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 :

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Related Questions

Can you help me solve this it’s pretty easy but for you guys

Answers

Answer:

x - 81 = 321

adding 81 on both sides

x-81+81= 321+81

x= 402

Answer:

402

Step-by-step explanation:

81+321=402-321=81 n=402

A national study, that revealed a normal distribution, revealed that the average time a student spends studying statistics on a weekend is 60 minutes. A random sample of 11 students in BU 203 were asked to record their statistic study time over a weekend. The sample revealed an average study time of 44.27 minutes with a standard deviation of 20.4. With an alpha of 5% State the null hypothesis (H0) and the alternate hypothesis (H1). Draw the distribution.

Answers

Answer:

Null hypothesis = H0 : μ = 60

Alternative hypothesis = H1 : μ < 60

Step-by-step explanation:

From the question given :

μ = 60 minutes

xbar = 44.27 minutes

s = 20.4 minutes

The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)

The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.

The hypothesis are :

H0 : μ = 60

H1 : μ < 60

Find the value of x in the triangle shown below.
a. x=27
b. x=5
c. x= 4
d. x=18

Answers

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

6²=x²+3²

x²=36-9

x=√27 units

A bowl has 2 gold marbles, 3 blue marbles and 5 white marbles. A marble is randomly selected and then placed back in the bowl. You do this 5 times. What is the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles?

Answers

Answer:

2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white

Step-by-step explanation:

2+3+5=10

since you do this 5 times and get 5 marbles it can be:

2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white

The probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5

Probability is the likelihood or chance that an event will occur.

If there are 2 gold marbles, 3 blue marbles and 5 white marble in the bowl, the total number of marbles will be 10 marbles.

Pr(1 gold marble) = 2/10 = 1/5

Pr(1 blue marble) = 3/10

Pr(3 white marble) = [tex]\frac{3}{5C_3} = \frac{3}{10}[/tex]

Add all the probability;

Pr(hoosing 1 gold marble, 1 blue marble and 3 white marbles) = 1/5 +3/10 + 3/10 = 8/10 = 2/5

Hence the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5

Learn more here: https://brainly.com/question/13604758

Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.​

Answers

Answer: 7

Step-by-step explanation:

We know that the ratio adults: children must be 1:8.

So if there are 58 children the ration is x: 56

56/8 (to find the number of adults) = 7

7:56 = 1:8

The temperature decreased by 4.6 degrees Fahrenheit
B The temperature decreased by 0.28 degrees Fahrenheit
The temperature increased by 0.75 degrees Fahrenheit
The temperature increased by 4.6 degrees Fahrenheit

Answers

Answer:

10.23

Step-by-step explanation:

just add them togather

please help me with this question

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

To write an equation in slope-intercept form, y = mx + b, we need to find the slope (m) and the y-intercept (b).

✔️Slope (m) using two pairs of values, (0, 4) and (1, 2):

Slope (m) = change in y/change in x

m = (2 - 4)/(1 - 0) = -2/1

m = -2

✔️y-intercept is the value of y when x = 0. Therefore, fromm the table, when x = 0, y = 4.

y-intercept (b) = 4

✅Write the equation by substituting m = -2 and b = 4 into y = mx + b:

Thus,

y = -2x + 4

PLZ RESPOND AS SOON AS POSSIBLE

What are the coordinates of point f?

A) (7,5)

B) (7,-5)

C) (-5,7)

D) (5,-7)

Answers

the coordinates of point f is B)7,-5

Pls help if u cannnnnnnnnn

Answers

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

Factor the expression shown below completely.
18.12
603 + 50
OA. 2(31 – 5)2
OB. 2(6.1 – 5)2
OC. 3(2x - 5)
OD. 6(3.1 – 5)
RIGHT ANSWERS ONLY

Answers

A. 2(3x-5)²

Step-by-step explanation:

18x² - 60x + 50

= 2 (9x² - 30x + 25 )  ⇒⇒⇒ take 2 as common from all terms

note: 9x² = 3x * 3x and 25 = 5*5 and

 3x * 5 *2 = 30x

so, this is a complete square

= 2(3x-5)(3x-5)

= 2(3x-5)²

please, someone, help me

Answers

Answer:

282.7 in³

Step-by-step explanation:

The solid is a cylinder

Volume of the cylinder = πr²h

Where,

radius (r) = 3 in.

height (h) = 10 in

Volume = π*3²*10

= π*9*10

= π*90

= 282.743339 ≈ 282.7 in³ (nearest tenth)

please help me i need to reconcile but it is hard, thank you

Answers

Answer:

Step-by-step explanation:

Add the first two columns - third column. See if it equals last column.

Number one is correct, number 2 is off by $1.00,etc

let me know if you are still confused

raíz cuadrada de 28 más raíz cuadrada de 7 + 35 sobre raíz cuadrada de 7​

Answers

Answer:

21.1660104885

Step-by-step explanation:

Tuve que buscarlo, no lo sabía

Which expression is a sixth root of -1+i sqrt3?
(Look at photo for options)

Answers

Answer:

D

6sqrt2(cos(20)+I sin (20))

Answer:

The answer is D: 6sqrt2(cos(20)+isin(20))

Step-by-step explanation:

I’ve honestly been trying to figure out why this is the answer but I have no idea I just happened to get it right.

Determine the center and radius of the following circle equation: x ^ 2 + y ^ 2 - 6x + 2y - 39 = 0

Answers

x^2-6x+y^2+2y-39=0 =(x-3)^2 -9 + (y+1)^2 -1-39=0 so (x-3)^2 + (y+1)^2 = 49 . The center is at (3,-1) and the radius is 7 units.

Find the slope of the line that passes through
(8,3) and (3, 4)?

Answers

(Y2 -Y1)
————-
(X2-X1)

4-3
—— =
3-8

1/-5

Gavmans
add me on pinterest

Answers

Answer:

I would also add you...but i just don't WANT to

Help me please whats 93 divided by 29 to the power of 3 and multiplied by 283

Answers

Answer:

1.07913403584

Step-by-step explanation:

hope it helps you!!

branliest plssssss

Answer:

641,894,091

Step-by-step explanation:

Which of the following is a biconditional statement?
Question 4 options:

A)

A shape has four sides if and only if it's a quadrilateral.

B)

If a shape has four sides, then it's a quadrilateral.

C)

If a shape is a quadrilateral, then it has four sides.

D)

If a shape doesn't have four sides, then it isn't a quadrilateral.

Answers

I think it’s A but I’m not sure but keep trying

Answer:A)

A shape has four sides if and only if it's a quadrilateral.

Step-by-step explanation:

If a conditional statement and its converse are both true, then the statement is a biconditional statement. Biconditional statements can be written using the phrase “if and only if.” For example, a polygon is a hexagon if and only if it has six sides.

Mark buys a wooden board that is 7 1/2 feet long. The cost of the wooden board is $0.50 per foot, including tax. Enter the total cost, in dollars, of the wooden board.

Answers

Answer:

$3.75

Step-by-step explanation:

The board is 7 and a half feet long. It costs 0.5 per foot.

Therefore we can just multiply the two to find the total cost:

0.5 x 7.5 = $3.75

Hope this helped!

Need some help on this question??

Answers

Step-by-step explanation:

I am sorry I didn't know the answer

Answer:

2nd option

Step-by-step explanation:

The secant- secant angle CAD is half the difference of the intercepted arcs, that is

∠ CAD = [tex]\frac{CD-GE}{2}[/tex]

HELP PLEASE ONCE MORE

Answers

Answer:

40 cubic units

Step-by-step explanation:

16x 3 = 48

48- 8 is 40

NO LINKS I WILL REPORT YOU
What are the missing numbers

Answers

The missing numbers are 2 and 3 so it should look like y=4/3x + 2/3

Consider this chart, which details a store’s sales revenue by department. A pie chart titled Sales by Department. Blue is pharmacy, red is clothing, green is hardware, and yellow is gardening. Which of the following statements indicate ways in which this graph is misleading? I. The sections are not numerically labeled. II. The time frame is not mentioned. III. It is unclear which color corresponds to which section. a. I and II b. II only c. I and III d. I, II, and III Please select the best answer from the choices provided A B C D

Answers

Answer:

Answer is A l and ll

Step-by-step explanation:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales. The correct option is (D).

What is the line graph?

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

here, we have,

Line graphs have two axes that are graphically represented as x and y, respectively (x,y).

There are three types of line graph which are as follows:

Multiple line graph.

Simple line graph.

Compound line graph.

Hence, Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales.

To learn more about the line graph, visit:

brainly.com/question/11967677

#SPJ7

Complete question:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. Which type of graphic would be most effective?

A. Bar chart

B. Pie chart

C. Flow chart

D. Line graph

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

Let's say you have a 4 gallon and a 10 gallon pailHow can you measure exactly 2 gallons of water?

Answers

You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.

44% off of an $88.00 handbag

Answers

Answer:

that would be 58.08

Step-by-step explanation:

brainly please? i need 2 more!

One coin is flipped six times. What is the probability of flipping two heads and four tails?

Answers

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

Three friends ordered personal-sized pizzas for lunch. Lucia ate 2/3 of her pizza, Allie ate 1/4 of her pizza, and Carolina ate 2/5 of her pizza. Which statement correctly compares the amount of pizza that the friends ate

Answers

Answer:

2/3 > 2/5 > 1/4

Step-by-step explanation:

Lucia - 2/3 - 40/60

Allie - 1/4 - 15/60

Carolina -  2/5 - 24/60

( in this case 60 is the LCM)

least to greatest

15/60 < 24/60 < 40/60

Hope this helps!

A box contains 4 bags of flour. The total mass of all 4 bags is 8kg. What is the mass of each bag in cg?

Answers

The mass of each bag is 2 kg. To find this, just divide 8kg by 4 bags. Hope this helps!
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