To stay healthy kevins doctor said he should try to consume at most 2000 calories a day write an inequality to show the amount of calories Kevin should consume

C ≤ 2,000 calories

Step-by-step explanation:

Here, we want to write an inequality

Let the number of amount of calories to be consumed be C

The term at most means that it cannot pass 2,000

Hence, it must be lesser than this

So the inequality will be;

C ≤ 2,000 calories

it will be a cylinder. with a diameter of 8 and 4 single pieces high

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°