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inysia [295]
3 years ago
9

What is the measure of z?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

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Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister. You must in
Oxana [17]

Answer:

17, 19 and 21

Step-by-step explanation:

Consecutive odd numbers mean odd numbers that are right next to each other.

Eg: 3, 5, 7

Let x represent the youngest sister. The sister older than her will be 2 years older than her, hence (2 + x). The oldest sister would be 4 years older than the youngest and two years older than the middle sister, hence (4 + x).

The sum of their age = 57.

Hence:

x + (2 + x) + (4 + x) = 57

x + 2 + x + 4 + x = 57

Simplify

3x + 6 = 57

Rearrange

3x = 57 - 6

3x = 51

Divide both sides by 3 to make x on its own (this way we can find the age of the youngest sister).

x = 17 (youngest sister is 17 years old)

x + 2 = 19 (middle sister is 19 years old)

x + 4 = 21 (oldest sister is 21 years old)

4 0
2 years ago
Given that the length of the side of a square based prism is 10 cm, and its volume is 1000 cubic centimeters , find its height.
Zinaida [17]
I think D). But I could be wrong.. Sorry if I am...
8 0
3 years ago
Which of the following is the result of using the remainder theorem to find F(-2)
Jobisdone [24]

Answer:

A. 9

Step-by-step explanation:

F(-2) = 9

We are given the polynomial function;

F(x) = -2x3 + x2 + 4x-3

In order to determine F(-2) using the remainder theorem, we plug in -2 in place of x in the equation and simplify;

F(-2) = -2(-2)^3 + (-2)^2 + 4(-2) - 3

F(-2) = 9

6 0
3 years ago
Read 2 more answers
I need to know the answers to my math test. 25 points please answer correct answers
DENIUS [597]

Answer:

im doing the same thing need help too

Step-by-step explanation:

3 0
3 years ago
If 2x+3y=6 and -5x+2y=4 then what is x and y??
zalisa [80]

Answer:

x=0 y=2

Step-by-step explanation:

2x+3y=6 .... 1

-5x+2y=4 .... 2

Multiply 5 with equation 1 and multiply 2 with equation 2

Then we get

10x+15y=30

-10x+4y=8

-10x and +10x get canceled so 19y=38

y=38/19=2

substitute y value in equation 1 or 2 and find the value to get x

8 0
2 years ago
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