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tatiyna
3 years ago
13

Find the measure of angle Y

Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

So we can write:

∠x+∠y+∠z=180°

∠y+∠y+∠y=180°  {using equation (i) }

3∠y=180°

divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

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In order to solve the following system of equations by addition, which of the
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Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given <u>system of equations</u>:

\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>.  To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

\implies -3(4x-2y=7) \implies -12x+6y=-21

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

\implies 2(3x-3y=15) \implies 6x-6y=30

Add the two equations together to <u>eliminate y</u>:

\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}

<u>Solve</u> for x:

\implies -6x=9

\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}

<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:

\implies 3\left(-\dfrac{3}{2}\right)-3y=15

\implies -\dfrac{9}{2}-3y=15

\implies -3y=\dfrac{39}{2}

\implies y=-\dfrac{39}{2 \cdot 3}

\implies y=-\dfrac{13}{2}

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0
1 year ago
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Answer:

1, see the picture below, I used a calculator!

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2 years ago
10. Solve using substitution.<br> x - 2y = 3 3x + y = -5
nasty-shy [4]

Move all terms that don't contain x to the right side and solve.

x=−5/3−y/3

plz mark me as brainliest :)

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2 years ago
What is the value of h?
nekit [7.7K]

Answer:

10ft

Step-by-step explanation:

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2 years ago
3. Evaluate a + b for a = -46 and b= 34.<br> A:-12<br> B:80<br> C:-80<br> D:12
blsea [12.9K]

Answer:

<h2>A: -12</h2>

Step-by-step explanation:

Put the values of a = -46 and b = 34 to the expression a + b:

-46 + 34        <em>use the commutative property a + b = b + a</em>

= 34 + (-46) = 34 - 46 = -12

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3 years ago
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