Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
Step-by-step explanation:
ok, logic
all of them are parabolas
1st and 3rd are opening up, so they defenitely increase, so no
decraseing
the vertex hs to be be at x=-4
y=a(x-h)^2+k
h has to be -4
y=a(x+4)^2+k
the answer is 2nd one or f(x)=-(x+4)^2+4
Answer:
x =4
Step-by-step explanation:
sum of angles in a triangle = 180
(equilateral triangle) all sides are equal
180 ÷ 3 = 60
10x+20 =60
10x = 60 - 20
10x = 40
10x ÷10 = 40÷ 10
x = 4
<u>520 m²</u>
Here given:
length: 10 m
width: 8 m
height: 10 m
surface area of rectangular prism:
2(lw+hw+hl)
2(10*8+10*8+10*10)
2(80+80+100)
2(260)
520 m²
