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∘
Answers
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
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 :
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Related Questions
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:
#11-14 Answers are on the side
Answers
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]
THERE IS A BATTLE BETWEEN THE TWO REPLIES DOWN BELOW! WHO WILL GET THE MOST LIKES?
Answers
Answer: Ok Good luck other contestant.
What 2+2? I forgot :( points hehe
Answers
Answer:
4
Step-by-step explanation:
2+2=4
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
53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z
Answers
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
PLEASE HELP ME PLEASE MAX POINTS
https://brainly.com/question/23269912
answer my other question, please! ^^
Answers
Answer:
I did the first one
Step-by-step explanation:
Hope I did it right
!NO LINKS, NO FILES!
please :)
Answers
Answer:
B...?
Step-by-step explanation:
Either B or D so use your skills to find out ;)
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.
Express 1 min as a repeating decimal part of an hour.
Answers
To find this I divided 1 by60
2.
Find the value of x.
110°
(x + 30)
po
Answers
(80+30) = 110
x= 80
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
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
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.
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.
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
FOLLOW MY ACCOUNT PLS PLS
2. GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION
Answers
Answer:
its 5
Step-by-step explanation:
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
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
34 in. 14 in. What is the area of the triangle?
Answers
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!
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:
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!
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
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 regularStep-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.
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
helpppppppppppppppppp
Answers
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)