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3 years ago

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

1 answer:

5 0

The term "supplementary" means that the two angles add up to 180°, which means we can write an equation:
17x + x = 180
18x = 180
÷ 18
x = 10
And now you can multiply 10 by 17, because it is 17 times the angle, to get 170° and 10° as your answer.

I hope this helps!

You might be interested in

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit

SCORPION-xisa [38]

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = proportion of people who write with their left hand

So, Null Hypothesis, $H_0$ : p = 0.22 {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, $H_A$ : p $\neq$ 0.22 {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

4 0

3 years ago

1. Which ray is a bisector of BC BD BA BF 2. What is GH? 5 10 15 25 3. What is the value of

zhenek [66]

1. BD
2. 15
3. y=2
4. Angle(DBE)
5. 47

I hope this helps.
Next time try to post each question seperately

3 0

3 years ago

18. what Gives the missing value in 2/5 = x/30?

Korolek [52]

X is equal to 12
This is because 5 was multiplied and 6 making 30. So you have to multiply 2 and 6 making x 12. Hope that makes sense

3 0

3 years ago

A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8

Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of triangular prism = $Area of triangle \times height$

$432 = Area of triangle \times8$

Dividing both side by 8

$54 = Area of triangle$

$54 =$ $\frac{1}{2} \times base \times height$

$54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height$

Multiplying both side by 2

$108 = 12 \times height$

Dividing both side by 12

$9 = height$

Thus, height of the triangular base of the prism is 9

3 0

3 years ago

Helen got a $7 reduction in the price of pair of jeans that are normally $32. What is the aproximate percent decrease In The pri

hjlf

$ 7 dollar reduction....that means new price is (32 - 7) = 25

percent decrease = (original number - new number) / original number..* 100
(32 - 25) / 25....* 100
7/25 * 100
0.28 * 100
28% decrease <==

6 0

3 years ago