In pentagon ABCDE, A = 87º, B = 1250, C = 63º, and E = 95º. Find
D.
A. 160
B. 169
C. 170
D 530​

Answers

Answer 1

Answer:

[tex]D = 170\º[/tex]

Step-by-step explanation:

Given

Shape: Pentagon

[tex]A = 87\º[/tex]

[tex]B = 125\º[/tex]

[tex]C = 63\º[/tex]

[tex]E = 95\º[/tex]

Required

Find D

From the sum of angles in a Pentagon; we have that

[tex]A + B + C + D + E = 540[/tex]

Substitute values for A, B, C and E

[tex]87\º + 125\º + 63\º + D + 95\º = 540\º[/tex]

Collect Like Terms

[tex]87\º + 125\º + 63\º + 95\º + D = 540\º[/tex]

[tex]370\º + D = 540\º[/tex]

Collect Like Terms

[tex]D = 540\º - 370\º[/tex]

[tex]D = 170\º[/tex]

Hence, from the list of given options, the correct answer is 170


Related Questions

Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm the bottom of the cylinder is 4cm so whats the volume of it?

Answers

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

[tex]V=\pi r^2h[/tex]

Where, r = radius

h = height

Put the value into the formula

[tex]V=\pi\times(2)^2\times13[/tex]

[tex]V=163.3\ cm^3[/tex]

Hence, The volume of the cylinder is 163.3 cm³.

Please help!!!
Simplify: (sin 0 - cos 0)2 + (sin 0 + cos 0)2 (5 points)
Select one:
a. 1
b. 2
c. sin^2theta
d. cos^2theta

Answers

Answer:

B

Step-by-step explanation:

(To save time, I'm going to use x instead of θ)

So we have the expression:

[tex](\sin(x)-\cos(x))^2+(\sin(x)+\cos(x))^2[/tex]

First, expand these binomials:

[tex]=(\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x))+(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))[/tex]

Combine like terms:

[tex]=\sin^2(x)+\sin^2(x)+\cos^2(x)+\cos^2(x)-2\sin(x)\cos(x)+2\sin(x)\cos(x)\\=2\sin^2(x)+2\cos^2(x)[/tex]

Factor out a 2:

[tex]=2(\sin^2(x)+\cos^2(x))[/tex]

The expression inside the parentheses is the Pythagorean Identity:

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

Substitute:

[tex]=2(1)\\=2[/tex]

The answer is B.

The chess club has 18 students. How many different teams of 4 can be formed for competition?

A. 3,060

B. 18,360

C. 73,440

Answers

A is your answer have a nice day

The number of 3060 teams of 4 can be formed for competition.

The correct answer is A.

What is a combination?

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Given:

The chess club has 18 students.

To find the number of combination of teams of 4 can be formed for competition:

¹⁸C₄

Solving the combination,

¹⁸C₄

= 18! / 4! x (18-4)!

= 18! / 4! x 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2 x 1

= 3060

Therefore, the number of teams are, 3060

To learn more about the combination;

https://brainly.com/question/29594894

#SPJ5

Las dos compañías cobran el mismo precio por viaje, cada viaje vale $100.00 pesos, los pobladores dicen que uno de los camiones tiene una capacidad de 3 toneladas y el otro de 4 toneladas, en total se hicieron 23 viajes y se transportaron 80 toneladas de tierra.

Answers

Huh I'm confused I'll try & translate

look at the image to get ur question thank u for ansering

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-3}{-1-0}[/tex] = [tex]\frac{-3}{-1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Harley is trying to save $25,000 to put a down payment on a condominium. if she starts with $10,000 saved and saves in additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? X stand for months and Y stand for dollars.

Answers

Answer:

10,000+750x=25,000

Step-by-step explanation:

This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x

help me please pelase please

Answers

Add one float bc the submarine needs to go up one to reach the fish

Pls halp is due today >_<. Thank you

Answers

Answer:

The square root of 38.

Step-by-step explanation:

The square root of 38 is about 6.16.

The square root of 35 is about 5.91.

The square root of 45 is about 6.70.

The square root of 48 is about 6.92,

So the most reasonable one is the square root of 38, since it is much closer to 6.

what is this supposed to be bro pls help

Answers

Answer: 1

Step-by-step explanation:

so i put the amount of flour to servings into ratios (fractions)

28:14

9:12

10:13

then I put them into the same denominators

2184:1092

819/1092

840/1092

the first one is the greatest

calculate the area of the shaded region in each figure. use 3.14 for π and round to the nearest 10th if nessary​

Answers

Answer:

7.6 cm²

Step-by-step explanation:

Area of rectangle= l x w

3 x 4 = 12 cm

Area of circle= πr²

π x 2.5²= 19.625

Area of shaded= Area of circle - area of rec

19.625- 12= 7.625 cm²

≈7.6

I HOPE THIS HELPED

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



When and , the value of the expression is

Answers

Answer:

-2, 6

Step-by-step explanation:

(x - 6)(x + 2) = 0

x - 6 = 0     x+ 2 = 0

  x = 6           x = -2  

The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.

solve for y. -y/3 = -23 simplify your answer as much as possible

Answers

Answer:

69

Step-by-step explanation:

-y/3 = -23

=> -y = -23 x 3

=> -y = -69

=> y = 69

Answer:

69

Step-by-step explanation:

We multiply both sides of the equation by 3 to cancel out the denominator. That gives us -y=-69. Since we cannot have a negative variable, we change the values on both sides, giving us y=69

HELP ME PLEASE The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet

Answers

Answer:

Length = 3.2feets ; width = 6feets

Step-by-step explanation:

Given the following :

Actual dimension of Mural:

8feets by 15feets

Scale drawing ratio of Mural :

2feets : 5feets

This means :

2 Feets on paper equals 5 Feets of actual drawing:

Therefore, with actual dimension of Length = 8feets ;

Length of scale drawing = (2/5) * 8 = 3.2feets

Actual dimension of width 15feets ;

Width of scale drawing = (2/5) * 15 = 6 Feets

A movie theater conducted a survey to see what customers preferred at the concession stand. The theater asked every fifth person who entered the movie theater every Friday for a month what his or her favorite movie snack was. Were the results of the survey valid? A. No, because the theater did not survey everyone in the theater. B. Yes, because the theater only surveyed children. C. Yes, because the theater surveyed a random sample. D. No, because the theater did not use a random sample.

Answers

Answer:

A) No because the theater did not survey everyone in the theater.

Answer:

Yes, because the theater surveyed a random sample.

Step-by-step explanation:

The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.

Which of the variable expressions below is a trinomial with a constant term? A. 3x5 – 2x3 B. x5 – 3x2 + 5x C. 7x6 + 2x4 – x3 + 7 D. 4x2 – 3 + x3

Answers

Answer:

Option (D)

Step-by-step explanation:

Option (A).

3x⁵ - 2x³

There are two terms with the variable 'x' in the given expression. therefore, it's a binomial with no constant term.

Option (B).

x⁵ - 3x² + 5x

This expression has three terms with variable 'x'.

Therefore, it's a trinomial without no constant term.

Option (C).

7x⁶ + 2x⁴ - x³ + 7

It's a quadrinomial having 4 terms. '7' is the constant term in the given expression.

Option (D).

4x² + x³ - 3 ≈ x³ + 4x² - 3

It's a trinomial with a constant term 3.

Therefore, Option (D) is the answer.

i need help with this question please :(

Answers

Answer:

C

Step-by-step explanation:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]

Use the Power of a Product Property, where:

[tex](ab)^n=a^nb^n[/tex]

Therefore:

[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]

A survey asked students at Wilson Academy which status they would prefer—to be happy, healthy, or rich—and how much pressure they felt from their homework. The two-way table of row relative frequencies below shows the data.

Answers

Answer:

A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.

Step-by-step explanation:

Answer:

A THE RIGHT ANSWER

Step-by-step explanation:

If the production rate is 975 brownies per hour at a bakery, how many brownies will be produced in an 8 hour shift?

Answers

Answer:

7800 brownies will be produced in an 8 hour shift

Step-by-step explanation:

Given : The production rate is 975 brownies per hour at a bakery

To Find :  how many brownies will be produced in an 8 hour shift?

Solution:

No. of brownies produced in 1 hour = 975

We are supposed to find No. of brownies produced in 8 hour

No. of brownies produced in 8 hour =  975 x 8=7800

Hence 7800 brownies will be produced in an 8 hour shift

Hope this helps ФωФ

Mukat has five times as many book as usha.If mukat gave 16 books to usha,they each would have the same number.how many books did each girl have?

Answers

Mukat gets 40, Usha gets 8

Step-by-step explanation:

Mukat = 5 × Usha

After Mukat gives Usha 16 books ,Usha gets (16 + initial number of books) and Mukat gets (5 × Usha - 16)

Then Mukat = final number of books for Usha

5 × Usha - 16 = Usha + 16

(5 × Usha ) - Usha = 16+16

4 × Usha = 32

Usha = 8 i.e her number of books.

Mukat = 5×8=40.

I HOPE IT'S OK

PLEASSSSSEEE HELPPP ASPPP PLEASEEE

Answers

Answer:

x=1

i hope this helps!

Step-by-step explanation:

x+2/-1 =3

x+2 (1) =3

x+2 = 3

x=1

Answer x=1


Hopes this answers your question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.


Use digits to write the value of the 6 in this number.


672,180

Answers

Six hundred thousand

Hope it helps :)

HELP!!!!!!!! PLEASE!!!!!! Matthew works as a painter. He is currently doing a project painting a house. He is left with 7 1/5 liters of paint and one wall of a room requires approximately 1 2/3 liters of the paint. How many more walls of the rooms can he paint? A 5 B 4 C 6 D 3

Answers

Answer:

C

Step-by-step explanation:

1 2/3*3 = about 5

5+1 2/3= 6 2/3<7 1/5

6 2/3+1 2/3 =8 1/3> 7 1/5

C is the best answer because it is the closest to the total amount of paint

Identify the Mapping MNJ —> EDC

Translation
Rotation
Reflection
Glide Reflection

Answers

Answer:

The answer is rotation.

27 – 4 + 2a = 4a + 10 what is the answer

Answers

Answer:

13/2 = a

Step-by-step explanation:

27 – 4 + 2a = 4a + 10

Combine like terms

23 +2a = 4a +10

Subtract 2a from each side

23+2a-2a = 4a-2a +10

23 = 2a+10

Subtract 10 from each side

23-10 = 2a+10-10

13 = 2a

Divide by 2

13/2 = a

Answer: a = 13/2

I assume you don't need a step - by - step, you're just asking for the answer. Hope this helps!

8 is subtracted from the square of a number

Answers

Answer:

n^2-8 is the answer

Step-by-step explanation:

n^2-8 is the answer cause I have this same question before

How do I solve 3(x+1)=5(x−2)+7?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]

Answer:

 x = 3

Step-by-step explanation:

3(x+1)=5(x−2)+7

Use the distributive property to multiply 3 by x+1.

3x+3=5(x−2)+7

Use the distributive property to multiply 5 by x−2.

3x+3=5x−10+7

Add −10 and 7 to get −3.

3x+3=5x−3

Subtract 5x from both sides.

3x+3−5x=−3

Combine 3x and −5x to get −2x

−2x+3=−3

Subtract 3 from both sides.

−2x=−3−3

Subtract 3 from −3 to get −6.

−2x=−6

Divide both sides by −2.

x = -6/2

Divide −6 by −2

x = 3

Is this answer correct?

Answers

Answer:

yes

The statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Step-by-step explanation:

A plane does not have a formal definition, and a ray is described through undefined terms. The statement is true because

A plane is basically an undefined term as it could be named using three non-straight points - also called noncollinear points. A plane is basically a flat two-dimensional object having no thickness.

In Geometry, we have a variety of undefined terms, including point, line and plane. All other terms in Mathematics (Geometry) could be defined from the mentioned three undefined terms.

Therefore, the statement 'C' explains the difference between a plane and a ray.

i.e. A plane does not have a formal definition, and a ray is described through undefined terms.

Keywords: plane, point, line, ray

Learn more about plane and ray form brainly.com/question/14471549

#learnwithBrainly

for which prime p,p4+8 is also a prime number

Answers

Answer: p = 3.

Step-by-step explanation:

Ok, this must be:

p and p^4 + 8

ok, it may be useful to remember the first prime numbers:

2, 3, 5, 7, 11, 13...

So let's play with those and see what happens, this is solving a problem by brute force, this means that we will input those values in the equation p^4 + 8 and see if the result is also prime:

First, p = 2 is not the solution, because 2^4 + 8 = 24: not prime.

now let's try p = 3.

3^4 + 8 =  81 + 8 = 89, and 89 is a prime number, so the solution is p = 3.

Square Roots and Cube Roots - Tutorial - Level H
Pepper Jackie has 225 square inches for the area for her square mosaic.
How can she figure out how long each side should be?
Area of a Square
A= 225 in.
S
S
Find the positive square
root of 225.
Divide 225 by 4.
Divide 225 by 2.
She doesn't have enough
information to do this.

Answers

Answer:

s = 15 in (positive square root of 225)

Step-by-step explanation:

A = 225 in²

side of square mosaic is sq. root of 225 = 15 in

therefore the side (s) = 15 in

help me with this promblem THXXXX

Answers

Answer: Choice C)

Function 1 = negative y intercept

Function 2 = positive y intercept

====================================================

Explanation:

A. This is false because function 2 has a positive y intercept. Each time x goes up, y goes down. Reverse this and decreasing x leads to increasing y.

B. False. Function 1 has a negative y intercept. The y intercept occurs where the diagonal line crosses the y axis.

C. True. The graph shows a negative y intercept. The y intercept of function 2 is (0,2).

D. False. This contradicts choice C.

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