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.
Answer:
$40.95
Step-by-step explanation:
daniel earned 18.20 for working 2 1/3 hours
so he earned 18.20 / (2 1/3) for each hour of work
for 5 1/4 hours of work, he earned
= 18.20 / (2 1/3) x 5 1/4
= $40.95
Answer:Three solutions to this answer
x=3
x=2
x= -1
Step-by-step explanation:
The measure of ∠7 is 47°. Angle 7 is a vertical angle to angle 5
Suppose the measure of ∠6 is represented represented by (2x - 5), the equation that can be use to solve for x is 42 + 2x = 180
The value of x is 69
<h3>Vertical opposite angles</h3>
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertical opposite angles are congruent. Therefore,
a. ∠5 ≅ ∠7 (vertical angles)
Therefore, angles 5 and 7 are congruent angles.
∠7 = 47°
b. Suppose ∠6 = 2x - 5 . let's find x
Therefore,
∠5 + ∠6 = 180(angle on a straight line)
The equation to solve the above is as follows:
47 + 2x - 5 = 180
42 + 2x = 180
2x = 180 - 42
2x = 138
x = 138 / 2
x = 69
learn more on intersecting lines here: brainly.com/question/24715845
2x5=10+2=12 so this as an improper fraction equals 12/5
