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3 years ago

Find the area of the shaded figure.

Mathematics

2 answers:

GREYUIT [131]3 years ago

5 0

Sixty-eight square units

kramer3 years ago

3 0

Answer:

58 square units

Step-by-step explanation:

We need to find the area of the shaded figure

Lets break the figure into three parts

Top part of the figure is a rectangle

ARea of the rectangle = length times width

Length of the rectangle is 10 units and width is 5 units

Area of the top rectangle = $10 \cdot 5= 50$ square units

We have two square at the bottom of the figure

side length of the square is 2 units

Area of the square = $side^2= 2^2= 4$

Area of shaded figure = area of rectangle + area of square + area of square

= $50+4+4= 58$ square units

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3 years ago

If m<ECD is six less than five times m<BCE. and m<BCD = 162°, find each measure.(Sorry bout using the wrong signs, but

tia_tia [17]

Answer:

m∠BCE = 28° and m∠ECD = 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD

- m∠ECD is six less than five times m∠BCE

- That means when we multiply measure of angle BCE by five and

then subtract six from this product the answer will be the measure

of angle ECD

∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)

∵ m∠BCD = m∠BCE + m∠ECD

∵ m∠BCD = 162°

∴ m∠BCE + m∠ECD = 162 ⇒ (2)

- Substitute equation (1) in equation (2) to replace angle ECD by

angle BCE

∴ m∠BCE + (5 m∠BCE - 6) = 162

- Add the like terms

∴ 6 m∠BCE - 6 = 162

- Add 6 to both sides

∴ 6 m∠BCE = 168

- Divide both sides by 6

∴ m∠BCE = 28°

- Substitute the measure of angle BCE in equation (1) to find the

measure of angle ECD

∵ m∠ECD = 5 m∠BCE - 6

∵ m∠BCE = 28°

∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°

* m∠BCE = 28° and m∠ECD = 134°

3 0

3 years ago

Read 2 more answers

Mike bought 2 3/4 pounds of riceHe wants to distribute it among bins that each hold 1/3 pound of rice. How many bins can he comp

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Answer:

8 bins filled completely; remaining rice fills ⅓ bin.

Step-by-step explanation:

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3 years ago

What is the value of x?

solniwko [45]

Answer:

x = 7.5

Step-by-step explanation:

Since we see that sides AD and DC are equal, as well as sides BE and EC, we can use this information to conclude that the value of 2x-7 is equal to double the value of DE.

2x - 7 = 4(2)

2x - 7 = 8

2x - 7 + 7 = 8 + 7

2x = 15

x = 7.5

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3 years ago

Name two points on a line that has a slope of 5 over 8.

GREYUIT [131]

Y=mx+b ....formula of slope

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3 years ago