Look at the figure below. Which of the following statements could be a step in a proof that vertical
angles are congruent?
APC = DPB because angles formed by the
same pair of intersecting lines are congruent to each
other.
ZAPC ZDPB because angles complementary
to the same angle are congruent to each other.
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
ZAPC ZDPB because angles supplementary to
the same angle are congruent to each other.

Answers

Answer 1

Answer:

ZAPC ZDPB because angles adjacent to the

same angle are congruent to each other.

Step-by-step explanation:


Related Questions

Of the 800 particapants in a marthon, 120 are running to raise money for a cause. How many particpants out of 100 are running for a cause?

Answers

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

Find the value of x. Will mark brainliest.

Answers

Answer:

x = 8

Step-by-step explanation:

Help asap please ! Please explain too

Answers

Answer:

D) 35

Step-by-step explanation:

angles that are opposite are equal, so the 45 degree angles is in th triangle too. angles on a straight lines are equal to 180, so 180 - 80 = 100.

So far we have two of the angles, 100+45=145

Angles in a triangle are equal to 180, so 180-145 =35

vertically opposite angles are the same, so the ? is 35 degrees

Hope that helps

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Area =

(OK I NEED HELP AGAIN)

Answers

Answer:

[tex]\huge\boxed{A=x^2+12x+35}[/tex]

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A=lw[/tex]

l - length

w - width

We have

[tex]l=x+7\\\\w=x+5[/tex]

Substitute:

[tex]A=(x+7)(x+5)[/tex]

Use FOIL (a + b)(c + d) = ac + ad + bc + bd

[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35[/tex]

combine like terms

[tex]A=x^2+(5x+7x)+35\\\\A=x^2+12x+35[/tex]

What fraction is equivalent to –2/3

Answers

Answer:

-2/3 or -4/6

Step-by-step explanation:

the same number.

(a - b)(a2 + ab + b2)

Answers

The answer is 2a^2+a^2b-ab^2-2b^2

Which number is divisible by 3?
A 137
B 136
C 138
D 41

Answers

Answer:

C (148)

Step-by-step explanation:

All numbers divisible by 3:

The numbers equal to something divisible by 3

ex:

138=

1+3+8= 12 which is divisible by 3, so 138 is divisible by 3

Answer:

138

Step-by-step explanation:

We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.

SOMEONE PLEASEEE HELP!!!

Answers

Answer:

the answeis A 6+10

Step-by-step explanation:

We have three pairs of faces, two 2×3, two 2×5, two 3×5

A = 2 ( 2×3 + 2×5 + 3×5 )

You didn't show us the choices.

Look for something like that.

Answer: 2 ( 2×3 + 2×5 + 3×5 )

18.4= y-13 I have to solve for y

Answers

Answer:

y=31.4

Step-by-step explanation: Just add 18.4 to 13.

Answer:

y=31.4

Step-by-step explanation:

18.4+13

Write a quadratic function with a vertex at (-9,13).

Answers

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

y = (x+9)^2+ 13

Hope that helps.

After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?

Answers

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

I need an explanation step by step for this question. Thx

Answers

Answer:

1:5, 5, 15

Step-by-step explanation:

The original ratio of red marbles to white marbles is 6:30 and you need to know how many white marbles are expected with 3 red marbles so you have to make the # of red marbles 3 so you can divide by 2 and you'll get 15 white marble or you could've divided both sides by 6 and get the ratio of red marbles to white marbles as 1:5 and you can see that for every one red marble there is 5 white marbles.

Construct an x chart.


UCL = 12.500; LCL = 11.500


UCL = 12.017; LCL = 11.793


UCL = 12.280; LCL = 11.610


UCL = 12.375; LCL = 11.575

Answers

Answer:

or Six Sigma Quality, one can fit 6 Sigmas between UCL and LCL.

6 Sigmas can be fit between upper control limit and lower control limit.

It is a statistical process that is used to determine if the process is stable and in control or not.

Standard deviation function is the easiest way to know whether the product would be faulty or not.

Step-by-step explanation:

here is your answer let me know when you get it right and please rate me the brsainlest

please help me out brainliest for best

Answers

Answer:

A. 5^4 / 11^16

Explanation:

multiply the exponents

if you multiply the exponents, you will get a as an answer. so A is the answer.

Find the area. Will mark brainliest.

Answers

Answer:

a = 70

Step-by-step explanation:

a = h * b / 2

a = 10 * 14 / 2

a = 140/2

a = 70

What is the range for this data set?
37 years
9 years
41 years​

Answers

Answer:

30 years

Step-by-step explanation:

41 minus 11=

Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is .

The probability that 3 out of the next 5 voters approving the proposal is

Answers

Answer:

Probability that 3 out of the next 5 voters approving the proposal is 0.3125.

Step-by-step explanation:

We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]

where, n = number of trials (samples) taken = 5

            r = number of success = exactly 3

            p = probability of success which in our question is probability of

                  the voters approving the proposal, i.e; p = 50%

Let X = Number of voters approving the proposal

So, X ~ Binom(n = 5 , p = 0.50)

Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)

               P(X = 3)  =  [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]

                              =  [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]

                              =  0.3125

14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.

Answers

Answer: 0.34

Step-by-step explanation:

From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.

If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions

= 20/34 × 19/33

= 380/1122

= 0.34

Triangle ABC is a right triangle. The legs of the triangle are AB = 6 cm and BC = 12 cm. Find the measure of angle A.

Answers

Answer:

63.4°

Step-by-step explanation:

Given that AB and BC are the legs of the right triangle, then opposite to angle A is side BC and adjacent to angle A is side AB.

By definition, the tangent of angle A is:

tan(∠A) = opposite leg / adjacent leg

tan(∠A) = BC/AB

tan(∠A) = 12/6

∠A = arctan(2)

∠A = 63.4°

2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2

Answers

B!!! Explanation: just took the test

Two adjacent angles that make a straight line are called a_________

Answers

Hi there!


The answer would be supplementary angles.

Hope this helps!

The angles that make a straight line are called linear pair of angles.

What is linear pair?A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary, which means their measures add up to 180 degrees.

Given are two adjacent angles.

Two adjacent angles that make a straight line are called linear pair of angles.

Therefore, the angles that make a straight line are called linear pair of angles.

To solve more questions on angles, visit the link below -

brainly.com/question/15373309

#SPJ2

2x + 3 = x - 4
what is the answer ​

Answers

So the right answer is -7.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

2x+3 = x-4

Step-by-step explanation:

X = -7

2 x -7 + 3 = -11

-7 - 4 = -11

Therefore, X is -7 since both sides are equivalent and equal to -11

Help ASAP please and explain tooo

Answers

Answer:

A not similar

Step-by-step explanation:

These triangles are not similar

<K would have to equal either angle E or D since angle F equals angle F

E = 50 and D = 58   and K = 49 so K does no equal E or D so they cannot be similar

Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

Answer:

86

Step-by-step explanation:

the radius of one circle is 5. the area of a circle is pi x r^2. 5 times 5 is 25. 25 times 3.14 is 78.5. since there are 4 circles, you must multiply 78.5 by 4, which is 314. Next, find the area of the square. 20 times 20 is 400. to find the area of the shaded part, subtract 314 from 400. The answer is 86.

It costs Trevor $50 to have a security system installed in his house. He pays a monthly service fee plus tax of 6% of his monthly bill. After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation. Trevor’s monthly service fee, not including taxes, is ___.

Answers

Answer:

$49

Step-by-step explanation:

Cost of security system installation = $50

Let the monthly service cost be $x

In 6 month monthly service cost = 6*$x= $6x

tax percentage = 6% of monthly service  cost

hence if monthly service cost is $x

Then Tax value in terms of x is =   6% of  $x  = 6/100 * $x =$ 0.06x

In 6 month, Tax value in terms of x  = 6 * $0.06x = $.36x

_______________________________________________

Therefore total cost incurred by Trevor in 6 month including installation charges =

6 month monthly service cost + Tax value in 6 month + installation cost

Substituting value of 6 month monthly service cost , Tax value in 6 month , installation cost in above expression we have

Therefore total cost incurred by Trevor in 6 month including installation charges = $6x+  $0.36x+ $50 = $6.36x + $50

But it is given that After 6 months, Trevor had paid a total of $361.64 for his service fee, taxes, and his initial installation

Therefore total cost incurred by Trevor in 6 month including installation charges  is also equal to $361.64

Hence,

$6.36x + $50 = $361.64

=> $6.36x = $361.64 - $50

=>$6.36x = $311.64

=> x = $311.64/6.36

=> x = 49.

Therefore , Trevor’s monthly service fee, not including taxes is $X which is equal to $49.

Identify the different methods used by the U.S. to deal with international 100 points
conflicts. Cite evidence from the lesson activities to explain each
method. *​

Answers

I don’t know im not really Sure

A set of art exam scores are normally distributed with a mean of 81 points and a standard deviation of 10
points. Kamil got a score of 78 points on the exam.
What proportion of exam scores are lower than Kamil's score?
You may round your answer to four decimal places.

Answers

Answer: 0.3821

Step-by-step explanation: 0.3821 of exam scores are below Kamil’s score

Answer: 0.3821

Step-by-step explanation:

A tea set was bought for $ 328, if a discount of 12% is offered on the price. Find the price of the tea set.

Answers

288.64

this is the real answer the last one was a mistake

I need help with this:(

Answers

I think its symmetrical


Find the area and the circumference of a circle with a diameter of 17cm

Answers

Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

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