Answer:
90°
Step-by-step explanation:
AB and CD are parallel lines and EF is reversal
Therefore angles BGH and DHG are consecutive interior angles
<u>As we know the sum of consecutive interior angles equals to 180°:</u>
<u>Line GP bisects angle BGH , therefore</u>
<u>Line HP bisects angle GHD, therefore</u>
<u>Sum of two angles of triangle GHP:</u>
- m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°
<u>Therefore the missing angle a is:</u>
- ∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°
Answer:
6 with remainder of 26
Step-by-step explanation:
270 goes into 1646 six times.
270 • 6 = 1620
1646 - 1620 = 26 leftover.
39/1.5 = 26 km per hour
51/3 = 17 km per hour
Then you need the mean. 26+17/2 = 21.5 km per hour
Answer:
Refer to attached
Step-by-step explanation:
<u>Given inequality</u>
<u>We can put this as</u>
We know the given exponential function has positive range y > 0
And the linear inequality covers the space above the line
This is all matching the last graph that is attached
Answer:
b c e g are all correct
Step-by-step explanation:
b. √(50x²) = √(50) * √x² = √(25) * √x² * √(2) = 5*x*√2
c. √(32x) = √(16 *2x) = √16 *√(2x) =4*√(2x)
d. √(18n) = √(9*2n) = √9*√(2n) = 3*√(2n)
g. √(72x²) = √(36 * 2 * x²) = √36 *√x² * √2 = 6x*√2