Answer:
m∠8 = 49°
Step-by-step explanation:
∠7 and ∠8 are same-side interior angles.
Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.
Let's use the variable 'x' to represent the unknown measure of angle ∠8.

(cancels itself out)


Therefore, the measure of ∠8 is 49°.
The interval notation for numbers greater than 2 but less than or equal to 20 is (2,20]
10,000 - (1/2 x 10,000) - (1/4 x 10,000) - (1/10 x 10,000) = 10,000 - 5,000 - 2,500 - 1,000 = 1,500
$1,500 is being spent on staffing for the party.
We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.
Let us assume t=0 corresponds to year 1980.
Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).
We can to find a linear function passing through these points. Let us first find slope of the linear function:

We can write the required linear function as:

Upon simplifying this, we get:

In order to find per capita consumption in 1995, we need to substitute t=15 in this function.

Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.
Answer:
45:36 is the answer.
Step-by-step explanation:
Divide 81 by sum of ratio.
81/(5+4)=81/9=9
So,
5×9 : 4×9
45 : 36
Check: 45+36=91