Asummer camp has 32 campers. a total of 22 of them swim, 20 play softball, and 5 do not swim or play softball. which values complete the table? a = 15, b = 10, c = 7, d = 5, e = 12 a = 15, b = 7, c = 5, d = 10, e = 12 a = 14, b = 7, c = 5, d = 12, e = 10 a = 14, b = 12, c = 7, d = 5, e = 10

a = 15, b = 7, c = 5, d = 10, e = 12

Step-by-step explanation:

You only need to find d.

22+d=32, d=10

Only one choice has d=10

Don't waste time checking the others.

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°

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17