angle KLM and angle MLN are complementary. angle LM bisects angle KLM. Find the measures of angle KLM and MLN
Answers
Final answer:
Using the concepts of complementary angles and bisecting angles, we find that Angle KLM measures 60 degrees and Angle MLN measures 30 degrees.
Explanation:
In this problem, we're dealing with complementary angles and bisecting an angle. Complementary angles are two angles whose measures sum to 90 degrees. When an angle is bisected, it is split into two equal smaller angles.
Firstly, as angle KLM and angle MLN are complementary, the sum of their measures equals 90 degrees, so Angle KLM + Angle MLN = 90 degrees.
Secondly, as angle LM is bisecting angle KLM, this means that angle KLM is split into two equal parts. Let's assume each of those parts is x, that means Angle KLM = 2x.
Given that angle KLM and angle MLN are complementary, we can substitute angle KLM = 2x into the equation, leading us to 2x + Angle MLN = 90 degrees. Since angle MLN is also x because it's a part of bisected angle KLM, we can substitute in Angel MLN = x into this equation, ending up with 2x + x = 90 degrees or 3x = 90 degrees. Solving for x, we find that x = 90 / 3 = 30 degrees.
Therefore, the measure of Angle KLM (2x) is 60 degrees and the measure of Angle MLN (x) is 30 degrees.
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Answers
Answer:
f(4) = 8
f(6) = 10
Step-by-step explanation:
Step 1: Define
f(x) = x + 4
f(4) is x = 4
f(x) = 10
Step 2: Find f(4)
f(4) = 4 + 4
f(4) = 8
Step 3: Find f(x) = 10
10 = x + 4
x = 6
Answers
Answer:
54
Step-by-step explanation:
Answers
Answer: Fraction of the estate Debra will received is
Step-by-step explanation:
Since we have given that
Amount shared by Debra and Lan = $1000,000
Amount received by Lan = $125,000
According to question, Debra received the rest.
So, Amount received by Debra is given by
Fraction of the estate Debra will receive is given by
Hence, Fraction of the estate Debra will received is
if you divide 1,000,000 by 125,000 you get 8. which means Ian got 1/8 of the money. leaving 7/8 for Debra
Answers
Answer:
The rise is -5 the run is 4
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-5
4
=
-1.25
θ =
arctan(
ΔY
) + 360°
ΔX
=
308.65980825409°
ΔX = 2 – -2 = 4
ΔY = -1 – 4 = -5
Distance (d) = √ΔX2 + ΔY2 = √41 = 6.4031242374328
Equation of the line:
y = -1.25x + 1.5
or
y =
-
5
x
4
+
3
2
When x=0, y = 1.5
When y=0, x = 1.2
Please give brainliest PLZPLZ
I really hope this helps have a beautiful day
Answers
Answer:
the answer is B –12 – 20x ≥ –6x + 9
on Ed genuity
B. 86.40 sq ft
C. 6.94 sq ft
D. 82.52 sq ft
Answers
Answer: A. 4.17 sq ft
Step-by-step explanation:
The total surface area of cube is given by :_
Given: The side of cube = 10 in.
We know that 1 feet = 12 inch
∴
Therefore, the side of cube =
Then the total surface area of cube is given by :_
So the answer is A. 4.17 sq ft.