Answer:
The ratios are proportional ratios
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°
Answer:
The scale factors that make figure smaller are the option D. -0.5 and the option E. 0.25
Step-by-step explanation:
we know that
If the absolute value of the scale factor is greater than 1, then the image will be larger than the pre-image.
If the absolute value of the scale factor is less than 1, then the image will be smaller than the pre-image.
If the absolute value of the scale factor is equal to 1, then the image will be the same size than the pre-image.
Additionally, a negative scale factor causes the dilation to rotate 180 degrees
therefore
In this problem
The scale factors that make figure smaller are the option D. -0.5 and the option E 0.25
B.38 because if 5 of the 18 are nickels which equal 5 you have 13 coins left and you have 25 cents. Now the rest are pennies that equal one cent so you just add 13 to 25 and you get 38 cents
(x-1)(x-9)
Hope this helps