Answers
An isosceles triangle is one which has two equal sides and angles. Therefore, the measure of <NMO required in the given question is [tex]20^{o}[/tex].
An isosceles triangle is a type of triangle which has two equal sides, thus angles.
So that comparing the triangles in the given question, we have:
i. ΔNMQ, ΔMPQ, ΔOPM, and ΔNMO are all isosceles triangles.
Thus;
<MQN = <MNQ = [tex]60^{o}[/tex] (isosceles triangle base angle property)
So that;
<QMN = [tex]180^{o}[/tex] - (<MQN + <MNQ)
= [tex]180^{o}[/tex] - [tex]120^{o}[/tex]
<QMN = [tex]60^{o}[/tex]
ii. In triangle MOP, we have;
<MPO = <MOP = [tex]80^{o}[/tex] (base angle property of isosceles triangle)
Then,
<PMO = [tex]180^{o}[/tex] - ([tex]80^{o}[/tex] +
= [tex]180^{o}[/tex] - [tex]160^{o}[/tex])
<PMO = [tex]20^{o}[/tex]
But,
<QMP + <NMO = ([tex]60^{o}[/tex] - [tex]20^{o}[/tex])
= [tex]40^{o}[/tex]
Since <QMP = <NMO, then;
m<NMO = [tex]\frac{40^{o} }{2}[/tex]
= [tex]20^{o}[/tex]
Thus, the measure of <NMO is [tex]20^{o}[/tex].
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Related Questions
The graph shows a system of equations: Draw a line labeled y equals x plus 4 by joining the ordered pairs negative 4, 0 and 1, 5. Draw a line labeled 3 times y equals minus 2 x plus 2 by joining the ordered pairs negative 2, 2 and 4, negative 2. What is the solution to the system of equations? a (−2, 2) b (2, 2) c (2, −2) d (−2, −2)
Answers
Answer:
A
Step-by-step explanation:
The problem wants you to solve graphically, but I don't have graph paper with me. To solve graphically, draw a straight line between the ordered pairs it gives and find the intersection. I will also solve algebraically; setting up our equations we get y=x+4 and 3y=-2x+2. By multiplying the first equation by 3, we can solve by elimination, resulting in 0=5x+10. After rearranging we have x=-2 and plugging back into y=x+4 gives y=2. Therefore our final answer is (-2,2) or A.
Please help me step by step
Answers
Answer:
2x + 66 + x = 180
3x = 180 - 66
3x = 114
x = 38
Answer: x=38 degrees
Step-by-step explanation:
You know that a line is equal to 180 degrees.
You equation - 2x+x+66=180
Solve . 3x+66=180
Subtract 66 from both sides 3x = 114
divide x=38
what is the answer to 3n+5=6
Answers
Answer:
n=1/3 or n=0.3, the 3 is infinite so put the line ontop of the 3
Step-by-step explanation:
Answer:
n = 0.33 or 1/3
Step-by-step explanation:
opposite operations ( + becomes - ) ( × becomes ÷ )solve for the unknown ( n ) steps are clearly shown in the photohope i helped you ... if I did can I get brainliest ☆ have a nice day ♡
What is the value of x?
A. 5
B. 2.5
C. 7.5
D. 10
Answers
Answer:
x = 5
Step-by-step explanation:
x is to x+5 what x-2 is 70 x+1
x/x+5 = x-2/x+1
x(x+1) = (x-2)(x+5)
x^2+x = x^2+ 5x - 2x - 10
x^2 - x^2 = -x + 5x - 2x - 10
10 = 2x
x = 5
pls help will give brainly if possible
Answers
Answer:
A= (1:2)
B= (4:4)
Step-by-step explanation:
Hope this helps improve possible pls brainliest
Find the value of n
1/(cube √7)^5=7^n
Answers
[tex]\dfrac{1}{ \left(\sqrt[3] 7 \right)^5} = 7^n\\\\\\\implies \left(\sqrt[3] 7 \right)^{-5} = 7^n\\\\\\\implies \left(7^{\tfrac 13} \right)^{-5} =7^n\\\\\\\implies 7^{-\tfrac 53} = 7^n\\\\\\ \implies n = -\dfrac 53[/tex]
solve pls brainliest
Answers
The next event requires each runner to jump 8 hurdles that are spaced 12. 3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10. 5 meters from the last hurdle to the finish line, how long is the race? Show your work.
Answers
The race is 123.90 meters long.
Since the next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart, if there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, to determine how long is the race, the following calculation must be performed:
8 x 12.30 + 15 + 10.5 = X 98.4 + 25.5 = X 123.90 = X
Therefore, the race is 123.90 meters long.
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Jessica and Laura are shopping for new clothes at a store that is going out of business. The different brands of shirts are all the same price, and the same goes for pants. At the store, Jessica purchases 3 shirts and 4 pairs of pants for a total of $90. Laura purchases 4 shirts and 2 pairs of pants for a total of $70.
Answers
Given Jessica and Laura's expenditure on shirts and pants, the equation to solve for the price of each shirts and pants is:
3s + 4p = 90
4s + 2p = 70
Let
Cost of each shirts = s
Cost of each pants = p
Jessica:
3s + 4p = 90 (1)
Laura:
4s + 2p = 70 (2)
Multiply (2) by 2
8s + 4p = 140 (3)
8s + 4p = 140 (3)3s + 4p = 90 (1)
Subtract (1) from (3) to eliminate p
8s - 3s = 140 - 90
5s = 50
s = 50/5
s = $10
substitute s = 10 into (1)
3s + 4p = 90 (1)
3(10) + 4p = 90
30 + 4p = 90
4p = 90 - 30
4p = 60
p = 60/4
p = $15
Therefore, the cost of each shirts is $10 and the cost of each pants is $15
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please help help help help help help
what come in between 1_3456789
answer correctly and you can get branliest
Answers
Answer:
2 you're just counting from 1 to 9.....
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
[tex]\sf 2x+1=25[/tex]
Answers
Answer:
The answer is 12
Step-by-step explanation:
2 x 12 + 1 = 25
Select all true statements about the figure please
Answers
Answer:
2nd and 3rd options are correct.
Step-by-step explanation:
I WILL GIVE OUT BRAINLIEST FOR CORRECT ANSWERS PLEASE HELP ME
Answers
Answer:
C) 32ft
Step-by-step explanation:
2x+2= 2(1)+2= 4
3x+4= 3(1)+4= 7
2x+2= 2(1)+2= 4
5x+1= 5(1)+1= 6
2x+2= 2(1)+2= 4
3x+4= 3(1)+4= 7
4+4+4+6+7+7= 31
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Answers
Step-by-step explanation
answer will be 1/22
NEED HELP ASAP! PLEASE!
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Answer:
Step-by-step explanation:
i would love to help but im so confused :(
George is saving his money. He started with $125.00. If he adds $75.00 to his savings each month, how
much will he have saved after 6 months
Answers
Answer:
$575.00
Step-by-step explanation:
75 * 6=450
450+125=575
find the slope and y-intercept
Answers
Answer:
Slope = 3
y-intercept: 0
Step-by-step explanation:
(1,3) and (2,6)
Slope: (6-3)/(2-1) = 3/1 = 3
y-intercept: 3 - (3)(1) = 3-3 = 0
y = 3x
Which of the following numbers is a common multiple of 5 and 9?
Answers
Step-by-step explanation:
5 = 5 × 1
9 = 3²
Common Multiple = 1 × 3² × 5 = 45
If α and -α are zeroes of 3x²+(2k-5)x-7 , then find the value of k?
Answers
Given quardratic polynomial is 3x^2+(2k-5)x-7
On Comparing this with the standard quadratic Polynomial ax^2+bx+c
a = 3
b=2k-5
c = -7
Given zeroes α and -α
sum of the zeroes α +(-α) = -b/a
⇛ α +(-α) = -(2k-5)/3
⇛ 0 = -(2k-5)/3
⇛ 0×3 = -(2k-5)
⇛0 = -(2k-5)
⇛-2K+5 = 0
⇛ -2k = -5
⇛ 2k = 5
⇛ k = 5/2
Answer:- The value of k is 5/2.
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Error Analysis DVDs cost $19.99 each for the first 2 purchased. After that, they cost $5.99 each. Describe and correct the error in sketching a graph to represent the relationship between the total cost and the number of DVDs purchased
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Error Analysis DVDs cost $19.99 each for the first 2 purchased. After that, they cost $5.99 each. Describe and correct the error in sketching a graph to represent the relationship between the total cost and the number of DVDs purchased
Your answer is
If a graph of the quadratic equation is given, how do you find the vertex?
Answers
Answer:
Look for the lowest point of the curve
Step-by-step explanation:
The vertex is generally where two or more curves meet, so if you have a standard ax2+bx+c quadratic, it would be the lowest point of the graph.
The image below should point it out.
what is this percentage as a fraction 25%
Answers
i might be wrong and its because i didn’t really understand the question.
— is the simplest form
4
Line m has an equation of y = 3x + 2
Identify the slope:
What is the slope of a line that is parallel to m?
What is the slope of a line that is perpendicular to m?
Answers
Answer:
y = 3x-2
Step-by-step explanation:
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+5 extra points .
Answers
Answer:
35 degrees for first one but i d k the others
Step-by-step explanation:
a. Solve for the value of x in the given triangle.
b. use your answer to the previous question to find the measures of the three angles, then classify RKO by its angle measures.
A. Acute
B. Equiangular
C. Right
D. Obtuse
Answers
Answer:
Step-by-step explanation:
[tex]5x + 5 + 11x - 1 + 3x + 5 = 180 \\\ 19x + 9 = 180 \\\ 19x = 180 - 9 \\\ 19x = 171 \\\ x = \frac{171}{19} \\\\\ x = 9[/tex]
11 × 9 - 1 = 98°
The obtuse angle is the one have an angle measuring between 90° and 180°.
I hope I've helped you.
I think I'm getting better my English ^^
i need help with this question thanks :)
the options are
45
33.75
50
not here
Answers
Answer:
UV = 45
Step-by-step explanation:
ZY is the perpendicular bisector of UV , then
UV = 2 × UY = 2 × 22.5 = 45
someone help!!! 10 points!!
Answers
Answer:
Start by putting a point at (-3,-4). Then, go up 1 and to the right 2 continously.
Step-by-step explanation:
What is the formula for rate of interest?
Answers
Answer:
Interest Rate = (Simple Interest × 100)/(Principal × Time).
Step-by-step explanation:
Every positive real number has a positive and a negative square root, the ________ root is called the principal root. *
A) Negative roots
B) Positive roots
C) Exact roots
D) not identified
Answers
9514 1404 393
Answer:
B) positive
Step-by-step explanation:
For even-index roots, which may be either positive or negative, the positive root is called the principal root.
QUICK!!!!!
Solve for x: 3x - 24 = 81
Answers:
A 105
B 105/3
C 53/3
D 53
Answers
Answer:
105/3
Step-by-step explanation:
3x - 24 = 81
84 + 24 = 105
3/3 = 105/3
Step-by-step explanation:
3x - 24 = 81
3x = 81 + 24
3x = 105
x = 105/3
Option → B
