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3 years ago

An angle measures 90º more than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

2 answers:

masha68 [24]3 years ago

8 0

Answer:

theyre both 90 degrees because supplementary angles always add up to 180

lord [1]3 years ago

6 0

Is the a shape. I assume the 90 degree angle is a right angle and the others are also 90

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gogolik [260]

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3 years ago

The length of a rectangle is 2x+1 and the width is 4x-3. Write an expression to calculate the area. (Note: Area= length • width)

maw [93]

(4x-3)(2x+1) expand the brackets: 8x^2 -2x -3 = area

7 0

3 years ago

A square pyramid is shown sitting on its base.

allochka39001 [22]

Answer:

Area of Pyramid = 384 cm²

Step-by-step explanation:

Given

Shape: Square Pyramid

Base: 12 cm

Height: 10 cm

Required

The Surface area.

The surface area of the pyramid is calculated by

1. Calculating the area of the base square

2. Calculating the area of the triangles

3. Adding (1) and (2) above

Having highlighted these points,

Step 1: First we calculate the area of the base square

The dimension of the square is 12cm x 12cm

Let L represent the length of the square (L = 12 cm)

So, Area = L * L

Area = 12 cm * 12 cm

Area = 144 cm²

Step 2: There are four triangles in the above pyramid (because the base is a square; and a square has four sides)

The dimension of each triangle is

Base: 12 cm

Height: 10 cm

First, we calculate the area of one triangle

Area = 0.5 * base * height

Area = 0.5 * 12 cm * 10 cm

Area = 60 cm²

If the area of 1 triangle is 60 cm², the area of 4 triangles would be

Area = 4 * 60 cm²

Area = 240 cm²

Step 3: Adding (1) and (2) above

Area of Pyramid = Area of base square + Area of triangles

Area of Pyramid = 144 cm² + 240 cm²

Area of Pyramid = 384 cm²

Hence, the surface area of the pyramid is 384 cm²

5 0

3 years ago

Which expression is equivalent to -0.6(1.2x + 4.5) - 3(2.8x - 4)?

Citrus2011 [14]

A. -9.2x + 9.3

1. Distribute -0.6 and -3 to the brackets (by multiplying )
2. Put together the "like terms"
3. Add all together

8 0

3 years ago

A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

Marianna [84]

Answer: $y=\frac{1}{3}x+3$

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

$m=\frac{1}{3}$

Substitute the point (3,4) into the equation and solve for b:

$4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3$

Then the equation of this line is:

$y=\frac{1}{3}x+3$

3 0

3 years ago

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