Alejandra wants to raise at least $400 for charity. She has 190 that she will be donating. Alejandra plans to ask her friends to contribute $15 each. Write an inequality that represents Alejandra’s situation. How many friends will need to contribute for Alejandra to reach her goal?

15x + 190 >= 400

* >= means greater than or equal to *

at least 14 friends

Step-by-step explanation:

without the inequality it'd be 15x + 190 = 400

but since you want it to be at least 400 you change the = to the greater than or equal to sign

15x + 190 = 400 * subtract 190 from both sides*

15x = 210 *divide both sides by 15*

x = 14

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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°