Answer:
See explanation
Step-by-step explanation:
If
then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

and

Angles 1 and 3 are supplementary, so

Angles 2 and 4 are supplementary, so

By substitution property,

Hence,

Consider triangles APX and BPY. In these triangles:
- given;
- given;
- proven,
so
by ASA postulate.
Congruent triangles have congruent corresponding sides, then

Therefore, triangle APB is isosceles triangle (by definition).
Answer:
x = 32
Step-by-step explanation:
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
16 / 1/2 = x
16 * 2/1 = x
32 = x
Answer:
Required Expression : 7·(s + d) - 25
Step-by-step explanation :
Cost of each plant both buys = $7
No. of plants Stephanie wants to buy = s
Total cost of plants bought by Stephanie = 7·s
No. of plants Diego wants to buy = d
Total cost of plants bought by Diego = 7·d
Total cost = 7·s + 7·d
= 7·(s + d)
Discount applied through coupon = $25
So, Total cost of all their plants with discount = 7·(s + d) - 25
Answer:
-12
Step-by-step explanation:
x-9.37+5.77=1.3x