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Naddik [55]
3 years ago
8

m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°. If ∠WYX and ∠WYZ are complementary, what is the measure of each angle?

Mathematics
1 answer:
Neko [114]3 years ago
5 0

We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.

∠WYX and ∠WYZ are complementary.

We know, sum of complementary angles is = 90°.

So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.

m∠WYX + m∠WYZ = 90°.

Plugging values of ∠WYX and ∠WYZ in the above equation, we get

(2x−1)° + (4x+1)° = 90°.

Removing parentheses from both sides,

2x-1 + 4x+1 =90.

Combining like terms,

2x+4x= 6x and -1+1 =0

6x +0 =90.

6x=90.

Dividing both sides by 6.

6x/6 =90/6

x= 15.

Plugging value of x=15.

m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29

m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.

Therefore, ∠WYX=29° and ∠WYZ=61°.



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Step-by-step explanation:

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First we will open the bracket by distributive property A( B +C) = AB + AC

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6.-3(t +5 ) + (4t + 2) = 8

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Using distributive property A( B +C) = AB + AC we get

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Using distributive property A( B +C) = AB + AC we get

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3 years ago
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Masteriza [31]

\huge\boxed{\text{As an expression:}\ 3x-2=9}

\huge\boxed{\text{Solved for x:}\ x=\frac{11}{3}}

Let's start with "3 times a number". We will use x to represent the number. 3x

"2 less than" is next. -2

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Put it all together to get an expression. \boxed{3x-2=9}

Now, let's solve for the unknown number.

Add 2 on both sides of the equation. 3x=11

Divide both sides of the equation by 3 to isolate x. x=\boxed{\frac{11}{3}}

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___________________________________________________
The correct answer is:
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</span>          (x − 4) (x² − 5x + 3) = 

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