the 3rd vertex is on the x axis line which means Y =0
since the longer leg is twice as long as the shorter leg and the length of the shorter leg is a, then twice the length would be 2a ( 2 times a)
so the 3rd vertex is (2a,0)
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:
x=9, y=3
Step-by-step explanation:
-4x+6y=-18
y=-2x+21
-4x+6(-2x+21)=-18
-4x-12x+126=-18
144=16x
x=9
y=-2x+21
y=-18+21
y=3
Answer:
Step-by-step explanation:
4 4/5= 24/5 24/5\4/5=6/5= 1/15
