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4 years ago

PQRS is an isosceles trapezoid. Find the value of each variable. What does x+y+z=? Just write the final number value. *

Mathematics

2 answers:

maksim [4K]4 years ago

5 0

Answer:

x + y + z = 41.5

Step-by-step explanation:

(5x)° = 100°

x = 20

(4y + 10)° + 100° = 180° ⇒ y = $\frac{35}{2}$ = 17.5

(4z² + 16)° + 100° = 180° ⇒ z = 4

x + y + z = 20 + 17.5 + 4 = 41.5

Rudik [331]4 years ago

3 0

Answer:a

Step-by-step explanation:

I got it right

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Evaluate x^{3} - 3y when x = -3 and y = 4.

Inessa05 [86]

Answer:

-39

Step-by-step explanation:

Substitute x by - 3 and y by 4

(-3)^3 - 3 *4 = - 39

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3 years ago

What is the answer in simplifying this expression: 8v(v-5)-8v(3-4v)

uranmaximum [27]

8v(v-5)-8v(3-4v)

8v^2 - 40v - 24v + 32v^2

40v^2 - 64v

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4 years ago

Last year, there were 120 scholars in the school band. This year, there are 150. What was the percent charge un membership,?

julia-pushkina [17]

Answer:

25%

Step-by-step explanation:

In order to find percentage you need to insert it into this equation:

$\frac{150 - 120}{120} \\$

Then you get

$\frac{30}{120}$

Which is 0.25 or 25%

3 0

3 years ago

In the system shown below, what are the coordinates of the solution that lies in quadrant IV?

katrin2010 [14]

Answer:

The coordinates of the solution that lies in quadrant IV are (2, -5)

Step-by-step explanation:

We have 2 equations, the first of an ellipse and the second of a circumference.

$2x^2+y^2=33\\x^2+y^2+2y=19$

To solve the system solve the second equation for x and then substitute in the first equation

$x^2+y^2+2y=19\\\\x^2 = 19 -y^2 -2y$

So Substituting in the first equation we have

$x^2 = 19 -y^2 -2y\\\\2(19 -y^2 -2y)+y^2=33\\\\38 -2y^2-4y +y^2 = 33\\\\-y^2-4y+5=0\\\\y^2 +4y-5 = 0$

Now we must factor the quadratic expression.

We look for two numbers that multiply as a result -5 and add them as result 4.

These numbers are -1 and 5.

Then the factors are

$y^2 +4y-5 = 0\\\\(y-1)(y+5) = 0$

Therefore the system solutions are:

$y = 1$ ; $y = -5$

In the 4th quadrant the values of x are positive and the values of y are negative.

So we take the negative value of y and substitute it into the system equation to find x

$y=-5\\\\2x^2+(-5)^2=33\\\\2x^2 = 33-25\\\\2x^2 = 8\\\\x^2 = 4$

$x = 2$ , and $x= -2$

In the 4th quadrant the values of x are positive

So we take the positive value of x

the coordinates of the solution that lies in quadrant IV are (2, -5)

6 0

3 years ago

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Which of the following situations can be represented by a proportional relationship?

Zina [86]

Answer:

i think D

Step-by-step explanation:

im not great at math but yea i think D

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3 years ago

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