Find the values of a and b
please I will mark brainliest.
(make sure to show your work)
Answers
Answer:
The required values are a = 29°, b = 20°
Step-by-step explanation:
Angles and Lines
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
Related Questions
Plz help fast answer
Answers
Coastal
Graphic
Heroic
Dramatic
Angelic
Betrayal
Bacterial
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
What is 12x³ – 9x² – 4x + 3 in factored form? hurry...
Answers
Answer:
Combine Like Terms:
=1728+−9x^2+−4x+3
=(−9x^2)+(−4x)+(1728+3)
= −9x^2+−4x+1731
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
Answers
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answers
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
What is the square root of 10,000 in simplest radical form?
Answers
Answer:
Step-by-step explanation:
the answer is 100
Which equations and/or functions represent the graphed line? Select three options.
f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)
Answers
Answer:
The second one, the fourth one, and the fifth one.
f(x)=(1/2)x+2
y-3=1/2(x-2)
y-1=1/2(x+2)
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.
The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:
f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.
f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.
f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.
y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.
y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
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What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answers
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
( Which of the following best describes an ecosystem in a neighborhood garden?
Answers
How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?
I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.
Answers
21 x 11 = 231
Mark worked 21 Hours, Jack worked 37 Hours.
Answer:
Jack earns $37
Mark earns $21
Step-by-step explanation:
m + j = 58
11m + 10j = 601
j = 58 - m
11m + 10(58 - m) = 601
11m + 580 - 10m = 601
1m = 601 - 580
m = 21
j = 58 - m
j = 58 - 21
j = 37
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answers
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
standard form for y=mx+b
Answers
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.
Answers
353.25
a=(3.14*15^2)/2
a=706.5/2
a=353 sq in
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
Answers
The amount of the school supply kit after the discounted price is $ 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
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Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets
Answers
Answer:
100 ticketsStep-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
100 tickets
Step-by-step explanation:
Hi and goodbye
The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?
Answers
9514 1404 393
Answer:
$500
Step-by-step explanation:
The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...
C = 45·10 +50 = 450 +50 = 500
The greatest value in the range for this situation is $500.
A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
Answers
Answer:
22.5 miles
Step-by-step explanation:
15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
Answers
Answer:
Elena's move will lead to the solution of the problem
Step-by-step explanation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning
Given:
7.5d = 2.5d
Lin divides each side by 2.5d, Lin:
7.5d / 2.5d = 2.5d / 2.5d
3 = 1
This can not be the solution to the problem because 3 can not be Equal to 1
Elena subtracts 2.5d from each side
7.5d = 2.5d
7.5d - 2.5d = 2.5d - 2.5d
5d = 0
This can lead to the solution of the problem
Elena's move will lead to the solution of the problem
Which of the following equations is equivalent to 4x -y=3`?
Answers
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answers
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.
what is 3/4 divided by 1/2
Answers
At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?
For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true
Answers
Answer:
all answers are true I think
ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answers
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answers
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
please help me, i need this so much
Answers
Answer:
Do you have insta cus if u do follow _l.bartlett
Step-by-step explanation:
1. x<-3
2. z[tex]\leq[/tex] -5
3. y<2
4. 3 [tex]\leq[/tex]x<7
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .
Answers
Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?
Answers
Answer:72
Step-by-step explanation:
Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?
Answers
Answer:
10 cups in total.
Step-by-step explanation:
4.8+5.2= 10.00
add the .2 to the 4.8 you get get 5 then add 5.0+5.0
31q=7.037 what is the value of q??
Answers
Answer:
0.227
Step-by-step explanation:
q=7.037/31
q=0.227
I’ll give BRAINLIEST just pls help :(
Answers
Answer:
September
December
May and December
Step-by-step explanation:
I am not sure about the last one
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 0.3x plus 24, 5x, and 0.2x minus 15.
Answers
Answer: The expression is 5.5x + 9 for the perimeter of the triangle described.
Step-by-step explanation: Add the three lengths given to find the perimeter.
0.3x + 24,
+ 5x,
+ 0.2x - 15 Combine like terms
=5.5x + 9
Answer:
The perimeter is the sum of all sides.
Step-by-step explanation: