Answer:
A =72 in^2
When dilated
=1152 in ^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
We need to convert the units to match
2 ft= 24 inches
A = 1/2 ( 24*6)
A = 1/2 (144)
A =72 in^2
When dilated 6 inches *4 = 24 inches
24 inches *4 = 96 inches
A = 1/2 ( 96*24)
= 1/2(2304)
=1152 in ^2
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
The point on the y-axis is D. (0;-2)
