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Fynjy0 [20]
3 years ago
7

Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the pro

portion you used.

Mathematics
1 answer:
ikadub [295]3 years ago
6 0

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let  x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15)                   Combine like terms on the left

14/18 = 15/(x + 15)                          Cross multiply

14*(x + 15) = 18 * 15                        Simplify the right

14(x + 15) = 270                             Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29                               Subtract 15 from both sides

x = 19.29 - 15

x = 4.29    

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zysi [14]

Option D is the correct answer.

Answer:

D. ∠B and ∠C are congruent.

Step-by-step explanation:

Since, ∠A and ∠B are supplementary.

Therefore,

∠A + ∠B = 180°.....(1)

Since, ∠A and ∠C are supplementary.

Therefore,

∠A + ∠C = 180°.....(2)

From equations (1) & (2)

∠A + ∠B = ∠A + ∠C

=> ∠B = ∠C

Hence, ∠B and ∠C are congruent.

4 0
4 years ago
Find the range for the function: y=x-7 {-3,0,2,5}
trasher [3.6K]

Answer:

Range is : { -10, -7, -5, -2 }

Step-by-step explanation:

Given:

The function is given as:

y=x-7

The domain of the function = { -3, 0, 2, 5 }

A function's input is called its domain and a function's output is called its range.

The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.

Here, the domain is given as:

Domain = { -3, 0, 2, 5 }

We need to find the values of 'y' for each value of 'x' taken from the domain set.

Plug in x=-3. This gives,

y=-3-7=-10

Plug in x=0. This gives,

y=0-7=-7

Plug in x=2. This gives,

y=2-7=-5

Plug in x=-5. This gives,

y=5-7=-2

Therefore, the set of all values of 'y' is the range.

Range is equal to { -10, -7, -5, -2 }.

8 0
4 years ago
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3 years ago
What is the name of the formula to use when adding multiple cells together?
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C ) sum 

hope it helped...

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3 years ago
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Answer:(c)

Step-by-step explanation:

Given : In a hypothesis testing the null hypothesis has been rejected when the alternative hypothesis has been true.

Find : to find that the given decision is create type I error , type II error or right decision has been taken

Step by step :

In hypothesis testing there are 2 types of error.

(1)Type I error :- if the null hypothesis is rejected when it is true, is known has Type I error .

(2)Type II error:- if the null hypothesis is accepted when alternative hypothesis is true, is known as type II error.

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