Contestants on a game show are given an inequality to solve. After solving, the contestant spins the spinner. If the spinner lands on a solution to the inequality, the contestant wins a prize.

SARA

-4(2x + 4) > 8x + 64

ALEJANDRO

7x + 20 2(x - 15)

21-12

-7 -6

-11 10

DARIA

3(x - 17) < 9(1-3x)

JAMAL

5(x + 11) > -4(-x - 12)

In 1-4, solve the contestant's inequality. Use the solutions to answer 5-10.

1. Sara:

4. Jamal:

2. Alejandro

3. Daria:

1 2 <2

7-7

I <-5

:: 2 > -10

468

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.