Answer:
A. Angles 1 and 4
D. Angles 2 and 3
Step-by-step explanation:
Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.
In the diagram above, the following are alternate interior angles:
<1 and <4,
<2 and <3
Answer:
A and D
Step-by-step explanation:
Find the missing side lengths leave your answers as radicals
Answer:
Step-by-step explanation:
n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)
to find m:
20^2 + 20^2 = m^2
400 + 400 = m^2
800 = m^2
m = square root(800)
m = square root(400)xsquare root(2)
m = 20square root(2)
(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?
Answer:
(-3,0)
Step-by-step explanation:
Please help it’s due tonight and my online teacher don’t help me or teach me please!!! ♥️
Answer:
x=4
Step-by-step explanation:
A+B=C
A^2+X=C^2
12^2+X=24^2
144+X=576
/144 /144
x=4
Matea spent $15.00 on protein bars and sports drinks. Each bar cost $3.00 and each sports drink cost $1.50. Which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought?
A. p+s=15
B. p+s=4.50
C. 1.5p+3s=15
D. 3p+1.5s=15
Answer:
D
Step-by-step explanation:
The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,
⇒ 3p + 1.5s = 15
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Matea spent $15.00 on protein bars and sports drinks.
Each bar cost $3.00 and each sports drink cost $1.50.
Now,
Let the number of protein bars = p,
And, the number of sports drinks = s
So, We can formulate;
The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,
⇒ $3p + $1.5s = $15
⇒ 3p + 1.5s = 15
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PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answer:
Since this graph is continuing, y must be any real number. So, d.
4.
It takes a lady 3 days to wash the windows
inside and out. Her husband can do the job
in 4 days. How fast can they do it together?
Charlie's art class is 8 hours long. How long is his class in minutes?
Answer:
480 minutes
Step-by-step explanation:
60 minutes = 1 hr
60 x 8 = 480
480 minutes = 8 hrs
A square has a side length 9 cm. What is its area? A square has an area of 9 cm2. What is its side length?
Answer:
Area = 81; Side Length = 3
Step-by-step explanation:
The area of a square is the side lenght squared, and 9² is 81.
The side lengh can be found by taking the square root of the area. √9 = 3
Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?
Answer:
15h
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
she needs 150, she spends 3 and she makes 9 per hour
153/9 = 17
20. John Navarro is a salesperson in the appliance department at Morris
Appliance, Inc. He is guaranteed a minimum salary of $185 per week, or
5.5 percent of his total sales—whichever is greater. What is his gross pay
for a week in which his total sales were $3,422?
Answer:
$373.21Step-by-step explanation:
Step one:
weekly pay = $185
commission= 5.5% of sales= 0.055
let the sale be x
and his gross pay be represented by y
hence the expression for the total/gross pay is
y=0.055x+185
Step two:
Required is the gross pay y for x=3422
substituting we have
y=0.055*3422+185
y=188.21+185
y=373.21
Hence for a sale of $3,422 made his gross pay is $373.21
What is the value of X? GIVING BRAINLIEST FOR WHO ANSWERS BY 5 MINUTES.
Answer:
15
Step-by-step explanation:
triangle is isosceles
PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.
Answer:
Correct I think
Step-by-step explanation:
9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.
if two dice are rolled one time, find the probability of getting a sum less than or equal to 4
Answer:
The probability of getting a sum less than or equal to 4 is 1/6.
Step-by-step explanation:
When two dices are rolled, the number of outcomes are: 6*6 = 36 which is written in ordered pairs consisting of outcome of both dices.
When two dices are rolled, the number of sample space elements is:
[tex]n(S) = 36[/tex]
Let A be the event that the sum of outcomes is less than or equal to 4:
[tex]A = \{(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)\}[/tex]
That implies
[tex]n(A) = 6[/tex]
The probability of getting sum less than or equal to 4 will be:
[tex]P(A) = \frac{n(A)}{n(S)} = \frac{6}{36} = \frac{1}{6}[/tex]
Hence,
The probability of getting a sum less than or equal to 4 is 1/6
The probability of getting a sum less than as well as equivalent to 4 will be "[tex]\frac{1}{6}[/tex]".
Probability:The probability that may be an outcome will happen together in random experiment. The greater the likelihood of such an occurrence, the further probable it will materialize.
Let,
The event that the sum less than as well as equivalent to 4 be "A".
According to the question,
Whenever the 2 dices are rolled, the no. of outcomes will be:
= 6 × 6
= 36
and,
The no. of sample elements will be:
n(S) = 36
Now,
A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)}
The probability be:
→ P(A) = [tex]\frac{n(A)}{n(S)}[/tex]
= [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex]
Thus the response above is correct.
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Write and solve an equation to find the value of x. PLS HELP!!
Answer:
23.59 - 14.89 = x
x = 8.7
Step-by-step explanation:
To find x, you need to add all of the other sides and subtract it from the perimeter. 5.62 + 5.62 + 3.65 = 14.89.
23.59 - 14.89 = x, so x = 8.7
Answer:
8.7
Step-by-step explanation:
Add all the numbers together (5.62, 5.62, and 3.65) then take away from the result (23.59) to get answer.
What is the quotient of
3/4 and 1/5
Answer:
3.75
Step-by-step explanation:
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
What is the solution to the inequality f + 4 < 2?
Answer: f=-2
Step-by-step explanation:
math
Answer:
f < -2
Step-by-step explanation:
what do i need to subtract from 83/10 to make 8
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
[tex]\frac{83}{10} = 8.3[/tex] Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8
Aisha divides 15 meter of ribbon into 2 equal pieces.
What is the length of each piece of ribbon?
Answer: 7.5 meters
Step-by-step explanation:
Formed from sentences P and Q, the sentence P or Q is a
A) biconditional.
B) complementary.
C) conditional
D) disjunction.
Answer c I think
Step-by-step explanation:
A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D and the long-on at C. The angle AD makes with the ground is 30 ° and the angle between the two wires is 10 °. How much below the top of the tower is the shorter one attached?
Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
[tex] \theta = 30 + 10 = 40 [/tex]
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{BC}{42} [/tex]
Multiply both sides by 42
[tex] tan(40) \times 42 = \frac{BC}{42} \times 42 [/tex]
[tex] 35.24 = BC [/tex]
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
[tex] \theta = 30 [/tex]
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(30) = \frac{BD}{42} [/tex]
Multiply both sides by 42
[tex] tan(30) \times 42 = \frac{BD}{42} \times 42 [/tex]
[tex] 24.25 = BD [/tex]
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
A 15 foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder reach?
The ladder will reach
android:
nothing ft high up on the building.
(Round to the nearest tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Answer: The height of the building = 14.5 feet.
Step-by-step explanation:
Given: Length of ladder = 15 feet
Distance of base of ladder from building = 4 feet
Since building is standing vertical on ground making right angle.
So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]
According to the Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
⇒ (15)² = Perpendicular² + (4)²
⇒ 225 = Perpendicular² +16
⇒ Perpendicular² = 225 -16
⇒ Perpendicular² = 209
⇒ Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet
Hence, the height of the building = 14.5 feet.
Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 
Answer:
Hope it will help you
Step-by-step explanation:
Option BJonathan can buy 33 games.
What is equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend
Let he can buy x games, then the equation will be,
0.75x+10 = 35
0.75x = 25
x = 100/3 ≈ 33
Hence, Jonathan can buy 33 games.
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(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Answer:
It may be 220 9/23. If it's wrong sorry lol.
Step-by-step explanation:
12*PLEASE ANSWER FAST!!!!!!!!
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.
The solutions are not viable because the amount charged is not a whole number.
The solutions are viable because the amount of the sale is an integer.
The solutions are viable because the amount charged is positive.
The solutions are not viable because the amount of the sale cannot be negative
Answer:
The solutions are not viable because the amount of the sale cannot be negative
Step-by-step explanation:
We are told that;
Let A be the amount of the sale in dollars and C be the charge of the online auction
This means that both values of A and B should be non-negative integers.
Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.
We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.
y = 12 • 3x for x = –2
Answer:
y=-72
Step-by-step explanation:
3(-2) = -6, y=12 times -6, y= -72
Can a quadratic have one real and one non real root
Answer:
Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.
heidi subtract 9 from 17. first she adds to get 10.then she added again to find her answer is heidi correct Heidi is not correct to add blank then you add blank more to get 10 to 17 the answer is
Answer:
Heidi wants to compute:
17 - 9.
First, she adds to get 10, (we want to subtract 10, this is easier than subtracting 9) then she can do:
17 - 9 + 0
adding zero does not change the sum
1 - 1 = 0
then:
17 - 9 + 0 = 17 - 9 + 1 - 1
Now we can do:
17 - 9 - 1 + 1
17 - (9 + 1) + 1
17 - 10 + 1
(17 - 10) + 1
7 + 1 = 8
Then, first she needs to add -1, in order to subtract 10, and then she must add 1. As we added a number and its inverse, in total we added zero, so the sum did not change, but was easier to compute.
Then, you need