Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2
Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4
The values of interest are
.. x = 14
.. y = 15
Answer:
A' (4, -3)
Step-by-step explanation:
Since it's a reflection over the x-axis, the point would undergo the following rigid transformation:
(x, y) --> (x, -y)
so,
(4, 3) --> (4, -3)
The measure of the angle created by the car's turning is 105°
Step-by-step explanation:
Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.
We have to calculate the measure of the angle created by the car's turning.
Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.
Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image
Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.
AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees
Therefore, at B,
∠ABC + ∠CBD = 180°
Aldo given , ∠CBD = 75°
Thus, the measure of ∠ABC is ,
⇒ ∠ABC = 180° -∠CBD
⇒ ∠ABC = 180° - 75°
⇒ ∠ABC = 105°
Thus, the measure of the angle created by the car's turning is 105°
Step-by-step explanation:
$13.50 per hour. 40 hours per week.
that makes her regular weekly income
40×13.5 = $540.00
in that particular week she had 8 his overtime in addition.
the overtime hourly rate is
13.5 × 1.5 = $20.25
so, she earned an additional
8×20.25 = $162.00
therefore she earned in that week in total
540 + 162 = $702.00
A scale model of this scooter would be 4 and 2/3 inches long.
