Answer:
∠ LMP = 77° , ∠ NMP = 103°
Step-by-step explanation:
The 2 angles on the straight line sum to 180° , that is
∠ LMP + ∠ NMP = 180 , substitute values
- 16x + 13 - 20x + 23 = 180 , that is
- 36x + 36 = 180 ( subtract 36 from both sides )
- 36x = 144 ( divide both sides by - 36 )
x = - 4
Then
∠ LMP = - 16x + 13 = - 16(- 4) + 13 = 64 + 13 = 77°
∠ NMP = - 20x + 23 = - 20(- 4) + 23 = 80 + 23 = 103°
Answer:
x = 2
y = 12
Step-by-step explanation:
In triangle ABD, CE is the mid segment.
Therefore, by mid segment theorem:
2(5x - 3) = x + 12
10x - 6 = x + 12
10x - x = 12 + 6
9x = 18
x = 18/9
x = 2
Since, DE = EA
2y - 4 = y + 8
2y - y = 8 + 4
y = 12
Ince they are equal in absolute value and merely differ in being positve or negative, result in a sum of 0
Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The student is 6 feet tall. What is the height of the tree? Show all work
<em><u>Answer:</u></em>
Option D
The height of tree is 20 feet tall
<em><u>Solution:</u></em>
From given question,
Shadow of tree = 30 feet
Height of tree = ?
Height of student = 6 feet
Shadow of student = 9 feet
We have to find the height of tree
We can solve the sum by proportion

This forms a proportion and we can solve the sum by cross multiplying

Thus height of tree is 20 feet tall
I think the answer is C-No solutions