Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
Step-by-step explanation:
J ---- P --- K
JP = 2x
PK = 7x
JK = 27
2x + 7x = 27
9x = 27
x = 27/9
x = 3
The value of P is 3.
JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21
6x + 5 = 4x + 5
2x + 5 = 5
2x = 0, x = 0
Y = 6(0) + 5, y = 5
Solution: x = 0, y = 5
**4/5** is equal to .8, so 4/5 is the answer. to check, multiply .8 x 5 = 4
Explanation:
The sum of the measures of the interior angles of a triangle is 180°. Then the sum of the given angles is 180°:
m∠P +m∠Q +m∠R = 180°
(5x)° +(5x)° +(8x)° = 180°
18x = 180 . . . . . . . . . . . . . . . collect terms, divide by °
x = 10 . . . . . . . . . . . . . . . . . . divide by 18. This is your desired result.
