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Oliga [24]
3 years ago
5

Find the perimeter of the figure shown above with a side length 5 units.(Each figure is a square). a. 10 units c. 30 units b. 20

units d. 40 units Please select the best answer from the choices provided A B C D

Mathematics
1 answer:
Leona [35]3 years ago
8 0
ANSWER

d. 40 units

EXPLANATION

Method 1

Perimeter is the total distance around the figure.


The perimeter is

= 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5

= 40 \: units


Method 2

The three squares together formed a rectangle with dimensions,

w = 5 \: and \: l = 15




Perimeter = 2w + 2l


Perimeter = 2(5) + 2(15)

Perimeter =10 + 30


Perimeter = 40 \: units


The correct answer is D.
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- 6

3x. = 42

÷3

x = 14 degrees

180-48 - 2y + 5y-9 =180

123 + 3y = 180

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3y = 57

÷3

y = 19 degrees

Explanation:

To find the last angle on the top straight line, do:

180 - (the 2 given angles).

So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.

(180 - 48 - 2y) & simplify => 132 - 2y

This gives you the equation for the missing angle on our top straight line.

Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.

Simplify

=> 123 + 3y (because - 2+5 =3)

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Hope this helps!

7 0
1 year ago
A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
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  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

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Therefore, the length of the diagonal is 15 feet

5 0
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Step-by-step explanation:

$2.60 multiplied by 7 equals $18.20

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Together this equals $31.80

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Answer:

B

Step-by-step explanation:

7 0
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