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michael11948
04.02.2020 •
Mathematics
If triangle pqr is an equilateral triangle, solve x and y.
pq is 14y-59
qr is 9y+1
rp is 11y-23
angle r is 7x-3
20 points
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Ответ:
x = 9 and y = 15
Step-by-step explanation:
An equilateral triangle, all sides and angles are congruent and each angle is equal 60 degrees
PQR is an equilateral triangle
So
PQ = QR = RP
Given:
PQ is 14y-59
QR is 9y+1
RP is 11y-23
Angle R is 7x-3
PQ = QR
Plug in
14y-59 = 9y+1
5y = 60
y = 15
Angle R is 7x-3, also <R = 60
So
7x - 3 = 60
7x = 63
x = 9
Answer
x = 9 and y = 15
Ответ:
x= 9 and y= 12
Step-by-step explanation:
Given : Triangle PQR is an equilateral triangle.
PQ is 14y-59
QR is 9y+1
RP is 11y-23
Angle R is 7x-3 (1)
We know that , In an equilateral triangle
All sides are equal.
⇒ PQ = QR
⇒ 14y-59 = 9y+1
⇒ 14y-9y =1+59 [Subtract 9y and add 59 on both sides]
⇒ 5y=60
⇒ y= 12 [Divide both sides by 5]
All angle angles of equilateral triangle are equal and have measure 60° .
⇒ Angle R = 60°
⇒ 7x-3= 60 [From (1)]
⇒ 7x= 63 [Add 3 on both sides]
⇒ x= 9 [Divide both sides by 7]
Hence, the value of x= 9 and y= 12.
Ответ:
Top answer · 16 votes
A. 9(4a-3)Distribute to each term inside parentheses.
Step-by-step explanation: