1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
3 years ago
12

Given the figure below, find the values of x and z.

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

x=6 and z=107

Step-by-step explanation:

From the figure or diagram we can say that

z+15x-17=180 ---(1)

z+11x+7=180 ---(2)

Subtracting (1) and (2)

z+15x-17-(z+11x+7)=180-180

4x-24=0

4x=24

x=6

Substitute x=6 in (2)

z+11(6)+7=180

z+66+7=180

z=180-73

z=107

You might be interested in
Which one of the sides is this?
pshichka [43]
I don’t know if these are options for the drop box thing but SAS (side angle side), makes the triangles congruent
4 0
3 years ago
Un cuadrado tiene de lado 5 cm, si se construye otro cuadrado semejante con una razón de semejanza de 0.6. ¿cuánto mide el lado
xz_007 [3.2K]

Answer:

0.03

Step-by-step explanation:

7 0
3 years ago
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her universi
romanna [79]

Answer: The p-value is 0.154.

Step-by-step explanation:

Since we have given that

We claim that

Null hypothesis :

H_0:\mu=20

Alternate hypothesis :

H_1:\mu

Population mean = 20 hours

Sample mean = 18.5 hours

Sample standard deviation = 4.3 hours

Sample size n = 35

So, test statistic would be

z=\dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\z=\dfrac{18.5-20}{\dfrac{4.3}{\sqrt{35}}}\\\\z=\dfrac{-1.5}{0.726}\\\\z=-2.066

So, the  p value would be 0.154.

Hence, the p-value is 0.154.

4 0
4 years ago
What is the starting point of this function
Finger [1]

the starting point of the function is 0

6 0
3 years ago
The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length
olga nikolaevna [1]
We know that the formula for the area of a rectangle is: 

A=lw 

We know that the area is 165. Now we need to solve for the dimensions. 

Let the width of the rectangle be "x"

Then the length of the rectangle is 3x+2 

Substitute. 

(3x+2)(x)=156 

Multiply the terms. 

3x^2+2x=156 

Bring the 156 over. 

3x^2+2x-156=0 

We have to use the quadratic formula to solve this now. Let us restate it: 

x= \frac{-b± \sqrt{b^2-4ac} }{2a}

Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is: 

\frac{ \sqrt{469}-1 }{3}

Since we cannot have a negative answer, we must cancel out the other answer, which I did not include. 

Hope this helped! :) 

~Cam943, Junior Moderator
5 0
4 years ago
Read 2 more answers
Other questions:
  • Dan scored 87 on his math test. The
    8·1 answer
  • Which number sentence is NOT an inequality?
    12·2 answers
  • Could you please help me with this questions ASAP
    6·1 answer
  • (-2,3)(-2,5) in y=Mx+b form
    10·1 answer
  • The 2010 census data for the population of three states is shown below according to the data which of the following statements i
    11·1 answer
  • Find the slope of the line that passes through (57, -27) and (-19, -34)
    6·2 answers
  • Help with geometry<br>Which figure correctly shows the line of symmetry?
    5·2 answers
  • I got this wrong somehow..... does anyone know what I did wrong? I thought 8 was the base and 12 was the height
    14·1 answer
  • kyle walked his neighbors dog to earn money.He earned $89.49 during a 3 month period.What was the average amount kyle earned eac
    12·1 answer
  • Which variable expression represents the following word phrases?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!