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sleet_krkn [62]
3 years ago
15

How do I do this Q11

Mathematics
1 answer:
SashulF [63]3 years ago
5 0
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.

All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.

Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
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Plz help ASAP and good explanation thank you
PilotLPTM [1.2K]
10 + 43 - 5 = 48

5^2 = 25

48/6 = 7

7 + 25 = 32

Answer 32
3 0
3 years ago
a traveling salesman drives his car 30000 miles a year. His car travels 16 miles to the gallon of gas. How many gallons of gas d
DENIUS [597]

Answer:

187.5 gallons

Step-by-step explanation:

Make a proportion

\frac{16 miles}{1 gallon} = \frac{3000 miles}{x}

3000/16 = 187.5, so multiply 1 by 187.5 to find the gallons used in a year

This gets you 187.5 gallons used in a year

4 0
3 years ago
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Solve for x<br> x^2 - 7x + 10 = 0​
Artist 52 [7]

Answer:

Step-by-step explanation:

x²-7x+10=0

(x-2)(x-5)=0

x=2 or x=5

8 0
3 years ago
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Choose all lengths that are equal to<br> 6 feet 12 inches.
Mumz [18]

Answer:

Can you show a picture? Or like tell us the options?

7 0
3 years ago
A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a
Ludmilka [50]

The quantity of each type of seats sold are as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

  • 20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

  • Standard viewing = 2000

  • 3D seats = 800

  • Movie and a dinner seat = 200

Read more:

brainly.com/question/12413726

5 0
3 years ago
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