Please help Show work

A 55
B 20
C 38
D 70

x = 16

Step-by-step explanation:

Both the angles are complementary (add up to 90°)

=> (4x - 10) + (x) = 90°

=> 5x + 10 = 90°

=> 5x = 80°

=> x = 80/5

=> x = 16

Hope this helps!

x = 20

Step-by-step explanation:

→ Recall how many degrees on a straight line

180°

→ Form an equation

90 + 4x - 10 + x = 180

→ Simplify

80 + 5x = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)