a. x ll y
b. y ll z
c. a ll b
d. x perpendicular to b
Answer:
Option B
Step-by-step explanation:
By applying the converse theorem of corresponding angles,
"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"
Angle between line B and Y = 90°
Angle between line B and Z = 90°
Therefore, corresponding angles are equal.
By applying converse theorem, line Y and line Z will be parallel.
Option B will be the answer.
pls help in this
7.6x5.2
Answer:
39.52
Step-by-step explanation:
Answer:
Table multiplication:
7.6 times
5.2 =
15.2
38.0
—-
39.52
please help asap!!
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If sally completed 6 laps around a circular track with the dimensions shown below, how many meters will she have run? Use 3.14 for up and round your answer to the nearest tenth
Answer/Step-by-step explanation:
The diagram of the circular track is missing, and so also its dimensions.
However, let's assume the dimensions of the circular track given is diameter (d) = 20 meters or radius (r) = 10 meters.
Since it's a circular track, the circumference of the track would give us the number of meters she runs in 1 lap.
Circumference = πd
d = 20 m (we are assuming the diameter is 20 meters)
π = 3.14
Circumference of circular track = 3.14 × 20 = 62.8 m.
This means that 1 lap = 62.8 m that she would have to run.
Therefore,
6 laps would be = 6 × 62.8 = 376.8 m
Therefore, if she completes 6 laps around the circular track that has a diameter of 20 m, she will have to run about 376.8 m.
A motorist drives at an average speed of 80 km/hr. How far does she travel in 3(1/2)
hours?
Answer: 280 km
Step-by-step explanation:
[tex]3\dfrac{1}{2} \: hours = 3.5 \: hours[/tex]
S = V × t
V = 80 km/h
t = 3.5 h
S = 80 × 3.5 = 280 km
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
Answer:
4th graph
Step-by-step explanation:
x + 3y > -3
3y > -x - 3
y > -(1/3)x - 1
Blue Line
y < 1/2x + 1
Orange Line
y- intercepts = -1 and 1
Express 5m2 in cm2 please answer fast!
Answer:
500000 cm2
Step-by-step explanation:
Help please thanks! :)
Answer:
Option A = 1/15 cubic meters
Step-by-step explanation:
Formule to find volume of rectangular prism:
Volume = width × height × length
V = w×h×l
V = 1/3 × 1/4 × 4/5
V = 1/15 cubic meters
A cell phone company offers a contract that costs $14.99 plus $0.06 per minute. Find the total number of minutes used if the bill for October was $20.21.
Answer:
87 minutes
Step-by-step explanation:
Let the total number of minutes = m
Our equation is given as:
$20.21 = $14.99 + 0.06m
20.21 = 14.99 + 0.06m
Collect like terms
0.06m= 20.21 - 14.99
0.06m = 5.22
m = 5.22/0.06
m = 87
Therefore, the total number rod minutes used is 87 minutes
SOLVE URGENT CORRECT ANSWER WILL GET BRAINLIEST
Answer:
8.
a) f'x means you find the derivative.
2 * d/dx x^2 -b * d/dx x + d/dx c
use power rule x^2 = 2x^1
2*2x = 4x. the derivative of the differentiation variable, x is 1 and the derivative of a constant, c is 0
4x-b+0
4x-b is our derivative
(I am still figuring out b and c, I will edit this answer and put the solution for b and c.)
Step-by-step explanation:
Can someone help me? Which of the following verifies that triangle YXZ is similar to triangle QPR?
Answer:
a
Step-by-step explanation:
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
what is f(0) for the function f(x) =2x+3
Answer:
3
Step-by-step explanation:
f(x) =2x+3
Let x=0
f(0) =2*0+3
Multiply
f(0) =0+3
Add
f(0) =3
Answer:
3
step-by-step explanation
f ( x ) = 2 x + 3
f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )
multiply
f ( 0 ) = 0 + 3
Add the numbers
f ( 0 ) = 3
Does this graph show a function? Explain how you know
which one of the following is product of(-3n)and(4mn-5n)
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of .2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components operate independently. Find the probability that a exactly two of the four components last longer than 1000 hours. b the subsystem operates longer than 1000 hours.
Answer:
a. 0.1536
b. 0.9728
Step-by-step explanation:
The probability that a component fails, P(Y) = 0.2
The number of components in the system = 4
The number of components required for the subsystem to operate = 2
a. By binomial theorem, we have;
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536
b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working
Therefore, we have;
P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)
P(Y = 0) = [tex]\dbinom{4}{0}[/tex] × 0.2⁰ × 0.8⁴ = 0.4096
P(Y = 1) = [tex]\dbinom{4}{1}[/tex] × 0.2¹ × 0.8³ = 0.4096
P(Y = 2) = [tex]\dbinom{4}{2}[/tex] × 0.2² × 0.8² = 0.1536
∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728
The probability that the subsystem operates longer than 1,000 hours = 0.9728
x² + 8x + 16 =
I need the steps and the answer
and the box
Answer:
The answer is (x+4)
Step-by-step explanation:
Just write the expression as a product with the factor x and 4
x²+2×x×4+4+16
then write the number in the exponential form with an exponent of 2
x²+2×x×4+4²
then use a² +2ab +b² = (a+b)² yo factor the expression which you get (x+4)
The school bought 957 science books, 1054 mathematics books, and 458 reading books. Put the books in order from least to greatest.
Answer:
reading books (458), science books (957), mathematics books (1054)
Step-by-step explanation:
458 is less than 957 and 1054, while 957 is less than 1054 but more than 458, and 1054 is more than 957 and 458.
458<957<1054
Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals
Answer:
timely, timely,measurable
Step-by-step explanation:
Answer:
specific, timely, measurable
Step-by-step explanation:
i took the test on plato
Can you please help. Evaluate angles d and e, giving reasons for your answer.
Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
<d = 25 degree and <e = 130 degree
Step-by-step explanation:
Let <d, <e and <f be the respective angles
<f = 25 degree (Vertically opposite angles are equal)
side fe = side ed (given)
Therefore, <f = <d (angles opposite to equal sides are equal)
Therefore, <d = 25 degree
<d + <e + <f = 180 degrees (Angle sum property)
25 + 25 + <e = 180
50 + <e = 180
<e = 180 - 50
<e = 130 degree
Therefore, <d = 25 degree and <e = 130 degree
Hope u understood
Please mark as brainliest
Thank You
WILL GET BRAINLIEST
Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°
Answer:
3 * 45 = 135 which is NOT 180
45, 45, 90 would work
Step-by-step explanation:
hope it helps!
The formula sa
SA
6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side
of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
o
30-45 m
O V30-2V5
o 10 m
215 m
Answer:
The correct option is (b).
Step-by-step explanation:
The formula for the side of a cube of surface area SA is as follows :
[tex]s=\sqrt{\dfrac{SA}{6}}[/tex]
When SA = 180 m²
[tex]s=\sqrt{\dfrac{180}{6}}\\\\s=\sqrt{30}[/tex]
When SA = 120 m²
[tex]s=\sqrt{\dfrac{120}{6}}\\\\s=\sqrt{20}\\\\=2\sqrt5[/tex]
Difference,
[tex]=30-2\sqrt5[/tex]
So, the correct option is (b).
John owns shares in a mutual fund and shares of individual stocks in his brokerage account. The Form 1099-DIV from the mutual fund indicates $2,000 of capital gains distributions and the form from the brokerage firm indicates $6,000 of capital gains distributions. The brokerage statement also indicated a long term capital loss of $1,850 on a stock sale. How should John report the capital gains distributions?
Question options:
A. He should report them directly on form 1040
B. He should report them on form 8949 and then on schedule D
C. He should report them on schedule D
D. He is not required to report them until he sells the underlying securities
Answer:
B. He should report them on form 8949 and then on schedule D
Explanation:
John has shares which have capital gains from a mutual fund and a brokerage account. In order to report his taxes, he would need to use the Schedule D(form 1040) for his mutual fund capital gains and the form 8949 for his brokerage capital gains. The brokerage capital gains is then transferred to schedule D.
What is an equation of the line that passes through the points (-5, -1) and (5, 3)?
Circle A has a radius of 4 centimeters.
Kharter goes to a gas station near his house where it costs $2.95 per gallon. Kharter’s car hold’s 13.2 gallons. The gas station near Devin’s house sells gas for $3.03 per gallon and his car holds 11.8 gallons
Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75
Answers:
mean = 79mode = nonemedian = 81.5=================================================
Explanation:
To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores
Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632
Divide that over n = 8 to get 632/n = 632/8 = 79
The mean is 79
You have the correct answer. Nice work.
---------------
The mode is the most frequent value.
In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.
---------------
To get the median, we need to sort the items from smallest to largest
{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}
Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5
The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median
(1.8 + 1.3) + 0.7 = 1.8 + (1.3 + 0.7) is an example of which property?
Answer:
Associative property
Step-by-step explanation:
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Hope this helps
What is the answer of (x+y÷x-y)÷(y+x÷y-x)
Answer:
[tex]{ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}[/tex]
Answer: = -1
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?
Answer:
small = 35 pounds
large = 45 pounds
Step-by-step explanation:
Let x = large boxes
y = small boxes
two equations can be derived from the question
x + y = 80 equation 1
60x + 65y = 4975 equation 2
multiply equation 1 by 60
60x +60y = 4800 equation 3
subtract equation 2 from 3
5y = 175
y = 35
substitute for y in equation 1
x + 35 = 80
x = 80 - 35
x = 45
