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3 years ago

△QRS is rotated about point P to △Q′R′S′ .

Mathematics

1 answer:

Sedbober [7]3 years ago

4 0

Answer:

As Given △QRS is rotated about point P to △Q′R′S′ .

As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.

Out of the options given

→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.

→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.

are true.

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Find the area of each figure. Pls, this is urgent, I will award brainliest.

Crazy boy [7]

Answer:

The area of the figure is;

A = 2,112 in²

Step-by-step explanation:

The given figure is a composite figure consisting of a rectangle AINE and a triangle AIL

The dimensions of the rectangle AINE are;

Length, L = 48 in.

Height, h = 32 in.

The area of the rectangle AINE, A₁ = Length, L × Height, h

∴ A = L × h = 48 in. × 32 in. = 1,536 in.²

The area of the triangle AIL, A₂ = 1/2 × Base × Height of the triangle

The base length of the triangle, L = IA = 48 in.

The height of the triangle, ht = 12 in.

∴ A₂ = L × ht

A₂ = 48 in. × 12 in. = 576 in.²

The area of the triangle AIL, A₂ = 576 in.²

The area of the figure, A = The area of the rectangle, A₁ + The area of the triangle, A₂

A = A₁ + A₂

∴ A = 1,536 in.² + 576 in.² = 2,112 in.²

The area of the figure, A = 2,112 in².

4 0

3 years ago

Part A: Describe how you can decompose this shape into triangles. (2 points)

kvv77 [185]

Answer:

A: 6 triangles with height 10.4 inches each and base 12 inche

B: 62.4 square inches

C: 374.4 square inches

Step-by-step explanation:

Part A: You can form a triangle by connecting E to the top of the segment and connecting the top of the segment to D. Recreating this with each section will create 6 triangles with height 10.4 inches each and base 12 inches.

Part B: The area of a triangle is A = 1/2b*h. Substitute h = 10.4 and b = 12.

A = 1/2*10.4*12 = 62.4

Part C: There are 6 triangles each with area 62.4. So the area of the whole figure will be 6*62.4 = 374.4.

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3 years ago

Solve the equation using the distributive property and properties of equality. 1/2(x+6)=18 What is the value of x?

fgiga [73]

If what you mean is what does x equal then X=30

3 0

3 years ago

Read 2 more answers

Explain why the graph below does not represent a direct variation. a. the line does not intercept the x-axis c. the line does no

Rama09 [41]

The graph is not a direct variation because the line does not go through the origin; option C.

<h3>What is a direct variation?</h3>

A direct variation is a relationship between two or more quantities in which as one quantity increases, the other quantity also increases. Similarly, if the other quantity decreases, the other decreases as well.

For the graph of a direct variation, the line must pass through the origin.

Therefore, the graph does not represent a direct variation because the line does not go through the origin.

In conclusion, direct variation involves a corresponding increase or decrease in two related quantities.

Learn more about direct variation at: brainly.com/question/2633726

#SPJ1

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2 years ago

A bakery uses 8 table spoons of honey for every 10 cups of flour to make bread dough some days they bake bigger batches and some

Arada [10]

Answer:

The ratio would be, 4 tablespoons of honey: 5 cups of flour

Step-by-step explanation:

4/5 is the simplified version of 8/10, which is what we were first given

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2 years ago