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
Answer:
42 is an area
Step-by-step explanation:
Answer:
y = mx + b is the answer
Step-by-step explanation:
im a good teacher and i done this before
(x - 9)(x + 9) is your answer. This is called a difference of two squares.
Answer:
a) 803
b) The eighth graders.
Step-by-step explanation:
a) 4/8 of 584 is 292 students.
7/8 of 584 is 511 students.
11/8 of 584 is 803 students.
b) The eighth graders would win because they have more students participating.