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2 years ago

What is the measure of x?

Mathematics

2 answers:

emmasim [6.3K]2 years ago

4 0

The measure of x is 24 degrees
One straight line is 180 degrees
We already have another line that forms an angle with the straight line and it gives u 156
So just subtract 156 from 180 to see what remains and that’s the answer

andriy [413]2 years ago

4 0

Answer:

$x = 24 {}^{o}$

Step-by-step explanation:

The angle x and BOC are supplementary, then

$\widehat{BOC} + x = 180 {}^{o} \\ then \: \: 156 {}^{o} + x = 180 {}^{o} \\ hence \: \: x = 180 {}^{o} - 156 {}^{o} = 24^{o}$

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faust18 [17]

Hey there mate!

Please check the attached answer of picture for explanation.

$Have \: a \: great \: day! \: :)$

8 0

2 years ago

Read 2 more answers

Matthew scored a total of 168 points in basketball this season. He scored 147 of those in the regular season, and and the rest w

MaRussiya [10]

Answer:

12.5%

Step-by-step explanation:

Step1. Determine the points Matthew had during playoff by subtracting points made during regular season from total points in season.

168 points this season

- 147 points regular season

21 points scored in playoff

Step 2. Get the percentage, by dividing playoff points over total points in season

21 ÷ 168 = 0.125

Step 3. Multiply it by 100 to get the percentage equivalent from decimal.

0.125 x 100% = 12.5%

7 0

3 years ago

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the sala

balu736 [363]

The restaurants sold 50 salads.

-The given is that they sold 35 garden salads which is 70% of their sales.
-Now, to get how many salads 1% is equal to, you divide 35 by 70
-35/70 = 0.5
-So now, multiply 16 by 0.5 and 14 by 0.5
-16(0.5)=8 and 14(0.5)=7
-Add the three together to get 50
-Now, check to see if it works
70% of 50 is 35
16% of 50 is 8
14% of 50 is 7

Hope this helps and is right, have a good day!

4 0

3 years ago

Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to prove w

Arte-miy333 [17]

Let $k$ be an integer. Suppose there is a triangle with legs of length 16 and $2k+1$ . Then by the Pythagorean theorem, the length of the hypotenuse should be

$\sqrt{16^2+(2k+1)^2}=\sqrt{4k^2+4k+257}$

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if $x=16$ and $y=2k+1$ are integers, then so are $x^2-y^2$ , $2xy$ , and $x^2+y^2$ .

However, $4k^2+4k+257$ is not a perfect square trinomial, which means for any integer $k$ , the length of the hypotenuse is not an integer, so such a triangle doesn't exist.

4 0

3 years ago

Multiply. (5x2-6x+2) x (4x2-3x)

stich3 [128]

Answer:

18x² - 84x + 96

Step-by-step explanation:

(5 × 2 - 6x + 2) × (4 × 2 - 3x)

5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 48x + 18x² - 6x

96 - 84x + 18x²

18x² - 84x + 96

Hope this helps! :)

6 0

3 years ago