Answer:
Step-by-step explanation:
6x - 5 + 3x - 4 = 180 {Supplementary angles}
6x + 3x - 5 - 4 = 180
Combine like terms
9x - 9 = 180
Add 9 to both sides
9x = 180 + 9
9x = 189
Divide both sides by 9
x = 189/9
x = 21
Answer:
31.5 cm
Step-by-step explanation:
scale of an architecture is ratio of size of drawing to size of actual object.
Given size of football field is 160 feet by 360 feet
Given that on map shortest side is 14
since value of shortest side is 160 feet
then
scale defined for this football filed will be
scale = size of shortest side on model/size of shortest side of actual football field
scale = 14/160
Given that scale will remain same for longer side as
14/160= size of longer side on model/size of longer side of actual
14/160 = size of longer side on model/360
thus,
size of longer side on model = (14/160) * 360
size of longer side on model = 14*360/160 = 31.5
Thus, the other side of model that is longer side is 31.5 cm
Answer:
Height of bigger square pyramid = 3.072 meter
Step-by-step explanation:
Using equivalent ratios to find the side of the bigger square prism
128:8 = 250:X
X = (250 x 8) ÷ 128 = 15.625
Volume of a square pyramid = a x a x h/3
Hence to evaluate the height
250 = 15.625 x 15.625 x h/3
H = 3.072 meters
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