Answers
Answer:
See Below
Step-by-step explanation:
[tex]m \angle \: 1 = m \angle \: 4 \: \: \: (1) \\ (vertical \: angles) \\ \\ m \angle \: 7 = m \angle \: 6 \: \: \: (2) \\ (vertical \: angles) \\ \\ m \angle \: 4 + m \angle \: 6 = 180 \degree \: \: \: (3) \\ (Interior\:angles \: on \: same \: side \: of \: transversal) \\ \\ from \: equations \: (1),\: (2) \: and \: (3) \\ \\ \red { \boxed{ \bold{m \angle \: 1 + m \angle \: 7 = 180 \degree}}} \\ \\ thus \: proved[/tex]
Related Questions
SOLVE BOTH
if f(x)=2x+8, find f(5)
if f(x)=3x+4, find f(8)
Answers
Answer:
Step-by-step explanation:
simple! plug in the 5 for x, f(5)=2(5)+8
f(5)=10+8
f(5)=18
f(8)=3(8)+4
f(8)=28
A project manager must select four analysts from her group to write four
different software functions. There are 5 junior and 8 senior analysts in her group.
The first and fourth functions can be written by any of the analysts. The second
function must be written by a senior person and the third function must be written
by a junior person. How many ways are there for her to assign the analysts to the
functions if no person can be assigned to more than one function?
Answers
Using the Fundamental Counting Theorem, it is found that there are 4,440 ways to assign the analysts.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
With the first function being written by a senior, we have that: [tex]n_1 = 8, n_2 = 7, n_3 = 5, n_4 = 10[/tex].With the first function being written by a junior, we have that: [tex]n_1 = 5, n_2 = 8, n_3 = 4, n_4 = 10[/tex].Hence:
N = (8 x 7 x 5 x 10) + (5 x 8 x 4 x 10) = 4400.
There are 4,440 ways to assign the analysts.
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866
Solve the inequality if possible 6 (x + 3 )<5x+18+x
Answers
Answer:
x < 3
Step-by-step explanation:
6(x + 3) < 5x + 18 + x
6x + 18 < 6x + 186x + 6x < 18 + 1812x < 36x < 36 ÷ 12x < 3What is the inverse of function f?
A.
B.
C.
D.
Answers
[tex]f^{-1}(x) = 3-7x\\\\[/tex]
=====================================================
Work Shown:
[tex]f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\[/tex]
The idea is to swap each x and y, then solve for y to find the inverse.
Owen has a mask collection of 300 masks. He keeps 63 of the masks on his wall. What percentage of Owen's mask collection does he keep on his wall?
Answers
Using the percentage concept, it is found that he keeps 21% of his mask collection on the wall.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, the parameters are a = 63 and b = 300, hence the percentage is given by:
[tex]P = \frac{63}{300} \times 100\% = 21\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
What is the mass of Cl2
Answers
Answer:
molar mass of carbon-12
Step-by-step explanation:
Find the distance covered by a car in 3x hours is 27x³ + 9x² - 3x Find the rate of the car. Show your solution.
Answers
Answer:
distance = 27x³ + 9x² - 3x , time = 3x ,
rate =?
[tex]distance = rate \times time \\ \\ rate = \frac{distance}{time} \\ \\ r = \frac{d}{t} \\ \\ r = \frac{27 {x}^{3} + 9 {x}^{2} - 3x}{3x} \\ \\ r = \frac{3x(9 {x}^{2} + 3x - 1) }{3x} \\ \\ r = 9 {x}^{2} + 3x - 1[/tex]
So; The rate of the car equal (9x²+3x-1)
If X = 6 cm and Z = 10 cm, what is the length of Y?
A. 8 cm
B. 8 cm
C. 10 cm
D. 6 cm
Answers
Answer:
If XYZ is a triangle, then Y = 8 cm
Step-by-step explanation:
X^2 + Y^2 = Z^2, by the Pythagorean Theorem.
Z, in this equation, represents the hypotenuse; the hypotenuse must be the longest side, and we can therefore eliminate C, 10 cm, without even beginning. Then, we may plug the given values in.
(6)^2 + Y^2 = 10^2
36 + Y^2 = 100
Y^2 = (100 - 36) = 64
Y = 8 cm
I hope this helped! :)
When Juan got home from school, he worked on his homework for 45 minutes. Then, he took a break and had a snack for 35 minutes, and after that went to baseball practice for 1 hour and 55 minutes. He finished baseball practice at 6:05 p.m. What time did he get home from school? of
Answers
Answer:
2:50 p.m.
Step-by-step explanation:
After he got home, his activities were:
homework: 45 minutes
break & snack: 35 minutes
baseball practice: 1 hour 55 minutes
1 hour = 60 minutes
Total time of activities:
45 minutes + 35 minutes + 60 minutes + 55 minutes = 195 minutes
195 minutes = 180 minutes + 15 minutes = 3 hours 15 minutes
Now we subtract 3 hours 15 minutes for 6:05 p.m.
6:05
- 3:15
----------
We need to borrow 1 hour from 6 hours. 1 hour is 60 minutes. 6 hours becomes 5 hours. We add the 1 hour as 60 minutes to the 5 minutes.
6:05 5:65
- 3:15 --------> - 3:15
----------- ----------
2:50
Answer: 2:50 p.m.
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
The triangle below is isosceles, Find the length of side x to the nearest tenth.
Answers
Answer: 3.5
Step-by-step explanation:
What is the slope of the line that goes through (-5,-5) and (5,-7)
Answers
Answer: The slope would be -1/5
Heres a graph
Hope this helps!
Need help!
Find the volume!
Answers
Answer:
volume of cylinder is = πr²h
= π4²6 = π x 16 x 6 = 96π yd³
Apply the distributive property to factor out the greatest common factor.
22c+33d =
Answers
Answer:
Step-by-step explanation:
First find the GCF of 22 and 33
22 = 2 * 11
33 = 3 *11
GCF = 11
Distributive property:a*(b+c)=(a*b) + (a*c)
22c + 33d = 11 * 2c + 11 * 3d
= 11*(2c + 3d)
Victor's class is going on a field trip.
They will ride on the city bus twice,
once going and once coming back.
The one-way bus trip costs 35€ per
child and 50¢ per adult. There are
24 students, 4 parents, and 1 teacher
4
going on the trip. How much money
will they need for everyone to ride
the bus?
Answers
Answer:
2180
Step-by-step explanation:
35x24=840
50x5=250
add those tou get 1090
multiply by 2
2180
Which equation describes a line with a slope of 2/5 and a y-intercept at (0, 4)?
Answers
Answer:
y=2/5x+4
Step-by-step explanation:
because 4 would be where the line crosses the number 4 on the y axis which puts it at the back and the slope is x because it increases by an amount indescribable.
step by step explanation:
Someone pls help?????????????????????
Answers
Answer:
10 more couches were sold.
Step-by-step explanation:
On Tuesday, they sold 15 couches, while on Wednesday only 5 were sold.
15-5=10 Couches
Help need answers asap
Answers
Answer:
x = 25
y = 6
Step-by-step explanation:
< B = < M
2x - 20 = 30
2x = 50
x = 25
AB = LM
7y - 8 = 2y + 22
5y = 30
y = 6
A Cubic Polynomial with rational coefficients has the roots 6 + SQRT6 and 2/3 FInd one additional root.
SHOW STEPS PLEASE O_O
Answers
This is because of the rule that if we have rational coefficients, then one root of [tex]a+\sqrt{b}[/tex] must have a conjugate pair of [tex]a-\sqrt{b}[/tex]. Multiplying the conjugates will have the square roots cancel out.
For more information, check out the difference of squares rule.
Para las celebraciones del barrio de Santiago se junto cierta cantidad de dinero que se distribuirá de la siguiente forma:?
Answers
Answer:
4,767
Step-by-step explanation:
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
Find the value of cos I rounded to the nearest hundredth, if necessary.
Answers
Answer: 41.40962211 or 41.41
Step-by-step explanation:
Cos i = 30/40
x = Cos ^-1 (30/40)
x = 41.41 or 41.40962211
Emma sold all the parasols in the store for $84. She brought new
parasols from the stockroom and decided to increase the price of a
parasol to $13.
Which of the following equations represents the total amount, t, Emma
will have earned after selling the additional, p, parasols?
A. t = 84 + 13p
B. t = 84 + (p + 13)
C. t = 84 × 13p
D. t = 84 + [tex]\frac{p}{13}[/tex]
Answers
Answer: B. Emma sold all the parasols in the store for $84. She brought new parasols from the stockroom and decided to increase the price of a parasol to $13.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, she earned $84
She bought new parasols and increase the price of each parasol by $13-> she will earn $13p by selling p additional parasols
->total amount = 84+13p
Explain if she correct or not. If she is correct, justify her claim. If she is not correct, explain her error and state the correct GCF.
PLEASE HELP ME OUT!!!!
Answers
Answer:
Marcia is not correct.
See explanation below.
Step-by-step explanation:
The terms are
2x²
4xy
8xy^4
The terms broken down into products of prime factors are:
2x² = 2 × x × x
4xy = 2 × 2 × x × y
8xy^4 = 2 × 2 × 2 × x × y × y × y × y
To find the GCF, we circle the common factors of the three terms (here we use bold type instead of circling.)
2x² = 2 × x × x
4xy = 2 × 2 × x × y
8xy^4 = 2 × 2 × 2 × x × y × y × y × y
The GCF is the products of the circled (bold) factors.
GCF = 2x
Marcia's answer is the Least Common Multiple.
For the LCM, you use all factors that are common and not common with the larger exponent.
LCM = 2 × 2 × 2 × x × x × y × y × y × y = 8x²y^4
Marcia's mistake is that she calculated the LCM instead of the GCF.
Answer:
Marcia is not correct.
The explanation is above.
Answer:
See below.
Step-by-step explanation:
2x^2, 4xy, and 8xy^4
She is incorrect.
The GCF is 2x.
She found the greatest term, rather than the greatest factor.
-hope it helps
The table shows the distance a cyclist rides her bicycle over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?
Bike Riding Distance
Time
(minutes) Distance
Traveled (ft)
1 1120
2 2240
3 3360
4 4480
A. The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
B. The rate of change is constant and represents a speed of 3360 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
C. The rate of change is constant and represents a speed of 2240 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
D. The rate of change is constant and represents a speed of 4480 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Answers
From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the distance travelled by the bike after x minutes.
From the table:
Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min
The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Find out more on linear equation at: https://brainly.com/question/14323743
The diameter, D, of a sphere is 15 cm. Calculate the sphere's volume, V.
Use the value 3.14 for a, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer: 1766.3
Step-by-step explanation:
The largest major arc is:
MHJ
JMG
GNM
HLI
Answers
Answer:
the correct answer is HLI
Solve
v < 45. Graph the solution.
The solution is
someone helppp
Answers
Answer:
The solution is v ≤ 81.
Graph it on a number line by writing a closed circle above the number 81 with a line moving to the left (sorry I'm bad at explaining, just comment if you don't get it)
Step-by-step explanation:
5/9v ≤ 45
Divide 5/9 on both sides
v ≤ 81
At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.
Which equation shows the total cost (
c
) for the number of games (
g
) one bowls?
Answers
Answer:
I don't see any answer options, but the total cost should be:
c = $5.00 + $1.25g
Step-by-step explanation:
Assuming that the cost is for one person playing g games, and that person needs to rent 1 pair of shoes, the cost should be:
c = $5.00 + $1.25g
-13 = -3h + 2 solve for h
Answers
Step-by-step explanation:
-13 = -3h + 2
3h - 13 = 2
3h = 15
h = 5
Answer:
-5
Step-by-step explanation:
-13 = -3h + 2 First, move the positive two (we get rid of a + by using a -)
-2 -2
-15 = -3h -3 is divided (opposite of multiplication is division)
----- ------
3 3
-5 = h Now we have our answer :)
6 Xavier earns $12.50 for each lawn he mows. If he mowed 8 lawns last week, how
much money did he earn? Show your work.
Answers
Answer:
12.50x2.50x8=w
Step-by-step explanation:
12.50×8=100
Answer:
$100
Step-by-step explanation:
12.50 multiplied by 8.
Jonathan needs to make 5 bowl of pasta.if he uses 145mL of sauce.how many milliliters of sauce will he use for each bowl of pasta
Answers
Answer:
145/5 = 29
Step-by-step explanation:
I am not sure of this answer if this is correct please mark me as brainliest