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3 years ago

What is the measurement of angle 1?

Mathematics

1 answer:

Andrei [34K]3 years ago

3 0

Answer:

Angle 1= 180 - 110 = 70 (straight angle)

Angle 2 = 180 - 115 =65 (straight angle)

Angle 3= angle 2 =65 (corresponding alternating angles)

Angle 4 =180 - angle3 = 180 - 65 = 115 (straight angle)

Angle 5 = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)

Angle 6 = angle 5= 45 ( interior alternating angles)

Angle 7 = angle 6= 45 (vertical opposite angles)

<h3> $hope \: this \: helps$ </h3>

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Sinxcosxtanx=1-cos^2x

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Step-by-step explanation:

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3 years ago

Write an expression for the calculation the difference of the products of 5 and 2 and 5 and 1

oee [108]

Let's review the terminology. A product is what you get when you multiply two numbers. So, the product of 5 and 2 is basically "5*2," and the product of 5 and 1 is "5*1."

The difference means when you subtract one from the other. So, the difference of 5*2 and 5*1 means "(5*2)-(5*1)". (Note: I put in parentheses to make sure the reader understands that 5*2 is separate from 5*1. 5*2-5*1 is confusing: you might not know what to do first!)

So, "(5*2)-(5*1)" can be your answer, OR you can simplify it further by actually doing the multiplication: "10-5". If you want the answer, just subtract--the expression is equal to 5.

Answer: "(5*2)-(5*1)" OR "10-5" OR "5"

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3 years ago

Fill in the table using this function rule. y=-2x +4

Anton [14]

Answer

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Step-by-step explanation:

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3 years ago

PLEASE HELP ME WITH THIS

Vedmedyk [2.9K]

Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$

$\sin A = \dfrac{11.8}{12}$

$\sin A = 0.98333$

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

$A = \sin^{-1} 0.98333$

$A = 79.5^\circ$

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.

           |\
     | \
     |    \
       |    \
opp = |    \ hyp = 12
= 11.8 |    \
     |       \
     |_______\ A

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3 years ago

Tom has some toy cars. 25 of them are red. He has 35 more green cars than red cars. The remaining 15 toy cars are yellow. Tom de

horrorfan [7]

Answer:

Step-by-step explanation:

red = 25

green = 25 + 35 = 60

yellow = 15

red = 25/5 = 5

green = 60/5 = 12

yellow = 15/5 = 3

Red + green = 5 + 12 = 17 boxes

yellow = 3 boxes

17 - 3 = 14 boxes

There are 14 more boxes of red and green cars than yellow cars.

8 0

3 years ago