Answer:
1. a + b + c = 180
2. b + d = 180
3. d = a + c
Step-by-step explanation:
1. a + b + c = 180:
Angles in a triangle add up to 180
2. b + d = 180:
Angles in a straight line equal 180 because they are supplementary angles
3. d = a + c:
ΔACD is an exterior angle, and ΔACB is interior adjacent, hence ∠a and ∠c add up to ∠d
Answer:
Step-by-step explanation: I DON'T CARE
Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
Let x be the amount of cement and y be the amount of sand. If <span>the ratio of cement to sand for mortar is 1:3, then

and y=3x.
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So, if <span>Sandy puts in x=7 shovels of cement, then she puts

shovels of sand.
</span><span>
</span><span>
Answer: 21 shovels of sand.
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