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2 years ago

The sum of remote interior angels equals what?

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

6 0

Answer:

Each of the remote angles shares one side with the angle adjacent to the exterior angle. The equation means that the sum of measures of the remote interior angles is equal to the measure of the exterior angle of the triangle.

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ake and Nico both measured their thumbs. Jake’s thumb is 55 millimeters long. Nico’s thumb is 5.7 centimeters long. Who has the

qaws [65]

Answer:

Nico

Step-by-step explanation:

We have to convert both to the same units! Think about the units: we have millimeters and centimeters. There are 10 millimeters in a centimeter, so

55 mm = 5.5 cm

We just had to move the decimal point!

Now compare the two measurements in cm. 5.5 and 5.7: which is greater? Look at the tenths place: 5<7, so 5.7 is greater and Nico’s thumb is longer!

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2 years ago

A 6-foot tall man casts a shadow that is 12 feet long. What is the measure of the sun's angle of elevation? Enter your answer, r

Masteriza [31]

Answer:

$27^{\circ}$

Step-by-step explanation:

Let x represent the sun's angle of elevation.

We have been given that a 6-foot tall man casts a shadow that is 12 feet long.

Upon looking at our attachment we can see that man and his shadow forma a right triangle with respect to ground, where height of man is opposite side and his shadow is adjacent side.

Since tangent relates opposite side of a right triangle with adjacent, so we can set an equation as:

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(x)=\frac{6}{12}$

$\text{tan}(x)=\frac{1}{2}$

Using arctan we will get,

$x=\text{tan}^{-1}(\frac{1}{2})$

$x=26.565051177078^{\circ}\approx 27^{\circ}$

Therefore, the measure of the sun's angle of elevation is 27 degrees.

3 0

3 years ago

Write the equation of the line which passes through the points (-2,6) and (3, 1).

belka [17]

Answer:

y = - x + 4

Step-by-step explanation:

gradient = change in y/change in x

1-6/3--2= -5/5 = -1

y= -x + c

1=-3+c

c=4

equation of line =

y= -x + 4

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3 years ago

Please help me in part a and b

UkoKoshka [18]

Part A: 47 x 38 + 47 x 62. You have to do your order of operations first. 47 x 38 is 1786. 47 x 62 is 2914. 2914 + 1786 is 4700, your answer.

Part B: 752 + (467+248) = 752 + (715)=1467.

8 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ankoles [38]

Answer:

○ B. $y = 4x$

Step-by-step explanation:

Starting from the origin, you do $\frac{rise}{run}$ by moving four blocks north over one block east [west and south are negatives].

* 4 blocks = 1 unit

I am joyous to assist you anytime.

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3 years ago

The sum of remote interior angels equals what?​

The sum of remote interior angels equals what?