Answer:
X = 44°
Step-by-step explanation:
The angle other than 68°and and x is also 68° because its a isosceles triangle.
so 68° + 68° + x = 180° (angle sum property)
136° + x = 180°
x = 180 - 136
= 44°
hope this helps.
Answer:
44
Step-by-step explanation:
two lines are similar so there angel are the Same
A school janitor has mopped
1/3 of a classroom in 5 minutes. At what rate is he mopping?
Answer:
1/3 of the school in 5 minutes or in 15 minutes he will mop the whole entire school.
Step-by-step explanation:
=================================================
Work Shown:
1/3 of a classroom = 5 minutes
3*(1/3 of a classroom) = 3*5 minutes
1 classroom = 15 minutes
It takes the janitor 15 minutes to mop a full classroom.
The rate is expressed in units of classrooms per minute. This means we'll need to divide both sides by 15 to get
1 classroom = 15 minutes
1/15 classroom = 15/15 minutes
1/15 of a classroom = 1 minute
The janitor's rate is 1/15 of a classroom per minute.
Please help me I really need to turn this in !!!! Please
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given the table
Year Value ($)
1 18,000
2 15,300
3 13,005
Let us check the sequence
18000, 15300, 13005,...
Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:
[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]
As the ratio of all the adjacent terms is the same, so
[tex]r=\frac{17}{20}[/tex]
Therefore, the given sequence is a geometric sequence
Part b)
Given the sequence
18000, 15300, 13005,...
The nth term of the geometric sequence is
[tex]a_n=a_1\cdot r^{n-1}[/tex]
here
[tex]a_1=18000[/tex]
[tex]r=\frac{17}{20}[/tex]
so
[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]
In order to determine the car worth in the 15th year, substitute n = 15
[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]
[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]
[tex]a_{15}=18000\times \:\:0.10276[/tex]
[tex]a_{15}=1850[/tex] $
Therefore, the worth of a car in the 15th year will be: $1850
Write a number that when rounded to the nearest TENTHS is 382.9
Answer:
380
Step-by-step explanation:
If its a number 4-1 than it stays in the same tenths place if it a number 5- and up than it goes to a new number.
Find the measure of the largest angle
15x
24x
21x
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?
Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.
Answer:
Max is 17 years old and Bert is 11 years old
Step-by-step explanation:
System of Equations
Let's call
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem:
x - 5 = 2(y - 5) [1]
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
2y - 5 + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5
x = 17
Max is 17 years old and Bert is 11 years old
What is the factorization of the trinomial below?
x^2- 5x+4
Answer:A
Step-by-step explanation:
FOIL
The factors of the quadratic equation x²- 5x + 4 are (x - 4)(x - 1) option (A) is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have a quadratic equation:
= x²- 5x + 4
= x² -x - 4x + 4
= x(x - 1) - 4(x - 1)
= (x - 4)(x - 1)
Thus, the factors of the quadratic equation x²- 5x + 4 are (x - 4)(x - 1) option (A) is correct.
Learn more about quadratic equations here:
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Determined to find the slope
(1,7K) and (-3,5k)
9514 1404 393
Answer:
slope = k/2
Step-by-step explanation:
The slope formula is useful for finding slope.
m = (y2 -y1)/(x2 -x1)
m = (5k -7k)/(-3 -1)
m = -2k/-4
m = k/2
The slope is k/2.
Since the Boston marathon began in 1897, the finish time has been incrementally decreasing. The mean finish time to date is 231 minutes with a standard deviation of 40 minutes. Based on this information, what would allow us to use a Z-score in order to construct a confidence interval to estimate the mean finishing time of the most recent Boston Marathon with a sample size of 40 participants. Choose all that apply.
Answer:
hello your question lacks the required options but i will provide a general answer to your question
answer : The mean value and the standard deviation would allow us use a Z-score
Step-by-step explanation:
mean value = 231 minutes
standard deviation ( std ) = 40 minutes
sample size = 40
The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation
This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations
+Zscore means that the score is above the average value
-Zscore means that the score is below the average value
Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?
Answer:
The price would be $51.75.
Step-by-step explanation:
Since Joe is marking up by 15%, the price will increase for the pair of shoes. Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.
Lauren saves 30% of her paycheck to purchase the iPhone 12. She earns $325 per paycheck. How much will Lauren have for her iPhone if she has saved from the first 2 paychecks
PLS HELP
Answer:
She will have saved $195
Step-by-step explanation:
If we had her two paychecks together she will have saved $650.
30% of 650 = 195
We get this by taking 650 times .3
Simplify 8 - (14) please help
Answer:
The answer is - 6 hope this helped
centra
Jonah drives his car to and from work. The total length of the trip to and from work is 19.8 miles. In
August, Jonah worked 26 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
26
Jonah drove
miles in August
Plz
514.8 your welcome
All you have to do is multiply 19.8 x 26
Write the data from greatest to least: 0.8, 0.79, 0.08, 0.81, 0.09, 0.9, 0.89
Answer:
0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08
Step-by-step explanation:
Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8
Step-by-step explanation:
First find the greatest
0.09, 0.89,0.81, 0.08, 0,79
Then the least
0.9 .0.8
Now put it all together
0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8
In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80
Answer:
60°
Step-by-step explanation:
In an equilateral triangle all sides are equal so as all angles are same,
3 sided fig. 180÷3= 60°
11) It takes you 15 minutes to frost a 2 layer cake. You and a friend have 100 1 point
cakes to frost for the church bake sale. How many hours will it take the two
of you to frost all of the cakes if you work at the same time rate? Hint: It
takes you 15 minutes to frost one cake, you can frost 4 cakes in 1 hr. *
B. 8 hours
O c. 12.5 hours
Answer:
12.5 hours
Step-by-step explanation:
100/4=25
25/2=12.5
Given that
R
=
2
x
+
2
y
Find
y
when
x
=
9
and
R
=
29
Give your answer as an improper fraction in its simplest form.
Answer: y=11/2
Step-by-step explanation:
r = 2x + 2y
29=2(9) + 2y
29=18 + 2y
11 = 2y
11/2 = y
Solve the following problems:
Find x , y PLEASE HELP
Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
What is the rule for the function shown in the table?
Input x -2 -1 0 1/2
Output y -8-5-2 1 4
O y=2x-2
Oy= x-6
O y= 4x
O y = 3x - 2
PLS HELP LOL
Answer:
2nd
Step-by-step explanation:
Determine whether the relationship is a function. Complete the explanation.
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Answer:
the relationship is not a function
Step-by-step explanation:
it's not a function because two of the domains are the same.
The relationship represented by these ordered pairs is not a function.
We have,
To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).
If there is any x-value that is associated with multiple y-values, then the relationship is not a function.
Let's analyze the given set of ordered pairs:
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Here, we can see that the x-value 8 is associated with both y-values 8 and 7.
Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).
In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.
Thus,
The relationship represented by these ordered pairs is not a function.
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Explain whether △ABC is congruent to △XYZ according to the angle side angle (ASA) congruence criteria.
Answer:
∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Step-by-step explanation:
The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.
In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.
Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
what is 5 and 9 tenths times 1 and 9 tenths
Answer:
11.21
Step-by-step explanation:
5.9*1.9
Show distributive property steps to evaluate 9 · 67 ?
603
Step-by-step explanation:We are given the expression:
9*67
Evaluating the expression:
We can write 67 as (60+7). So, we can rewrite the given expression as:
9*(60+7)
Using the distributive property:
(9*60) + (9*7)
540 + 63
603
Explain how the number line can
help a player order the values from
least change in the treasure
account balance to the greatest
DUE TODAY
change in the treasure account
balance.
9514 1404 393
Answer:
points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.
Step-by-step explanation:
The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.
Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...
-1.75, 2.50, -3.25, -3.50, 4.75
What is the solution set for 2x – (x + 5) < 3x – 9 ?
Answer:
x > 2
Step-by-step explanation:
x - 5 < 3x - 9
x - 5 + 5 < 3x - 9 + 5
x < 3x - 4
x - 3x < 3x - 4 - 3x
-2x < -4
(-2x)(-1) > (-4)(-1)
2x > 4
2x/2 > 4/2
x > 2
Answer:
x > 2.
The solution in interval notation is (2, ∞).
Step-by-step explanation:
2x - (x + 5) < 3x - 9
2x - x - 5 < 3x - 9
2x - x - 3x < -9 + 5
-2x < -4
Divide both sides by -2
x > 2 (Note that the sign flips because we are dividing by a negative)
Using the triangles shown below, explain how the ASA congruence criteria follows from the definition of congruence in terms of rigid motions.
Answer:
I have this question too
Step-by-step explanation:
All i know is that the ASA shows that even when they are rotated or translated due to rigid motions, they are still congruent because it shows that the angles and sides are equal.
Dimitri's table top is a whole number of
square feet. Could the length and width
be decimal numbers each with one
decimal place? Explain your answer.
Answer:
No, it cannot.
Step-by-step explanation:
When you multiply a factor 1 or greater, the product gets larger. However, when you are multiplying decimals, the product gets smaller. (Ex. When you multiply 0.1 [or 0.10], you are making the product ten times as small.)
Consider the diagram and angle measurements shown below.
m<1 = (x +14)
m <3 = (3y + 7)
m <4 = (5y-73)
m<5 = (3x -54)
What is m <2
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: i did it
Plz help with question
Answer:
x=25 and c=75
Step-by-step explanation:
(x+5)+(3x)+c=180
x+5+3x+c=180
x+3x+c=175
4x+c=175
c=-4x+175
c=3x
-4x+175=3x
175=7x
x=25
c=3x
c=3(25)
c=75
a store buys shirts for $12 each and marks up the price by %25. what is the price for a shirt at this store??
Answer:
Step-by-step explanation:
The price of the shirt at the store is $16
12 x .25 = 4
4 + 12 = 16