All categories

4 years ago

Find the values of x and y in the figure below. Enter the answers as numbers.

Mathematics

1 answer:

ella [17]4 years ago

8 0

Answer: $x=79^{\circ}\ and\ y=101^{\circ}$

Step-by-step explanation:

In the given picture, a parallelogram PQRS is given with angle 101°.

In a parallelogram opposite angles are equal.

Since, y is opposite to 101°.

Therefore y=101°

Also, the sum of the adjacent angles of a parallelogram is 180°

$\\\Rightarrow\ x+101^{\circ}=180^{\circ}\\\Rightarrow\ x=180^{\circ}-101^{\circ}\\\Rightarrow\ x=79^{\circ}$

You might be interested in

A business reports a a net income of -3,900 over a 6-month period. What is the average income per month for that period?

Veronika [31]

I’m guessing it’s B because it’s -3900 divide by 6 to get the average income per month. -3900/6 = -650

5 0

3 years ago

Explain why y = 3x IS an exponential function and y = x3 is NOT an exponential function.

arlik [135]

Because y=3x has a coefficient of 3 and y=x3 does not have a coefficient because the variable is the first terms. therefore it is not an exponential function.

8 0

3 years ago

Classify the triangle.<br> obtuse<br> equiangular<br> right<br> acute

horrorfan [7]

Answer:

Acute

Step-by-step explanation:

Note the definitions:

Obtuse: At least one of the angles are greater than 90°

Equilateral: All angles are congruent & equal to 60°

Acute: All angles are less than 90°

Right: At least one angle is equal to 90°

In this case, the triangle is a D) acute, for it fits the requirement for being an acute... all angles are less than 90°.

4 0

3 years ago

Read 2 more answers

How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c

VMariaS [17]

The answer is d. 5y − x = −10. 3y − x = 24

$\frac{1}{5}x-2= \frac{1}{3}x+8=y$
⇒    $y= \frac{1}{5}x-2$
   $y= \frac{1}{3}x+8$
________________________
$y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}$
$y= \frac{x}{3} +8= \frac{x}{3} + \frac{24}{3} = \frac{x+24}{3}$
________________________
$y= \frac{x-10}{5}$ ⇒    $5y=x-10$
$y= \frac{x+24}{3}$   ⇒    $3y=x+24$
________________________
$5y-x=-10$
$3y-x=24$

5 0

3 years ago

What is the slope of a line parallel to the line with equation y = 5x – 2

BARSIC [14]

Answer:

A:5

Step-by-step explanation:

if it asks for parallel it will always be the same slope

5 0

3 years ago