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hoa [83]
2 years ago
12

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

Mathematics
1 answer:
iragen [17]2 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

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Dream Studio offers 5 music lessons for $60. Fox Studio offers 8 music lessons for $72. What is the cost per lesson at each stud
ehidna [41]
Answer:
Dream Studio offers music lessons at $12 per lesson. Fox Studio offers music lessons at $9 per lesson. The better deal here would be Fox Studio. This is because Fox Studio offers cheaper lessons. For eight lessons at Dream Studio it costs $96, where as eight lessons at Fox Studio costs only $72.


Explanation:
Step 1 - Find the cost per lesson at Dream Studio

60 / 5 = 12

So, $12 per music lesson at Dream Studio.

Step 2 - Find the cost per lesson at Fox Studio

72 / 8 = 9

So, $9 per music lesson at Fox Studio.

Step 3 - Find out which offers a better deal

•Dream Studio = $96 for eight music lessons
• Fox Studio = $72 for eight music lessons
6 0
3 years ago
Please someone help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
kogti [31]

Answer:

z = 44

Step-by-step explanation:

180 - (44+52) = 180 - 96 = 84º

180 - 84 = 96º

180 - (96 + 40) = z

     180 - 136 = z

     z = 44

5 0
2 years ago
Give an example of a research experiment, indicating the independent and dependent variables, as well as the experimental and th
Vitek1552 [10]

Answer:

In a study to determine whether how long a student sleeps affects test scores, the independent variable is the length of time spent sleeping while the dependent variable is the test score. You want to compare brands of paper towels, to see which holds the most liquid.

hopes it helps

8 0
3 years ago
Which students line segments have a midpoint of (-1,4)? Select all that apply A. Student 1 B. Student 2 C. Student 3 D. Student
SashulF [63]

Answer:

C. Student 3

E. Student 5

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})

<u><em>Verify the midpoint of each student</em></u>

student 1

we have the endpoints

(-9,0) and (11,-8)

substitute in the formula

M(\frac{-9+11}{2},\frac{0-8}{2})

M(1,-4)

so

The midpoint is not (-1,4)

student 2

we have the endpoints

(-6,-1) and (4,-7)

substitute in the formula

M(\frac{-6+4}{2},\frac{-1-7}{2})

M(-1,-4)

so

The midpoint is not (-1,4)

student 3

we have the endpoints

(-5,2) and (3,6)

substitute in the formula

M(\frac{-5+3}{2},\frac{2+6}{2})

M(-1,4)

so

<u>The midpoint is equal to (-1,4)</u>

student 4

we have the endpoints

(-3,10) and (5,-2)

substitute in the formula

M(\frac{-3+5}{2},\frac{10-2}{2})

M(1,4)

so

The midpoint is not (-1,4)

student 5

we have the endpoints

(0,-3) and (-2,11)

substitute in the formula

M(\frac{0-2}{2},\frac{-3+11}{2})

M(-1,4)

so

<u>The midpoint is equal to (-1,4)</u>

therefore

Student 3 and student 5

3 0
3 years ago
How do you find the square root of a number?
MariettaO [177]

Answer:

multiply a number  by a number

Step-by-step explanation:

such as 8 times 8=64

which means the square root of 64 is 8

3 times 3=9

so the square root of 9=3

Hope this  helps you

6 0
3 years ago
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