What theorem would you use to solve for x?

What Theorem Would You Use To Solve For X?

Answers

Answer 1

9514 1404 393

Answer:

  Triangle Angle Sum

Step-by-step explanation:

Corresponding angles applies to parallel lines crossed by a transversal, or to angles in similar figure. The term has no meaning in this geometry.

Supplementary angles refers to a pair of angles that have a sum of 180°. Usually these are seen in quadrilaterals and figures involving parallel lines. The term has no meaning in this geometry.

The Pythagorean theorem relates side lengths in a right triangle. It has no utility in this geometry. Here we're concerned with angles, not sides.

__

The theorem useful for finding x is the Triangle Angle Sum theorem, which tells you the sum of angles in a triangle is 180°. That theorem lets you write a linear equation involving x, so that x can be found.

_____

  (3x -2) +(x +8) +(2x +3) = 180

  6x +9 = 180

  x = 171/6 = 28.5°

The three angles are 36.5°, 60°, 83.5°.


Related Questions

The proportion of American adults who spend between 6 and 9.99 hours a day, inclusive, on digital devises is approximately 1/3. The proportion of Americans adults who spend more than 9.99 hours on a digital dev is approximately 2/7. Find the proportion of American adults who spend at least 6 hours on digital devices. Write your result as a fraction.

Answers

Answer: 13/21 of the American adults spend at least 6 hours on digital services.

Step-by-step explanation:

The proportion that spends between 6 hours and 9.99 hours is 1/3

The proportion that spends more than 9.99 hours is 2/7

We want to find the proportion who spends at least 6 hours.

This is easy, we just need to combine the two groups from above, and that will give use the proportion that spends 6 hours or more.

We only need to add:

1/3 + 2/7

Now, the first problem we see here is that the denominators are different, then we need to rewrite both fractions to have the same denominator.

We know that 3*7 = 21, then we can use 21 as the common denominator, by multipliying by 7/7 (this is equal to 1) the first fraction, and by 3/3 the second one:

1/3 = (1/3)*1 = (1/3)*(7/7) = 7/21

2/7 = (2/7)*1 = (2/7)*(3/3) = (3*2)/21 = 6/21

Then the previous sum becomes:

1/3 + 2/7 = 7/21 + 6/21 = 13/21

This means that 13/21 of the american adults spend at least 6 hours on digital services.

I'm confused on how this works

Answers

It's like a graph, you create a ratio using the x, and y or whichever numbers you're using.

9514 1404 393

Answer:

  A'(-6, 12), B'(12, -3), C'(-3, -6)

Step-by-step explanation:

When the center of dilation is not specified, it is presumed to be the origin (0, 0). When that is the case, dilation multiplies every coordinate value by the dilation factor. For example, the x-coordinate of A is -2. The dilation factor is 3, so the x-coordinate of A' is 3(-2) = -6, as shown in your figure.

The same applies to all of the coordinates. (We assume you know how to multiply by 3.)

On the graph, each point moves to 3 times the original distance from the origin, in accordance with the new coordinates. The result is shown in the attachment.

Simplest form for 4 1/10

Answers

Answer:

That is the simplest form.

Step-by-step explanation:

do bank tellers need a community college degree?

please help me​

Answers

Answer:

NO: FALSE

Step-by-step explanation:

becauase I am just that smart.

PLEASE HELP I WILL GIVE BRAINLIEST!





The coordinates of three corners of a square are (1, 7), (5, 3), and (9, 7). What are the coordinates of the fourth corner of the square?

A.
(5, 7)

B.
(5, 11)

C.
(9, 1)

D.
(13, 3)

Answers

Answer:

i think d is the correct one

Answer:

It's be 5,11

Step-by-step explanation:

HELPPP ME PLEASE ILL MARK YOU AS BRAINLIEST

Answers

Answer:

approximately at 4, -1

Step-by-step explanation:

What is the slope of the line that passes through the points (8,-4) and (6,3) in simplest form

Answers

Step-by-step explanation:

Rise of y-value = (-4) - (3) = -7.

Run of x-value = (8) - (6) = 2.

Slope of the line = Rise / Run = (-7) / (2) = -3.5.

Determine the values of a, b, and c for the quadratic equation

3x2−5x+6=0

Answers

Answer:

The values of a, b, and c for the quadratic equation

a=3

b=-5

c=6

Answer:

-24

Step-by-step explanation:

=3×2-5×+6

=3×2-(5×+6)

=3×2-(+30)

=3×2-30

=6-30

=-24

Someone help me there’s a time limit on it

Answers

Answer:

P=3

Step-by-step explanation:

8p =24

P= 24/8

P= 3

In triangle ABC AB is equals to AB and Angle B equal to 80 find the angle A​

Answers

Answer:

∠A = 20°

Step-by-step explanation:

Given:

Line AB equal to line AC

So, we can say that;

∠B = ∠C

So

∠B = ∠C = 80°

Using angle sum rule

∠A + ∠B + ∠C = 180°

∠A + 80° + 80° = 180°

∠A = 20°

10 points and marked brainliest!!!!!

Answers

Answer:

y = 4

Step-by-step explanation:

In this situation, because all the angles have the same arc mark, they must have the same measure which means that the triangle is equiangular. Therefore, you can use the definition of an equilateral triangle which states that if the triangle is equiangular, it must be equilateral which means that all sides are the same. This is because x + x + x = 180 → 3x = 180 → x = 60. When you learn trigonometry, you will realize that the proportion of sides corresponds to the angles. Or you could experiment and you may realise that if the angles of the triangles are all 60° then you can only form a triangle where the sides are all equal. If all sides are the same, then 9y - 3 = 7y + 5

So if 9y - 3 = 7y + 5, then

9y - 3 = 7y + 5 →

[subtract 7y from both sides]

9y - 7y - 3 = 7y - 7y + 5 →

2y - 3 = 5 →

[add 3 to both sides]

2y - 3 + 3 → 5 + 3 → 2y = 8 →

[divide both sides by 2]

y = 4

An equation is shown.
30+12=x(5+2)
What’s factor (x) is missing from the equation

Answers

Answer: x = 6

Step-by-step explanation:

30 + 12 = x (5 + 2)

x (5 + 2) = 30 + 12

x (7) = 42

7x = 42

Divide both sides by 7

x = 6

Answer:

30+12=x(5+2)

or,42=7x

or,x=42÷7

So,x= 6

how do i solve this pls help me i got 30 mins left :(

Answers

Do you have Photomath? You can scan the question and it will give you the answer!

Which list contains four points on the same line?
A)
{ (0,0), (1, 1), (2, 4), (3,9)}
B)
{(0,0), (1, 1), (2, 2), (3, 3) }
C)
{ (0, 1), (1, 2), (2, 4), (3, 8) }
D)
{(0,0), (1, 1), (2, 8), (3, 27) }

Answers

Answer:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }

Step-by-step explanation:

B)

{(0,0), (1, 1), (2, 2), (3, 3) }contains four points on the same line.

what is the measure of BCA?

Answers

Answer:

The answer is 45 degrees

PLS HELP
what is the slope of the line??

Answers

Answer:

The slope of the line is:

[tex] -\frac{5}{2} [/tex]

Step-by-step explanation:

Remember that:

[tex]slope = \frac{rise}{run} [/tex]

Answer:

-5/2

Step-by-step explanation:

Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95. Write an equation to find the number of hour, h, that the plumber worked. ​

Answers

The answer is 2.25h when we do theese equation
95-50=45
45/20=2.25h

Answer:

4.75 h

Step-by-step explanation:

3√27 + √9 the answer for this question​

Answers

Answer:

6

Step-by-step explanation:

∛27=3

√9=3

3+3=6

Please give brainliest if this helped and thank me

Mmmm The Solve is six

Find the slope of the line represented by the data below

Answers

Answer:

Slope = -4

Step-by-step explanation:

Let us solve the question

∵ The slope of the line is m = Δy/Δx

∵ Δy is the change of y ⇒ Δy = y2 - y1

∵ Δx is the change of x ⇒ Δx = x2 - x1

→ Choose from the table x1, y1 and x2, y2

x1 = -3 and y1 = 12

x2 = -2 and y2 = 8

→ Use them to find Δx and Δy

∵ Δx = -2 - (-3) = -2 + 3 = 1

Δx = 1

∵ Δy = 8 - 12 = -4

Δy = -4

→ Use them to find the slope

∵ m = Δy/Δx

∴ m = [tex]\frac{-4}{1}[/tex]

m = -4

∵ m is the slope of the line

The slope of the line is -4

I need the fully simplified slope-intercept form

Answers

The equations is : y=-1/4x -6

The line intercepts the y axis at -6 and from there it is one down and 4 to the right.

Roger is a great pitcher. He strikes out 1 out of every 3 batters he
faces. If he struck out 5 batters in 1 game, about how many batters
would he have faced?

Answers

He would have faced 15 batters because the ratio of strikes is 1 to 3 so you would put the 5 in the ones place and multiply it by the 3 which makes 15.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 14
and DC 4, what is the length of AC? (Note: the figure is not drawn to scale.)

Answers

Answer:

49

Step-by-step explanation:

∠BAD = ∠DBC       (90-∠ABD)

∠C = ∠C

ΔABC similar to ΔBDC

AC/BC = BC/AC

x/14 = 14/4

x = 14*14/4 = 49

A refreshment stand makes 7 large servings of frozen yogurt from 9 pints. Graph the
line and then write its equation. Let the x-axis represent the number of pints and the y-axis represent the number of servings. Use only fractional form, if necessary.

(I will mark you as a Brainliest if you answer correctly:))

Answers

Answer:

y = (7/9)x

Step-by-step explanation:

The equation of a straight line is given as y = mx + b, where y and x are variables, m is the rate of change = change in y / change in x, while b is the y intercept (value of y when x = 0).

When no pint is used, there is no frozen yoghurt. But from 9 pints, 7 large servings of frozen yogurt is made. Let x represent the number of pints and the y represent the number of servings.

Hence, using y = mx + b, we get b = 0, because at 0 pint there is no servings. The equation be comes y = mx

m = change in y / change in x = 7 servings / 9 pints

m = 7/9

The equation is:

y = (7/9)x

Solve the equation | w + 1.5 = 8.75

Answers

Answer:

8.75-1.5=7.25

w=7.25

Step-by-step explanation:

Answer:

w = 7.25

Step-by-step explanation:

w + 1.5 = 8.75

To find what w is, you need to isolate.  To isolate w from 1.5, you have to subtract 1.5 by 1.5.

w + 1.5-1.5 = 8.75

What you do to one side of the equal sign, you have to do to the other

w + 1.5-1.5 = 8.75 - 1.5

1.5-1.5 cancels out and 8.75 - 1.5 equals to 7.25

w = 7.25

HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression? This is unit is The Division Law of Exponents.

Answers

The answer is C. 5^4

carlos se desplaza 7m a la isquierda y luego 10m a la derecha ¿a que distancia esta el punto de partida por favor resuelvanlo es urgente el tema es numeros negativos gracias

Answers

- 7 + 10

= 3

-- i do not speak spanish, but i have used a translator haha.

How to find x (similar triangles)

Answers

Answer:

x = 2

Step-by-step explanation:

Parallel lines divides the transversals in proportion.

Therefore,

[tex] \frac{9}{4} = \frac{13.5}{x + 4} \\ \\ 9(x + 4) = 13.5 \times 4 \\ \\ 9(x + 4) = 54 \\ \\ x + 4 = \frac{54}{9} \\ \\ x + 4 = 6 \\ \\ x = 6 - 4 \\ \\ x = 2[/tex]

A, B, C, or D
Help I don’t get this

Answers

Answer:

in a triangle there is only two sides that are the same length.

Answer:

Thus the answer is A. 10 cm, 6 cm, 4 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The first combination y=6 cm z=4 cm produces the condition:

6 - 4 < x < 10

2 < x < 10

The third side is x=10 cm and it does not satisfy the inequality.

The rest of the combinations produce true inequalities:

B. 1 < x < 15 and x=9 satisfies the conditions

C. 1 < x < 9 and x=8 satisfies the conditions

D. 6 < x < 14 and x=10 satisfies the conditions

Thus the answer is A. 10 cm, 6 cm, 4 cm

A label is placed around the juice box below, not including the bases. Determine the surface area.

Answers

Answer:

add all the sides up or 1.8 X 4 because its gonna be a square

Answer:

Step-by-step explanation:

It would be 12.96

In kite WXYZ, mZWY = 41° and mXYW = 11°


What is mWZY?

Answers

Answer:

128°

Step-by-step explanation:

In kite WXYZ, WY and XZ are longer and smaller diagonals respectively.

Longer diagonal bisects the opposite angles.

[tex] \therefore m\angle ZYW =m\angle XYW[/tex]

[tex] \because m\angle XYW = 11\degree... (given) [/tex]

[tex] \therefore m\angle ZYW =11\degree [/tex]

[tex] In\: \triangle WYZ[/tex]

[tex] m\angle ZYW + m\angle ZWY + m\angle WZY=180\degree [/tex]

[tex] 11\degree + 41\degree+ m\angle WZY=180\degree [/tex]

[tex] 52\degree+ m\angle WZY=180\degree [/tex]

[tex] m\angle WZY=180\degree - 52\degree [/tex]

[tex] \purple{\bold {m\angle WZY=128\degree}} [/tex]

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