Quadrilateral DEFG is a rhombus and m value of p

Quadrilateral DEFG Is A Rhombus And Mvalue Of P

Answers

Answer 1
Solution:Note that:Opposite angles are always equal.The sum of the degrees in a quadrilateral is 360°This means that:∠F = ∠D = 62°∠E = ∠G = 5p + 49∠F + ∠D + ∠E + ∠G = 360Solving for p.∠F + ∠D + ∠E + ∠G = 360=> 62 + 62 + 5p + 49 + 5p + 49 = 360=> p(5 + 5) + (62 + 62 + 49 + 49) = 360=> p(10) + (222) = 360=> 10p + 222 = 360=> 10p = 360 - 222=> 10p = 138=> 10p/10 = 138/10=> p = 13.8Check:∠E = ∠G = 5p + 49=> ∠E = ∠G = 5(13.8) + 49=> ∠E = ∠G = 69 + 49=> ∠E = ∠G = 118°=> ∠F + ∠D + ∠E + ∠G = 360=> 62 + 62 + 118 + 118 = 360=> 360 = 360 (True)


Related Questions

As Program Director of a Radio Station, you receive a report from an independent service that shows that out of 100 songs played, the same song was played 7 times. Using the Empirical Approach, calculate the probability that song will be played next.

Answers

Using an Empirical approach and the probability concept, it is found that there is a 7% probability that song will be played next.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes. Using an Empirical approach, these number of outcomes are taken from previous trials.

In this problem, considering the previous 100 songs, the same song was played 7 times, hence:

p = 7/100 = 0.07.

There is a 7% probability that song will be played next.

More can be learned about probabilities at https://brainly.com/question/14398287

How do you simplify without using a calculator (-5)(7)+4×5​

Answers

Answer:

-15 Is the answer

Step-by-step explanation:

(-5)(7)+4×5​

= -15

(-5)(7) + 4×5 = -15/1 = -15

Multiple: -5 * 7 = -35

Multiple: 4 * 5 = 20

Add: the result of step No. 1 + the result of step No. 2 = -35 + 20 = -15

Hope this helps.

3(x-6)-8x+-2+5(2x +1)

Answers

Answer:

See below.

Step-by-step explanation:

3x-18-8x-2+10x+5

Combine like terms.

3x-8x+10x

5x

-18-2+5

-15

5x-15

-hope it helps

Find tan(a-b)
sin a=4/5
tan b=3/4
Give the exact answer, not a decimal approximation.

Answers

Answer: 0.2916666665

Step-by-step explanation:

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know

[tex]\cos^2a=1-\sin^2a[/tex].

With this, we can find [tex]\cos a[/tex] by plugging in what we know for [tex]\sin a[/tex]:

[tex]\cos^2a=1-(\frac{4}{5})^2\\~~~~~~~~=1-\frac{16}{25}\\~~~~~~~~=\frac{9}{25}[/tex].

Taking the square root, we get

[tex]\cos a=\frac{3}{5}[/tex] .

Note: there seems to be a problem with the question? It doesn't specify what range [tex]a[/tex] lies in, so we don't know whether [tex]\cos a[/tex] is positive or negative. In this case, I assumed it was positive.

From this, we can find [tex]\tan a[/tex]:

[tex]\tan a=\frac{\sin a}{\cos a}\\~~~~~~~=\dfrac{\frac{4}{5}}{\frac{3}{5}},[/tex]

so [tex]\tan a=\frac{4}{3}[/tex].

Using the [tex]\tan[/tex] difference formula, we know

[tex]\tan (a-b)=\dfrac{\tan a -\tan b}{1+\tan a\tan b}[/tex] .

Plugging in the values we know for [tex]\tan a[/tex] and [tex]\tan b[/tex], we get

[tex]\tan(a-b)=\dfrac{\frac{4}{3}-\frac{3}{4}}{1+\frac{4}{3}\cdot\frac{3}{4}}\\~~~~~~~~~~~~~~=\dfrac{\frac{7}{12}}{1+1}\\~~~~~~~~~~~~~~=\boxed{\frac{7}{24}}~.[/tex]

2. An expression is shown below.
2V43x
Which value of x makes the expression
equivalent to 14V43?
A.7
B.12
C.49
D.98

Answers

The answer is B12 hope this helped

Do not know what the problem is meaning

Answers

Answer:

its b

Step-by-step explanation:

helppp please please helpppp

Answers

ANSWER is 5v+2b=117
Explanation i just know

NO LINKS!!! Solve each triangle. Part 1a​

Answers

Answer:

13) C= 95°, a= 0.157, c= 9.86

14) C= 165°, a= 3.35, b= 1.68

15) A= 40°, a= 2, c= 3.06

16) C= 50°, a= 11.8, c= 9.19

Step-by-step explanation:

Please see the attached pictures for the full solution.

Note:

sine rule

[tex] \textcolor{steelblue}{\boxed{{\frac{ \sin A}{a} = \frac{ \sin B }{b} = \frac{ \sin C}{c} }}}[/tex]

∠ sum of ∆

The sum of the angles in a triangle is 180°.

help me please I need it quick

Answers

Answer:

it's f(n)= 2n^2+1

Step-by-step explanation:

the blocks are shaped 3,8,15 boxes

because 8-3= 5 and 15-8=7

so there's an addition of 2

thirty two thousand six hundred and sixty seven in numbers​

Answers

32,667 that will be in numbers

Answer:

32,667

30,000+2,000+600+60+7

whats a^2=4/25 in square root form

Answers

Answer:

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Step-by-step explanation:

[tex]a^{2} =\frac{4}{25}[/tex]

[tex]\sqrt{a^{2} } =\sqrt{\frac{4}{25} } \\|a|=\sqrt{\frac{4}{25} \\[/tex]

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Use the circle below to answer the question.
Q
R
680
Р
C
S
The Circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?

Answers

The measure of angle QPS in circle C is 112°

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.

From the circle:

PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°

∠PQR + 68 = 180

∠PQR = 112°

Also, PS =  QR (from the endpoint of  the diameter), hence:

∠QPS = ∠PQR = 112°

The measure of angle QPS in circle C is 112°

Find out more on circle at: https://brainly.com/question/24375372

Add and Subtract Decimals
Use the models to solve each equation. Match the letter of each
problem to the corresponding space below to answer the following
riddle.
The more of them you take, the more you leave behind.
What are they?

Answers

There are no pictures provided.

( Talking about the models )

determine the equation of a line that is parallel to the line 2x-3y=12 and passes through the point with coordinates (9,0)

Answers

Answer:

5x + 24y =45. (9,0)

5×9 +24×0 = 45

45 =45

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please please please please please please

An instructor wants to create a test that has true-false questions, multiple-choice questions,
and essay questions. He wants the test to have 35 questions, with twice as many multiple-choice
questions as essay questions and with twice as many true-false questions as multiple-choice
questions.
(i). Write a system of equations to represent this problem.
(ii). Hence or otherwise, determine how many of each type of question should the
instructor put on the test?

Answers

Let x = multiple choice, y = true/false, z = essay

(i)

where: x + y + z = 35

We need to solve for y first, in order to know how many essay questions there are, since that is our base.

y + 2y + 4y = 35

(ii)

Now to solve:

y + 2y + 4y = 35

7y = 35

[tex]\frac{7y}{y} = \frac{35}{7}[/tex]

y = 5

Therefore, there are 5 essay questions, 10 multiple choice questions, and 20 true/false questions.

10 + 5 + 20 = 35

The equation of the system will be x + y + z = 35 and the number of each type of question should the instructor put on the test will be 5.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

An instructor wants to create a test that has true-false questions, multiple-choice questions, and essay questions.

Let x be the number of essay questions.

Let y be the number of multiple-choice questions.

Let z be the number of true-false questions.

He wants the test to have 35 questions, with twice as many multiple-choice questions as essay questions and with twice as many true-false questions as multiple-choice questions.

x = 2y

z = 4y

1.  Then the equation of the system will be

x + y + z = 35

Then we have

2.  Then the number of each type of question should the instructor put on the test will be

y + 2y + 4y = 35

               y = 5

More about the linear system link is given below.

https://brainly.com/question/20379472

Hello can someone please answer this question i will mark you the Brainliest

Answers

Answer:

155 cm2

Step-by-step explanation:

You invest 1,000 in one account and 4,000 in another, both accounts have the same interest rate over the same amount of time. How will the interest earned compare?

Answers

Answer:

the $4000 WILL EARN 4 TIMES THE AMOUNT OF INTEREST.

Step-by-step explanation:

If both investments have same interest they will grow in the same proportion that the initial amount have.

HELP PLS!

Susan's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Susan's bank hold?

Answers

Answer:

390 pennies that susan is holding

Answer:

3/4x-280=x/2

-3/4x-280=x/2 find the common factor for 3/4x-280/1 which is 4 3/4x-280/1 3xby

URGENT! WILL GIVE BRAINLY FOR CORRECT ANSWER
Draw the image of \triangle ABC triangle, A, B, C under a dilation whose center is P and scale factor is 2.

Answers

can u show a related picture please!

Every morning Jessica drinks one fifth of a quart of orange juice how many mornings would Jaze have oranges for if she only has a total of one and 4/5 quarts of orange juice

Answers

Answer:

9 more mornings Jessica can drink orange juice

Step-by-step explanation:

1 4/5 = 1/5x

9/5  = 1/5 (divided below)

1/5       1/5

9/5  divided 1/5 = x

x = 9/5 x 5/1 = 45/5

45/5 divide by 5 = 9/1

long division and you get 9

hope this helps!

Answer:

The answer is 9

Step-by-step explanation:

Lily is going to invest in an account paying an interest rate of 5.6% compounded continuously. How much would Lily need to invest, to the nearest cent, for the value of the account to reach $78,000 in 9 years?

Answers

the answer is x=47766.05

Which equation, when solved, results in a different value of x than the other three?
8.3=−0.6x+11.3
8 point 3 is equal to negative 0 point 6 x plus 11 point 3
11.3=8.3+0.6x
11 point 3 is equal to 8 point 3 plus 0 point 6 x
11.3−0.6x=8.3
11 point 3 minus 0 point 6 x is equal to 8 point 3
8.3−0.6x=11.3
8 point 3 minus 0 point 6 x is equal to 11 point 3

Answers

Answer:

i think it might be c

Step-by-step explanation:

tell me if its wrong or not and brain list please

Peter is the owner of a hotel. He has found that when he charges the nightly cost of $139, the average occupancy is 275. In addition, Peter has found that with every $10 increase in the average nightly cost, the hotel occupancy decreases by an average of 22.

Which of the following functions describes the hotel's profit in terms of x, the number of $10 increases over $139?

Answers

Answer:

Without price increase, Cost/night = $119

Average occupancy = 372 The revenue will be 119*372 = $44,268

For every $15 price increase, the occupancy decreases by 25. Therefore with x price increases, The revenue will be $(119 + 15x)*(372 25x)

Cost/night = $119 + 15x Occupancy = 372 - 25x

Answer:

The nightly cost with x $15 price increases is $119 + 15x.

Question: find an equation of a parabola that satisfies the given condition

Problem: horizontal axis; vertex (-1,2) passing through (2,3)

Answers

Final Ans : y = 1/9(x + 1)^2 +2

Explanation:

Given
Vertex (-1,2) and passes (2,3)
The General equation of a parabola is
y = a(x - h)^2 + k
So, y = a(x+1)^2 +2
still now we need to find (a)

by the second point (2,3)
we have 3=a(2+1)^2 + 2
3= 9a +2
a = 1/9

Therefore the final answer is
y = 1/9(x + 1)^2 +2

Good Luck.

here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct​

Answers

Answer:

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

The Jackson family drink 4.5 liters of milk each week. If they continue to drink milk at the same rate, how long will it take the Jackson family to drink 49.5 liters of milk?

Answers

If each week they drink 4.5 liters of milk, you can simply find out how long it will take them to drink 49.5 liters by dividing 49.5/4.5 which would give you 11 weeks.

It would take the Jackson family 11 weeks to drink 49.5 liters of milk.

Help with number 4 please

Answers

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

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please please please please please please

25 percent of what is 38?

Answers

Answer: 152

Step-by-step explanation:

Let the number = x.

Therefore, x*25% = 38

25% as a decimal is 0.25.

So, 0.25x = 38

We can divide both sides by 0.25:

x = 152

How do you write 48,600,000 in scientific notation?

Answers

Answer:

4.86·10⁷

Step-by-step explanation:

Answer:

4.86 x10^7

Step-by-step explanation:

1. Must be between 1 and 10, the number cannot be 10.

2. Count decimal places to get to the dot.

3. That will be the power at the top of the 10.

4. If number is small, that power will be negative, but positive if number is big. E.g. 0.0001 (small) & 10000 (big)

4.86 x10^7

Hope this helps!

Find the measure of the angle marked with a guestion mark using inverse trig
functions. Round your answer to the nearest degree, Enter the number only,

Answers

Answer:

37°

Step-by-step explanation:

1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)

2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse

3. Substitute in the values: cos (?) = 4 ÷ 5

4. Simplify: cos (?) = 0.8

5.  Type this into a calculator to find ?:  [tex]cos^{-1}(0.8)[/tex]

? = 36.86989... ≈ 37°

Hope this helps!

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