MATHEMATICS HIGH SCHOOL

The angles below form a linear pair.
What is the measure of angle ABC?
eburgesswilliams avatar

Answers

Answer 1
Answer:

The measure of angle ABC from the given figure is 132 degree.

Given that, ∠CBD is 48°.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Here, ∠ABC+∠CBD=180°

∠ABC+48°=180°

∠ABC=180°-48°

∠ABC=132°

Therefore, the measure of angle ABC from the given figure is 132 degree.

Learn more about the linear pair here:

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Find an equation for the family of linear functions with slope 2 and sketch several members of the family

Answers

 f(x)=2x+b. the general eqtn is y=2x+b where b can be +ve or -ve. If you draw y = 2x, you get a line of slope 2, passing through the origin. The line y = 2x+3 is parallel to y = 2x, and cuts the y-axis at y = 3. Similarly, the line y = 2x-1 is parallel to y = 2x, and cuts the y-axis at y = -1. You do not need any points to sketch them on our graph: the lines you draw must just be parallel to y = 2x

First to answer gets brainliest!!

Answers

Answer:

its B

Step-by-step explanation:
It b


Because I’m smart like that

4 x (22+5)
Simplify the expression.

Answers

Answer:

the simplified expression is 108x

Step-by-step explanation:

4x(22+5)

you can remove the parenthesis by multiplying 4x by everything inside of them.

4x * 22 + 4x * 5

88x + 20x

108x

AEFGH is a rhombus. Given EG = 22 and FH = 20, what is the length of one side of the rhombus?
Please help :/

Answers

Applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

Recall:

  • The diagonals of a rhombus bisect each other at right angles, thereby forming 4 right triangles.
  • Half of a diagonal and half of the other diagonal make up a right triangle.

Thus, given:

  • EG = 22 (diagonal)
  • FH = 20 (diagonal).

Find the length of one side using Pythagorean theorem as shown below:

HG = \sqrt{((1)/(2)EG)^2 + ((1)/(2)FH)^2 } \n\n

  • Substitute

HG = \sqrt{((1)/(2) * 22)^2 + ((1)/(2) * 20)^2 } \n\nHG = √(11^2 + 10^2) \n\n\mathbf{HG = 14.9}

Therefore, applying the properties of a rhombus and the Pythagorean Theorem, the length of one side of the rhombus is: 14.9

Learn more here:

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The sum of the measures of angle 4,7, and _____ is equal to 180

Answers

7 I think because if you would put a zero behind the 4 and 7 and add them together it will be 110 and all that's left if u subtract them from 180 is 70 (7)

A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches

94.4π square inches
32π square inches
30.1π square inches
62.4π square inches

Answers

The label on the soup can has area of 62.4π square inches. The Option D is correct.

What is the area of the label on the soup can?

The label is represented by the rectangle in the figure.

The height of rectangle is given as 7.8 inches. The length is equal to the circumference of the circular base of the cylinder.

The circumference of a circle is: 2πr

In this case, the radius of each circle is 4 inches. So, the circumference of each circle is:

= 2π(4)

= 8π

As length of rectangle represents circumference, its length is equal to 8π inches. The height of rectangle is given as 7.8 inches.

We will calculate the area of the rectangle:

Area = Length × Height

Area = (8π) × 7.8

Area = 62.4π.

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