Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
Answer:
A:
2(x + 2) + 2(2x - 5) =
2x + 4 + 4x - 10 =
6x - 6
perimeter = 6x - 6
B:
(x+2)(2x - 5) expand the brackets:
2x² - 5x + 4x - 10
area = 2x² - x - 10
C:
area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24
perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35
brainliest please? x
Answer:
Step-by-step explanation:
To change a decimal into a percent you multiply by 100.
If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5
By using what we know about right triangles, we conclude that the height is 11ft.
<h3>
How far is the top of the escalator from the ground floor? </h3>
We can think of this as a right triangle.
Where the length of the escalator is the hypotenuse
We know that the angle of depression is 42.51°, then the top angle of our right triangle is:
90° - 42.51° = 47.49°
Now, the height of the top of the escalator would be the adjacent cathetus to said angle, then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(47.49°) = height/16ft
cos(47.49°) *16ft = height = 10.8ft
Rounding to the nearest foot, we get:
height = 11ft
If you want to learn more about right triangles:
brainly.com/question/2217700
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1/4 because 0.25 is the same thing as 25/100. 25/100 simplified is 1/4
