In the diagram, the measure of angle 5 is (10x -9), and the measure of angle 7 is (9x)". What is the measure of angle 6, to
the nearest degree?
What is the measure of angle 6, to the nearest degree?
81 degrees
90 degrees
99 degrees
105 degrees

Option C: 99° is the measure of angle 6

Explanation:

It is given that the measure of ∠5 is (10x-9)°

The measure of ∠7 is (9x)°

We need to determine the measure of ∠6

Since, from the diagram it is obvious that the angles 5 and 7 are vertical angles.

And, we know that the vertical angles are always equal.

Thus, we have,

Thus, the value of x is 9.

Substituting in ∠5 and ∠7, we have,

The measure of and

Since, from the diagram we can see that the angles 6 and 7 are in a straight line.

And the angles in the straight line add up to 180°

Thus, we have,

Thus, the measure of angle 6 is 99°

Therefore, Option C is the correct answer.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

the answer is true.

step-by-step explanation: