X - an amount

To increase an amount by 3% you can multiply the amount by 1.03.
Answer:
Step-by-step explanation:
<u>The two marked angles must have same value as corresponding angles:</u>
- 3x + 48 = 6x - 36
- 6x - 3x = 48 + 36
- 3x = 84
- x = 28
<u>The angle measure:</u>
Given -
y > - x + 3
To Find -
The points which is NOT a solution to the inequality
Step-by-Step Explanation -
We will put the value of each in inequality and then see if it satisfies the given condition or not.
a. ( -2,6)
So, x = -2 and y = 6 in y > - x + 3
= 6 > - (-2) + 3
= 6 > 5 (Correct Solution)
b. (5,-1)
So, x = 5 and y = -1 in y > - x + 3
= -1 > -5 + 3
= -1 > -2 (Correct Solution)
c. (2,0)
So, x = 2 and y = 0 in y > - x + 3
= 0 > -2 + 3
= 0 > 1 (Incorrect Solution)
d. (0,3)
So, x = 0 and y = 3 in y > - x + 3
= 3 > -0 + 3
= 3 > 3 (Incorrect Solution)
Final Answer -
The points which is NOT a solution to the inequality =
c. (2,0)
d. (0,3)
Answer:
Step-by-step explanation:
a). Trapezoid ABCD has one acute angle, one obtuse angle and two right angles.
Since, angle B is an acute angle, mark the vertex A' having acute angle.
Similarly, Obtuse angle A' for A and other vertices.
b). Rigid transformation doesn't change the size and shape of the image.
Therefore, all angles and measure of sides of ABCD will remain unchanged.
Measure of angle A' = 130°, m∠B' = 50°
m(A'D') = m(AD) = 6 units
m(C'D') = m(CD) = 4 units