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jenyasd209 [6]
2 years ago
9

Which represents an exterior angle of triangle ABF? ∠BAD ∠AFE ∠CAD ∠CAB

Mathematics
1 answer:
Oxana [17]2 years ago
6 0

The angle that represents an exterior angle of the given triangle is: D. ∠CAB.

<h3>What is an Exterior Angle of a Triangle?</h3>

An exterior angle of a triangle is the angle that is located outside a triangle on an extended adjacent side of the triangle.

In the image given, and considering the options we have, ∠CAB is located outside a triangle ABF on an extended adjacent side CF of the triangle.

Therefore, the answer is: D. ∠CAB.

Learn more about the exterior angle of a triangle on:

brainly.com/question/17972372

#SPJ1

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If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!
4 0
3 years ago
If Gwen, Alex, and Manny are playing a game as a team .Gwen has a scored 2 times as many points as manny. Alex has scored 7 more
Marysya12 [62]

gwen- 15times 2

alex-15 plus 7

15 times 2 is 30

15 plus 7 is 22

30 plus 22= 52

52 plus 15= 67

6 0
3 years ago
Read 2 more answers
The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
Nana76 [90]

Answer:

<em>The numbers are 4 and 6</em>

<em />

Step-by-step explanation:

Let

x------>  be the first positive even integer

x+2---> be the second positive even integer

<em>we know that the solution is a positive value</em>

<em />

<u>The numbers are 4 and 6</u>

Hope this helps!

<em>stay safe</em>

3 0
3 years ago
Four friends are sharing 7 pizzas equally.<br><br> How much pizza will each person get?
garik1379 [7]

Answer:

1.75 or 1 3/4 pieces of pizza per person

Step-by-step explanation:

Hi,

Divide 4 by 7 and you get...

1 3/4 or 1.75

I hope this helps :)

3 0
3 years ago
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Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bag
IceJOKER [234]

Answer:

one bag of popcorn costs - 5

Step-by-step explanation:

3 0
3 years ago
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