Mathematics College

What is the measure of ∠B?
Triangle A B C with ray A G through point C and angle measures A = 3x, B = 4x, and exterior angle B C G = 10x minus 45.




60∘60 degrees

15∘15 degrees

45∘45 degrees

105∘

What Is The Measure Of B?Triangle A B C With Ray A G Through Point C And Angle Measures A = 3x, B = 4x,

Answers

Answer 1

Answer:

Solution given:

4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]

45=10x-7x

x=45/3

x=15

now.

<B=4x=4×15=60° is your answer

Answer 2

The required measure of ∠B is 60° for the given triangle.

What is the Exterior Angle?

An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

According to the shown figure, we have:

The external angle is ∠BCG = 10x - 45.

And, two interior angles as ∠A = 3x, and ∠B = 4x.

As we know that the sum of two opposite interior angles equals the exterior angle.

So, we can be written as follows:

4x + 3x = 10x - 45

45 = 10x - 7x

x = 45/3

x = 15

So, the measure of ∠B is:

∠B = 4x

∠B = 4 × 15

∠B = 60°

Thus, the required measure of ∠B is 60°.

Learn more about the exterior angles here :

https://brainly.com/question/28835566

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Related Questions

I need help with this ​

Answers

9514 1404 393

Answer:

x = 32y = 51

Step-by-step explanation:

Angle U = angle N = 180° -142° -24° = 14°

The expression for angle U tells us the value of x.

  2x -50 = 14

  x -25 = 7 . . . . . divide by 2

  x = 32 . . . . . . . .add 25

__

The measure of side SU is the same as that for side PN.

  13 = (2x -y)

  y = 2x -13 = 2(32) -13 . . . . solve for y, substitute for x

  y = 51

How many solutions dose x+y=10 x+y=12

Answers

There’s are 2 choices bffbbcn

Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

What does b equal in the picture below?

Answers

Answer:

87

Step-by-step explanation:

just subtract 16 from 103

Flowers can contain one or both sexes of flower parts. A ___ is the B____ is the C ____ is the All of these are male or female?​

Answers

Answer:

Answer:A) Anther( male )

B) Filament or stalk

Explanation:-The male parts of the flower are called the stamens and are made up of the anther at the top and the stalk or filament that supports the anther.

Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.

Answers

Convert both mixed numbers to improper fractions since they do not have a similar denominator.

2 7/10 becomes 27/10
1 1/4 becomes 5/4

Now you need to find the least common denominator that 10 and 4 go into which is 20.

Multiply the top and bottom by the number it takes to make the denominator in each fraction 20

27/10 becomes 54/20 because you multiply the 10 and 27 by 2.

5/4 becomes 25/20 because you multiply the 4 and 5 by 5.

Now you can subtract the two fractions:

54/20 - 25/20 = 29/20

29/20 can be reduced to 1 9/10 which is how much farther he must go.

Can someone pleaseee help

Answers

Answer:

Step-by-step explanation:

all you have to do is * 7 by 5 and divide by 2

multiply 7 * 5 then divide by 2 which equals to 17.5

HELPPP 50 points. FASTTTT THANK YOU

Answers

Hope this helped. The answer is in the picture.

○( ＾皿＾)っ

Answer: I can think of is c but tell me if I'm wrong

Step-by-step explanation:

Help ASAP 6x - 3(2 – 3x)

Answers

Answer:

First: we expand

6x-(6-9x)

Then we simplify

6x-6+9x

Collect like terms

(6x+9x)-6

Simplify:

15x-6

The answer is 15x-6

The correct answer is 15x-6

What is the domain? Is it (-4,3)

Answers

Yes I think you are correct. The domain appears to be the set of x values such that -4 < x < 3 meaning that x is between -4 and 3, excluding each endpoint. In interval notation, that translates to (-4, 3). This of course assumes that we have two vertical asymptotes bookending the left and right sides of the curve, and these vertical asymptotes are at x = -4 and x = 3. If the curve extends beyond these boundaries, then the domain would instead be the set of all real numbers.

What is the volume?
help thanks ( :

Answers

Answer:

54 is the volume

Step-by-step explanation:

Multiply 9 * 2 * 3 = 54

Answer:

54

Step-by-step explanation:

...

Could I get help/an explanation on this problem? Thanks

Answers

Answer:

HEY BABE

Step-by-step explanation:

Please help!

Thank you ☺️

Answers

Answer:

I think it's,1,7,7 that will not make a triangle

hope this help

Which rational number is the opposite of 1.7? Select all that apply.
-1 7/10
-1.7
1 7/10

Answers

Answer:

-1 7/10 and -1.7

Step-by-step explanation:

I need the answers plsss. I will mark brainiest.

Answers

Answer:

number 1 is true

Step-by-step explanation:

Answer and explainaction please. End of course test is next week and I want to make sure I can work out answers on my own! :)

Answers

Answer: This is what I get.

Step-by-step explanation:

Submit

IM.MP3.PC.2020-2021

Question: 1-2

Examine the polygons on the coordinate plane.

162

Select the triangle that represents a translation of

GHK.

B В

A

H

D

B

Ο Ο Ο Ο

C С

A

С

Answers

Answer:

can you send a picture please

Which value is NOT a solution of x^3 + 64 = 0

Answers

Hi can we see the choicest

3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.

Answers

Answer:

D) There are two pairs of opposite parallel sides.

Step-by-step explanation:

A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.

the answer is d there are two pairs of opposite parallel sides

A picture has a height that is 2 times it’s width . It is to be enlarged to an area of 128 in 2
What will the dimensions of the enlargement be , if the equation to represent its area 2x 2 = 128

Answers

9514 1404 393

Answer:

  8 in by 16 in

Step-by-step explanation:

In your equation, we presume that x represents the width. Solving for x, we have ...

  2x² = 128 . . . . . . given equation

  x² = 64 . . . . . . . . divide by 2

  x = √64 = 8 . . . . square root

The enlargement will be 8 inches by 16 inches.

Mr. Dash recorded the odometer
readings in his car for a business trip.
Before the trip, the odometer read
23,125.6. At the end of the trip it read
23,219.1. If Mr. Dash is reimbursed
$0.51 for every mile, then about how
much will he be reimbursed?

Answers

Mr. Dash is reimbursed $47.69.

A sphere has a radius of 5. What is its diameter?

Answers

Answer:

D=10

Step-by-step explanation:

Diameter of a Sphere

D = 2 r

D=2(5)

D=10

Answer:

Diameter = 10

Diameter - is the full thing

Radius - Is only half of the diameter.

Step-by-step explanation:

The picture will explain it to you visually

The cardinal number of {17, 18, 19, 20, ..., 95} is

Answers

Answer:

95

Step-by-step explanation:

a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s

Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.

Answers

Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]

b. P(x)= 4x

c. The graph would go in a straight line touching each point given.

Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.

I need help plz (will give brainlyist)

Answers

Answer:

x=5/2 ft

Step-by-step explanation:

∵V=lbh

⇒15/16= 3/4×1/2×x

⇒(15/16)÷(3/8)=x

∴x=5/2 ft

All but one of the following cannot be used internationally​

Answers

Answer:

I think national flag cannot be used internationally

Step-by-step explanation:

hope it helps you

pls help asap ill give brainliest

Answers

Answer:

Third one

Step-by-step explanation:

Help pls

••••••••••••••••

Answers

I'm so late sksksks

Answer:

1395 ft²

Step-by-step explanation:

The total area of the green surfaces

= 15² × 5

= 1125 ft²

The area of each triangular surfaces

= 15 × 9 ÷ 2

= 67.5 ft²

The total area of triangular surfaces

= 67.5 × 4

= 270 ft²

The total area of the figure

= 1125 + 270

= 1395 ft²

help!!

a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply

Answers

Answer:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Step-by-step explanation:

Required

Which equals [tex]x = 4[/tex]

[tex](a)\ 2x + 6 = 2[/tex]

Collect like terms

[tex]2x = 2 - 6[/tex]

[tex]2x = -4[/tex]

Divide both sides by 2

[tex]x = -2[/tex]

[tex](b)\ 2x - 9 = -1[/tex]

Collect like terms

[tex]2x = -1 + 9[/tex]

[tex]2x = 8[/tex]

Divide both sides by 2

[tex]x = 4[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

Collect like terms

[tex]-2x =- 12 + 4[/tex]

[tex]-2x =-8[/tex]

Divide both sides by -2

[tex]x = 4[/tex]

[tex](d)\ 2(x + 2) = 10[/tex]

Divide both sides by 2

[tex]x + 2 =5[/tex]

Collect like terms

[tex]x = 5-2[/tex]

[tex]x = 3[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Divide both sides by 2

[tex]x - 10 = -6[/tex]

Collect like terms

[tex]x = 10 - 6[/tex]

[tex]x = 4[/tex]

Hence, the equations with the required solution are:

[tex](b)\ 2x - 9 = -1[/tex]

[tex](c)\ -2x + 12 = 4[/tex]

[tex](e)\ 2(x - 10) = -12[/tex]

Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?

Answers

Answer:22% or 64/289

Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)

8/17 x 8/17 = 64/289

Please help me ASAP please

Answers

Answer:

Equation: 45 - 21 = s

The second answer is 24.

You can check by adding 24 + 21 which is 45.

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