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.
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Answer:
x = -1, y = -2.
Step-by-step explanation:
Using the elimination method,
multiply the first eqn by 2 and the 2nd eqn by 5.
6x - 10y = 14
25x - 10y = -5
Subtract one of the new equations from the other
-19x = 19
x = -1
Sub x=-1 into the 2nd eqn
-5 - 2y = -1
y = -2
Hence x = -1, y = -2.
Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
Answer:
5%
Step-by-step explanation:
You want to find r when ...
I = Prt
is equal to P and t=20.
P = Pr·20 . . . . fill in the problem values
1/20 = r = 0.05 = 5% . . . . divide by 20P
The simple interest rate is 5%.
