The measure of the supplement of ∠BAC is (18x+22) degrees. The measure of the complement of ∠BAC is (9x-5) degrees. Determine m∠BAC.

The Measure Of The Supplement Of BAC Is (18x+22) Degrees. The Measure Of The Complement Of BAC Is (9x-5)

Answers

Answer 1

Answer:

∠ABC = 32°

Step-by-step explanation:

We know that the two angles are termed as supplementary when their angle measures add up to 180 degrees.

Given that the measure of the supplement of ∠BAC is (18x+22) degrees.

so

∠ABC +  (18x + 22)° =180°

∠ABC +  18x  =180°-22°

∠ABC +  18x  =158°

∠ABC = 158° - 18x ----[Equation A]

We know that the two angles are termed as complementary when their angle measures add up to 90 degrees.

Given that the measure of the complement of ∠BAC is (9x-5) degrees.

so

∠ABC +  (9x-5)° =90°

∠ABC +  9x  =90°+5°

∠ABC +  9x  =95°

∠ABC = 95° - 9x ----[Equation B]

Equating [Equation A] and [Equation B]

158° - 18x = 95° - 9x

-18x+9x = 95° - 158°

-9x = -63

divide both sides by -9

x = 7

Now, substituting the value x=7 in the [Equation A]

∠ABC = 158° - 18(7)

          = 158° - 126°

          = 32°

Thus,

∠ABC = 32°


Related Questions

Joshua has a box of oranges. Three of the oranges are rotten. If 15% of the oranges are rotten, how many oranges are in the box?

Answers

I think its 15 ... because there are 12 good ones and 3 bad ones and if you add those it equals 15

Answer:

20 oranges

Step-by-step explanation:

Evaluate 2^-5

A. -32
B. 1/32
C. -1/32
D. 32

Answers

Answer: B

Step-by-step explanation:

Given the following formula, solve for y
w=x-y/2 -z

A. y=2w+z-x
B.y=x-2(w+z)
C.y=x-(2w+z)
D.y=2(w+z)-x

Answers

Answer:

Step-by-step explanation:

w=x-y/2-z

y=-2w+2x-2z

Please help me? Solve for x

Answers

Answer:

3

Step-by-step explanation:

15x

15

the 15 cancels out then you have

15/5 which is 3

See the attachment....

A sign on the road says: "Speed limit, 60 miles per hour."Let s be the speed of a car. Write an inequality that matches the information on the sign .Could 60 be a value of s? Explain your reasoning.

Answers

Answer:

s ≤ 60 mph

Step-by-step explanation:

Speed limit is given in order not to exceed it

Therefore the equation would be:

s ≤ 60 mph

s = 60 is allowed as per the equation, since you are not exceeding this speed.  As per the rule, s = 60 mph is the maximum speed at which the vehicle is permitted to travel.

Answer:

Step-by-step explanation: h


Graph the line 2y-6x+4=0 on Tell me the slope and y-intercept
sloper
y intercept=
Blank 1:
Blank 2:

Answers

Answer:

Slope: 3

Y-intercept: (0, -2)

Step-by-step explanation:

Lisa wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
a. Domain:
b. Range

(Sorry I keep asking so many questions it’s because these questions are questions of things I have NEVER learned at all yet and it is a new module. When people explain and show me the work I write them in my book with the explanations as well when people put them down and that is how I start to learn this ahead of time.)

Answers

Answer:

Domain: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: x≥0.

Range: interval: [0,∞], Words: All real numbers greater than or equal to 0, Inequality: y≥0.

The domain and range of the function shown is

domain  [tex]x\geq 0[/tex]

range [tex]y\geq 0[/tex]

Given :

The graph of  the area of a rectangle changes with the length if it’s width is fixed

We need to find out the domain and range from the given graph

Domain is the set of x values on the graph

We can say the graph starts at x=0  and it goes up to infinity

So, domain is [tex]x\geq 0[/tex]

Range is the set of y values for which the function defined

Range is the set of y values on graph

When we look at y values , the graph starts at y=0 and it goes up to infinity

So, range is [tex]y\geq 0[/tex]

Learn more :  brainly.com/question/17013026

Express 4 2/5% as a decimal and a fraction
ASAP pls

Answers

Answer:

0.044 11/250

Decimal Fraction

For which values of x will the rational expression below be unidentified? (x-1)(x+1)/x+2​

Answers

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{(x-1)(x+1)}{x+2}[/tex]

The denominator of the rational function cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 2 = 0 ⇒ x = - 2 ← excluded value

Answer:

C. -2

Step-by-step explanation:

Any number divided by 0 is undefined. So, find the value of x that will make the denominator(x + 2)  equal to 0:

x + 2 = 0

Subtract 2 from both sides of the equation to find the value of x:

x = -2

The only value of x that could make the denominator 0 is x = -2.

Hope this helps :)

A cookie recipe calls for 1 pound of butter. How many kilograms of butter would be needed for 3 batches?

Answers

Answer:

1.36078

Step-by-step explanation:

Are the given ratios proportional?
4
9
11
5
yes
Or No

Answers

Answer:

No, there is no sequence to be followed here.

Step-by-step explanation:

No they have absolutely no correlation

1.5 ounces cost 2.40
How my much will 5 ounces cost?

Answers

Answer:

12$

Step-by-step explanation:

2.4*5=$12

What is -2.63 + 3 1/4

Answers

Answer:

5.88.........................

.

PLEASE HELP ME URGENT I BEG OF U WILL MARK AND 5 STARS

Answers

Answer:

the answer is (A)

Step-by-step explanation:

a complementary angle is 90 degrees

The sides of a rectangle are scaled to be 1/4 of their original size

What describes the effect of the scaling on the surface area?


A. The surface area of the new prism is 1/4 as large as the original prism.

B. The surface area of the new prism is 1/8 as large as the original prism.

C. The surface area of the new prism is 1/16 as large as the original prism.

d. The surface area of the new prism is 1/24 as large as the original prism.

Answers

The answer is in fact D


In the diagram, what is AC?
A. 6
B. 12.33
C. 10
D. 12

Answers

Answer:

C

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

C. 10

Step-by-step explanation:

I just took the test on edmentum and got a 100%

can someone help me:) thank you!​

Answers

A hope this helps!!!!!

Answer:

C) 11

Step-by-step explanation:

It would need to be more than 5....and that is the only one.


The quadratic function f(x) has real coefficients. Given that f(3 - 2i) = 0, what must be the
other solution to the equation f(x) = 0 ?

Answers

Answer:

Option (C)

Step-by-step explanation:

Conjugate root theorem:

If (a - bi) is a root of a polynomial with real coefficients, then (a + bi) will be the other root.

By this theorem, if (3 - 2i) is one root of the quadratic function 'f', other root will be (3 + 2i).

Therefore, x = (3 + 2i) will be the other root.

Option (C) will be the answer.

Kelly read 30 pages of her 300-page book in 6 hours. At this rate, how long will it take her to read the entire book? (5 points) 60 hours 5 hours 6 hours 30 hours

Answers

Answer: 60 hours

Step-by-step explanation:

it takes 6 hours to read 30/300 or 1/10 of the book

you take 6 times 10 because you read 1/10 every 6 hours . making it be 60 hours

please help me i will literally pay you 5$

Answers

Answer:

1. 20

2. Segment SW equals 8

Step-by-step explanation:

Setup the equation 6x+5=8x and then solve for x. x comes out to be 5/2. The substitute that in for x and solve. 6(5/2)+5 and this equals 20, your solution.

Segment SW=8 because of the perpendicular bisector theorem. It states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment (i.e., equal length). This makes Segment SW=8

If you can please make my answer the brainliest that would be much appreciated. Thanks!

And gimme them $5

A recipe for a dozen iced cookies calls for 2 1/4 cups flour. Which can be used to determine the amount of flour needed to make 32 cookies?

Answers

Answer:

You can form a proportion to solve this problem.

Step-by-step explanation:

The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)

[tex]\frac{2.25}{12}[/tex]=[tex]\frac{x}{32}[/tex]

12x=72

x=6 cups of flour

Hope this helps!! :)

Answer:

You can form a proportion to solve this problem.

Step-by-step explanation:

The proportion can look like this (there are other ways to write an equal proportion but this is just one of the ways you could go about it :)

=

12x=72

x=6 cups of flour

Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?
D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)​

Answers

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y =  -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 =  -3 × 4/2 + 10

The correct option is therefore, D(4, 4).

The price of a technology stock was $9.61 yesterday. Today, the price rose to $9.72. Find the percentage increase. Round your answer to the nearest tenth of a percent. % Х $ ?​

Answers

Answer:

-1.31979695431% Round to nearest tenth its 1.3%

Step-by-step explanation:

martha invested $41.25 into a company. if each share was worth $1 1/4 how many shares did Martha invest in the company

Answers

Answer: 33 shares

Step-by-step explanation:

Amount invested in the company = $41.25

Price per share = $1 1/4 = $1.25

To calculate the amount of shares that Martha invested in the company will be:

= Amount invested in the company/Price per share

= $41.25/$1.25

= 33 shares

Martha invested 33 shares in the company.

Part A
Select the correct choices to complete the sentence.
Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Each beach towel costs $3 less than a pair of swim trunks. He spent a total of $79. Let s represent the cost of a pair of swim trunks.

Part B
Add the two expressions and set this sum equal to 79 to model the situation with an equation. Solve for s . What is the cost of one pair of swim trunks?

Answers

A)  The equation that represents the cost of a pair of swim trunks is;

2(s - 3) + s = 79

B) The cost of a pair of swim trunks is; $28.33

How to solve Algebra Word Problems?

Algebraic word problems are defined as questions that require translation of sentences to equations, and thereafter solving those equations.

Let the cost of one pair of swim trucks be s.

We are told that Each beach towel costs $3 less than a pair of swim trunks. Thus;

Cost of each beach trunk = (s - 3)

Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Thus, we have;

2(s - 3) + s = 79

2s - 6 + s = 79

3s = 79 + 6

3s = 85

s = 85/3

s = $28.33

Read more about Algebra Word Problems at; https://brainly.com/question/28339921

#SPJ1

How do you-
I cant think t-t

help

Answers

Answer:

4

Step-by-step explanation:

9x= 4x+20

5x=20

x=4

The answer should be 4 I think-

Suppose your friend multiplied 1.2 and 2.6, then got 31.2 as the product. Is your friend’s answer reasonable? Justify your response.

Answers

Answer:

no

Step-by-step explanation:

2.6*1.2=3.12

Answer: The answer is incorrect it's actually 3.12

Step-by-step explanation: The decimal was placed in the incorrect spot.

a person ate 2400 calories in a day. of these 36% came from fat. how many calories came from fat?

Answers

Answer:

864 is the answer

Find what a equals in this equation.

[tex]x(x+a)(x+3) = x(x+3)(x-3)[/tex]

Answers

Answer:

a = - 3

Step-by-step explanation:

The equation has common factors x(x + 3) on both sides

For the 2 sides of the equation to be equal, then the factor

(x + a) = (x - 3) and by comparison

a = - 3

On a recent test, you were given the table displayed and
asked to write the rule that models it.
What should the rule be for the table?
O Subtract 6 from the x value to get the y value.
O Multiply the x value by 1/2 to get the y value.
O Multiply the x value by 1/4 to get the y value.
O Add 6 to the value to get the y value.

Answers

9514 1404 393

Answer:

  A.  Subtract 6 from the x value to get the y value.

Step-by-step explanation:

Sometimes, it works well to simply try the answers to see what works. Sometimes, it works better to use a point other than the first or second.

Using the last point (x, y) = (16, 10), we can try the rules:

  subtract 6 from x: 16 -6 = 10 . . . this rule works

  multiply by 1/2: 16×1/2 = 8, not 10 . . . doesn't work

  multiply by 1/4: 16×1/4 = 4, not 10 . . . doesn't work

  add 6 to x: 16 +6 = 22, not 10 . . . doesn't work

The only rule that works is ...

  Subtract 6 from the x value to get the y value.

_____

Additional comments

You cannot always assume the table represents a linear function. In this case, all of the answer choices are linear functions, so that is a reasonable assumption. The x-values all have the same difference: 4. The y-values also all have the same difference: 4. So the slope of the line is 4/4 = 1, which tells you right away that "multiply by 1/2" and "multiply by 1/4" will be wrong.

The x-values are all greater than the y-values, so "add 6 to the x value" will not be correct. Since the slope is 1, the difference between x and y will be a constant, easily found from any table entry.

  y = x + b . . . . equation of a line with a slope of 1

  2 = 8 + b . . . . using the first table entry

  -6 = b . . . . . . . subtract 8

Then ...

  y = x - 6

Answer:

summing up what the other person said,

its a, i also did this on edge 2021,

so i can confirm:).

Other Questions
PLS ITS DUE IN 20 MINUTESEstela and Luiza are going to share 35 dolls, either in the ratio of their ages, or in the ratio of dolls they haveEstela is 9 years old and has 24 dolls already.Luiza is 12 years old and has 36 dolls already.Which ratio would be better for Estela? this is very very important so please help me !! Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamsons homeroom? Name one Executive Order issued by President Trump A study was conducted to investigate how the amount of time spent study can help predict the test scores on the content. The studying showed a positive strong linear association between these two variables. Here are the statistics:Mean of study time: 2.4 hours Standard Deviation of study time: 0.79 hours Mean of test scores: 77 points Standard Deviation of test scores: 7.7 points a. Calculate the slope of the LSRL.b. Calculate the y-intercept of the LSRL.c. Write the equation of the LSRL in context. Angle x is (2n + 12) and angle y is (3n + 18). Find the measure of angle x. Dorothy Grant is in one of the special populations that are vulnerable to abuse. Identify this population, as well as the other special populations that are most vulnerable to abuse. What is the most widespread form of family violence? NEED ASAP 11/22/20 On your first day in business, 126 people come to eat. They spend about $52 each. About how much money did you earn on your first day? Calculate the slope of the line through the two points given:a. (-3, 5) and (3, -4)b. Without graphing the line, is the line slanted up or slanted down (from left to right)? How doyou know? On a coordinate plane, a line goes through (0, 1) and (5, 0). What is the equation of the line that is perpendicular to and has the same y-intercept as the given line? The first step in taking notes to generate a summary of an audio presentation is to paraphrase central ideas. eliminate minor details. identify important words and phrases. summarize in ones own words. How many solutions can be found for the system of linear equations represented on the graph?A) no solutionB) one solutionC) two solutionsD) infinitely many solutions a triangle with angle measures of 45 45 and 90 is Write the slope intercept form of the equation of each line plz A sound argument is both andO valid ... falseO logical... invalidO logical... validO valid ... true Based on Romeos reason for being at the party and Tybalts response to seeing Romeo, how is Tybalt a foil for Romeo? Tybalt is proud, but Romeo is depressed. Tybalt is poetic, but Romeo is plain-spoken. Tybalt is focused on hate, but Romeo is focused on love. Tybalt dances at the party, but Romeo will not dance. blood enters the heart through the...a. atriumsb. ventricles Serial numbers for a product are to be made using 2 letters followed by 2 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the10 digits , with no repeats. How many serial numbers can be generated? ANSWER CORRECT AND I'LL DO ANOTHER QUESTION AND GIVE YOU 100 POINTS!!!! DUE SOON! ONLY ANSWER IF YOU KNOW IT PLEASE! GIVING BRAINLIEST!1:Define Navigation Acts, Dominion of New England, English Bill of Rights.2 Define: Mercantilism, Import, Export, Enumerated article, Legislature, Indentured servant.3: List three ways in which the Navigation Acts helped England.4: How were governments of the colonies organized? PLEASE HELP 15 POINTS 1. An architect is drawing a sketch for a new building. He uses graphs of lines on a coordinate plane to sketch outhis ideas. The architect has plotted the graph of the line 4x + 16y = 8.What is the equation of the line he has graphed in slope-intercept form? (Reduce all fractions)2Write the equation in slope-intercept form perpendicular to the original line that goes through the point(-6, -19)3Write the equation in slope-intercept form parallel to the original line that goes through the point (-8,6).