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.
Answers
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
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 = $28.33
Read more about Algebra Word Problems at; https://brainly.com/question/28339921
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1.5 ounces cost 2.40
How my much will 5 ounces cost?
Answers
Answer:
12$
Step-by-step explanation:
2.4*5=$12
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%
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:).
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:
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:
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
can someone help me:) thank you!
Answers
Answer:
C) 11
Step-by-step explanation:
It would need to be more than 5....and that is the only one.
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
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.
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
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:
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:
Express 4 2/5% as a decimal and a fraction
ASAP pls
Answers
Answer:
0.044 11/250
Decimal Fraction
What is -2.63 + 3 1/4
Answers
Answer:
5.88.........................
.
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
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 :)
Evaluate 2^-5
A. -32
B. 1/32
C. -1/32
D. 32
Answers
Answer: B
Step-by-step explanation:
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
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
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
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 mphStep-by-step explanation:
Speed limit is given in order not to exceed it
Therefore the equation would be:
s ≤ 60 mphs = 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
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
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.
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:
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
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).
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.
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
How do you-
I cant think t-t
help
Answers
Answer:
4
Step-by-step explanation:
9x= 4x+20
5x=20
x=4