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Serjik [45]
2 years ago
13

The drawing below is of a regular pentagon. The measure for each interior angle in a regular pentagon is 108°. Angle A is supple

mentary to an interior angle of the pentagon. How many degrees is angle A​

Mathematics
1 answer:
myrzilka [38]2 years ago
6 0

Answer:

  • 72°

Step-by-step explanation:

<u>The interior and exterior angles are supplementary:</u>

  • A + 108° = 180°
  • A = 180° - 108°
  • A = 72°
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Write the linear inequality shown in the graph.
Korolek [52]
Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format. 
Y=mx+b
y\geq 3x-4. <-----In this equation, the slope(m)=3 b= -4. 

On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.


The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.  
For example, I'll choose to plug in (-4,4) into the y\geq 3x-4. 
y\geq 3x-4. 
(4)\geq (3(-4))-4. 
(4)\geq (-12)-4. 
(4)\geq -16

So, this statement is true becasue -16 is less than positive 4.  Therefore, the correct answer would be y\geq 3x-4. Hope that helped! Comment back with any further questions!


6 0
3 years ago
A pizza is divided into 12 pieces. Glenn and Sophie each ate 1/4 of the pizza on Thursday. The next day Sophie ate 1/3 of the pi
Natali5045456 [20]

Answer:

6 slices

Step-by-step explanation:

The full pizza is 12 pieces.  Divide 12 by 4 to find out how much she ate on Thursday.   1/4 of 12 is 3 so she ate 3 slices on Thursday.  Subtract 3 from 12 to find out how much was left for the next day.  There were 9 slices the next day.  Next, divide 9 by 3 to find out what 1/3 of 9 is.  1/3 of 9 is 3 so subtract 3 from the 9 slices.  6 slices are the original pizza remain.

3 0
3 years ago
A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per
svetoff [14.1K]

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This  is done by dividing total distance by number of miles per gallon

Van = \frac{2500}{12} \ gallon

Sedan = \frac{2500}{36}\ gallon

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

Van = \frac{2500}{12} * \$2.50

Van = \frac{\$6250}{12}

Van = \$520.833

Sedan = \frac{2500}{36}* \$2.50

Sedan = \frac{\$6250}{36}

Sedan = \$173.611

Next is to get the difference between these amounts

Difference = \$520.833 - \$173.611

Difference = \$347.222

Multiply by 100 to convert to cents

Difference = 347.222 * 100 cents

Difference = 34722.2 \ cents

Difference = 34722\ cents (Approximated)

Hence;

<em>The family will pay 34722 cents more if they take the van</em>

8 0
3 years ago
I need someone to do this for me in STANDERD ALGORITHM ONLY ok here's the question: 2.1x82
statuscvo [17]
172.2 it correct because u have use you brain and u will get the answer u have to try first  and put your mind to it when u do that then u will be able to do anything 
5 0
3 years ago
What are the x- and y coordinates of point P on the directed
Alex17521 [72]

Answer:

(-4, -5)

Step-by-step explanation:

4 0
4 years ago
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