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3 years ago

Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

8x - 20 = 5x + 37

8x - 5x = 37 + 20

3x = 57

x = 57 ÷ 3

x = 19

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X−6y=19 solve for y.

Mrac [35]

Answer: y= - 19/6+x/6

Step-by-step explanation: maybe

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3 years ago

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

Kisachek [45]

<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

7 0

3 years ago

Can anyone help me with this math question

Lynna [10]

Answer:

89 seats are not being used

Step-by-step explanation:

You subtract the seats being used by teachers

342 - 75 =267

Change 2/3 into a percentage = 66.6%

Find 66.6% of 267= 177.8 (I rounded up to 178)

Then subtract 177.8/178 from 267 to find the amount of seats not being used.

The amount of seats not being used would come down to 89 seats.

I hope this helps!

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3 years ago

When dividing 878 by 31 a student finds a quotient of 28 with a remainder of 11 check the students work and use the check to fin

sveticcg [70]

878 ÷ 31 = 28 with a remainder of 10

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3 years ago

What is the area of the following circle of the radius is 4=r

maria [59]

Answer:

50.24 (unit squared! cm2, m2, etc.)

Step-by-step explanation:

Area is: Pi x r^2

3.14 x 4^2 = 3.14 x 16 = 50.24

8 0

3 years ago

Read 2 more answers

Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​

Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)