AC = BC, <ACB = 40°, <AMN = 25° <CPM = ?​

AC = BC, &lt;ACB = 40, &lt;AMN = 25 &lt;CPM = ?

Answers

Answer 1

Answer:

∠ CPM  = 135°

Step-by-step explanation:

given AC = BC , then Δ ABC is isosceles with base angles congruent , then

∠ ABC = [tex]\frac{180-40}{2}[/tex] = [tex]\frac{140}{2}[/tex] = 70°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then

∠ AMN + ∠ BPM = ∠ ABC , that is

25° + ∠ BPM = 70° ( subtract 25° from both sides )

∠ BPM = 45°

∠ CPM and ∠ BPM are adjacent angles on a straight line and sum to 180°

∠ CPM + 45° = 180° ( subtract 45° from both sides )

∠ CPM = 135°


Related Questions

(12,-18),(7,-9) find the slope of this equation

Answers

Answer: 1.8

Step-by-step explanation:

(-18-(-9))/(12-7)=-9/5

Solve the system of equations using substitution
4x + 2y = 16
=−12+5

Answers

Answer:

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-\frac{1}{2}x+5[/tex]

[tex]\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

Isolate x for 3x+10=16(-1/2x+5): [tex]x=\frac{70}{11}[/tex]

[tex]\mathrm{For\:}y=-\frac{1}{2}x+5[/tex]

[tex]\mathrm{Substitute\:}x=\frac{70}{11}[/tex]

[tex]y=-\frac{1}{2}\cdot \frac{70}{11}+5[/tex]

[tex]-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}[/tex]

[tex]y=\frac{20}{11}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

change 6 to percentage.
-
25​

Answers

Answer:

24%

Step-by-step explanation:

6÷25×100

to find in percentage

Answer:

6 as a percent would be 0.06.

Step-by-step explanation:

100 as a percent is 1.00

90 as a percent is 0.90

hope this helps, and you have a better understanding of percentages. please rate and mark as brainlest

Which expression is a trinomial

Answers

Answer:

x + y - 13

Step-by-step explanation:

It has three terms, or numbers or variables

Answer:

option 1

Step-by-step explanation:

A expression that has 3 terms is called trinomial.

x + y - 13  -----> trinomial

What is angle P
I will mark you.

Answers

Angle P is an Acute Angle

Graph the linear equation find three points that solve the equation then plot on the graph x-4y=-18

Answers

Answer:x=-18/4y
Maybe it's the answer.

5r + 1/5)2 r=0 Yall the 2 mean squared

Answers

Answer:

So we want to divide  by .

The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:

- For our first fraction:

Now we can rewrite our first fraction:

- For our second fraction:

Now we can rewrite our second fraction:

Last but not least, we can express our division as a fraction and simplify:

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is:

Step-by-step explanation:

2x + 5 = 13
what is x

Answers

Answer:

x = 4

Step-by-step explanation:

it's important to keep in mind that you can do anything to an equation as long as you do it to both sides, and it will still be equal.

2x + 5 = 13

subtract 5 from both sides of the equation

2x + 5 -5 = 13 - 5

2x = 13 -5

2x = 8

divide both sides of the equation by 2

2x/2 = 8/2

x = 4

The value of x for the equation 2x + 5 = 13 is x = 4.

Given that:

There is an equation in x which is given as,

2x + 5 = 13

It is required to find the value of x.

That is, solve the equation.

It is required to get the equation in such a way that x is on one side and a constant on the other side.

2x + 5 = 13

Subtract both sides by 5.

2x = 8

Divide both sides by 2.

x = 4

Hence the value of x is 4.

Learn more about Equations here :

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The LCM of 4 and 7 is __.
Numerical Answers Expected!
Answer for Blank 1:

Answers

Answer:

28

Step-by-step explanation:

its ans may be 28 hope you will know

Answer:

28

Step-by-step explanation:

A randomly generated list of integers from 0 to 4 is being used to simulate an event with the numbers 1, 2, and 3 representing a success what is the estimated probability of a success
A. 60%
B. 40%
C. 75%
D. 25%

Answers

Answer:

60

%

Step-by-step explanation:

there are 5 possible events (01234)- there are 3 favorable outcomes (123)

so that's 3 out of 5 or  3/5 or 60%

The estimated probability of a success is  3/5 or 60%.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

We are given that randomly generated list of integers from 0 to 4 is being used to simulate an event with the numbers 1, 2, and 3 representing a success.

There are 5 possible events (01234)

There are 3 favorable outcomes (123)

Therefore, the estimated probability of a success are; 3 out of 5 or  3/5 or 60%

Learn more about probability here;

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Can anybody help me I’m giving 25 points plz plz plz help me

Answers

Answer:

Step 4 is wrong and so is Step 7

Step-by-step explanation:

In step 4, she would have had to add 8 to both sides.

In step 7, the answer is first of all, wrong, and second of all, it would have been negative 1. (if even 1)

x is supposed to equal -9

Hope I helped :)

Please consider Brainliest :)

Answer:

Step 3 is wrong and step 4 is wrong too.

Step four was she was supposed to ADD 8 not subtract. In step 3, ur not supposed to have 2 operators (ex: operators are division sign, multiplication, subtraction, and addition sign. )

Hope this helps :)

I have an equation
H (T) = -16 x T^2 + 64 x T
Please make a graph that represents this equation. If you want the whole problem, make a comment asking for it! 100 POINTS

Answers

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can graph your function nicely. See the attachment.

__

Additional comment

A spreadsheet can do this, too. However, that generally requires you compute a number of points on the graph.

A circle's radius is 15 centimeters.
What is the circle's circumference (use 3.14 for pi and round to nearest
tenth)?
Plzzzzzz help me

Answers

Answer:

use the formula for circumference

Step-by-step explanation:

Answer:

706.8 if rounded then its 706.9

What is the total area of the figure shown?

Type the correct answer in the box. Use numerals instead of words.

The total area of the figure is

square meters.

Answers

The total area of the figure = area of rectangle + area of triangle = 241 sq. m.

What is the Area of Rectangle and Triangle?Area of rectangle = length × widthArea of triangle = 1/2 × base × height

Thus:

Total area of the figure = area of rectangle + area of triangle

= length × width + 1/2 × base × height

Length = 12 mWidth = 9 mBase = 19 mHeight = 14 m

Total area of the figure = 12 × 9 + 1/2 × 19 × 14

Total area of the figure = 241 sq. m.

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Answer:

241 square meters

Step-by-step explanation:

edmentum/plato

According to the table, what is omar’s bank balance? $761.25 $810.30 $814.75 $1,186.25

Answers

The total remaining bank balance in the account of Omar after reducing all the debit and adding paycheck is $761.25

What do you mean by debit and credit amount?

The money which is paid from an account is called the debit amount and the money which is paid into an account is called the credit amount.

To know the remaining balance of account, all the debit amount is subtracted from it and all the credit amount is added into it.

The table for the Omar's transaction is attached below. The data given in the table is,

Pharmacy       - $15.20-DebitedRent                - $425.00-DebitedDinner             - $22.30-DebitedMovie Ticket  - $26.70-DebitedPay Check     - $1015.50-CreditedInitial Balance- $219.80

The initial balance is $219.80, and a pay check of $1015.50 is credited in his account. Thus, the total balance in his account without any debit is,

[tex]A_i=1015.50+219.80\\A_i=1253.30[/tex]

The total amount debited from the account of Omar is,

[tex]A_d=15.20+425.00+22.30+26.70\\A_d=474.05[/tex]

Thus, the total remaining amount in his account is,

[tex]A=1253.3-474.05\\A=761.25[/tex]

Hence, the total remaining bank balance in the account of Omar after reducing all the debit and adding paycheck is $761.25

Learn more about the debit and credit amount here

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Answer:

$761.25

Step-by-step explanation:

took the quiz on edge

carlos has 12 hours of homework for his 4 classes. What is the homework time to class unit rate

Answers

3 hours per class is what I believe to be the correct answer

Someone please help me on this.

Answers

Answer:

[tex]36n^2+12n+1[/tex]

Step-by-step explanation:

Foil the equation!

1. You see that is to the second power so it means this [tex](6n+1)*(6n+1)[/tex]

2. Then you use the Foil method. First, Outside, Inside, and Last.

3. Combined like terms

4. Answer!

A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)

1. Multiply the first number by itself = [tex]6n *6n = 36n^2[/tex]

2. Add the first number by itself = [tex]6n+6n = 12n[/tex]

3. Multiply the last number by itself = [tex]1*1 =1[/tex]

4. Combined to form your answer = [tex]36n^2+12n+1[/tex]

NOTE: This is the same thing as a foil but it uses mental math so it takes less time!

Mrs. Martin made 15 gallons of
sweet tea for a celebration. How many
quarts of sweet tea did Mrs. Martin
make?

Answers

Answer:

60 US Quarts

Step-by-step explanation:

15 gallons = 60 US Quarts

Answer:

60 US QUARTS

Step-by-step explanation:

Since, 1 gallon = 4 US QUARTS

15 gallons = x

Therefore, 15 gallons × 4 US QUARTS / 1 gallon

= 60 US QUARTS

15b+5b+12+12b
simplified

Answers

Answer: 49B

Step-by-step explanation: Its the right answer

Answer:

32b + 12

Step-by-step explanation:

Add up all the values with b in them, so 15 + 5 + 12 = 32. Then, add the whole number. Your simplified answer should be 32b + 12.

Hopefully this helps- let me know if you have any questions!

is this relation a function? justify you answer. ​

Answers

Answer:

Yes

Step-by-step explanation:

If you perform the vertical line test, each row where there is a point only gets hit once, if it got hit twice it would not be a function.

Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place? A. a reflection across the line y = x followed by a reflection across the line y = -x B. a reflection across the x-axis followed by a reflection across the y-axis C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x D. a reflection across the y-axis followed by a reflection across the x-axis

Answers

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

Answer:

C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x

Step-by-step explanation:

Let us assume that the coordinate of A in triangle ABC is A(x, y)

A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).

If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)

B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).

If a reflection across the line y axis is then done, the new coordinate is at

A"(-x, -y)

C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).

If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)

D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).

If a reflection across the line x axis is then done, the new coordinate is at

A"(-x, -y)

Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'

Round Off 26895 to 1 significant figure

Answers

Answer:

30000 or 3×10^4

Step-by-step explanation:

both are right it depends on what ur teacher prefers. but they both mean the same thing and have 1 sig fig

A karate school offers a package of 12 group lessons and 2 private lessons for $110. It also offers a package of 10 group lessons and 3 private lessons for $125. Write and solve a system of equations to find the cost of a single group lesson and a single private lesson.

Answers

Answer: The cost of a single group lesson is $5 and a single private lesson is $25

Step-by-step explanation:

Let the cost of a single group lesson be y.

Let the cost of a single private lesson be z.

A karate school offers a package of 12 group lessons and 2 private lessons for $110. This can be written as:

12y + 2z = 110 ..... equation i

It also offers a package of 10 group lessons and 3 private lessons for $125. This can be written as:

10y + 3z = 125 ...... equation ii

Combining equation i and ii

12y + 2z = 110 ..... equation i

10y + 3z = 125 ...... equation ii

12y + 2z = 110 × (3)

10y + 3z = 125 × (2)

36y + 6z = 330 ....... equation iii

20y + 6z = 250 ...... equation iv

Subtract equation iv from iii

16y = 80

y = 80/16

y = 5

From equation ii

10y + 3z = 125

10(5) + 3z = 125

50 + 3z = 125

3z = 125 - 50

3z = 75

z = 75/3

z = 25

The cost of a single group lesson is $5 and a single private lesson is $25

A group lesson costs = $5.

A private lesson costs = $25.

Let a group lesson costs = $x

A private lesson costs = $y.

According to the question:

12x + 2y = 110

10x + 3y = 125

Solving them we get x = 5, y = 25

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Fill in what’s missing from the chart. Remember, graphing means to plot the values in your table.

FIRST ROW SECOND ROW THIRD
FUNCTION. TABLE. GRAPH.

Answers

Answer:

(for the second one)

y = 4x + 10

solution:

so first you have to find the slope, there is an equation for it. it is y2 - y1/ x2 - x1 or just y1 - y2/ x1 - x2 . so input the easiest points. id say f(0) and f(1)

so it will look like

2 - 6/0 - 1

-4/-1

4

so you can now write the equation as

y = 4x + b

now you have to find the y-intercept so input a point. i dont think you should input a point you used to find the slope because you could have made a mistake calculating so lets input f(2)

sooo

18 = 4(2) + b

18 = 8 + b

b = 10

so the function for the second one is y = 4x + 10

[tex]\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\bf x} &\boxed{\bf y} \\ \sf -1 &\sf 1.5 \\ \sf 0 &\sf 3\\ 1 &\sf 6 \\ \sf 2 &12\end{array}}\end{gathered}[/tex]

Plug in x values in the equation y = 3(2)^x

Graph plotted below:

Please write the proof out for the Geometry problem

Answers

Answer:

Reason-GivenStatement- Angle AEC is congruent to Angle DEB. Reason- Vertical Angles TheoremStatement- Sides AE=DE, Side CE=BEReason- SAS Congruent Triangles Theorem

Step-by-step explanation:

The vertical angles theorem states that when two straight lines intersect, they form two sets of linear pairs with congruent angles.

A midpoint divides a line into 2 congruent segments.

The SAS Theorem states that if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

Solve for n.
n + 1 = 4(n - 8)
n = 1
O n = 8
ОО ОО
n = 11
n = 16

Answers

Answer:

n=11

The first step is to use distributive property on the right side of the equation. Hope that helps

please solve the following math problem

Answers

Answer:

Stretch

Step-by-step explanation:

lol no such thing as stretch theres only reflection, translation, and rotation

A line segment has endpoints (−3,−14) and (7,6) Which point could partition the line segment into the ratio 1:4?

Answers

m:n=1:4

[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{(1)(-14)+(4)(-3)}{1+4},\dfrac{(1)(7)+(4)(6)}{1+4}\right)[/tex]

[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{-26}{5},\dfrac{31}{5}\right)[/tex]

Anastasia put a bowl under a leaking pipe in her kitchen. After 2 1/4 hours Anastasia had collected 1/2 cup of watwe. What is the rate, in cups per hour, at which the water was leaking from the pipe?

Answers

B because if u do 2 1/4 and 1/2 together u get the answer b

One piece of wheat bread contains 2 g of fiber or 8% of the amount of fiber that most people need in a day. What is 8% written and decimal and fraction?

Answers

8% written and decimal and fraction are 0.08 and 2/25 respectively

Writing percentage in decimal form

Given the percentage of fiber expressed as 8 %

We are to write 8% in both decimal and fraction form

Decimal form of 8% is 0.08

Fractional form of 8% = 8/100 = 2/25

Hence 8% written and decimal and fraction are 0.08 and 2/25 respectively

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