We have to construct a triangle DEF with EF = 7 cm. It is given that we have to make an angle of 50⁰ at E and at F.
Steps to make a triangle DEF:
Step 1: Draw a line segment EF equal to 7 cm, using a ruler.
Step 2: Put the center of the protractor on the one end of the line segment that is at E and make the given angle that is 50⁰.
Step 3: Make the angle of 50⁰ at F by using protractor.
Step 4: Extend the line from E and F in the direction of 50⁰. After extending the line segments, we get an intersection point, name that point D..
Step 5: The point D, is made from the intersection of the line segment from E and F.
Step 6: Hence, triangle DEF is constructed.
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Answer:
<em>There were 8 correct answers and 2 incorrect answers.</em>
Step-by-step explanation:
The contest consists of paying $50 for each correctly answered question and subtracting $25 for each incorrectly answered question.
Let's call:
x = Number of correct answers
y = Number of incorrect answers
The resident from a dormitory answered 10 questions last week. This leads to the following condition:
![x + y = 10\qquad\qquad [1]](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2010%5Cqquad%5Cqquad%20%5B1%5D)
Since each correct answer adds $50 and each incorrect answer subtracts $25, the weekly balance is
50x - 25y
The contestant earned $350, thus:
50x - 25y = 350
Dividing by 25:
2x - y = 14
Adding this equation with [1]:
x + 2x = 24
Simplifying:
3x = 24
x = 24 / 3
x = 8
From [1]:
y = 10 - x = 10 - 8
y = 2
There were 8 correct answers and 2 incorrect answers.
the correct answer is option C.
hope this was helpful..:-)
Dilation involves changing the size of a figure
The endpoints of the image are (0,3) and (8,3)
<h3>How to determine the coordinates of the image</h3>
The coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (4,1)
The coordinates of the image are then calculated as:
(x,y) = (k(x -a) + a, k(y -b) + b)
For (2,2), we have:


For (6,2), we have:


Hence, the endpoints of the image are (0,3) and (8,3)
Read more about dilation at:
brainly.com/question/3457976
Answer:
0 ÷ 3 = 0
Step-by-step explanation:
if x = 0 you put it in where the x is