Answer:
11) x = 11
12) x = 11
Step-by-step explanation:
11) Δ RQP and Δ RLK are similar.
Hence, the ratios of the corresponding sides of the two triangles will be constant.
So, 
⇒ 
⇒ 
⇒ x - 4 = 7
⇒ x = 11 (Answer)
12) Δ QRS and Δ QDC are similar.
So, 
⇒ 
⇒ 2x - 14 = 8
⇒ 2x = 22
⇒ x = 11 (Answer)
Answer: 6.6 miles
Step-by-step explanation:
Since he finished 22% of his skiing in the morning, that means he still has 78% (100% - 22%) of his skiing left.
The remaining 78% is equivalent to 23.4 miles. We need to know the total miles of the skiing. This will be:
78% of x = 23.4
0.78 × x = 23.4
0.78x = 23.4
x = 23.4 / 0.78
x = 30 miles
Since the total skiing is 30 miles and he has 23.4 miles left, the miles covered in the morning will be:
= 30 - 23.4
= 6.6 miles
Answer:
b both pairs of opposite sides are parallel