Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
Answer:
Look if it has 1 regtangle as the base and 4 triangles it is a rectangular pyramid.
If it has 2 circles as the base and a long tube it is a cylinder.
If it has 2 triangles and 3 rectangles it is a triangular prism
Lastly if it 6 sides of rectangles and squares it is a rectangular prism
Answer:
175 dimes and 75 quarters
Step-by-step explanation:
Make a system of equations, where d is the number of dimes and q is the number of quarters:
d + q = 250
0.1d + 0.25q = 36.25
Solve by elimination by multiplying the top equation by -0.1:
-0.1d - 0.1q = -25
0.1d + 0.25q = 36.25
0.15q = 11.25
q = 75
Then, plug in 75 as q into one of the equations to solve for d:
d + q = 250
d + 75 = 250
d = 175
So, there are 175 dimes and 75 quarters
Answer:
n=-6
Step-by-step explanation:
2(n+5)=-2
distribute
2(n+5)
2xn 2x5
2n+10
2n+10=-2
subtract 10 from both sides
10-10=0
-2-10=-12
2n=-12
divide each side by 2
2n/2=n
-12/2=-6
n=-6
Answer:
16.7% (rounded)
Step-by-step explanation:
Step 1. Make a proportion, which is 2/12 times x%/100
Step 2. Cross multiply = 2*100/12
Step 3. Solve = 16.(6) or, 16.7% rounded!
