Answer:
58°
Step-by-step explanation:
<MQR = <XQL (vertically opposite angles)
28 + 5b = 70 - 2b
28 - 70 = -2b - 5b
-42 = -7b
-42/-7 = b
6 = b
<MQR = 28 + 5b
= 28 + 5(6)
= 28 + 30
= 58°
Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>What does the information want:</u>
<u>Let's gather some information</u>:
- ΔA'BC' and ΔABC are similar triangles
⇒ Angle B is shared by both triangles
⇒ Angle A' and A are the same, as they are both on parallel
lines, A'C' and AC, and both angles are formed with the
same line AB
⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles
<u>If they are similar triangles</u>:
⇒ their side lengths are proportional to each other
⇒ let's set up a proportion

⇒ let's set up a proportion

<u>Answer:</u>
- <u>x= 17.143</u>
- <u>y = 26.25</u>
Hope that helps!
#LearnwithBrainly
Answer:
3.7hours
Step-by-step explanation:
Step one:
A car travels 360 miles in 8 hours
the speed is calculated as
speed= distance/time
speed= 360/8
speed= 45mph
Step two:
How much time will it take traveling 168 miles?
having found the speed, which is the rate at which the car is tavelling
time= distance/speed
time= 168/45
time= 3.7hours
Answer:
(x - 9)(x - 3)
Step-by-step explanation:
Step 1: Write out quadratic
x² - 12x + 27
Step 2: Factor
<em>What 2 numbers add up to -12 and multiply to 27?</em>
-9 and -3 add up to -12 and multiply to 27.
(x - 9)(x - 3)