Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:
[tex]b=14[/tex]
What is a parallel line?They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.
With this information we can solve this exercise as:
[tex]5b=b+56\\4b=56\\b=14[/tex]
See more about parallel lines at brainly.com/question/16701300
Find the slope
(3,5) and (6,9)
Answer:
4/3 or 1 1/3
Step-by-step explanation:
To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)
Answer:
Slope is 4/3
Step-by-step explanation:
Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.
The formula of slope between two points can be expressed as several equations, expressions, etc such as:
[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.
Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.
Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]
Therefore the slope of two points is 4/3.
__________________
Let me know in comment if you have any questions.
Emilio borrows $1200 from a bank with 8% simple interest per year. How much is the interest
Answer:
96
Step-by-step explanation:
trust me I'm good at math
)) The volume of a pyramid with base area B and height his Bh. Jill makes candles
shaped like pyramids to sell at a craft fair. The candles are 6 inches tall and have a base area
of 4 square inches.
1) What is the volume of one of the candles?
1) Write your answer as a whole number or decimal.
cubic inches
Submit
Answer:easy it’s 8
Step-by-step explanation:I just did that same ixl/quiz!
5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?
A. 52 green beads; 39 yellow beads
B. 52 green beads; 26 yellow beads
C. 26 green beads; 52 yellow beads
D. 39 green beads; 52 yellow beads
Answer:
A. 52 green beads; 39 yellow beads
Step-by-step explanation:
See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The
Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.
G: 52 Beads
B: 26 Beads
Y: 39 Beads
If 15 out of 25 students are boys, what percent of the class is
made up of boys?
Help help help help help
Answer:
x=18
Step-by-step explanation:
x - 3 = 15
+3
x=18
Please explain how you got to the answer. I am trying to understand the concept that went into it.
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
A. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
B. x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
C. x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
D.x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Answer:
D. x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
Evaluate 0 and 1 (xe+ex)Dx
Sam earns $12 per hour. The store offers him a raise--a 6% increase per hour. After the raise,
how much will Sam make per hour?
Answer:
Solution here
Earning=$12 per hour
Raise=6%
The amount earned by Sam after raise=6×12/100
=72/100
=$0.72
The total amount made by Sam after the raise = $12+$0.72
=$12.72
Freddie can mow 3 lawns in 2 hours. Tom can mow 2 lawns in 1 hour. Who should be able to mow Mr. Smith's lawn faster?
Answer:
Step-by-step explanation:
Freddie rate of mowing=3/2=1.5 lawns /hr.
Tom's rate of mowimg=2 lawns/hr
so Tom can mow Smith's lawn faster.
Who’s up right now and will do homework for pay !
Step-by-step explanation:
[tex]\huge\mathbb\red{I Also Need Help}[/tex]
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Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
Formula for a converging infinite series. a1 is the first term and r is the common ratio.
A. 4
B. 1.33
C. 5.33
Answer:
4
Step-by-step explanation:
This is an infinite geometric series. This has a sum of
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
George is 14 years old. His age is 2 years more than twice his brother, Jhon's age. How old is John?
Answer:
30
Step-by-step explanation:
14×2=28
28+2=30
i hate riddles
3
Johnny has been hired to draw a mural on the window of the pet store. The scale drawing he is using is shown below.
4.5 cm
6 cm
If 1 centimeter represents 10 inches on the mural, what is the actual height and width of the hamster that he will be drawing on the
mural?
OA.
66 in by 49.5 in
ОВ.
90 in by 120 in
Od
6 in by 4.5 in
OD. 60 in by 45 in
Answer:
OD 60 in by 45 in
Step-by-step explanation:
In a school of 500 students, 30% had I-Phones. The percent of boys to gi
were 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.
Answer:
tbh,I would calculate the girls to boys ratio.
Step-by-step explanation:
I mean, them boys gotta be in female heaven.
25% of them, the rest being girls, dang, imagine being handsome. lots of gf's
and FYI, it's iPhone not an i-phone.
1. Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360.
2. Subtract the area of the triangle from the area of the sector.
length of the radius
length of the diameter
measure of the central angle
circumference of the circle
Answer: measure of the central angle
Step-by-step explanation: trust
Answer:
measure of the central angle
Step-by-step explanation:
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
Answer:
731 miles
Step-by-step explanation:
344 miles / 8 hours = 43 mph
17 hours * 43 mph = 731 miles
Emma says that Function A has a greater initial value. Is Emma correct? Justify your response. Function A Function B Alternative text x 2 4 6 8 10 y 2 3 4 5 6 A. Yes; Function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value. B. Yes; Function A has an initial value of –1 and Function B has an initial value of –2. So, Function A has a greater initial value. C. No; Function A has an initial value of –2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No; Function A has an initial value of 2 and Function B has an initial value of –1. So, Function B has a greater initial value
Answer: B
Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2
Answer:
It is C
Step-by-step explanation:
"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."
A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?
Answer:
1272 feet²
Step-by-step explanation:
Breadth (Width) = 24 feet
Length = (24 × 2) + 5
= 48 + 5
= 53 feet
Area = Length × Breadth
Area = 53 × 24
= 1272 feet²
10. Flora rented a space at the flea market.
Her space included electricity.
Booth Space
each day:$25
Electricity:$2
Which expression gives the total cost of
the day's rental if she used h hours of
electricity?
A. 25-2h
B. 25 + 2h
C.(25+2) x h
D. 25h+2
Answer:
It is D
Step-by-step explanation:
I am not exactly sure how to explain but i'll try.
The 2 dollars is added to her price, so it is not A.
The 25 dollars is every day, so it is mutlipled by x. So its not B.
The 2 dollars is not everyday like the 25 dollars, so its not C b/c its not everyday.
Help helphep help help math straightforward
Step-by-step explanation:
when a line cuts through 2 parallel lines, it does the exact same thing to both lines. it has to. because they are parallel, they act as if they are identical. only their placement is different, but this has no impact on the angles between the lines.
now, imagine a circle with the center at one of the crossing points. this circle is cut in half by the central line.
you know how many degrees a full circle has ?
360 degrees.
now, how many degrees are represented by the half- circle above or below the center line ?
of course, half of the degrees of the full circle. that means 180 degrees.
so, all the angles around a single point on one side of a line must have how many degrees together ?
right, these half-circle 180 degrees again.
because of everything we said up there, the angle 4x+6 is the same as the angle right of the 7x-2 angle.
so, 7x-2 and 4x+6 must be 180 degrees together.
that is called "supplementary angles".
7x - 2 + 4x + 6 = 180
11x = 176
x = 16
2
Which of the following is equal to 4
+31;
?
3
2
WIN
04 3
X 3.
1
14 2
X
3 7
14
X
72
3
42 2
X
3 31
Answer:
1428485748586384858858
A map scale indicates that .5 inches represents 13 miles. What is the actual distance of two cities that are measured on the map to be 4.5 inches apart?
Round your answer to the nearest integer.
Answer:
9 is the answer, wanna know how?
Step by Step explanation : So you do this and that equals 9.
Johnny has a box filled with 10 black marbles and 5 purple marbles.What are the odd he pulls two purple marbles in a row without replacemnet
Answer:
2/21
Step-by-step explanation:
The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.
1. A stack of boards is 21 inches high. Each board is 1¾ inches thick. How many boards are there
Answer:
12
Step-by-step explanation:
We can solve this by setting up an equation with the variable x representing the number of boards. Since x number of 1.75 inches thick boards sum up to the height of 21 inches, the equation is 1.75x = 21, so x = 12. There are 12 boards.
Choose yes or no to tell whether each expression is equivalent to -4/3p-2/5
A. -2/5-4/3p
B.2/5-4/3p
C.-2/5-4/3p
D.-4/3p+(-2/5)
HELP SOMEONE!!!!!! PLZZZZ!!!
Find all complex numbers $z$ such that $z^4 = -4.$
Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,
[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]
where k = 0, 1, 2, or 3. Then the 4th roots of -4 are
[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]
[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]
[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]
[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]
6(h - 6k+7) distributive property
Answer: 6h-36k+42
Step-by-step explanation:
6(h - 6k+7)
First, start by doing 6 times h
Then, 6 times -6k
Lastly, 6 times 7.
6h-36k+42 is your answer.
*WHOEVER SOLVES THIS RIGHT WILL GET BRAINLIEST*
Question: 67-32x=54-34 solve for X.
67-32x= 54-34
Subtract 54-34
you would get 20
67-32x= 20 (subtract 67 from both sides of the equation )
-67 -67
-32x/-32= -47/-32 (Divide -32 on the both sides )
You get a decimal :
x= 1.46875
Round this answer:
x= 1.5
Answer:
x = 47/32 or 1.46875 ( 1.5 rounded)
Step-by-step explanation:
1) Simplify 54 - 34 to 20.
67 - 32x = 20.
2) Subtract 67 from both sides.
-32x = 20 - 67.
3) Simplify 20 - 67 to -47.
-32x = -47.
4) Divide both sides by -32.
x = -47/-32.
5) Two negatives make a positive.
x = 47/32