Answer:
y - 8 = (3/2)(x + 4)
Step-by-step explanation:
As we move from (-4, 8) to (2, -1), x increases by 6 (this is the run) and y decreases by 9 (this is the "rise"). Thus, the slope is
m = rise / run = 9/6, or 3/2.
Using the point-slope form of the equation of a straight line, we get:
y - 8 = (3/2)(x + 4)
Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
-
A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298
Answer:
120 degrees
Step-by-step explanation:
Attached is a screenshot.
y = 180 - 50 - 70 = 60.
x + y = 180, so x = 120
Remember to try to use parallel lines when you can
The second uses the same method, just the opposite side.
Answer:
7.37108cmx7.37108cmx7.37108cm
Step-by-step explanation:
Find the volume of the cylinder then take the cube route of that. You should end up with ~7.38108cm which is the length, width, and height of your cube. The volume is 402.12386cm cubed.
Answer:
140y
Step-by-step explanation:
35 times a number times -4 is 35×y×(-4) which is -140y
