∠A and∠B are vertical angles. If ∠A=(3x−21) ∘ and ∠B=(2x−13) ∘ , then find the value of x.

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

Vertical angles are equal

<A = <B

3x-21 = 2x-13

Subtract 2x from each side

3x-2x-21 = 2x-13-2x

x-21 = -13

Add 21 to each side

x-21+21 = -13+21

x = 8


Related Questions

Bob's Bagels offers pre-paid cards and has the specials shown. Carol has a $50 card she uses to buy coffee and a bagel each week. Diego has a $60 card he uses to buy tea and a breakfast sandwich each week. Write and solve an inequality to find the number of weeks in which the balance on Carol's card will be greater than the balance on Diego's card.

Answers

Answer:

50-3W ≤ 60-5w

Number of week = 5 days

Step-by-step explanation:

Given:

Carlo card = $50

Diego card = $60

Note:

Coffee and Bagel = $3  

Tea and breakfast sandwich = $5

Computation:

Number of week = W

50-3W ≤ 60-5W

Number of week = 5 days

You’re just solving for a variable

Answers

Step-by-step explanation:

(ab/4) +bc = 12 -xc

multiply both sides by 4

ab + 4bc = 48 - 4xc

Transfer -4xc to the other side

ab + 4xc + 4 bc = 48

Transfer ab to the other side

4xc + 4bc = 48 - ab

take c as a common factor

c( 4x - 4b) = 48 - ab

divide both sides by ( 4x - 4b)

c ( 4x - 4b)/( 4x - 4b) = (48- ab)/( 4x - 4b)

c = ( 48-ab)/( 4x - 4b)

Each floor of a building is 12.1 feet tall. If the height of the building is 193.6 feet, how many floors does the building have? You must show your work to receive all possible points.

IS this enough, pls help.

Answers

Answer:

Yes, you showed your work.

Step-by-step explanation:

can anyone help me if i dont get my grade up i wont get to go to my vollyball games

Answers

Answer:

x = 63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

We need to find the LCD first in order to add the fractions:

7*3 = 21

3*7 = 21

21*1 = 21

So the LCD is 21.

Next, we need to make sure that the fractions have the same denominator in order to add:

-6/7x - 5/21x + 1/3x = -48

-18/21x - 5/21x + 7/21x = -48

-16/21x = -48

Multiply both sides by the reciprocal of -16/21 (21/-16) to get x by itself:

(21/-16)(-16/21)x = -48(21/-16)

x = 63

Grayson works in a department store selling clothing. He makes a guaranteed salary
of $350 per week, but is paid a commision on top of his base salary equal to 20% of
his total sales for the week. How much would Grayson make in a week in which he
made $925 in sales? How much would Grayson make in a week if he made x dollars
in sales?

Answers

Step-by-step explanation:

a) $350 per week

20% commission on sales

For $925 in sales, commission is

20/100 × 925 = $185

Total earning = $350 + $185 = $535

b) For $x in sales, commission is

20/100 × x = 1/5 × x = x/5 or 0.2x

Total earnings = $350 + $ x/5 or $350 + $0.2x

90. The number of daily evening newspapers in the United States has decreased by 46.5% to
389 newspapers between 2000 and 2015. How many daily evening newspapers were there in
2000? I

Answers

Answer:

700

Step-by-step explanation:

Given:

Daily evening newspapers in 2015 = 389

Percentage decrease from 2000 to 2015 = 46.5%

To find:

Number of newspapers in 2000 = ?

Solution:

Let the number of newspapers in 2000 = [tex]x[/tex]

When 46.5% of the total newspapers in 2000 ([tex]x[/tex]) is subtracted from the total  newspapers in 2000 ([tex]x[/tex]), it will be equal to the number of newspapers in 2015.

Making the equation as per the given statement:

[tex]x-x\times 46.5\%=389\\\Rightarrow \dfrac{100x-46.5x}{100}=389\\\Rightarrow 53.5x=38900\\\Rightarrow x\approx \bold{727}[/tex]

Therefore, the answer is:

There were 727 newspapers in 2000.

I NEED HELP NOW PLEASEE

Answers


It is c sorry if it is wrong ok ...
The answer would be c

Point P is the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?

Answers

Answer:

[tex]PZQ = 63[/tex]

Step-by-step explanation:

Given

[tex]OZQ = 125[/tex]

[tex]OZP = 62[/tex]

Required

Determine PZQ

Since P is an interior of OZQ, we have that:

[tex]OZQ = OZP + PZQ[/tex]

Solve for PZQ

[tex]PZQ = OZQ - OZP[/tex]

Substitute values for OZQ and OZP

[tex]PZQ = 125 - 62[/tex]

[tex]PZQ = 63[/tex]

Identify the slope of the following equation . y=4/5x+8​

Answers

Answer:

4/5x is your slope and 8 is your y intercept

Step-by-step explanation:

GUYS TIMED PLEASE HELP!!! A line passes through (-3,-4) and (6,2) what’s the x-in
A- -3
B- -2
C- 2
D- 3

Answers

D. x=3

Explanation: y-2=(2/3)(x-6)
set y=0 and solve for x
-2=(2/3)(x-6)
-3=x-6
x=3

break down 26 and 8 into factors

Answers

Answer:

26: 1 and 26, and 2 and 13

8: 1 and 8, and 2 and 4

Step-by-step explanation:

There are seven rows of nine people how many people are there in

Answers

If there is 7 rows of 9 people then you can multiply 7 by 9 then you get 63, so there is 63 people in there. Tell me if this was the answer you were looking for :)

The three interior angle measures of this triangle are x= °, y= °, and Z= °

Answers

Answer:

z+100=180

z=180-100

z=80

x+150=180

x=180-150

x=30

x+z+y=180(ASP)

30+80+y=180

110+y=180

y=180-110

y=70

hope it helps you!

DITII
Deyuences
SAQ 1: What is the importance of having the steps in formulating an explicit formula?​

Answers

Answer:

The importance of having the steps in the formulation of an explicit formula are;

1) It promote repeatability of the derivation

2) It ensures traceability so as to outline the areas covered by the proof of the formula

3) It provides proof of the validity of the formula

4) It provides a improved insight into the given problem

5) It improves understanding of the problem

6) It serves as a back bone for more advanced proofs

Step-by-step explanation:

Why would two lines be parallel to each other based on where the congruent angles are positioned

Answers

Parallel lines NEVER intersect, therefore, they must have congruent angles that are the same, and be in a position that doesn’t make them cross over each other.


Jeleah is buying a dress for her
winter formal. Her total came
to $63, including tax. If the tax
was $4.60, then what was the
cost of the dress?

Answers

Answer: 58.4

Step-by-step explanation:

63 - 4.60 = 58.4

plz mark brainliest

Answer:

$67.60 is the total cost

Step-by-step explanation:

1. you have to add the taxes to the real price

63.00+4.60

Three fourths of a number decreased by 10 is greater than or equal to 5

Answers

Your equation will be the following.

3/4x-10≥5

Three fourths of a number would be [tex]3/4x[/tex]

Decreased by 10 would be subtracted by [tex]10[/tex].

Greater than or equal to 5 would be [tex]\leq 5[/tex]

If this helped please mark me as brainliest!

4x + 5 = 9 + 4x please answer

Answers

Answer:

no solutions

Step-by-step explanation:

4x + 5 = 9 + 4x

Subtract 4x from each side

4x-4x + 5 = 9 + 4x-4x

5 = 9

This is not a true statement so there are no solutions

Step-by-step explanation:

4x + 5 = 9 + 4x

4x - 4x = 9 - 5

0 = 4

CMIIW

3-6 x (3 4th dived by 3 0) 2

Answers

Step-by-step explanation:

3 - 6 x ( 3/4 ÷ 3) 2

is this the correct equation? I'll solve it as long as i have the correct equation, but unsure as to if the 3 and 0 are supposed to be a fraction, decimal or multiplied etc

PLEASE HELP!? i need to ro this for my exit ticket asap

Answers

Answer:

It should be -3

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

[tex]m\angle ABD + m\angle DBC = m\angle ABC\\

2x + 2x - 3 = 81\degree \\

4x - 3 = 81\degree \\

4x = (81+3)\degree \\

4x = 84\degree \\

x = \frac{84}{4}\\

x = 21\\\\

m\angle ABD = 2x = 2*21\degree = 42\degree [/tex]

solve the inequality 8(x - 2) + 9 < 3(x - 1) + 5x​

Answers

Answer:

no solution

Step-by-step explanation:

State whether the lines are parallel, perpendicular, or neither. Show your work.
10x–5y=100 and 6y+3x=−7
PLZ SHOW WORK

Answers

Answer:

-5y=-10x+100

y=2x-20

6y=-3x-7

y=-1/2x-7/6

Perpendicular because the slopes are opposite

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it
takes to run that distance.
Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?
For each 1 minute, the runner ran 9.5 miles.

Answers

The missing choices are:

(A) for each 1 minute, the runner ran 9.5 miles.

(B) for each 9.5 minutes, the runner ran 1 mile.

(C) the minimum distance with a recorded time is 9.5 miles.

(D) the maximum distance with a recorded time is 9.5 miles.

Answer:

The interpretation that describes the line best fit of y = 9.5 x is: for each 9.5 minutes, the runner ran 1 mile.  ⇒ (B)

Step-by-step explanation:

Since the equation of the line best fit is y = 9.5 x, where

x is the number of miles runy is the time in minutes9.5 is the rate of change of the time to the mile

The rate of change = change of y/ change of x

∵ y represents the time in minutes

∵ x represents the distance in miles

∴ The rate of change = minutes / mile

∵ The rate of change = 9.5 minutes / 1 mile

∴ The interpretation describes the line best fit is:

   For each 9.5 minutes, the runner ran 1 mile

Answer:

b on edge

Step-by-step explanation:

The grades on a chemistry midterm at Springer are roughly symmetric with μ=67\mu = 67μ=67mu, equals, 67 and σ=2.0\sigma = 2.0σ=2.0sigma, equals, 2, point, 0. William scored 66 on the exam. Find the z-score for William's exam grade. Round to two decimal places.

Answers

Answer: - 0.50

Step-by-step explanation:

Given the following :

Mean score = 67

Standard deviation = 2

To obtain the Zscore, use the relation:

Zscore = (X - mean) / standard deviation

Williams score = 66 = X

Hence,

Zscore = (66 - 67) / 2

Zscore = - 1 / 2

Zscore = - 0.50

I neeeeed it rnnnnnnnn pls

Answers

Answer:

its greater

Step-by-step explanation:

Mrs. Martinez had $150.55 in her checking account. She wrote checks for the following amounts: $45.76, $35.00, and $79.82. What is the new balance in Mrs. Ming's checking account.

Answers

Answer:

160.58

Step-by-step explanation:

Answer:

= -10.03 if u subtract if u add its =160.58

Step-by-step explanation:

NEED HELP ASAP!! WILL MARK BRAINLIEST!!

A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x^2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.

Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)

Answers

Answer:

at goal post x= 35

the height will be y= –0.03x2 + 1.6x= 19.25 > 15  

is 4.25 feet above the goal post.

Step-by-step explanation:

Hope this helps

Ellen can purchase 5 apples for $1.75. How many apples can she get for $1.00

Help!!!

Answers

Answer:

She can get 2

Step-by-step explanation:

2 multiplied by 35 equals 70 and 3 multiplied by 35 is 1.05 so Ellen can only get 2 apples

Hope it helps :)

Brainliest pls? Have a good day/night

x=-4/9 x=-5/4 NEED HELP GETTING TRINOMIALS FROM SOLUTIONS

Answers

Answer:

The equation 36x^2 + 61x + 20 = 0 solves to x = -4/9 or x = -5/4

==========================================================

Explanation:

x = -4/9 or x = -5/4 .... given solutions

9x = -4  or 4x = -5 .... multiply both sides by denominator

9x+4 = 0 or 4x+5 = 0 .... get everything to one side

(9x+4)(4x+5) = 0 .... zero product property

y(4x+5) = 0 ...... let y = 9x+4

y*4x + y*5 = 0 .... distribute

4xy + 5y = 0

4x( y ) + 5( y ) = 0

4x( 9x+4) + 5( 9x+4 ) = 0 ... plug in y = 9x+4

4x*9x + 4x*4 + 5*9x + 5*4 = 0 ..... distribute

36x^2 + 16x + 45x + 20 = 0

36x^2 + 61x + 20 = 0

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

The equation 36x^2 + 61x + 20 = 0 has the two solutions x = -4/9 and x = -5/4

We can use the quadratic formula to confirm this.

What is the rate of change (slope) of that line that passes through the points ( -8,62) (-6,34)

Answers

Answer:

The Slope is -14

Step-by-step explanation:

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