Answer:
All the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Given - A triangle is to be dilated with the origin as the center of dilation and with a scale factor of 2.
To find - Which answer choice correctly maps this dilation algebraically?
Proof -
Let ABC is a triangle where A, B, C are the vertices of the triangle respectively.
Now,
Let the coordinates be (x, y)
If a triangle is to be dilated with the origin as the center of dilation and with a scale factor of a , then the coordinated be changes as
(x, y) ⇒ (ax, ay)
Here given , a = 2
So, all the coordinates are changed to
(x, y) ⇒ (2x, 2y)
Answer:
k
2
+
k
+
1
Step By Step:
Cancel the common factor.
Then.
k
2
+
k
+1
by 1
Gets you k2+k+1
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
We know that:
- <u>Trapezoid ABCD has one side that is 25 unit. </u>
- <u>The other 3 sides (AB, BC, and CD) are 12 units. </u>
- <u>EF = 6 units</u>
- <u>EH = 12.5</u>
- <u>Trapezoid ABCD is congruent to Trapezoid EFGH</u>
<em>If the 3 sides of the trapezoid ABCD are the same sides, then side EF, FG, GH must be of the same length because of congruence. The value of FG and GH must be the same length as EF. We can clearly see in the picture that EF is 6 units. Hence, EF is 6 units, FG is 6 units, and GH is 6 units. The work of the perimeter is shown below.</em>
<u>Work</u>
- => 6(3) + 12.5
- => 18 + 12.5
- => <u>30.5 units</u>
Hence, the perimeter of EFGH is 30.5 units.

Answer: x = 15
Step-by-step explanation:
Vertical angles are equal so we can set 47 = 3x + 2
Now just solve the equation for x
47 = 3x + 2
Subtract 2 from each side
45 = 3x
Divide both sides by 3
15 = x
Answer:
5'4" or 64 inches
Step-by-step explanation: