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natta225 [31]
3 years ago
5

Kaia's window is in the shape of a trapezoid. Three of the angles are 80°, 100°, and 109°. What is the measure of the fourth ang

le?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

71°

Step-by-step explanation:

Kaia's window is in the shape of a trapezoid. Three of the angles are 80°, 100°, and 109°. What is the measure of the fourth angle?

The sum of angles in a trapezoid is equal to = 360°

We are given 3 angles in the trapezoid as: 80°, 100°, and 109°.

The measure of the fourth angle is calculated as:

360° = 80°+ 100° +109° + fourth angle

360° - (80°+ 100° +109°)

360° - 289°

= 71°

The measure of the fourth angle is 71°

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Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map
Drupady [299]

Answer:

The perimeter is 14 units

<em></em>

Step-by-step explanation:

Given

A = (-2,2)

B = (1,2)

C = (1,-2)

D = (-2,-2)

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For AB

A = (-2,2) --- (x_1,y_1)

B = (1,2) --- (x_2,y_2)

AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3

For BC

B = (1,2) --- (x_1,y_1)

C = (1,-2) --- (x_2,y_2)

BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4

For CD

C = (1,-2) --- (x_1,y_1)

D = (-2,-2) --- (x_2,y_2)

CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3

For DA

D = (-2,-2) --- (x_1,y_1)

A = (-2,2)  --- (x_2,y_2)

DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4

So, the perimeter (P) is:

P = AB + BC + CD + DA

P = 3 +4 + 3 + 4

P = 14

<em>The perimeter is 14 units</em>

5 0
3 years ago
The area of a rectangle is 96 sqaured meters with the width of 8 meters. Write an equation to find the length of the rectangle.
posledela

Answer:

The length is 12 meters

Step-by-step explanation:

A=L×W

96=L×8

96/8=12

3 0
3 years ago
What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
SVEN [57.7K]

Answer:

i will help in a bit

Step-by-step explanation:

7 0
4 years ago
Without using a calculator, choose the statement that best describes the value of the square root of 46
allochka39001 [22]

Answer:

The value of √46 is between 6.5 and 7.

Step-by-step explanation:

We can use perfect squares to solve this problem.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.

So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.

√36 = 6

√46 = ?

√49 = 7

Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.

4 0
3 years ago
PLEASE ANSWER ASAP! YOUR ANSWER MUST CONTAIN AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER!!! THANKS!!!
MakcuM [25]
Hello,

That 's not my cup of "coffee".

G=-2+1/1200 * 100 +5/1200 * 20=-11/6=-1.833333....

Answer C loss $1.83
4 0
3 years ago
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