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andrezito [222]

4 years ago

15

Allie wants to take dance lessons. It costs $50 to rent the studio and $20 per lesson. If Allie has $130 for dance lessons. Up t

o how many lessons will Allie be able to take with the amount of money, she has budgeted for dance lessons. (WRITE An INEQUALITY)

1 answer:

ludmilkaskok [199]4 years ago

7 0

She would have 6 or 7 lessons 130 divided by 20 = 6.5

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Somebody help me with this

Alchen [17]

<u>Given</u>:

Given that the quadrilateral ABCD is inscribed in the circle.

The measure of ∠A is (14z - 7)°

The measure of ∠C is (8z)°

The measure of ∠D is (10z)°

We need to determine the measures of ∠A, ∠B, ∠C and ∠D

<u>Value of z:</u>

We know the property that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

Thus, we have;

$\angle A+ \angle C=180^{\circ}$

Substituting the values, we have;

$14z-7+8z=180$

$22z-7=180$

$22z=187$

$z=8.5$

Thus, the value of z is 8.5

<u>Measure of ∠A:</u>

The measure of ∠A can be determined by substituting the value of z.

Thus, we have;

$\angle A=14(8.5)-7$

$\angle A=119-7$

$\angle A=112^{\circ}$

Thus, the measure of ∠A is 112°

<u>Measure of ∠C:</u>

The measure of ∠C can be determined by substituting the value of z.

Thus, we have;

$\angle C=8(8.5)$

$\angle C =68^{\circ}$

Thus, the measure of ∠C is 68°

<u>Measure of ∠D:</u>

The measure of ∠D can be determined by substituting the value of z.

Thus, we have;

$\angle D=10(8.5)$

$\angle D=85^{\circ}$

Thus, the measure of ∠D is 85°

<u>Measure of ∠B:</u>

The angles B and D are supplementary.

Thus, we have;

$\angle B+ \angle D=180^{\circ}$

Substituting the values, we get;

$\angle B+ 85^{\circ}=180^{\circ}$

$\angle B=95^{\circ}$

Thus, the measure of ∠B is 95°

8 0

4 years ago

Read 2 more answers

What 65 percent of 89

Pie

65% of 89

65/100 = .65

.65 * 89 = 57.85

Answer: 57.85

5 0

3 years ago

Read 2 more answers

Water flows down the Mississippi River at about 1.2 miles per hour

Angelina_Jolie [31]

Answer:

Continuous

Step-by-step explanation:

The rate of flow of water down the river is referred to as its speed. Thus the speed changes with respect to the distance covered. Which implies that there is a direct relationship between the distance covered (in miles) by the water flow and time taken (in hours).

The relationship between hours and miles the water traveled is continuous.

6 0

3 years ago

One section in the auditorium has 59 rows

diamong [38]

2,242
Because if there are 59 rows of seats in that section and 38 seats in each row you would do 59x38

8 0

3 years ago

The depths of two scuba divers exploring a living coral reef are shown. a. Write an integer for the position of each diver relat

kykrilka [37]

Answer:

a: left = 14 feet

right = 18 feet

b: 18 is significant

c: absolute value is 18

Step-by-step explanation:

a)

The position of the diver on the left relative to the sea level is 14 feet.

The position of a diver on the right to sea level is 18 feet.

b)

integer 18 in part (a) is more significant.

c)

Absolute value is the distance and the zero on the number line.

Absolute value of |18| = 18

Absolute value of |14| = 14

Hence the most excellent absolute value is 18.

6 0

4 years ago