∠A and \angle B∠B are vertical angles. If m\angle A=(2x+26)^{\circ}∠A=(2x+26) ∘ and m\angle B=(3x+21)^{\circ}∠B=(3x+21) ∘ , then find the measure of \angle B∠B.

Answers

Answer 1

Answer:

36degrees

Step-by-step explanation:

If m<A and m<B are vertical angles, hence m<A = m<B (vertical angles are equal)

Given the following

m<A = (2x+26)°

m<B = (3x+21)°

Equating both expressions

2x + 26 = 3x + 21

2x - 3x = 21 - 26

-x = -5

x = 5

Get the measure of m<B

m<B = (3x+21)°

m<B = 3(5) + 21

m<B = 15+21

m<B = 36degrees

Hence the measure of angle B is 36degrees


Related Questions

Help fast please i need it​

Answers

Answer:

420

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

vnhfuurrttjnnnnnbh

Find the value of this expression if x = -2 and
y = 4.
ху
3

Answers

Answer:-8/3

Step-by-step explanation:

given xy/3

putting vales of x and y

(-2)(4)/3

-8/3

()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square
inches. What are the dimensions of the paper?

Answers

Given:

Perimeter of a rectangular paper = 22 inches.

Area of the rectangular paper = 28 square inches.

To find:

The dimensions of the rectangular paper.

Solution:

Let l be the length and w be the width of the rectangular paper.

Perimeter of a rectangle is:

[tex]P=2(l+w)[/tex]

Perimeter of a rectangular paper is 22 inches.

[tex]2(l+w)=22[/tex]

[tex]l+w=\dfrac{22}{2}[/tex]

[tex]l=11-w[/tex]                      ...(i)

Area of a rectangle is:

[tex]A=lw[/tex]

Area of the rectangular paper is 28 square inches.

[tex]28=lw[/tex]

Using (i), we get

[tex]28=(11-w)w[/tex]

[tex]28=11w-w^2[/tex]

[tex]w^2-11w+28=0[/tex]

Splitting the middle term, we get

[tex]w^2-7w-4w+28=0[/tex]

[tex]w(w-7)-4(w-7)=0[/tex]

[tex](w-7)(w-4)=0[/tex]

Using zero product property, we get

[tex](w-7)=0\text{ and }(w-4)=0[/tex]

[tex]w=7\text{ and }w=4[/tex]

If [tex]w=7[/tex], then by using (i)

[tex]l=11-7[/tex]

[tex]l=4[/tex]

If [tex]w=4[/tex], then by using (i)

[tex]l=11-4[/tex]

[tex]l=7[/tex]

Therefore, the dimensions of the paper are either [tex]7\times 4[/tex] or [tex]4\times 7[/tex].

Which point is a solution to the inequality shown in this graph? (0,4) (-3,0)

Answers

Answer: (-3,0)

Hope this helps :_)

Give examples of numbers that you would multiply by 3 to get an answer that is greater than 3, equal to 3, or less than 3

Answers

Answer:

1. 3 x 3 = 9

2. 3 x 1 =3

3. 3 x 0.4 = 1.2

Step-by-step explanation: Hope this helps :)

TRAINGLE CONGRUENCE i think ... (PICTURE INCLUDED) PLA EXPLAIN HOW!!!

Answers

Answer:

Step-by-step explanation:

Cos ∅ = [tex]\frac{Adjacent side}{Hypotenuse}[/tex]

Cos 48° =[tex]\frac{38}{x}[/tex]

0.67 = [tex]\frac{38}{x}[/tex]

0.67*x = 38

x = [tex]\frac{38}{0.67}[/tex]

x = 56.71

x = 56.7

Which expression is equivalent to squareroot a⁷

its D​

Answers

Answer:

d) sqrt a^6 × a

Step-by-step explanation:

sqrt a^6 × a

= a× a =a

6+ 1 = 7

= sqrt a^7

What is the median of these scores,
98,82,100,84?

Answers

Answer:

the median is 91

Step-by-step explanation:

have a good day

help please lolololololololo

Answers

Answer:

C. x= 3 ; angle measure is 48°

Step-by-step explanation:

the two angles created by the X are the equal, so to make 16 equal to 48 we multiply by 3

hope this helps chu <3

what’s the comparison to 3/25 and 22/25

Answers

Answer:

This is the answer. Hope it helps

Step-by-step explanation:

3/25<22/25

Solve the equation.
m2-14 – 29

Answers

Answer:

m = 15

Step-by-step explanation:

m + 14 = 29

Subtract the 14...

m = 15

I hope this helps :)

Answer:

m = 15

Step-by-step explanation:

3) Write an explicit
formula for the
sequence:
45, 41, 37, 33

Answers

Answer and Step-by-step explanation:

f(n) = 45 - 4(n - 1)

This is the explicit formula for the sequence.

45 is the initial amount, which is why it is by itself.

The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.

#teamtrees #PAW (Plant And Water)

tell me if i did these correctly and i will mark you brainiest

Answers

Answer:

You only got 7, 8, and 9 wrong

Step-by-step explanation:

it said convert to percents not fractions. Number 7 is 35%, number 8 is 80%, and number 9 is 126%

In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.

Answers

Answer:

QR = 4.6 ft

Step-by-step explanation:

By applying tangent rule in the given triangle PQR,

tan(62°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{8.6}{QR}[/tex]

QR = [tex]\frac{8.6}{\text{tan}(62)}[/tex]

QR = 4.573

QR ≈ 4.6 ft

What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm

Answers

Answer:

The volume is 2.4

Answer:

2.4 cm

Step-by-step explanation:

Length× Width × Height

[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]

[tex]\frac{36}{15} = \frac{12}{5}[/tex]

12÷5= 2.4

thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.

Answers

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Went out to eat on his birthday 4 shot 3 dead in tha worst way

Answers

Answer:

That's unfortunate. Is everything okay?

5[5y -6] = 4[y -7]
solve the equation by balancing the equation

Answers

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

someone help with number 2. (it’s algebra 1)

Answers

Answer:

98 followers

Step-by-step explanation:

Because 82(1.045)^4 is equal to 97.7865252512 which is 98 when you round it to the whole number...

GOOD LUCK

50 points


Look at the work for the following function. What mistake did they make when using the quadratic formula to find the solutions? What are the real solutions to the function?

Answers

Answer:

see below

Step-by-step explanation:

whenever there is negative number being squared, you need to add the brackets so that you inside the - 1 in front of the number

so this step is wrong

[tex] \sqrt{ - 9 { }^{2} - 4(1)(20) } [/tex]

the -9 ² , you must include the brackets to include the -1 in front of the 9

so it should be

[tex] \sqrt{( - 9) {}^{2} - 4(1)(20) } [/tex]

so you will get = 1

and then you continue with other parts of the formula and you will get real solutions

hope this helps

please mark it brainliest

inside the radical should be 81-80 which would be 1 of course and that leaves real solutions. answers are 5 & 4

a truck sits on the platform of a vehicle lift. Two moving arms raise the platform until a mechanic can fit underneath. Why will the truck always be parallel to the ground as it is lifted?

Answers

Answer:

Step-by-step explanation:Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

last year Kurt grew a pumpkin the had a mass of 12 3/8 kg. this year he grew a pumkin that was 2/3 as much What is the mass of the pumkin Kurt grew this year?​

Answers

Answer:

8 2/8 kg or 8 1/4 kg

Step-by-step explanation:

Multiply 2/3 by 12 3/8 to find 2/3 of Kurt's last year pumpkin

The fraction 2/3 of 12 3/8 is 8 1/4 thus the mass of the pumpkin Kurt grew this year is 8 1/4.

What is a fraction?

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The value that appears above the horizontal line is referred to as the numerator.

Given that,

Mass of pumpkin last year = 12 3/8

It's grown by 2/3 factor this year.

2/3 of 12 3/8 → 2/3(12 + 3/8)

⇒ 8 + 2/8

⇒ 8 + 1/4 = 8 1/4

Hence "The fraction 2/3 of 12 3/8 is 8 1/4 thus the mass of the pumpkin Kurt grew this year is 8 1/4".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Why should Emily use a wire to connect point 2 to point 4? A) Metal wire is always expensive to work with. B) Metal is a good insulator of electricity. C) Metal wire is a good conductor of electricity. D) Metal is an inexpensive material to work with.

Answers

Answer:

c.)  Metal wire is a good conductor of electricity.

Step-by-step explanation:

https://byjus.com/questions/why-are-metals-good-conductors-of-electricity/#:~:text=Metals%20are%20an%20excellent%20conductor,of%20the%20interacting%20metal%20ions.

"Metals are an excellent conductor of electricity and heat because the atoms in the metals form a matrix through which outer electrons can move freely. Instead of orbiting their respective atoms, they form a sea of electrons that surround the positive nuclei of the interacting metal ions."

Hope this helped!

Stay safe! <3

which triangle congruence postulate, if any, can be used to prove the two triangles are congruent

Answers

Answer:

dont know answer sorry minsan tama na sagot

HELP PLEASE PLEASE!!!​

Answers

Answer:

a) 20 feet

Step-by-step explanation:

8ft shadow - 5ft

32ft shadow - [tex]\frac{32}{8}[/tex] × 5ft = 20ft

Answer:

A

Step-by-step explanation:

Ratio from shadow to object

8:5

Given Shadow of tree = 32ft, (8x4)

Height of Tree = 5x4 = 20ft

A

Find the circumference of the circle. Use 3.14 for pi round the nearest hundredth rig necessary. 30 in the circumference of the circle is abt something in

Answers

Answer:

C=2 [tex]\pi[/tex] r

Step-by-step explanation:

A technology company claims that 13% of customers who call the help desk cannot log in because they have their keyboard on caps lock, which blocks the log in process due to password case sensitivity. Brian, a help desk worker at this company, thinks this proportion is higher. The 95% confidence interval for the true proportion of customers who cannot log in due to caps lock is (0.128, 0.185). Is it reasonable to believe the true proportion of customers who cannot log in due to caps lock is greater than 13%?

Yes, because most of the values in the interval are above 0.13.
Yes, because the center of the interval is 0.1565, which is greater than 0.13.
No, because 0.13 is in the interval.
No, because there are values in the interval that are less than 0.13.

Answers

Answer:

It’s D for heaven sake !

No, because there are values in the interval that are less than 0.13.

Step-by-step explanation:

La suma dels quadrats de tres nombres naturals consecutius i múltiples de 3 és igual a 450. Planteja una equació de segon grau i calcula els tres nombres.

Answers

Answer:

The 3 numbers are 9, 12, and 15.

Step-by-step explanation:

I will answer in English, below the answer you can see a translation in Catalan.

This can be translated to:

The sum of the squares of three consecutive and multiple natural numbers of 3 is equal to 450. Pose a quadratic equation and calculate the three numbers.

First, a multiple of 3 can be written as:

3*n

The consecutive multiple of 3 is:

3*n + 3

The consecutive multiple of 3 is:

3*n + 3 + 3

Then the sum of their squares is:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2

And we know that this is equal to 450, then we need to solve the equation:

(3*n)^2 + (3*n + 3)^2 + (3*n + 6)^2 = 450

let's solve this:

9*n^2 + (9*n^2 + 2*(3*n)*3 + 9) + (9*n^2 + 2*(3*n)*6 + 36) = 450

27*n^2 + 54*n + 45 = 450

we can write this as:

27*n^2 + 54*n + 45 - 450 = 0

27*n^2 + 54*n - 405 = 0

The solutions of this equation are given by the Bhaskara's formula, and the solutions are:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

we know that our numbers are naturals, then the numbers are positives, which means that we only care for the positive solution of n, which is:

n = (-54 + 216)/54 = 3

Then the 3 numbers are:

3*n = 3*3 = 9

(3*n + 3) = (3*3 + 3) = 12

(3*n + 6) = (3*3 + 6) = 15

In Catalan:

En primer lloc, es pot escriure un múltiple de 3 com:

3 * n

El múltiple consecutiu de 3 és:

3 * n + 3

El múltiple consecutiu de 3 és:

3 * n + 3 + 3

Llavors, la suma dels seus quadrats és:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2

I sabem que això és igual a 450, llavors hem de resoldre l’equació:

(3 * n) ^ 2 + (3 * n + 3) ^ 2 + (3 * n + 6) ^ 2 = 450

resolem això:

9 * n ^ 2 + (9 * n ^ 2 + 2 * (3 * n) * 3 + 9) + (9 * n ^ 2 + 2 * (3 * n) * 6 + 36) = 450

27 * n ^ 2 + 54 * n + 45 = 450

podem escriure això com:

27 * n ^ 2 + 54 * n + 45 - 450 = 0

27 * n ^ 2 + 54 * n - 405 = 0

Les solucions d’aquesta equació vénen donades per la fórmula de Bhaskara, i les solucions són:

[tex]n = \frac{-54 \pm \sqrt{54^2 -4*27*(-415)} }{2*27} = \frac{-54 \pm 216 }{54}[/tex]

sabem que els nostres nombres són naturals, aleshores els nombres són positius, cosa que significa que només ens importa la solució positiva de n, que és:

n = (-54 + 216) / 54 = 3

Llavors els 3 nombres són:

3 * n = 3 * 3 = 9

(3 * n + 3) = (3 * 3 + 3) = 12

(3 * n + 6) = (3 * 3 + 6) = 15

Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?

Answers

Answer:

5040 possible arrangements

Step-by-step explanation:

Given

[tex]Trophies = 7[/tex]

Required

Possible arrangements

The 1st can be placed in any 7 positions

The 2nd, in 6 positions

-----

--

-

Up till the last in 1 position

So, the number of arrangements is:

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

[tex]Arrangements = 5040\ ways[/tex]

A triangle has sides of length 2 cm and 12 cm. What can you say about the length of the third​ side?

Answers

Answer:

The third side must be between 10cm and 14 cm

Step-by-step explanation:

Let the third side be x

Triangle inequality theorem: sum of the length of any two sides must be greater than the third side length:

2 + 12 > x ⇒ x < 142 + x > 12 ⇒ x > 10x + 12 > 2 ⇒ x > -10, we change it to x > 0 as it should be a positive number

Combined together we have:

10 < x < 14

The third side must be between 10cm and 14 cm

Other Questions
Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons (the maximum weight that can be tolerated without breaking). It is known that the two standard deviations in load capacity are equal at 5 tons each. An experiment is conducted in which 30 specimens of each alloy (A and B) are tested and the results recorded as follows: xA = 49.5, xB = 45.5, xA xB = 4The manufacturers of alloy A are convinced that this evidence shows conclusively that muA & muB and strongly supports the claim that their alloy is superior. Manufacturers of alloy BB claim that the experiment could easily have given xA xB = 4 even if the two population means are equal. In other words, "the results are inconclusive!"(a) Make an argument that manufacturers of alloy B are wrong. Do it by computing P(xA xB > 4 | muA - muB(b) Do you think these data strongly support alloy A? Math help pls all 4 questions please Question 3: What is the volume of corn held in this cone-shaped grain silo? 1 pointUse 3.14 for Pi and round to the nearest cubic foot (whole number). *15 yd20 ydNour answer I What was the public reaction to the government intervention into the crisis ? Meiji Isetan Corp. of Japan has two regional divisions with headquarters in Osaka and Yokohama. Selected data on the two divisions follow: Division Osaka Yokohama Sales $ 10,200,000 $ 32,000,000 Net operating income $ 816,000 $ 3,200,000 Average operating assets $ 2,550,000 $ 16,000,000 Required: 1. For each division, compute the return on investment (ROI) in terms of margin and turnover. 2. Assume that the company evaluates performance using residual income and that the minimum required rate of return for any division is 17%. Compute the residual income for each division. 3. Is Yokohamas greater amount of residual income an indication that it is better managed? The volume is 120.9 in. What is the missing dimension (X) Of the 16 children in the park, seven-eighths are wearing a red shirt. How many children in the park are wearing a red shirt? (PLEASE HELP CORRECT ANSWER GETS BRAINLIEST ALSO 30 POINTS) Read the sentence. San Francisco's Golden Gate Bridge, along with its ship docks and intermediate bridges, weighed 894,500 tons when it opened.Which topic best describes the sentence?the Golden Gate Bridge's weight capacity for carsthe weight of the Golden Gate Bridge when it openedthe intermediate bridges in the San Francisco Baythe steps to measure docks and intermediate bridges HELP I'M FAILING .....so if you have 300 coins and you take away half how much do you have left Can SOMEBODYYY please do the maths!!! PLeassssssssssssseeeeeeee Please Help- K + = 5 | K = ?Show Your Reasoning. Select the margin of error that corresponds to the sample mean that corresponds to each population:A population mean of 360, a standard deviation of 4, and a margin of error of 2.5% 369368367 Using vivid imagery, describe a setting that has a suspenseful or frightening mood. Your description should be four to six sentences One of the following is a regression example for which Entity and Time Fixed Effects could be used: ________ a. minimum wages on teenage employment using annual data from the 48 contiguous states in 2006. b. various performance statistics on the (log of) salaries of baseball pitchers in the American League and the National League in 2005 and 2006. c. inflation and inflationary expectations on unemployment rates in the United States, using quarterly data from 1960-2006. d. drinking alcohol on the GPA of 150 students at your university, controlling for incoming SAT scores. The Republicans in Congress were wary of allowing the proposed State of Sequoyah to enter the Union because theyfeared thatA. the American Indians would not assimilate into US societyB. the proposed State of Sequoyah would be controlled by DemocratsC. the land within Indian Territory would be claimed by MexicoD. the power wielded by East Coast politicians would increase Find the perimeter of the figure to the nearest hundredth.6 cm10 cm8 cm12 cm From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 12 miles, and the eastbound train has traveled 16 miles. How far apart are the two trains, measured in a straight line? Find the area of the trapezoid. Round your answer to the nearest hundredth. Just need some help. which statement would most likely be a belief shared by both Martin Luther and John Calvin?