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3 years ago

Illustrate the <PAT and <LAB are vertical angle?

Mathematics

1 answer:

timama [110]3 years ago

8 0

Answer

1. Draw a diagonal straight line PT.

2.Draw an another straight diagonal line LB that intersect at a point.

3. Label that Point A.

Using Euclid Book 1 Proposition 15

If two straight lines cut one another, then they make the vertical angles equal to one another..

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Mac's age is 3 years less than twice Joe's age. The sum of their ages is 30. Find their ages.

k0ka [10]

Answer:

Mac is 19 years old, Joe is 11 years old

Step-by-step explanation:

2J - 3 = M

J + M = 30

M = 30 - J

2J - 3 = 30 - J

3J = 33

J = 11

M = 30 - 11

M = 19

4 0

3 years ago

A 42-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece

Karo-lina-s [1.5K]

Answer: 7 inches

Step-by-step explanation:

If x is the first piece, and the second piece is twice as long, then the second piece is 2x.

If the third piece is three times as long as the first piece, x, then the third piece is 3x.

The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.

42 = x + 2x + 3x

42 = 6x

7 = x

The first piece is 7 inches long.

Learn more about your question here: brainly.com/question/20320071

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2 years ago

Simplify: 3(4x – 2) + 9 + 2

kirill [66]

Answer:

-6x+5y+8

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3 years ago

Find the length of Cable 1. Find Cable 2 bridge span. Find Length of Cable 2

marysya [2.9K]

Use your knowledge of trig for this. you know the opposite length, 35, and you need to find the hypotenuse. the trig function to use would be SIN.
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3 years ago

A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

Jet001 [13]

Answer:

The mean for the sampling distribution of the sample proportion is 0.29

The standard deviation for the sampling distribution of the sample proportion is 0.01435

Step-by-step explanation:

The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29

The standard deviation for the sampling distribution of the sample proportion is calculated as;

$\sqrt{\frac{p(1-p)}{n} }$

Using the given values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation becomes;

$\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\$

The s.d becomes 0.01435

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3 years ago

Illustrate the <PAT and <LAB are vertical angle?​

Illustrate the <PAT and <LAB are vertical angle?