Answer:
The answer to your question is: 30°
Step-by-step explanation:
Data
m∠ 1 = 5x
m∠ 3 = x - 24
Process
m ∠ 1 = m ∠ 3 because they are vertical angles
5x = x - 24
5x - x = 24
4x = 24
x = 24 / 4
x = 6
Angle 1 = 5(6)
= 30°
Answer:
x=118.25
Step-by-step explanation:
3−2x=−1.5−6−226
3+−2x=−1.5+−6+−226
−2x+3=(−1.5+−6+−226)(Combine Like Terms)
−2x+3=−233.5
−2x+3=−233.5
Step 2: Subtract 3 from both sides.
−2x+3−3=−233.5−3
−2x=−236.5
Step 3: Divide both sides by -2.
−2x
−2
=
−236.5
−2
x=118.25
B
given a quadratic equation in standard form
ax² + bx + c = 0
Then we can describe the nature of the roots using the discriminant
Δ = b² - 4ac
• if b² - 4ac > 0, then 2 real, distinct and irrational roots
• if b² - 4ac > 0 and a perfect square, then real and rational roots
• if b² - 4ac = 0, then real and equal roots
• if b² - 4ac < 0, then roots are not real
for x² + 9x + 14 = 0
with a = 1, b= 9 and c = 14, then
b² - 4ac = 9² - (4 × 1 × 14 ) = 81 - 56 = 25
Since b² - 4ac > 0 and a perfect square, then roots are real and rational
1.) about 154 months
2.) about 30 months
3.) about 75 months
4.) about 100 months
