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kondaur [170]
3 years ago
5

I’m revising a test, can someone please help me?

Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

142°

Step-by-step explanation:

Sum of interior angles of a polygon= (n -2) ×180°, where n is the number of sides of the polygon

Since this polygon has 5 sides, n= 5.

Sum of interior angles

= (5 -2) ×180°

= 3 ×180°

= 540°

Sum of interior angles= 540°

5x +8+5x +10 +6x +15 +7x +2 +2x +5= 540

Grouping like terms together:

5x +5x +6x +7x +2x +8 +10 +15 +2 +5= 540

Simplify:

25x +40= 540

Bringing all constants to one side of the equation:

25x= 540 -40

25x= 500

Divide both sides by 25:

x= 500 ÷25

x= 20

The angle (7x +2)° is the largest interior angle in this polygon.

7x +2

= 7(20) +2

= 142

Thus, the largest interior angle is 142°.

<u>Check</u><u>:</u>

5x +8= 5(20) +8= 108

5x +10= 5(20) +10= 110

6x +15= 6(20) +15= 135

2x +5= 2(20) +5= 45

The other interior angles are 108°, 110°, 135° and 45°. Hence 142° is the largest interior angle in this polygon.

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Firdavs [7]

Answer:

B. The amount spent on grapes compared with the weight of the purchase.

Step-by-step explanation:

A: The shoe size of a young girl compared with her age in years. For the first few years of a girl's life, her shoe size is relatively the same. When she goes through a growth spurt, her shoe size increases exponentially. So, that is not a constant rate of change.

B: The amount spent on grapes compared with the weight of the purchase. In most grocery stores, grapes are sold based on their weight, like $2.50 per pound. With each increase in 1 pound, the cost increases by $2.50. That is a constant rate of change.

C: The number of people on a city bus compared with the time of day. This value widely changes throughout the day. For example, during rush hour, there will be many people. But during times at, say, 2 to 3 AM, there will not be many people. So, this is not a constant rate of change.

D: The number of slices in a pizza compared with the time it takes to deliver it. The number of slices in a pizza never changes, so it does not depend on the time it takes to deliver. There is no rate of change.

So, B is your answer.

Hope this helps!

3 0
3 years ago
Which of the quadratic functions has the narrowest graph?
Nuetrik [128]
<h3>Answer: Choice A) y = -10x^2</h3>

Explanation:

The equation y = ax^2+bx+c has the value of 'a' determine how wide or narrow the graph is. The closer 'a' is to zero, then the wider it gets; while the further 'a' is from 0, the narrower it gets.

What we need to do is look for equations in which the 'a' value is furthest from 0. In this case, it's with y = -10x^2 since a = -10 is furthest from zero compared to a = -0.9 and a = 9. Set up a number line to help see this. You can also use absolute values to get the job as well.

Therefore, y = -10x^2 has the most narrowest graph.

3 0
3 years ago
Someone please answer this!!!
Anni [7]

Answer:

1. 2 eggs 2. 53 mph 3. $8 per hour 4. 1 \frac{3}{4} gal per hour

Step-by-step explanation:

1. There are 4 eggs used in 2 batches. For one batch, you divide 4 eggs by 2 batches to get 2 eggs for each batch.

2. There are 265 miles in total, so to get the average speed each hour, you divide the total by 5 hours to get 53 miles per hour.

3. In 7 hours, he got $56. Divide 56 by 7 to get the pay each hour, which would be $8 per hour.

4. In a half hour, the swimming pool has leaked a certain amount of water. Double that to get how many gallons per hour. \frac{7}{8} * 2= 1 \frac{3}{4} gallons per hour.

8 0
3 years ago
Scott is driving to visit family. After 3 hours of driving, Scott traveled 180 miles. After driving for 5 hours at the same rate
blondinia [14]

Answer:

3X=180    and   or   5X=300

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Step-by-step explanation:

Not the best but hoped it helped

8 0
3 years ago
How does the area of triangle RST compare to the area of triangle LMN?
RUDIKE [14]

Answer:

The answer is the letter B or The area of △RST is equal to the area of △LMN.

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
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