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°.

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Related Questions

1) 14, 16, 18, 20, 22, ...
A) 29, 32, 35 B) 24, 26, 28
C) 34, 38, 42 D) 28, 31, 34

Answers

Answer:

What should we do the question pls

What 2+2? I forgot :( points hehe

Answers

Answer:

4

Step-by-step explanation:

2+2=4

3) A Diplodocus was a 90 ft. long plant-eating dinosaur. The Triceratops was 28 ft. long plant- eating dinsoaur. How many INCHES longer was the Diplodocus than the Triceratops?​

Answers

Answer:

The Diplodocus was 744 in longer than the Triceratops.

Step-by-step explanation:

90 ft = 90 * 12 = 1080 in

28 ft = 28 * 12 = 336

1080 in - 336 in = 744 in

!NO LINKS, NO FILES!

please :)

Answers

Answer:

B...?

Step-by-step explanation:

Either B or D so use your skills to find out ;)

The length of the rectangle is six times it’s width. If the perimeter is 84yd find the length and width

Answers

Answer:

W = 6

L = 36

Step-by-step explanation:

2L + 2W = 84

L = 6W

Substitute for L in the first equation

2 (6W) + 2W = 84

12W + 2W = 84

14W = 84

W = 6

Substitute W in the first equation

2L + 2(6) = 84

2L + 12 = 84

2L = 72

L = 36

Plug both values in both equations to be sure

2(36) + 2(6) = 84

36 = 6 * 6

Hope that helps!

find the cost of fencing a rectangular field 250m long and 130m wide at rupees 30 per meter​

Answers

Answer:

(250+250+130+130)*30=22,800

graph the line with y-intercept 5 and slope 2​

Answers

Answer: y = mx + b

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

Hope it helps u

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A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.

Answers

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: V = 262.610935 m³


Express 1 min as a repeating decimal part of an hour.

Answers

One minute as a decimal part of an hour is 0.01666667

To find this I divided 1 by60

Find the volume.
pls help!

Answers

Answer:

(8*6*8)÷2=192ft^3

Step-by-step explanation:

find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2

There are 46 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random variable with an expected value of 5 min and a standard deviation of 4 min. (Round your answers to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins

Answers

Answer:

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distribution of n values from a normal distribution:

If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.

This means that

[tex]\mu = 46*5 = 230[/tex]

[tex]s = 4\sqrt{46} = 27.13[/tex]

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{250 - 230}{27.13}[/tex]

[tex]Z = 0.74[/tex]

[tex]Z = 0.74[/tex] has a pvalue of 0.7704

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

PLEASE HELP ME PLEASE MAX POINTS

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answer my other question, please! ^^

Answers

Answer:

I did the first one

Step-by-step explanation:

Hope I did it right

Andrew has 2 cats and 9 dogs. He writes the ratio 2:9. What does this ratio mean? *

Answers

Answer:

it means that for every two cats there are nine dogs, so if they were four cats there'll be 18 dogs and so on

Answer:

Two cats per nine dogs

Step-by-step explanation:

The ratio is two cats to nine dogs, meaning that for every two cats, there are nine dogs, and vice versa. This applies to any ratio. Hope this helps! Feel free to ask any questions!

2/5÷1 7/8
how do I divide it​

Answers

Answer:

0.21333333333 or 2 21/40

Step-by-step explanation:

2/5+17/8

=2/5*8/8+17/8*5/5

=16/40+85/40

=16+85/40

=101/40= 2 21/40

you can also use this link for any other problems like this

https://www.calculator.net/fraction-calculator.html?t1=2&op=%2B&t2=17&b1=5&b2=8&ctype=1&x=100&y=24

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Answers

Use substitution
Since you know they are both y, you can make the values of each equal to each other.

2x - 9 = -x + 3
3x = 12, x = 4
Plug x = 4, into any equation
Y = 2(4) - 9
Y = 8 - 9 = -1, y = -1

Solution: (4,-1)

Which of the four Venn diagrams represents this?

Answers

Answer:

I would day option B does

Answer:

A is the correct answer

Step-by-step explanation:

In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if: (a) The books can be arranged in any order? Your answer is: 3628800 (b) The mathematics books must be together and the novels must be together? Your answer is : 6 (c) The mathematics books must be together but the other books can be arranged in any order? Your answer is: 5040

Answers

Answer:

(a) 3628800 ways

(b) 17280 ways

(c) 120960 ways

Step-by-step explanation:

Given

[tex]Novels = 5[/tex]

[tex]Maths = 4[/tex]

[tex]Biology = 1[/tex]

[tex]Total = 10[/tex]

Solving (a): Arrangement with no restriction.

We simply count each book with no restriction. i.e. 10 books

So, the number of arrangement is:

[tex]Arrangement =10![/tex]

[tex]Arrangement =10*9*8*7*6*5*4*3*2*1[/tex]

[tex]Arrangement =3628800[/tex]

Solving (b): Maths book together and Novels together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, arrange the 5 novels as:

[tex]Novels = 5![/tex]

Lastly, take the 4 maths book as [1], the 5 novels as [1] and the remaining [1] biology book.

So, we have: 3 books

Arrange 3 books, we have:

[tex]Books = 3![/tex]

Total arrangement is:

[tex]Total = 4! * 5! * 3![/tex]

[tex]Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1[/tex]

[tex]Total = 17280[/tex]

Solving (c): Maths book together

First, arrange the 4 maths books as:

[tex]Maths = 4![/tex]

Next, take the 4 maths book as [1], then the remaining 6 books (i.e. 5 novels and 1 biology)

So, we have: 7 books

Arrange 7 books, we have:

[tex]Books = 7![/tex]

Total arrangement is:

[tex]Total = 4! * 7![/tex]

[tex]Total = 4*3*2*1 * 7*6*5*4*3*2*1[/tex]

[tex]Total = 120960[/tex]

34 in. 14 in. What is the area of the triangle?​

Answers

Area =238 inches squared

2. GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION

Answers

Answer:

its 5

Step-by-step explanation:

Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square

Answers

Answer:

pyramid,  solid, polyhedron

Step-by-step explanation:

The given figure is a pyramid.

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.

The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.

Learn more about pyramid here

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on an air Indian flight there are 9 boys 5 indian children, 9 men, 7 foreign boys 14 indians, 6 indian male and 7 foreign female. What is the number of people on board the plane.​

Answers

Answer:

Is it 57?

Step-by-step explanation:

Here is a 95% confidence interval estimate of the proportion of adults who say that the law goes easy on celebrities: 0.692 < p < 0.748 (based on data from a Rasmussen Reports survey). a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities

Answers

Answer:

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used(best point estimate) is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

The two bounds are 0.692 and 0.748.

a.What is the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities.

The mean of the bounds, so:

(0.692+0.748)/2 = 0.72

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

2.
Find the value of x.
110°
(x + 30)
po

Answers

the value of x is 80
(80+30) = 110
x= 80

Solve for x

Can someone please help??I've been stuck on this for far to long

Answers

Answer:

x = 7

Step-by-step explanation:

We need to find the value of x in the given figure. It can be calculated using ratio.

We know that,

4+3 = 7

Taking ratios,

[tex]\dfrac{7}{3}=\dfrac{14}{x-1}[/tex]

or

[tex]\dfrac{1}{3}=\dfrac{2}{x-1}\\\\x-1=6\\\\x=6+1\\\\x=7[/tex]

So, the value of x is equal to 7.

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT

Answers

Answer: That is right

Step-by-step explanation:

Answer:

b) triangle, not regular

Step-by-step explanation:

This appears to be a scalene triangle. Therefore, it is a triangle, not regular. This is because scalene triangles have measures that are different on all sides and angles. Therefore, it is irregular.

THERE IS A BATTLE BETWEEN THE TWO REPLIES DOWN BELOW! WHO WILL GET THE MOST LIKES?

Answers

Answer: Ok Good luck other contestant.

A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.

Answers

Answer:

280cm

Step-by-step explanation:

Given data

Robound= 70%

Initial height= 400cm

Let us calculate the final height after the rebound

=70/100*400

=0.7*400

=280cm

Hence the new height after the rebound is

280cm

#11-14 Answers are on the side

Answers

The difference between 7 and - 49 is one is positive one is negative and how they are graphed differently

Please help, I will give brainliest. No links please.

A projectile is shot into the air. The altitude of the projectile after t seconds is modled by the function graphed. Time t is measured in secinds and altitude h(t) is measured in feet.

Which of these statements are true?
A) The projectile reaches a maximum altitude of 12 feet.
B) The projectile reaches its maximum altitude after 12 seconds of flight.
C) The projectile is launched from the ground.
D) The altitude of the projectile is increasing on the interval 5<t<20​​

Answers

Answer:

B is the true statement

Step-by-step explanation:

A

We can see from the graph that the highest point occurs when the height in feet is 19.4, so statement A is untrue.

B

We can see from the graph that the highest point occurs after 12 seconds of flight, so statement B is true.

C

If the projectile were launched from the ground, when t=0, h=0, but since when t=0, h=5, we can see it was launched 5ft from the ground, so statement C is untrue.

D

On the interval 5<t<12, the altitude is indeed increasing, but after t=12, the projectile begins to fall and the altitude decreases, so statement D is untrue.

53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z

Answers

Is this shape a triangle????
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