismd). Understatement If 10 miles16 km, about how many miles would be equal to 92 km? Show how you decided. 4. a "river" of high-speed ocean water, part of the florida current, passes in closest proximity to ______ coast. a horizontal force pulls a 40- kg bag of fertilizer across the floor. what is the minimum force required if the coefficient of friction is 0.36? need help please!!!!!!! The area of Region A is the same as the area of region c true or false Based on your feedback and considering the educational value of the game assignment, the game assignment is replaced by data analysis and visualization assignment. Assignment 2 project requirement is now as follows: Required: 1. Based on your field of study (Accounting, HR, Marketing, etc.), formulate management decision making questions related to management decision making. 2. Select/extract data with at least 100 rows and 20 columns to answer the specific management decision making questions you formulated in step 1. 3. Analyse the data you selected in step 2 for the purpose of answering the decision making questions formulated in step 1. 4. Summarize and present your findings to your executive using an Executive Dashboard. 5. At every step justify your work. What is the difference between a summary and a paraphrase?A) Both include a quotation, but a summary is longer. B)Both cover a large body of work, but a paraphrase includes a direct quote. C)Nothingthey are the same thing. D)A summary condenses information while a paraphrase simply restates it. what were the western chant dialects that were in pratice before the codification of chant by frankish rulers Boats from all along the Atlantic coast dock at a busy marina. Of the first 10 boats to dock at the marina one day, 5 were from Connecticut. Considering this data, how many of the next 12 boats to dock should you expect to be from Connecticut? Carmen has 8 popsicles in her freezer: 3 grape, 2 cherry, 2 orange and 1strawberry. If Carmen takes one popsicle out without looking, eats it, and thentakes another popsicle out without looking, what is the probability that bothpopsicles will be orange? which of the following, when dissolved in water, forms a weak acid.A. HNO3B. HClO4C. HBrD. HClOE. NH3 Suppose the learning activity by Teacher Thato and all the three assessment of learning activities by the student teachers captures the entire learning experience of Teacher Thato's learners. Discuss the extent to which Teacher Thato's learners were exposed to opportunities for achieving mathematical proficiency (Kilpatrick, Swafford & Findell, 2001). You have 64 grams of a radioactive kind of strontium. If its half-life is 6 hours, how much will be left after 3 hours? Which of the following ionic compounds will be more soluble in acid solution than in water?O CuIO PbCl2O Fe(OH)3O CaCO3 Find the total surface area of the rectangular prism Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedemas 8th grade math class? compare your plot description with that of the model. which of the following do both your response and the model include? check any of the boxes that apply. elements of exposition