Step-by-step explanation:
Sum of angles in a triangle = 180°.
Question 3:
We have 90° + 61° + (14x + 1)° = 180°.
=> 14x° + 152° = 180°
=> 14x° = 28°
=> x = 2.
Question 4:
We have 70° + 55° + (4x + 3)° = 180°.
=> 4x° + 128° = 180°
=> 4x° = 52°
=> x = 13.
Answer:
b= 5
c = 10, x=7 hypotenuse = 7
Step-by-step explanation:
A 30-60-90 triangle has the ratios of x-x-2x so if x=5, then 5-5 - 10
for a 45-45-90, if one leg is 7, so is the other x so hypotenuse is 7
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
D'(-3,-4)
E'(-3,-10)
F'(3,-6)
