The correct answer is 3×10^16
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively
Answer:
x = 2.5
Step-by-step explanation:
2x - 11 = -8x + 14
Add 8x to both sides
10x - 11 = 14
Add 11 to both sides
10x = 25
Divide both sides by 10
x = 2.5
