MNO and MPO are isosceles triangles. Find angle t​

MNO And MPO Are Isosceles Triangles. Find Angle T

Answers

Answer 1

Answer:

t = 20°

Step-by-step explanation:

Recall that the base angles of an isosceles ∆ are equal to each other.

This means that:

<NMO and <NOM of ∆MNO are congruent to each other.

Thus,

m<NMO = ½(180 - m<N) = ½(180 - 70)

m<NMO = ½(110)

m<NMO = 55°

Also, <PMO and <POM are congruent to each other. Thus:

m<PMO = ½(180 - m<P) = ½(180 - 110)

m<PMO = ½(70)

m<PMO = 35°

Therefore,

m<NMO = t + m<PMO (angle addition postulate)

55° = t + 35° (substitution)

Subtract 35 from each side

55° - 35° = t

20° = t

t = 20°


Related Questions

The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side

Answers

Step-by-step explanation:

Given parameters:

Perimeter of triangle  = 69cm;

 

Unknown:

Length of each side  = ?

Solution:

   Side a is 5cm shorter than side b;

         b  = a + 5  ----- i

   Side c is 5 more than twice side b;

          c = 2b + 5

The three sides of triangle are a, b and c;

  Perimeter is the sum of sides of a body;

      a + b + c  = 69

From i;

        a  = b - 5

        b

       c  = 2b + 5

so;

          b - 5 + b + 2b + 5  = 69

           4b = 69

            b  = 17.25cm

a  = b -5  = 17.25 - 5 = 12.25cm

c = 2(17.25) + 5  = 39.5cm

pls help thx , I’m behind ;(

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5 is the in its value bc its on the y intercept meaning the starting point

The slope of the line that passes through the points (0, 3) and (5, 13) Is

Answers

Answer:

The slope would be 2

Step-by-step explanation:

The answer would be 2

7 milloin 481 thousand 624in standard form

Answers

Answer:

7,481,624

Step-by-step explanation:

Answer:

7.48 x10^6

Step-by-step explanation:

x + 8x + 15 help me out with this plz

Answers

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

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Consider a right-tailed test (upper tail) and a sample size of 40 at the 95% confidence level. The value of t is ________.
a. +2.023
b. -2.023
c. -1.685
d. +1.685

Answers

Answer:

The correct option is d.

Step-by-step explanation:

The directional hypothesis is:

[tex]H_{a}:\mu>\mu_{0}[/tex]

The sample size is, n = 40.

The significance level is:

[tex]\alpha =1-0.95=0.05[/tex]

Use the t-table to compute the right-tailed t-critical value as follows:

[tex]t_{\alpha,\ (n-1)}=t_{0.05, (40-1)}[/tex]

             [tex]=t_{0.05, 39}\\\\\approx t_{0.05, 40}\\\\=1.684\\\\\approx 1.685[/tex]

The value is positive since the directional hypothesis suggests that the test is right tailed.

The correct option is d.

Show Your Work!
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Answer:

x= -4

Step-by-step explanation:

fkkfjfcjcjjc ekkfjfjfhgfjfnfhfhfhrj​

Answers

I- I'm speechless

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Answers

Five exterior angles of a hexagon are 41° 32°,67º 71°, and 55°, What is the measure of the sixth exterior
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Can yo help me

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A.) -20/7
B.) 20/7
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D.) -7/20

Answers

Answer:

The answer is B

Step-by-step explanation:

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Answer: 0.57
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Answer:

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Step-by-step explanation:

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Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

The Snells can spend 4 nights at a resort for $500 or 6 nights at the same resort for $750. Find the slope.

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Answer:

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that is hard but the answer is 1,256 I think that is right

Ms. Boyd has 9 bills in her purse that consist
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Answers

Answer:

5 twenty's 1 five

Step-by-step explanation:

20 x 5 = 100

100 = 5 = 105

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Answers

Answer:

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Step-by-step explanation:

la pregunta no tiene sentido

Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Jeisejsoshsisjnakakaajhsixndkdjsjdhjdjdjdhsjshehhss

A cylindrical container can hold 4 quarts of water if its radius and height are both tripled how much water can it hold?

Answers

Answer:

108quartz

Step-by-step explanation:

Volume of a cylinder = πr²h

r is the radius

h is the height

If A cylindrical container can hold 4 quarts of water, then;

4 = πr²h ...... 1

Let the volume be x of the radius and height at tripled

h1 = 3h

r1 = 3r

X = πr1²h1

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X = 9πr²(3h)

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Cross multiply

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3/4x+2=5/12 rewite so there’s no fractions

Answers

Answer:

3/4   and  2/5 have a common denominator of 20, so re-write

15/20x - 2 = 8/20       Now multiply both sides by 20

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Step-by-step explanation:

Which expression would be easier to simplify if you used the associative property to change the grouping.

Answers

c? i think its c (Sorry if iim wrong)

Answer:

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Step-by-step explanation:

I WILL MARK BRAINLIST

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Answer:

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Step-by-step explanation:

Hope that helped! Have a great rest of your day!

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_ / 6 = 7

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Answer:

42

Step-by-step explanation:

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a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!)​

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The fourth one IAMS

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Answer:

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Step-by-step explanation:

Answer:  3000

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Answers

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Answers

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Step-by-step explanation:

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Answers

I hope it is helpful for you

Answer:

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Step-by-step explanation: i took the test on k12 hope this helps

In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC

Answers

Answer:

hb=4√3

Step-by-step explanation:

Answer:

AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

To find AB:

∆ABC is an 30,60,90∆

Using the theorem, you can find AB = 2AC = 2*4 = 8

AB = 8

To find HB:

You need to find AH to subtract from AB

Construct CH, a perpendicular bisector to side AB

From before you can put together that m∠CAB = 60°

∆ACH is an 30,60,90∆

Using this method again, AH = AC/2 = 4/2 = 2

Then you subtract AH from AB = 8-2 = 6

HB = 6

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You use the (base*height)/2 method

base = AB = 8

to find the height, CH, you need to use the Pytha Theorem

and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]

then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]

calculate and get CH = 2[tex]\sqrt{3}[/tex]

then the height = CH =  2[tex]\sqrt{3}[/tex]

solve the area and get

Area of ∆ABC = 8[tex]\sqrt{3}[/tex]

(optional perimeter)

to find perimeter of ∆ABC:

you add AC + CB + AB

you find CB by using opposite to 30°

CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]

so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8

Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]

Hope this helps!!

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