The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
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Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
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Answer:
<h2>Question 13 : x = 62°</h2>
<h2>Question 14 : x = 2</h2>
Step-by-step explanation:
Question 13
The diagram in question 13 is a triangle.
The sum of interior angles of a triangle is equal to 180°
To solve for x ;

Question 14
(: represents ratio or /)
x/9 = 18/81
Cross Multiply
81x = 18×9
81x = 162
Divide both sides of the equation by 81
81x/81 = 162/81
x = 2
Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46
Answer:
$460
Step-by-step explanation:
Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.
Answer:
I came up with -12
Step-by-step explanation:
8 workers = 6 days to complete
x workers = 4 days faster to complete
6/4=1.5 days faster
1.5 x 8 = 12 workers needed to complete the wall in fours days