Answer:
vertex angle = 180° - 2x
Step-by-step explanation:
Since, the measure of each base angle of an isosceles triangle is represented by x.
So, by interior angle sum postulate of a triangle, we have:
x + x + vertex angle = 180°
2x + vertex angle = 180°
vertex angle = 180° - 2x
So, the vertex angle is represented by (180° - 2x).
How does a 90° counterclockwise rotation about the origin change the coordinates of a shape
Answer:
Step-by-step explanation:
it switches the x and y coordinates and places a negative on the new x
P=(x,y)
90° CCW rotation P'(-y,x)
Answer:
it switches the x and y coordinates and places a negative on the new x
P=(x,y)
90° CCW rotation P'(-y,x)
Step-by-step explanation:
Triangle IHJ is similar to triangle RST.
What is the length of side _
RT
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 396 grams with a variance of 441. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal.
Required:
State the null and alternative hypotheses.
Answer:
We reject H₀
Step-by-step explanation:
Normal Distribution with n = 22 ( sample size)
n<30 we need to use a t-student distribution
Sample mean μ = 396
Population mean ( required mean ) μ₀ = 405
Sample variance is 441 then sample standard deviation s = √441
s = 21
Hypothesis Test
Null Hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ < μ₀
Significance level α = 0,1
The test is a one-tail test to the left
From t-student table we find for t(c)
degree of fredom df = 22 -1 df = 21
and α = 0,1 t(c) = - 1,3232
To compute t(s)
t(s) = ( μ - μ₀ ) / s /√n
t(s) = ( 396 - 405 )*√n / 21
t(s) = - 9 *4,69 /21
t(s) = - 2,01
Comparing
t(s) and t(c) - 2,01 and - 1,3232
|t(s)| > |t(c)| then t(s) is in the rejection region we must reject H₀
Helpppp meee (10 points )
State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.
Given: m∠R = 29° and m∠T = 29°
Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS
Step-by-step explanation:
IN the given triangles (ΔQRS and ΔUTV),
m∠R = 29° and m∠T = 29° (given)
[tex]\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}[/tex]
By SAS similarity rule , ΔQRS ≈ ΔUTV .
Correct option: B. ΔQRS ≈ ΔUTV, SAS
The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.
Write an equivalent expression 2x + 10
Answer: 2 (x+5)
Step-by-step explanation:
Answer:
x+5
Step-by-step explanation:
Write 270g as a fraction of 1.5kg
Answer:
9:50
Step-by-step explanation:
270/1500
divided by 10
27/150
divided by 3
9:50
complete the equation of the line whose y-intercept is (0,5) and slope is -9
y= ???
Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form
I need help
Answer:
3/5, 4/5, 3/4
Step-by-step explanation:
First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4
The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Calculation of the sine, cosine, and tangent:Here first we determine the BC by applying the Pythagorean Theorem.
[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]
So the BC should be 12
hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Learn more about an angle here: https://brainly.com/question/3401487
Pls help urgently extra points and mark brainlist
Answer:
You got it right it is the second option
Step-by-step explanation:
I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)
Answer: the last one
Step-by-step explanation:
7% of what length is 200 feet
Answer:
Roughly 2857.14
Step-by-step explanation:
Answer:
2857.14285714 feet.
Step-by-step explanation:
If we put your question into an equation, we get:
7/100 * n = 200
We multiply both sides by 100 to get rid of the fraction, and get:
7n = 20000
Then, to find n, we divide both sides by 7.
Therefore,
n = 2857.14285714.
Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.
Answer:
y = 49
x = 15
Step-by-step explanation:
The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49
(7x + 13) + (2x - 9) + 41 = 180
add like terms - 9x + 45 = 180
subtract - 9x = 135
Divide - x = 15
8+3(p-9)
Pleaseeee helppp
Answer:
3p - 19
Step-by-step explanation:
8 + 3(p - 9)
Distribute;
8 + 3p - 27
Collect like terms;
-19 + 3p
3p-19 by using addition and the distributive property
R IN Complete the following statement. The quotient of 5 = A is equal to the quotient of A +5. А. B C D E O== 0 1 NEXT QUESTION O ASK FOR HELP
A=5 and 0=5A is there answer
what is the answer for 4+3x=-56
Answer:
x=-20
Step-by-step explanation:
3x=-56-4
3x=-60
x=-20
How do you write the unit rate for 1/5÷1/15
Answer:
3
Step-by-step explanation:
1/5 / 1/15 = 3
In a standard Normal distribution, what percentage of observations lie above z = 0.16?
14.46%
43.64%
56.36%
85.54%
Answer:56.36
Step-by-step explanation:
The percentage of observations lying above z = 0.16 will be 56.36%. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The percentage of observations lie above z = 0.16 will be given as,
⇒ P(z < 0.16) x 100
⇒ 0.5636 x 100
⇒ 56.36%
The percentage of observations lying above z = 0.16 will be 56.36%. Then the correct option is C.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
#SPJ2
15 is ______% of 400 part, percent, whole?
Answer:
15 is 3.75% of 400
Step-by-step explanation:
Hi there!
First we divide 15 by 400 to get 0.0375.
To find the percentage, more the decimal point two spaces to the right.
This would become 3.75
That’s your percentage!
Hope this helped!
example of 12 hours and 50 minutes add 8 hours 46 minutes step by step yarr please urgent tommorow is my paper
Answer:
21:36
Step-by-step explanation:
add the hours
add the minutes
if minutes are 60 or more
subtract 60 form minutes
and add 1 to hours
6. Moira has a canvas that is 8 inches by 10 inches. She wants to paint a line diagonally from the top left corner to the bottom right corner. Approximately how long will the diagonal line be? show work
Answer:
12.8in
Step-by-step explanation:
Pythagorean theorem
8^2 + 10^2 = c^2
64 + 100 = 164 = c^2
C= 12.8in
Answer:
from fithagorh the line =
[tex] \sqrt{10 ^{2} + 8 ^{2} } = \sqrt{164} = 12.961 \: inch[/tex]
helppppppppppppppppp
Answer:
library-6
auditoriam-54
1 1/2k + 1/2 (18 + 16k)
help pls
Answer:
[tex] \frac{11}{2} k + \frac{1}{2} (18 + 16k) \\ = \frac{11k + 18 + 16k}{2}=\frac{1}{2} (27k + 18) \\ = (13.5k + 9)[/tex]
which fraction is equivalent to 6/12
Answer:
1/2
Step-by-step explanation:
....................
A cone has a radius of 6 inches and a Hight 11 inches what is the volume of the cone.
Answer:
about 414.69
Step-by-step explanation:
Use the equation πr^2(h /3)
r = radius
h = height
3x3z−6z for z=5 solve pllllsslssss
Is (7. - 1) a solution of y = x -8?
Yes
No
Answer:
Yes
Step-by-step explanation:
Substitute the x and y values in for x and y to check.
-1 = 7 - 8
-1 = -1
In this instance, (7, -1) is a solution of y = x - 8.
PLEASE HELP ASAP I WILL GIVE YOU THANKS BRAINIEST.
Answer:
subtracting 2 from 5 is not possible in first step
so. D. subtract 5 and 3 is the correct option
Step-by-step explanation:
2 can't be subtracted from 5 here because 2 is multiplied by (x- 7)
Find the percent markup. Round to the nearest whole percent. Store's cost: $100.00 Selling price: $160.00
Answer:
im here for the points
Step-by-step explanation:
how do I write the expression using exponents.8⋅w⋅w⋅w⋅w
Answer:
8w^4
Step-by-step explanation:
hope this helps!
NEED HELP AILL GIBE 20 point...
9514 1404 393
Answer:
36°
Step-by-step explanation:
BY bisects angle B, which has a measure of 72°. That means angles 3 and 4 are each half of 72°, or 36°.
m∠4 = 36°