Ratio of complement of x : supplement of x
2 : 5
⇒ 2 times the supplement of x will be equal to 5 times the complement of x

5(90 - x) = 2 (180 - x)
450 - 5x = 360 - 2x
5x - 2x = 450 - 360
3x = 90
x = 30°

Complement of x = 90 - x = 90 - 30 = 60
Supplement of x = 180 - x = 180 - 30 = 150
Ratio:
60 : 150
60 ÷ 30 : 150 ÷ 30
2 : 5 (checked)

4 0

3 years ago

Need answer this urgent and fast

Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

Hey There!

so this is a parallelogram so opposite angles are congruent

So basically what i am saying is that angle P is congruent to angle R

So we need to solve for x

We know that angle P and angle Q are supplements meaning that they will add up to 180

so we setup the equation

$180=3x+5+8x-12\\$

step 1 combine like terms

$3x+8x=11x\\5-12=-7$

now we have

180=11x-7

step 2 add 7 to each side

180+7=187

-7+7 cancels out

now we have

187=11x

step 2 divide each side by 11

187/11=17

x=17

now we plug in 17 to (3x+5) to get the value of angle R

17x3=51

51+5=56

therefore m∠R = 56

5 0

2 years ago

Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A)

Alexeev081 [22]

Answer:

237

Step-by-step explanation:

5 0

3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 7 3 12 4 17

Mila [183]

Answer:

Step-by-step explanation:

(1, 2) (2, 7)

(7-2)/(2 - 1) = 5/1= 5

y - 2 = 5(x - 1)

y - 2 = 5x - 5

y = 5x - 3

7 0

3 years ago