X = measure of angle<span>complement: 90 -x
supplement: 180 - x
</span>Four times the complement increased by forty-six = 4(90-x) + 46
twice the supplement: 2(180 - x)
so
<span>Four times the complement increased by forty-six is the same as twice the supplement
</span>
4(90-x) + 46 = 2(180 - x)
360 - 4x + 46 = 360 - 2x
2x = 46
x = 23
answer
measure of angle x = 23
measure of complement = 90 - 23 = 67
measure of <span>supplement = 180 - 23 = 157</span>
Answer:
1.84metres
Step-by-step explanation:
convert 76cm to metres
76/100=0.76m
convert 8cm to metres
8/100=0.08m
therefore we have,
1+0.76+0.08=1.84metres
Under box 36x + 9, Drag the following:
A.) 9(4x + 1)
D.) (9 . 4x) + (9 . 1)
Under box 9(4x - 1), Drag the following:
B.) (3 . 12x) - (3 . 3)
C.) 36x - 9
Under box (4 . 9x) + (4 . 2), Drag the following:
E.) 4(9x + 2)
F.) 36x + 8
Hope this helps!
Given:
volume of larger cone : 8000 m³
radius of larger cone: 5 m
radius of smaller cone: 2 m
volume of smaller cone: ?
Find the volume of the smaller cone using the ratio of the volumes.
a / b = c / d where ad = bc
5m / 8000 m³ = 2 m / x
5m * x = 8000 m³ * 2m
5m * x = 16000 m⁴
x = 16000 m⁴ / 5m
x = 3200 m³
