The measure of angle 5 is 75°.
<u>Step-by-step explanation</u>:
Properties of intersecting lines :
- The angles formed opposite to each other at the point of intersection are called vertically opposite angles.
- These vertically opposite angles are congruent (same).
step 1 :
From the figure, the angle (-9x-12) and angle (6x+183) are vertically opposite and are equal.
-9x-12 = 6x+183
⇒ -9x-6x = 183+12
⇒ -15x = 195
⇒ x = -(195/15) = -13
step 2 :
Substitute x= -13 in the angle (-9x-12)
⇒ (-9x-12) = -9(-13)-12
⇒ 117 - 12 = 105°
step 3 :
<em>The measure of angle in a line is supplementary (180°)</em>.
<em>Let angle 5 be unknown value "a"</em>.
Then, angle (-9x-12) + angle a = 180°
⇒ 105° + a = 180°
⇒ a = 180 - 105
⇒ a = 75°
∴ The measure of angle 5 is 75°
Orlando's poster's length is 1 meter - 0.55 meter = 0.45 meter.
Amanda's " " " 0.85 meter
The difference in the lengths of their posters is (0.85 - 0.45) meter = 0.40 meter.
Answer:
Slope=-1.6
Step-by-step explanation:
In order to find slope you must do so this way:
<u>(y2-y1)</u>
(x2-x1)
1. <u>(-3-5)</u>
(2-(-3)
-3-5=<u>-8</u>
2-(-3)=5
2.<u>-8</u>
5
3. Slope=<u>-8</u>
5
4. Stope=-1/6
Answer:
$57
Step-by-step explanation:
they payed $14.25 for 3 tickets, 3 times 4 = 12 so you multiply $14.25 by 4
