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Answer:
∡ABC=55°
Step-by-step explanation:
<u>Step 1: Identify all angles</u>
∠A=(x+45)°
∠B=(6x+5)°
∠C=(3x)°
∠ABC=(180-∠B)°=(180-(6x+5))°
<u>Step 2: Use the Triangle Angle Sum Theorem</u>
∠A+∠ABC+∠C=180°
(x+45)+(180-(6x+5))+(3x)=180
x+45+180-6x-5+3x=180
-2x+45+180-5=180
-2x+45-5=0
-2x+40=0
-2x=-40
x=20
<u>Step 3: Plug in x=20 for ∠ABC</u>
∠ABC=(180-(6x+5))°
(180-6(20)-5)°
(180-120-5)°
(60-5)°
55°
So ∡ABC=55°
Answer:2/9
Step-by-step explanation:
Answer to apx
Answer:
Option C
Step-by-step explanation:
step 1
Find the slope of AB
we have
A(-3,-1) and B(4,4)
The slope m is equal to
step 2
Find the slope of BC
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so
we have
substitute
step 3
Find the equation of the line into slope point form
we have
substitute
Multiply by 5 both sides
Multiply by -1 both sides