Answer:
See below ~
Step-by-step explanation:
<u>Solving for x in ΔLMN</u>
- 6x + 3 + 4x - 10 + 5x + 7 = 180
- 15x = 180
- x = 12
<u>Angles in ΔLMN</u>
- (6x + 3)° = 6(12) + 3 = 75°
- (4x - 10)° = 4(12) - 10 = 38°
- (5x + 7)° = 5(12) + 7 = 67°
<u>Solving for y in ΔSTU</u>
- 5x + 3y + 9y - 7 + 6x - 5 = 180
- 11x + 12y - 12 = 180
- 11(12) + 12y = 192
- 132 + 12y = 192
- 12y = 60
- y = 5
<u>Angles in ΔSTU</u>
- (5x + 3y)° = 5(12) + 3(5) = 60 + 15 = 75°
- (9y - 7)° = 9(5) - 7 = 45 - 7 = 38°
- (6x - 5)° = 6(12) - 7 = 72 - 7 = 67°
⇒ Their angles are equal (in ΔLMN and ΔSTU)
⇒ ΔLMN and ΔSTU are similar
The answer to your question is false
Answer:
x + y
Step-by-step explanation:
An expression for the average of x,2x and 3y
average = (x+2x+3y)/3
= (3x+3y)/3
= 3(x+y)/3
= x + y
Answer:
12.566
Step-by-step explanation:
A = ∫1/2(r)^2dtheta from a - b = 0 to 2π
∫1/2(sin^2theta-4sintheta+4)dtheta
[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…
when you solve this you get 14.137 without taking out the cos(2theta+3)
Answer:
1 cup of sugar per 2 cups of flour
Step-by-step explanation: