1.) From 1890 through 1990, the total number of people T and the number of men M in the US labor force can be modeled by the following equations, where t is the number of years since 1890. T = 0.0086t2 + 0.087t + 25.375

M = 0.0016t2 + 0.315t + 19.467

Find a model for the number of women in the US labor force.

answer: a. 74

step-by-step explanation:

it shows divided evenly, so add the 37+37 = 74

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°

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it