In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?

Answers

Answer 1

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

Answer 2

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

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Related Questions

can someone tell me what is 2+2​

Answers

Answer:

i think its four..not sure though <3

Step-by-step explanation:

you take two fingers and take another set of two fingers and mash them together making 4 fingers!!!!

I honestly don't know at this point.

use the graph of the function f shown to determine f(-3)

Answers

I need help with this please graphing is too complicated. If anyone can help I would be very happ.

Review the table of values for function h(x).

x h(x)
8.9 3.83
8.99 –1.19
8.999 4.73
9 undefined
9.001 –4.73
9.01 1.19
9.1 –3.83
Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?

The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.
The limit does exist because h(x) is defined for all given values around x = 9, even though h(x) isn’t defined at x = 9.
The limit does not exist because h(x) is not defined at x = 9, and for a limit to exist, the function must be defined at x = 9.
The limit does exist because the values of h(x) to the right of x = 9 are all opposites of the values of h(x) to the left of x = 9.

Answers

Using lateral limits, the correct option is:

The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.

------------------------------------

For a limit of a function f(x) to exist at a point a, it is needed that:

[tex]\lim_{x\rightarrow a^-} f(x) = \lim_{x\rightarrow a^+} f(x)[/tex]

That is, it has to approach a from both sides toward the same value, it cannot be oscillating.

These limits found, approaching a from close but smaller values, [tex][tex]\lim_{x\rightarrow a^-} f(x)[/tex], and from close but greater values, [tex]\lim_{x\rightarrow a^+} f(x)[/tex], are called lateral limits.

------------------------------------

From the table, looking at the value slightly less than 9, it can be said that: [tex]\lim_{x \rightarrow 9^-} f(x) = 4.73[/tex]Looking at the value slightly more than 9, it can be said that: [tex]\lim_{x \rightarrow 9^+} f(x) = -4.73[/tex]

Since the lateral limits are different, the limit does not exist, and the correct option is:

The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.

A similar question is given that https://brainly.com/question/23630768

Answer:

A

Step-by-step explanation:

Carl is buying a couch for $650
with a sales tax rate of 7.5%. How
much will Carl spend on sales tax?

Answers

Answer:

All you have to do is find out what 7.5 percent of 650 is.

Step-by-step explanation:

The answer would be 48.75 in sales taxes

48.75 in sales tax! tell me if im right or wrong lols

Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.

Answers

Find where the two curves intersect:

y = 6x - 2x ²

y = x ²

6x - 2x ² = x ²   →   3x ² - 6x = 3x (x - 2) = 0   →   x = 0 and x = 2

Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².

Then volume of the solid is

[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]

20 POINTS!!!!!!!The monthly salary of an employee with 33 hours of training can be written as

Answers

Answer:

D-Salary(33) or S(33)

D is correct hope this helps

PLEASE HELP!! Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet. What is the X=? Width=? Length=?

Answers

the answer is 9 for both 9+7= 16 and 9-1 =8 8*16=128

The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle

Answers

Answer:

The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle

31.416

Step-by-step explanation:

The distance from the tetherball pole is the edge of the circle is 5 feet. What is the circumference of the circle

2 times Pi (3.14) times the radius (5)

Answer:

31.416

Step-by-step explanation:

2 times Pi (3.14) times the radius (5)

If p and q vary inversely and p is 8 when q is 8, determine q when p is equal to 16.

Answers

Answer:

25

Step-by-step explanation:

i smarte

Solve this please. Tell me an accurate answer for this word problem?

Answers

Answer:

81.8 kg

Step-by-step explanation:

Answer:

81.8

Step-by-step explanation:

Decimals work just like basic addition.

Line it up at the decimal point.

  46.2

+ 35.6

_______

81.8

Solve this equation: 8(3x - 6) = 6(4x + 8)

A- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has a unique solution.

B- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has infinitely many solutions.

C- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

D- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has a unique solution.

Please help this is for today

Answers

Answer:

C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

Step-by-step explanation:

8(3x - 6) = 6(4x + 8)

24x - 48 = 24x + 48

minus 24x from both sides and you get -48 = 48

A false statement means one side does not equal the other. False statement always means no solution

you can solve this equation for x, but looking at the answers it's not what the question is asking for

Drag and drop the correct volume of the cylinder into the box to find the volume of the
figure. Use 3.14 for a.

Answers

Answer:

1491.5

Step-by-step explanation:

radius is 5in so pi * 5 squared * 19 will get you this answer

On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. How tall is the actual tree?

A.
5.578 ft

B.
4.578 ft

C.
5.785 ft

D.
4.875 ft

Answers

Answer: B

Step-by-step explanation:

The height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

On a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm. Here, the scale factor is,

[tex]k=\dfrac{1\rm\; cm}{0.75\rm\; ft}[/tex]

The height of a mailbox is 6.5 cm. Let suppose, the actual tree is x meter long. Thus, the ratio of this factor is,

[tex]k=\dfrac{6.5}{x}[/tex]

Comparing both factors,

[tex]\dfrac{1\rm\; cm}{0.75\rm\; ft}=\dfrac{6.5}{x}\\x=6.5\times0.75\\x=4.875[/tex]

Thus, the height of the actual tree when on a scale drawing with a scale of 1 cm:0.75 ft, the height of a mailbox is 6.5 cm, is 4.875 ft.

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If a person is on a 1,800-calorie diet, then how many of their calories will come from fruit?

Veggies 35%

Fruit 15%

Carbs 25%

Protein 25%​

Answers

Answer:

270

Step-by-step explanation:

Convert 15% into a decimal: .15

Then multiply 1800* 0.15

This gives you 270

Answer:

270

Step-by-step explanation:

Using the human species as an example, explain what is meant by a variation of traits.

Answers

Answer:

Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.

Answer:

Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.

Step-by-step explanation:

Which rational number corresponds to point A on the number line?

Answers

9514 1404 393

Answer:

  B.  -2/3

Step-by-step explanation:

Each small division on this number line is 1/3 unit. Point A is 2 small divisions left of 0, so corresponds to the value -2/3.

A coordnata grlds shown below. Which ordered pair describes a point that is located 4 units to the left of the origin and 2 units below the x-axis? A (4,2 B. (42) C (-4,20 D. (4, -21​

Answers

Answer:

Correct answer is 4,2.

So go through it.

Solve for r. Show your work!

12 = r - (34 - 2)

Answers

Answer:

44

Step-by-step explanation:

12 = r - (34 - 2)

12 = r - 32

12+32 = r

r=44

Answer:

yEE-

Step-by-step explanation:

Whats the answer to this


Answers

Answer:

the answer is 16x2 - 16

Step-by-step explanation:

:)))

16x^2 -16 I think...

which expresssion has a value of 1​

Answers

there is no picture. so we dont know

if you can answer all three. 100 points reward

Answers

Answer:

A, A, B

Step-by-step explanation:

Answer:

15) 5    b. color the objects on the chalkboard green

Step-by-step explanation:

15)

This question needs the Pythagorean Theorem, which is a^2 + b^2 = c^2

a is a leg (opposite line to hypotenuse)

b is a leg (base line)

c is the hypotenuse (the diagonal line.)

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

then you square root the number to the left to find c

square root of 25 is 5, since 5 x 5 is 25.

Change the numbers 5 and 9 in the equation so that the graph intersects the x-intercepts on the graph. (1,0) (4,0) y= (x - 5)(x-9) ​

Answers

Answer:

y=(x-4)(x-1)

Step-by-step explanation:

We need y to be 0 and x must equal 4 and 1

The only way to make y=0

is to swap 9 and 5 for -4 and -1

is this correct help please

Answers

Answer:

I would think it would be 4 because dont you add the 2 sides?

Step-by-step explanation:

The two cylinders below are similar. What is the length of the radius of the larger cylinder? A. 15 O B. 5 O . 12 D. 6

Answers

9514 1404 393

Answer:

  D.  6

Step-by-step explanation:

The height of the larger cylinder is 15/5 = 3 times the height of the smaller one. Because the cylinders are similar, you know that the radius of the larger one will have the same multiplier of the radius of the smaller one.

The larger radius is 3 × 2 = 6.

Please explain how you got the answer

Answers

Answer:

solution given:

height [h]=7ft

side 1=7ft

side2=8ft

it is trapezium

so

area of trapezium=[tex] \frac{1}{2} 7(7 + 8)[/tex]

=52.5ft²

IF YOU GIVE RIGHT ANSWER=BRAINLIEST GUYS PLZZZ HELP!!! LINKS WILL BE REPORTED!!!

Answers

Answer:

5 cm

Step-by-step explanation:

Volume of a cylinder = π*radius^2*height

675π = π * radius^2 * 27

radius^2 = 25

radius = 5 cm

Answer:

Step-by-step explanation:

V=pi x r^2 x h

r^2 = 675pi / (pi x 27) = 25

r = 5

Which of the following is equivalent to (x - 2)^2
(x - 2)(x+2)
(2-2)(x - 2)
(x-2)(x+2)

Answers

Answer:

(x-2)(x-2) or (x+2)(x+2)

Step-by-step explanation:

since you are squaring it, technically the terms are negative, but the product will be positive. when you multiply two negative factors, you get a positive answer. so either both can be negative or both can be positive.

A tour helicopter travels at a constant rate of 80 mph. If the tour takes 2 hours, how far does the helicopter travel?
A. 40 mi.
B. 80 mi.
C. 120 mi.
D. 160 mi.

Answers

Answer:

D

Step-by-step explanation:

80 miles per hour, each hour it will travel 80 miles so for two hours tou do

80 x 2 = 160

Answer:

D

Step-by-step explanation:

80x2=40

it's just simple multiplecation but then again I cant spell multiplication so I mean

how many times can 8 go into 87

Answers

Answer:

10 times

Step-by-step explanation:

If you are talking about division, then we would do 87/8=10

Answer:

It can go 10.875  times.

Step-by-step explanation:

87/8 = 10.875

≈ 11

Hope this helps; have a great day!

How do you solve this

Answers

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

The measure of the inscribed angle is half the measure of the intercepted arc.

  9x -25 = 94/2

  9x = 72 . . . . . . . add 25

  x = 8 . . . . . . . . . divide by 9

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