Answer:
m∠RPQ = 8°
Step-by-step explanation:
m∠QRS = 4x - 15
m∠RPQ = x + 1
m∠PQR = x - 2
m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS
m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}
4x - 15 = x +1 + x - 2
4x - 15 = x + x + 1-2 {Combine like terms}
4x - 15 = 2x - 1 {Subtract 2x from both sides}
4x - 2x - 15 = - 1
2x - 15 = - 1 {Add 15 to both sides}
2x = -1 + 15
2x = 14 {Divide both sides by 2}
x = 14/2
x = 7
m∠RPQ = x + 1 = 7 + 1 = 8°
Since 0 < y < 1.5, hence the coordinate (1,1) is a solution
<h3>A solution to the system of inequality</h3>
Given the following inequality expression
y>0
y< 2.5x - 1
Wee are to check if (1, 1) is a solution to the systen of equation
If x = 1
y < 2.5(1) - 1
Y < 2.5 - 1
y < 1.5
Since 0 < y < 1.5, hence the coordinate (1,1) is a solution
Learn more on inequality here: brainly.com/question/24372553
Answer:
x=−3y+36
Step-by-step explanation:
We already know that the area of the rectangle increased by a square of the factor 7. So the dilated area of it (which we will call "Ad"), is:
Ad= (47)(7^2)
Ad= 47x49
Ad= 2303 m^2
What is the area of the dilated rectangle? The area of the dilated rectangle is 2303 m^2.
