Given that the triangle is dilated by factor 3, the image will be found as follows;
The object is at:
A(-7,-3), B(-3,-2), C(-4,-5)
when the image was enlarged the new coordinates will be:
A'=3(-7,-3)=(-21,-9)
B'=3(-3,-2)=(-9,-6)
C'=3(-4,-5)=(-12,-15)
since the image is centered at the point (-7,-6), the final point will be at:
A"=[(-21+-7),(-9+-6)=(-28,-15)
B''=[(-9+-7),(-6+-6)]=(-16,-12)
C''=[(-12+-7),(-15+-6)]=(-19,-17)
thus the coordinates of the final image are:
A''(-28,-15),B''(-16,-12),C''(-19,-17)
9514 1404 393
Answer:
(a) 15
Step-by-step explanation:
Each of the marked angles is an exterior angle of the polygon. The sum of exterior angles is always 360°. We can use that fact to write the equation.
4x° +77° +59° +6x° +74° = 360° . . . . . an equation to find x
10x + 210 = 360 . . . . . . . . . . . . . . divide by °, collect terms
x + 21 = 36 . . . . . . . . . . . . . . . divide by 10
x = 15 . . . . . . . . . . . . . . . subtract 21
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<em>Comment on the sum of exterior angles</em>
Imagine the figure shrunk smaller and smaller until all of the angle vertices are the same point. You can see that those angles will completely fill the angular space around that central point, so they must have a sum of 360°.
If the expression is kept in its original form, you would add 10 and 4.8 together to get 14.8 and then add 90 to receive an answer of 104.8. With the reworked expression, you add 90 and 10 first to get 100 and then add 4.8 to receive 104.8.
Answer:
x=-2
Step-by-step explanation:
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
3
x
+
2
(
2
x
−
1
)
=
2
(
x
−
6
)
Simplify the left side.
7
x
−
2
=
2
(
x
−
6
)
Simplify
2
(
x
−
6
)
.
7
x
−
2
=
2
x
−
12
Move all terms containing x to the left side of the equation.
5
x
−
2
=
−
12
Move all terms not containing x to the right side of the equation.
5
x
=
−
10
Divide each term by 5 and simplify.
x
=
−
2
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