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

find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3​

Answers

Answer:

123

Step-by-step explanation:

3 + (16 - 1)8

3 + (15)8

3 + 120

123

What is the greatest number of baskets that Lisa can make?
Lisa is making fruit baskets.
• She has 12 pears, 30 apples, and 42 oranges.
• For each type of fruit, each basket must have the same number of pieces
of that fruit
• She must use all of the fruit.
A) 2
B 5
C)6
D)7

Answers

Answer: 5

Step-by-step explanation:

pls help!!!! ahhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

1:2

Step-by-step 1:2explanation:

it doesnt say anything about colors. so how many dots? how many stripes? 2 and 4. Ratio: 2:4. Ratios can be fractions: 2/4. What does 2/4 simplify to? 1/2 That means for every 1 dot rectangle there are 2 stripe rectangle. Ratio : 1:2 or 1 to 2 or 1/2

Please help me...I need to turn this in PLZZZZ!!!!!!

Answers

Answer:

i believe its C

Step-by-step explanation:

Answer:

52 degree angle

In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?

Answers

Answer:

11118 people voted

Step-by-step explanation:

Given

[tex]Eligible\ Voters = 21800[/tex]

[tex]Registered\ Voters = 85\%[/tex]

[tex]Voted\ Voters = 60\%[/tex]

Required

Determine the number of voters

First, we need to determine the number of registered voters.

[tex]Number = \%Registered\ Voters * Eligible\ Voters[/tex]

[tex]Number = 85\% * 21800[/tex]

[tex]Number = 18530[/tex]

Next, we determine the actual voters using

[tex]Voters = \%Voters * 18530[/tex]

[tex]Voters = 60\% * 18530[/tex]

[tex]Voters = 11118[/tex]

Hence, 11118 people voted

Gawain sa Pagkatuto Bilang 2: Pagsunod-sunurin ang mga
pangkat. Isulat ang letra ng tamang sagot,
1. A.
B.
C.
Malaki - Paliit
Maliit → Palaki
C.
2.
A.
B.
Malaki → Paliit
Maliit > Palaki
3.
C.
A.
B.
WA
Malaki > Paliit
Maliit -> Palaki​

Answers

Answer:

What is this about?

Step-by-step explanation:

What topic?

Solve: 2x + 15 = -3x
Please help me out! I need to solve for X

Answers

Answer:

X=-3

Step-by-step explanation:

2x+15=-3x

15=-5x

x=15/-5

x=-3

Answer:

x = -3

Step-by-step explanation:

2x + 15 = -3x

15 = -5x

x = -3

Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1

Answers

Step-by-step explanation:

4x^2+2x-5

4(-1)^2+2(-1)-5

4-2-5

2-5= -3

The answer to this question is -3

What is the solución to this equation
X/5=30

Answers

Answer:

150

Step-by-step explanation:

x/5=30

x=30*5

x=150

Hoped this helped!

Step-by-step explanation:

x/5 = 30

5 × x/5 = 5 × 30

x = 5 × 30

x = 150

Write the ratio as a fraction in simplest form. 27 to 72

Answers

Answer: The ration for 27:71, would be 3/8. Hope this helps!

Do you guys know what is after you become an expert??

Answers

Answer:

Ace is the next level after expert.

What are the slope and y-intercept

Answers

Answer:

Slope= -1/2 ; y-inter = 0

Step-by-step explanation:

Slope m = -1/2
By using the slope and the points given; especially pints (2, 12) and (-2, 14)
Y intercept b = 13

200 divided by 5.50 is what because if one hour is 5.50 and you need 200 how many hours do you work

Answers

Answer:

if you divided 200 by 5.50 the answer will be 36.3636363636

Please help....... thanks

Answers

Answer:

7 weeks

Step-by-step explanation:

49 divided by 7 is 7

n/4 + 1 =5 how do I solve this and show my work​

Answers

Answer:

n/4 + 1 =5

n/4 = 5-1

n/4 = 4

n = 4*4

n = 16

Answer:

So do this,

Step-by-step explanation:

stand up and go ask your mom!

1/x+x/2=11/6 transformable to quadratic equations​

Answers

Note: Consider we need to find the solution of given equation.

Given:

The equation is

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

To find:

The solution of the equation.

Solution:

We have,

[tex]\dfrac{1}{x}+\dfrac{x}{2}=\dfrac{11}{6}[/tex]

[tex]\dfrac{2+x^2}{2x}=\dfrac{11}{6}[/tex]

By cross multiplication, we get

[tex]6(2+x^2)=11(2x)[/tex]

[tex]12+6x^2=22x[/tex]

[tex]6x^2-22x+12=0[/tex]

[tex]2(3x^2-11x+6)=0[/tex]

Divide both sides by 2.

[tex]3x^2-11x+6=0[/tex]

Splitting the middle term, we get

[tex]3x^2-9x-2x+6=0[/tex]

[tex]3x(x-3)-2(x-3)=0[/tex]

[tex](x-3)(3x-2)=0[/tex]

Using zero product property, we get

[tex]x-3=0[/tex] and [tex]3x-2=0[/tex]

[tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex]

Therefore, the solutions of the given equation are [tex]x=3[/tex] and [tex]x=\dfrac{2}{3}[/tex].

Quadratic equations are algebraic equations that can be factored or broken down into simpler forms(factors).

Transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

We are given the algebraic equation:  1/x+x/2=11/6

Transforming it into a quadratic equation, we find the Lowest common denominator of the fractions in the quadratic equations.

LCD(x,2,6) = 6x

Multiply all through the fractions by 6x

(1/x * 6x)+ (x/2 * 6x) = (11/6 * 6x)

6 + 3x² = 11x

Rewriting the equation:

3x² - 11x + 6 = 0

Therefore, transforming 1/x+x/2=11/6 to quadratic equations is 3x² - 11x + 6 = 0

To learn more, visit the link below:

https://brainly.com/question/18251794

what is the solution for a.
ab+c=d

Answers

Answer:

The second option

Step-by-step explanation:

Explanation:
Remember we can do pretty much anything we like to an equation as long as we do the same to both sides.
Subtract
c
from both sides:
a
b
+
c

c
=
d

c


a
b
=
d

c

Divide both sides by
b

a
b
b
=
d

c
b


a
=
d

c
b

how many real solutions will y=x^2 and y=-2x have? what are the solutions?

Answers

Answer:

there is none

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

Real number solutions only or real and complex solutions. A solution to the system:

y=-2x+2

y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.

What are the four kinds of parabolas

Answers

Answer: Focus, Vertex, Axis, and Directrix.

Step-by-step explanation:

Describe the steps you would use to solve the equation 5( 2a - 3 ) = 20 + a.
PLEEEEASE HELP ME AND ILL MARK YOU BRAINLIEST

Answers

Answer:

Distribute the 5 to get 10a-15=20+a and solve

Which statement describes the expression 9(8 + 25)?

1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s​

Answers

2 because you do what is in parenthesis first :)

Answer:

2

Step-by-step explanation:

ez any thing else just hit me up of so

Market research suggests that in a five year period 8% of people with cable television will get rid of it, and 26% of those without it will sign up for it. Compare the predictions of the Markov chain model with the following data on the fraction of people with cable TV: 56.4% in 1990, 63.4% in 1995, and 68.0% in 2000. What is the long run fraction of people with cable TV?

Answers

Answer: in the long run, 76.47% will have Cable TV

Step-by-step explanation:

Given the data in the question;

the matrix of transition from having cable TV to not having cable TV is

P = [ 0.92    0.08

       0.26    0.74  ]

Now if [ 0.564   0.436 ] is the distribution in 1990,

then in 1995 we have;

[ 0.564   0.436 ]  [ 0.92    0.08          = [ 0.6322    0.3678 ]

                              0.26    0.74  ]

so 63.22% will have cable TV in 1995

[ 0.6322    0.3678 ]  [ 0.92    0.08         = [ 0.6773    0.3227 ]

                                    0.26    0.74  ]

also 67.73% will have cable TV in 2000

let V = [ V1  V2 ] be the long run vector then

V1 + V2 = 1 ------lets say equ1    and  VP = V

⇒[ V1  V2 ]    [ 0.92    0.08        =  [V1  V2 ]

                       0.26    0.74  ]

⇒0.92V1 + 0.26V2 = V1

  0.08V1 + 0.74V2 = V2

OR 0.26V2 = 0.08V1

from equ 1, V1 = (1 - V2)

SO

0.26V2 = 0.08 (1 - V2)

0.26V2 = 0.08 - 0.08V2

0.34V2 = 0.08

V2 = 0.08 / 0.34

V2 = 0.2353

THUS

0.26V2 = 0.08V1

0.26(0.2353) = 0.08V1

0.061178 = 0.08V1

V1 = 0.061178 / 0.08

V1 = 0.7647

Therefore in the long run, 76.47% will have Cable TV

Assume a significance level of α=0.05 and use the given information to complete parts​ (a) and​ (b) below.
Original​ claim: Less than 51​% of adults would erase all of their personal information online if they could. The hypothesis test results in a​ P-value of 0.0148
a. State a conclusion about the null hypothesis.​ (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A.Reject Upper H0 because the​ P-value is less than or equal to to α.
B. Reject Upper H0 because the​ P-value is greater than α.
C. Fail to reject Upper H0 because the​ P-value is greater than α.
D. Fail to reject Upper H0 because the​ P-value is less than or equal to α.
b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51​%.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51​%.
D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Answers

Answer:

A.Reject Upper H0 because the​ P-value is less than or equal to to α.

B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Step-by-step explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%

TRUE OR FALSE?!?!?!!??!?!?!

Answers

Answer:

False

Step-by-step explanation:

Cause the graphs show false instead of being true

The answer is False!

HURRY !!!!

i need help with this question

Answers

the answer is 105:) for 2

Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real
number solutions does the equation have?
Discriminant = b2-4ac
0
1
2
12

Answers

The discriminant is greater than zero, the equation has 2 solutions

How to calculate the discrimant of quadratic equation

Given the quadratic expression as shown:

-x^4 + 4x + 1 + 3 = 0

x^4 - 4x - 4 = 0

The discriminant is given as b^2 - 4ac

where;

a = 1

b = -4

c = -4

Substitute

D =(-4)^2 - 4(1)(-4)

D = 16 + 16
D = 32

Since the discriminant is greater than zero, the equation has 2 solutions

Learn more on discriminant here; https://brainly.com/question/24730520

Answer: 2

Step-by-step explanation: got it right

a single serving of a cereal breakfast contains 18 grams of carbohydrates. this is 6% of the daily recommended allowance for 2000-calorie diet. how many grams of carbohydrates are recommended each day for a person on 2000 calorie diet.

Answers

Answer:

300g

Step-by-step explanation:

Given parameters:

Mass of carbohydrate in the cereal meal  = 18g

Unknown:

Grams of carbohydrate recommended each day = ?

Solution:

The 18grams of the carbohydrate is just 6% of the total carbohydrate need per day;

         6% x total carbohydrate recommendation  = 18

       [tex]\frac{6}{100}[/tex] x total carbohydrate  = 18

       Total carbohydrate = 18 x [tex]\frac{100}{6}[/tex]   = 300g

Answer:

The answer is 300 grams of carbs on a 2000-calorie diet!

Step-by-step explanation:

Mass = 18g

daily allowance: ???

6% x total carbohydrate recommendation  = 18

x total carbohydrate  = 18

Total carbohydrate = 18 x    = 300g on a 2000-calorie diet

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20​

Answers

Answer:

The expected value of lateness [tex]\frac{7}{20}[/tex] hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

Compute the expected value of lateness as follows:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

         [tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]

Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.

Expected value of lateness is  [tex]\frac{7}{20}[/tex] hours.

Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.

So, below a table is formed.

         x       0             1            2           3

      P(x)      4/5         1/10      1/20       1/20

From formula of expected value,

        E(x) = ∑ x P(x)

[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]

So, expected value of lateness is 7/20 hours.

Learn more:

https://brainly.com/question/23286309

Help plsssssssssssssssssssssss thanks so much

Answers

Answer:

Amelie drove 3/4 mile.She then drove another 8/9 mile. How many miles did she drive in all?

Step-by-step explanation:

What type of triangle can have one right angle?

Answers

Answer:

A right triangle and an isosceles

Step-by-step explanation:

A right triangle I think
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