If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
Corresponding sides are proportional. Sides with the same mark are the same length.
WX/XY = LM/MN = LM/KJ
WX/10 = 18/15
WX = 180/15 . . . . multiply by 10
WX = 12
The function in this problem should be: <span>f(x) =x</span>² <span>+ 12x + 6
y = x</span>² + 12x + 6
y - 6 = x² + 12x
x² ⇒ x * x
12x ⇒ 2*6*x
missing number is 6² = 36
y - 6 + 36 = x² + 12x + 36
(x+6)(x+6) ⇒ x(x+6)+6(x+6) ⇒ x² + 6x + 6x + 36 = x² + 12x + 36
y + 30 = x² + 12x + 36
y = (x+6)² - 30
Choice is D. 36,-36
Answer:
Let the three consecutive integers be x,x+1,x+2
ATQ
x+2(x+2)+15=4(x+1)
=3x+19=4x+4
= x=15
..... Hence. The nos. Are 15,15+1=16 and 15+2=17
Step-by-step explanation: