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3 years ago

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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Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that t

liberstina [14]

Answer:

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

6 0

3 years ago

Your parents decide they would like to install a rectangular swimming pool in the backyard. There is a 15-foot by 20-foot rectan

Lilit [14]

Answer:

perimeter: 46 ft
area: 126 ft²

Step-by-step explanation:

Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.

The perimeter of the pool is the sum of its side lengths:

P = 9 ft + 14 ft + 9 ft + 14 ft = 2(9 ft +14 ft) = 2(23 ft)

P = 46 ft

The area of the pool is the product of its length and width:

A = (14 ft)(9 ft) = 126 ft²

The perimeter and area are 46 ft and 126 ft², respectively.

5 0

3 years ago

I have 3 times as much money as my brother. Our total is $24. How much does each of us have?I have 3 times as much money as my b

musickatia [10]

Answer:

Brother's money = $6

Money I have = $18

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

I have 3 times as much money as my brother:

Money I have = 3x

Where x is the money that my brother has:

Brother's money = x

Our total is $24

So, 3x+x =24

Solving for x

3x+x=24

4x =24

x =24/4

x = 6

Replacing with the value of x.

Brother’s money = x = $6

Money i have = 3x =3(6) = $18

6 0

3 years ago

Carlos’s family had breakfast at one restaurant and dinner at another restaurant while on vacation. The service during breakfast

OleMash [197]

To solve part a, do the following.
49.84-44.50=5.34
5.34/44.50=x/100
after solving the proportion, x would be equal to 12.
To solve part b, do the following.
50+12=62
To solve part c, do the following.
The amount of the tip is:
x/57.50=62/100
which is 35.65
The total bill is:
35.65+57.50=93.15

8 0

3 years ago

What is 8 3/5 + 4 4/5?

dangina [55]

Answer:

67/5 = 13 2/5

Step-by-step explanation:

Step 1: Define/explain.

An easier way to solve this is by changing the mixed fractions to improper fractions.

To do this, multiply the whole number by the denominator, then add the product to the numerator; the denominator remains the same.

Mixed fraction - a fraction with a whole number.

Improper fraction - a fraction with a numerator larger than the denominator.

Step 2: Solve.

$8\frac{3}{5} =\frac{43}{5}$

$4\frac{4}{5} =\frac{24}{5}$

From here, add as usual.

$\frac{43}{5} +\frac{24}{5} =\frac{67}{5}$

Step 3: Conclude.

You can change the improper fraction to a mixed fraction if you'd like.

To do this, divide the numerator by the denominator.

The amount of times the numerator evenly goes into the denominator is the whole number.

The amount of remaining numbers in the denominator.

The numerator remains the same.

$\frac{67}{5} =13\frac{2}{5}$

I, therefore, believe the answer to this is 13 2/5.

5 0

3 years ago