Answer:
39.2°
Step-by-step explanation:
Vertical angles are always congruent.
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
__
The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Let’s make
P = Pamela
J = Jiri
J - 6 = P
P + J = 78
We can replace P with J - 6 because they are the same thing.
J - 6 + J = 78
2J - 6 = 78
2J = 84
J = 42
Jiri is 42 years old.
Answer:
Total cost of the trip = 243 + 72x
Step-by-step explanation:
Cost of airfare = $243
Amount spent per day = $72
Which expression can he use to help him find the cost of the trip?
Let
x = number of days spent in Alaska
Total cost of the trip = Cost of airfare + (Amount spent per day * number of days spent in Alaska)
= 243 + (72 * x)
= 243 + 72x
Total cost of the trip = 243 + 72x
If he spent 4 days on the trip
Total cost of the trip = 243 + 72x
= 243 + 72(4)
= 243 + 288
= $531
∠1 and ∠2 are RIGHT ANGLES, VERTICAL ANGLES, and SUPPLEMENTARY ANGLES.
Hope this helps!
