50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b
Answers
Answer:
A) x = 15
Step-by-step explanation:
4x - 30 = 2x
subtract 2x from each side of the equation:
2x - 30 = 0
add 30 to each side:
2x = 30
x = 15
Answer:
[tex] \displaystyle A) {15}^{ \circ} [/tex]
Step-by-step explanation:
remember that,
when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said
[tex] \displaystyle 4x - 30 = 2x[/tex]
cancel 2x from both sides:
[tex] \displaystyle 2x - 30 = 0[/tex]
add 30° to both sides:
[tex] \displaystyle 2x = 30[/tex]
divide both sides by 2:
[tex] \displaystyle x =15[/tex]
hence
our answer is A)
Related Questions
A bicycle has a listed price of $615.98 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answers
Write your problem.
537.95 x 9.5% = ?
Step 2
Convert the % to a decimal:
9.5% to 0.095
Step 3
Rewrite the problem with decimal replacing the percentage.
Now the problem looks like this:
537.95 x 0.095 = 51.11
This problem gives the amount of the tax.
Step 4
Add the original price with the tax amount:
537.95 + 51.11 = $589.06 (total cost)
Complementary of supplementary? Find the value of x
Answers
Answer: x=6
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
Step-by-step explanation:
We know that on both 10 & 12 the angles add up to equal 90° so...
10. 8x+7x=90
15x=90
x=6
12. it's the same in pic as 10
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
The following chart shows a store?s records of sales of stuffed toys for two months. 2 circle graphs. A circle graph titled September. Teddy bears is 346, rabbits is 297, cats is 199, horses is 245, other is 225. A circle graph titled October. Teddy bears is 308, rabbits is 260, cats is 285, horses is 186, 275 is other. Which of the following are accurate assessments of trends displayed in this graph? I. Sales of teddy bears decreased by about 2.9% between September and October. II. The change in sales of rabbits is roughly equal to the change in sales of all toys. III. Roughly 24.1% fewer horses were sold in October than in September. a. I and II b. II only c. I and III d. III only
Answers
Answer:
d
Step-by-step explanation:
..........
Answer:
d
Step-by-step explanation:
e d g e
identify the pattern 3,7,11,15
Answers
Answer:
Step-by-step explanation:
3 7 11 15 19 23 27
April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have
Answers
Answer:
12
Step-by-step explanation:
If you cut them into halves then there will be twice as many pieces.
so you do:
6 x 2
= 12
help me bros, this question is a big part of my grade!!
Answers
Answer:
6.
m1 : 61
m2 : 61
m3 : 29
7.
m1 : 87
m2 : 45
m3 : 45
m4 : 52
whata 10 divided by 100
Answers
Answer:
it 10000
Step-by-step explanation:
79ib dlndokveik dinfl. kwbfb
Follow the process of completing the square to solve x2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? -8 -12 -32
Answers
Answer:
25
Step-by-step explanation:
Given the expression x^2 - 10x + 8 = 0.
According to completing the square method
Subtract 8 from both sides
x^2 - 10x + 8 - 8 = 0 - 8
x^2 - 10x = -8
Complete the square
Add the square of half of coefficient of x to both sides
Coefficient of x = -10
Half of Coefficient of x = -10/2
Half of Coefficient of x = -5
Square of Half of Coefficient of x = (-5)^2
Square of Half of Coefficient of x = 25
Add (-5)^2 to both sides
x^2 - 10x + (-5)^2 = -8 + (-5)^2
(x-5)^2 = -8 + 25
(x-5)^2 = 17
Hence the required constant that was added is 25
A bag contains 9 and 54 blue marbles. If a representative sample contains 3 white marbles, then how many blue marbled would you expect to contain? Explain
Answers
Answer:
There should be 18 blue marbles in the representative sample.
Step-by-step explanation:
Given that a bag contains 9 white and 54 blue marbles, if a representative sample contains 3 white marbles, to determine how many blue marbles would you expect to contain the following calculation must be performed:
9 = 3
54 = X
54 x 3/9 = X
162/9 = X
18 = X
Therefore, there should be 18 blue marbles in the representative sample.
A submarine was situated 475 feet below sea level. if it ascends 150 feet, what is its new position relative to the sea level?
Answers
Answer:
325 feet below sea level i believe
Step-by-step explanation:
Enteros 15+18 resultado
Answers
Which statement is true?
Answers
Answer:
C would be your answer!
Step-by-step explanation:
NO LINKS PLEASE
SOMEONE HELP IM DESPERATE
FIND THE EXACT VALUE OF EACH TRIGONOMETRIC FUNCTION USING THE UNIT CIRCLE
Answers
Answer: 45
Step-by-step explanation: 360-315=45
Find the value of x to the nearest tenth.
Answers
Answer:
2.8
Step-by-step explanation:
√(4² - 2²) = √12
=> √[(√12)² - 2²] = √8 ≈ 2.8
Write a simplified polynomial expression that can be used to represent the perimeter of the rectangle. 3x-7 and x-7
Answers
Answer:
P = 8x-28
Step-by-step explanation:
Given that,
Length = (3x-7)
Width = (x-7)
We need to find the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by :
[tex]P=2 (l+b)\\\\P=2(3x-7+x-7)\\\\P=2(4x-14)\\\\P=8x-28[/tex]
So, the perimeter of the rectangle is equal to 8x-28.
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
36
Step-by-step explanation:
There are 30 red marbles and the ratio of black to yellow is 4/5, so 4/5=orange/green=orange/30.
30 is 6 times 5, so black=6 times 4=24. There are 24 black marbles.
Total of black and yellow=24+30=54.
40% of the marbles are green so 60% are black/yellow. Also 60% is 54 marbles.
60% is 60/100=3/5 so 3/5 of the total is 54 marbles, therefore 1/5 is 54/3=18 and 2/5 is the number of red marbles=2 times 18=36 red marbles.
to be honest i can't think of anything original for the visual thing, but i think the pi chart from the person above me would work well
Answer: 36
Step-by-step explanation: 2/5 of marbles are red, and 4:5 ratio is multiplied by 6 because there are 30 yellow marbles and so 3/5 of the marbles are 54 and 2/5 are 36. For visual model draw a pi chart with 40% red, 33% yellow, and 27% black.
What is the area of the triangle?
24
7
25
units2
Answers
Simplify the expression e3 x e9
Answers
Answer:
e^12
Step-by-step explanation:
Write the problem as a mathematical expression.
e^3 ⋅ e^9
Use the power rule and combine the exponents.
e^3 + 9^e
Add 3 and 9.
e^12
The result can be shown in multiple forms.
Exact Form:
e^12
If not the answer
The Decimal Form:
162754.79141900…
Pls help me plz either sdys
Answers
Answer:
44
Step-by-step explanation:
14x3.14 is 43.96 and that after being rounded to the nearest tenth becomes 44
Sergio ate 3.5 cookies. Each cookie contained 5.7 grams of sugar. How many grams of sugar did Sergio eat?
Answers
3.5 x 2.7 = 9.45
Answer:
19.95
Step-by-step explanation:
5.7 times 3 = 17.1
5.7 ÷ 2 = 2.85
17.1 + 2.85 = 19.95
3333333 help me help me
Answers
Answer:
C is the answer thank you
Tim is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1/5
of the sundaes are mint ice cream and
1/2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answers
Answer:
12
Step-by-step explanation:
1/5 mint = 6
30 - 6 = 24
Half of 24 is 12
12 is chocolate
so 12 must be vanilla
The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space. a. The ecology club wants to put fencing around the proposed green space. How many more feet of fencing will the club need to buy for the proposed green space than it would have bought for the current green space? b. The ecology club wants to cover the proposed green space with a layer of sod. How much greater is the area of the proposed green space than the area of the current green space? a a. 9 more feet of fencing b. 441 square feet greater b a. 24 more feet of fencing b. 276 square feet greater c a. 36 more feet of fencing b. 624 square feet greater d a. 12 more feet of fencing b. 129 square feet greate
Answers
Answer:
gg
Step-by-step explanation:
gfg
Drag the correct steps into order to solve the equation 5x5 + 5 = 10 for x
Answers
Answer:
x = 1
Step-by-step explanation:
5x^5 + 5 = 10
Start the solution by subtracting 5 from both sides:
5x^5 = 5
Dividing both sides by 5 yields x^5 = 1.
Taking the 5th root of both sides, we get x = 1
which is the next leap year after to 2017
Answers
Answer:
2020
Step-by-step explanation:
Answer:
2020 i think i hope it is the right answer for you
Find the area of this parallelogram.
A)
20 cm2
B)
24 cm²
40 cm²
Answers
Answer:
It's 40cm²
Step-by-step explanation:
Base times height.
A) 20cm
2) Michael decides to go for a cycle ride. He rides a
distance of 80 km at an average speed of 24 km/h.
Work out how long Michael’s ride takes
Answers
Step-by-step explanation:
REMEMBER D/S×T (triangle)
therefore, finding time
D/S
80/24
make sure to press the degrees button on your calculator
3 hours and 20 minutes
What is the answer to this question?
Answers
During a blind taste test of 8 different sodas, some people were asked to choose a favorite. Each dot represents one person. If the ratio of people choosing B to people choosing H stays the same, he many people will choose H if the number of people who choose B increases to 20
Answers
Answer:
20:5
Step-by-step explanation:
1. What is the ratio for B and H?
Ratio = 4 to 1 or 4:1
2. What is the question asking?
The question is increasing 5 to 20. What is the quotient of 20 and 5? 4! The question is basically multiplying B by 5. Now, since math is a very jealous subject, it needs to be done on the other side too! So you need to multiply the B, which is 1, by 5.
3. 1 x 5?
5
4. Answer
So, since B is 20 and H is 5, the ratio would be 20:5!
Hiii, so I REALLY want to rank up, and I just need 4 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!
Answer:
Step-by-step explanation:
J
what are some good editing apps i use alight motion and capcut
Answers
:))))))
Step-by-step explanation:
videochamp, picsart
Picsart , Inshot , Gandr , Photo lab and Viva video.
