Mathematics College

triangle mno is equilateral. find x and y.

Triangle Mno Is Equilateral. Find X And Y.

Answers

Answer 1

Answer:

x = 7.5 and y = 75

==============

Given

Equilateral triangle MNO.

We know each interior angle of an equilateral triangle is 60°, since each of three angles are of same value.

180°/3 = 60°

We can see:

m∠MNO = 2x + 4x + 2x              Sum of interior angles60 = 8x                                        Substitute the value of ∠MNOx = 60/8                                       Solve for xx = 7.5

The middle triangle with two interior angles 4x and y has the missing angle also y, since it is isosceles, because both adjacent angles are equal at vertex N.

It gives us:

4x + y + y = 180         Sum of interior angles4*7.5 + 2y = 180        Substitute the value of x30 + 2y = 180            Solve for y2y = 150y = 75
Answer 2

First

Measure of any angle in an equilateral triangle is 60°

So

2x+4x+2x=60°8x=602x=15x=15/2x=7.5

And

4x=4(7.5)=30

Apply angle sum property

2y+30=1802y=150y=75

Related Questions

A credit card company wanted to estimate the proportion of its customers who pay their credit card minimum balance on time. The company sampled 500 records and constructed a confidence interval for the true proportion of customers who pay their credit card minimum balance on time. The resulting 95 percent confidence interval was (0.765, 0.835). Which of the following is a true statement regarding the value of the point estimate and margin of error of the percentage of customers who pay their credit card minimum balance on time?

a. The point estimate is 0.765 and the margin of error is 0.07.
b. The point estimate is 0.765 and the margin of error is 0.835.
c. The point estimate is 0.80 and the margin of error is 0.035.
d. The point estimate is 0.80 and the margin of error is 0.07.
e. The point estimate could be any number within the interval and the margin of error is 0.035.

Answers

Answer: c. The point estimate is 0.80 and the margin of error is 0.035.

Step-by-step explanation:

Given: The 95 percent confidence interval was (0.765, 0.835).

Confidence interval = Point estimate ± Margin of error.

I.e. Point estimate + Margin of error = 0.835       (i)

Point estimate - Margin of error = 0.765         (ii)

Add (i) and (ii), we get

2 (Point estimate)= 1.60

⇒ Point estimate = 0.80

Put this in (i), we get

0.80+Margin of error = 0.835

⇒ Margin of error = 0.835 -0.80

⇒ Margin of error = 0.035

Hence, the correct statement is:

c. The point estimate is 0.80 and the margin of error is 0.035.

73% of 148 grams is what?

Answers

Answer:

108.04 grams

Step-by-step explanation:

Answer:  108.04

Step-by-step explanation:


b) A car priced at $3600 is reduced by 25%.
What is the reduced price?

Answers

3600:25 =144

reduced price is 144$

An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $20.00.




15 necklaces and 1 bracelet



8 necklaces and no bracelets



no necklaces and 16 bracelets



3 necklaces and 8 bracelets



no necklaces and 8 bracelets



5 necklaces and 6 bracelets

Answers

Answer:

8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets

Step-by-step explanation:

15 necklaces and 1 bracelet equals $38.75

8 necklaces and no bracelets equals 20

no necklaces and 16 bracelets equals 20

3 necklaces and 8 bracelets equals 17.5

no necklaces and 8 bracelets equals 10

5 necklaces and 6 bracelets equals 20

Which subtraction sentences have a difference of 142 Choose Yes or No for each number sentence.
5 - 4. Choose.
8
Choose
Choose...
9-81 choose.

Answers

Answer:

the question does not make sense. please rewrite the question.

What is the property of 4x+6=18

Answers

Answer: 4x-6= 18

4x=24

x= 24 & 4

x=6

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?  

But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.

A horizontal slice of the rectangular prism below is made. The slice is parallel to rectangle. Which of these statements are true? Choose all that correct

Answers

the answer is c d and e

Write
7
2
5
as an improper fraction.

Answers

Answer:

7*2/5 it is a improper fraction

Answer:

[tex]\frac{7}{1}[/tex], [tex]\frac{2}{1}[/tex], and [tex]\frac{5}{1}[/tex]

Step-by-step explanation:

Those are all the improper fraction forms of 7, 2, and 5.

Round 42,736,325 to the nearest million​

Answers

Answer:

i hope this helps  :)

Step-by-step explanation:

Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576

Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.

Thus 19,546,576 rounded to the nearest million is 20,000,000.

Answer:

43 million

43000000

Step-by-step explanation:

7 rounds up

aplicaciones de la geometría en la vida​

Answers

Answer:

I don't understand I'm sorry.....

Need help with a math question urgently

If 1

Answers

Answer:

Wheres the picture-

Step-by-step explanation:

PLEASEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEEEEEEEEEEEEEEEEEEEEEEE

1. Pia drew a circle with a circumference of C and a diameter of 14 in. Pia knows that , and she wrote the following equation to represent the value of .

(a) There is an error in Pia’s equation. Write an equation to correctly represent the value of . Show your work.
(b) Write an equation and find the circumference of the circle.

Answer:

Answers

Answer:

C = 14 x Pi

C = 14 x 3.14

C = 43.96 in

Answer:

Step-by-step explanation:

The answer to (A) is N/A and the answer to (B) is N/A again (Hope this helps!)

There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction

Please can someone help thank you very much :)

Answers

Answer:

1/3

Step-by-step explanation:

2/6 means that 2 out of the 6 tills have comfy seats. 2/6 simplified is 1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The total amount of tilts is 6

The amount of tilts with comfortable seats is 2

So there are two tilts with comfortable seats out of six tilts that are in the supermarket

Now write it as fraction:

[tex]\frac{2}{6}[/tex] = [tex]\frac{2*1}{2*3}[/tex] (alternatively 2/6)

Here we get the probability

// divide numerator and denominator by 2

[tex]\frac{2*1}{2*3}[/tex] = [tex]\frac{1}{3}[/tex] (alternatively 1/3)

Which number is divisible by 8? O 1,026 1,024 1,022 1,020​

Answers

Answer:

1024

Step-by-step explanation:

1024/8=128. all are divisible by 8, but 1024 is the only one where you don't need a decimal in the answer

what is 5/6 - 3/8 plz help

Answers

the answer is: 11/24

Triangle A is similar to triangle B.If the scale factor of triangle A to triangle B is 4 to 5,what is the ratio of the perimeter of triangle A to triangle B?

Answers

Answer:

4:5

Step-by-step explanation:

The ratio of the perimeter of the two similar shapes is equal to the scale factor of the two similar shapes.

find x and round to the nearest tenth

Answers

Answer:

X=21.4

Step-by-step explanation:

^^^

Your answer to your question is X= 21.4

what are the x intercepts of y=x^2-x-12

Answers

x intercept: (4,0) , (-3,0)
y intercept: (0,-12)

Hope this helps!

Answer:

The person at the top is right. Give them brainliest

Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?

Answers

Answer:

(3×25)÷5=15

hope it helps you

please mark me as brainlist

Answer:

15

Step-by-step explanation:

first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15

Is the line vertical or horizontal if the equation is x=-1.

Answers

Answer:

the line is vertical

Answer:

vertical.

Step-by-step explanation:

you can tell its vertical because it says x=-1, meaning it will be on the x axis. i also graphed it in the picture. hope this  helped !

HELPPPPPP ANSWER ASAP

Answers

I think is 4.7 for SU, pls let me know if is right :).
The answer for this question is 4.7

What is the difference between the leg and hypotenuse of a right triangle?

Answers

Answer:

The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight

Step-by-step explanation:

Sorry i did my best explanation

Which expression shows the sum of 8 and a number f

Answers

Answer:

8+f

Step-by-step explanation:

The SUM of 8 and f

Pls tell me if Im wrong

Hope this helps

Solve
Four times the sum of 6 and some number is 32. What is the number?

Answers

Answer:

Thus, the value of x is 1.

Step-by-step explanation:

4(2x+6)=32

8x+24 =32

8x =32-24

8x =8

x =8÷8

x =1

Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?

Answers

Answer:

about 29 seconds and 74 meters

Step-by-step explanation:

the rate of currency exchange published in the newspaper on a certain day showed 12 pound could be exchange for 96 dollars. how many dollars could be obtained for 102 pounds.​

Answers

Answer:

$816

Step-by-step explanation:

ratio would be:

12:96

or:

1:8

so one pound=8 dollars

102x8=816

Find the volume of the cylinder if the radius is 4.5cm and the height is 8cm. Use 3.14 for TT

Answers

Answer:

508.68cm²

Step-by-step explanation:

Volume of a cylinder = πr²h

given r=4.5 cm h =8cm and π=3.14

so volume=

3.14×4.5×4.5×8

=508.68cm²

2 f(x)=x2 + 2x cómo se evalúa?

a) f(3)
b) f(-1)
c) f(x-3)​

Answers

Answer:

b) f (-1) ese es el resultado

Sally has 21 books sam has 24 time books than Sally how many books does Sam have

Answers

Can you delete my comment? I made a mistake-

Sally's books = 21

Sam's books

= 24 times Sally's books

= 24 times 21

= 24 × 21

= 504

Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.

Answers

Answer:

sOrRy BoW nEeD SoMe PoInTs Bow

Step-by-step explanation:

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