Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula
The product of slopes of two perpendicular lines is -1.
Slope of GR is
Slope of RT is
Product of slopes of GR and RT is
Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule
Then the coordinates of T' are
Slope of RT' is
Product of slopes of GR and RT' is
Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
Answer:
The perimeter of the p triangle = 38.4 cm
Step-by-step explanation:
Given
The perimeter of a triangle z be = 48 cm
The triangle is dilated by a scale factor of 0.8
To determine
What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?
- As the scale factor < 1, it means the new perimeter will be reduced.
The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8
i.e.
Perimeter of triangle p = 48 × 0.8 = 38.4 cm
Therefore, the perimeter of the triangle p is = 38.4 cm
Use the formula i = p*r*t.
Here, p = $100000, r = 0.05 and t = 1 (year)
The interest would be i = $100000*0.05*1 = $5000 per year.
Answer:
C.
Step-by-step explanation:
The formula for a cylinder is V = (pi) (r^2) (h) so 12*12 is 144. 144*pi*17 is 2448 pi units cubed.
6t + 5j= 34
2t + 3j = 16
12t + 10 j = 68
12t + 18j = 96
-8j = -28
j = 3.5
jelly beans= 3.5 and trail mix = 2.75
