Answer:
A.
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
(nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
Answer:
Step-by-step explanation:
We have been given that line m is parallel to line p, and
.
Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.
We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.
We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.
Upon substituting our given values we will get,
Therefore, measure of angle EFG is 52 degrees.
Answer:
A. 2(x + 9) = 8
Step-by-step explanation:
To solve this problem, we proceed as follows:
- We call "x" the number picked up by Amy:
- Amy then adds 9 to this number, so we get:
- Then, we multiply this sum by 2, so we get:
- Finally, Amy says that this number is equal to 8:
So the correct equation is
A. 2(x + 9) = 8
We can even solve it to find the number. We get:
Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
