Answer:
c)
Step-by-step explanation:
Answer:
∠APD and ∠CPB are Vertical Angles
Equation: 6x - 10 = 4x + 8
Step-by-step explanation:
We use the Vertical Angles Theorem to solve for <em>x</em>:
Step 1: Set up equation
6x - 10 = 4x + 8
Step 2: Subtract 4x on both sides
2x - 10 = 8
Step 3: Add 10 to both sides
2x = 18
Step 4: Find <em>x</em> by dividing 2 on both sides
x = 9
Step 5: Plug in <em>x</em> for 9 to find degree measure
m∠CPB = 4(9) + 8
m∠CPB = 36 + 8
m∠CPB = 44°
m∠CPB = m∠APD (Vertical Angles)
m∠APD = 44°
Answer:
(-3, -5)
Step-by-step explanation:
By using the distance formula, we see that the length of RT is
which equals
.
The ratio of RS to ST is 3:2, so we can write the distance of RS as
which equals
. The distance of ST is then
.
Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:
and 
We solve for x and y, getting (-3, -5).