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stealth61 [152]
3 years ago
9

Type your answer into the box. X 30° Calculate the size of angle x. angle x =​

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

<h2>x = 60°</h2>

Step-by-step explanation:

We know:

All triangles have internal angles that add up to 180°.

And

All right triangles have acute angles that up to 90°.

Therefore

x + 30° + 90° = 180°

x + 120° = 180°     |<em>subtract 120° from both sides</em>

x + 120° - 120° = 180° - 120°

<h3>x = 60°</h3><h3 /><h3><em>or</em></h3><h3><em /></h3>

x + 30° = 90°     |<em>subtract 30° from both sides</em>

x + 30° - 30° = 90° - 30°

<h3>x = 60°</h3>
andrezito [222]3 years ago
4 0

Answer:

60°

Step-by-step explanation:

90°+30°=120°

180°_120°=60°

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For each value of y , determine whether it is a solution to -21=6y-9 . A -5, B 3 , C -2, D 9
Nezavi [6.7K]

Option C

For each value of y, -2 is a solution of -21 = 6y - 9

<u>Solution:</u>

Given, equation is – 21 = 6y – 9  

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

<em><u>Option A) </u></em>

Given option is -5

Let us substitute -5 in given equation

- 21 = 6(-5) – 9

- 21 = -30 – 9  

- 21 = - 39  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option B)</u></em>

Given option is 3

- 21 = 6(3) – 9  

- 21 = 18 – 9  

- 21 = 9  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option C)</u></em>

Given option is -2

- 21 = 6(-2) – 9  

- 21 = - 12 – 9  

- 21 = - 21  

L.H.S = R.H.S ⇒ yes a solution

<em><u>Option D)</u></em>

- 21 = 6(9) – 9

- 21 = 54 – 9  

- 21 = 45  

L.H.S ≠ R.H.S ⇒ not a solution

Hence, the solution for the given equation is – 2, so option c is correct

6 0
4 years ago
There are 18 female students and 16 male students in a class. Which of the following expresses the ratio of female students to m
fiasKO [112]

Hey!

-------------------------------------------------

Solution:

The ratio is FEMALES to MALES.

So its 18/16, 18:16, or 18 to 16.

~Now we need to simplify.

18:16 → 18/2:16/2 → 9:8

*Note* When you have a ratio you need to know which comes first. If you put males to females that incorrect. It has to be correct according to the question.

-------------------------------------------------

Answer:

\large\boxed{B)~9~to~8}

-------------------------------------------------

Hope This Helped! Good Luck!

4 0
3 years ago
simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2. 2 square root of 8 8 square root
Alex787 [66]

<u>Answer</u>

8√2


<u>Explanation</u>

Simply: 4√2 + 7√2 - 3√2

Let √2 = x

4√2 + 7√2 - 3√2 = 4x + 7x - 3x

                             = 11x - 3x

                             = 8x

Substituting x with √2

4√2 + 7√2 - 3√2 = 8√2

4 0
3 years ago
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Dima020 [189]

Answer:

15 ounces

Step-by-step explanation:

6/40 = 0.15

0.15 x 100 = 15

15 ounces

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What is the surface area of the pyramid?​
xxMikexx [17]

Answer:

B.) 166

Step-by-step explanation:

10 x 2 = 20

12 x 10 = 120

13 x 2 = 26

20 + 120 + 26 = 166

8 0
4 years ago
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