If lines l and m are parallel, then ∠2 and ∠3 are _______ angles.
alternate interior
corresponding
alternate exterior
same-side-interior
Answer:
B) Corresponding
Step-by-step explanation:
Hello! The answer to this question is that <2 and <3 are corresponding angles. If you know the definition of corresponding angles and how they appear on a figure such as this, you should have no problem answering these problems in the future. Hope this comes to your help!
peter makes $6 per hour doing yard work plus $10 every house if pter does yard work for 6 houses and receives a paycheck for $210 how many hours did he work
After calculating Peter's earnings from working on 6 houses, the remaining amount from his total paycheck indicates that he worked for 25 hours at his hourly wage of $6.
To determine how many hours Peter worked when he received a paycheck for $210, we need to consider his earnings per house and his hourly wage. Peter makes $6 per hour for doing yard work plus $10 for every house he does work on.
First, we calculate the total earnings from the houses he worked on. Since he did yard work for 6 houses, we multiply 6 houses by $10 per house:
6 houses times $10 per house = $60
Now, subtract the total earnings from houses from his total paycheck to find out how much he earned from hourly wages:
$210 (total paycheck) - $60 (earnings from houses) = $150 (earnings from hourly wage)
$150 / $6 per hour = 25 hours
So, Peter worked 25 hours doing yard work.
You have five identical pieces of equipment. There is a 1 in 10 chance that each piece will fail in a year. What is the likelihood that NONE of the pieces fail during a year?
The probability that none of the five identical pieces of equipment will fail during a year is approximately 59.049%, calculated using the statistical independence of each piece's probability of not failing, which is 0.9, raised to the power of 5.
The question is asking for the probability that none of the five pieces of equipment fails within a year when there is a 1 in 10 chance of failure for each piece of equipment. To calculate this, we use the principle of statistical independence. If the chance that one piece of equipment does not fail is 9 in 10 (or 0.9), then the probability that all five do not fail is 0.9 raised to the power of 5.
Mathematically, this is calculated as:
[tex](0.9)^5[/tex]= 0.9 * 0.9 * 0.9 * 0.9 * 0.9
Performing the multiplication, the probability that none of the five pieces fail during a year is approximately 0.59049.
In conclusion, there is a 59.049% chance that none of the identical pieces of equipment will fail during a year, assuming that the failures are statistically independent events.
Veronica bought a purse for 25 off its full price. what was the full price of the purse if Veronica paid $35.85 before sales tax? A) $59.75 B) $47.80 C) $ 60.85 D) $36.10
B- $47.80 for apex that's what i got.
The full price of the purse is C) $60.85.
Explanation:The price at which the purse is bought = $25
The price paid = $35.85
To find the full price of the purse, we need to add the discount amount to the price Veronica paid.
Since she got $25 off, the discount amount is $25.
Therefore, the full price of the purse is
= $35.85 + $25
= $60.85.
Learn more about Calculating full price after a discount here:https://brainly.com/question/28526902
#SPJ5
HELP FAST PLEASE!!
Martin simplified the composed function f(x)=sin(arctan x). His work is shown below. Step 1: f(x)=sinA, where A=arctan x and x = tanA
Step 2: tanA= opp/adj=x/1
Step 3: hypotenuse= square root of 1^2-x^2= square root of 1-x^2
Step 4: sinA=opp/hyp=x/squareroot 1-x^2
In which step did Martin make is first error?
HELP PLEASE! Are the two triangles similar? How do you know?
Answer:
The two triangles are similar by AAA
Step-by-step explanation:
we know that
If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Remember that
The sum of the internal angles of a triangle must be equal to [tex]180\°[/tex]
so
In the triangle CDE
Find the measure of angle E
[tex]m<C+m<D+m<E=180\°[/tex]
substitute the values and solve for m<E
[tex]60\°+53\°+m<E=180\°[/tex]
[tex]m<E=180\°-(60\°+53\°)=67\°[/tex]
The measures of internal angles triangle CDE are [tex]60\°-53\°-67\°[/tex]
In the triangle FGH
Find the measure of angle G
[tex]m<F+m<G+m<H=180\°[/tex]
substitute the values and solve for m<G
[tex]60\°+m<G+67\°=180\°[/tex]
[tex]m<G=180\°-(60\°+67\°)=53\°[/tex]
The measures of internal angles triangle FGH are [tex]60\°-53\°-67\°[/tex]
therefore
The two triangles are similar by AAA
TANYA HAS A DOG LEASH THAT IS 4 YARDS LONG SHE SHOORTENS THE LEASH BY 6 FEET. WHAT IS THE LENGTH OF THE SHORTENED LEASH
Answer:
Its 6 feet
Step-by-step explanation:
Di sediakan angka 4,5,6,7,8 dan huruf e,s,
f. Bila tidak boleh ada angka dan huruf yg sama, maka banyaknya.plat nomer yg dapat dibuat adalah
Someone please help me with this, i'm a little confused :(
A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67 and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?
A) 58.15 feet
B) 143.40 feet
C) 148.83 feet
D) 350.62 feet
15 points and brainliest for CORRECT answer.
Given: ABCD is a trapezoid,
AD = 10, BC = 8,
CK - altitude
Area of ∆ACD = 30.
Find: Area of ABCD
2. Given the equation 2x – 3y + 4z =12, find the three intercepts for this plane and graph it below. Show your work. Please view the video “how to submit a part 2” for help on how to graph. (2 point for each intercept, 3 for the graph.) Answer:
A rectangular auditorium seats 13201320 people. the number of seats in each row exceeds the number of rows by 1414. find the number of seats in each row.
The number of rows in the auditorium is 45, and each row has 59 seats.
Explanation:This problem can actually be solved using Algebra. If we let 'x' represent the number of rows in the auditorium, then the number of seats in each row would be x + 14 (since the number of seats in each row exceeds the number of rows by 14). Since the total number of seats is 1320, we can now set up and solve an equation: x(x + 14) = 1320.
Solving the equation, we get [tex]x^2[/tex] + 14x - 1320 = 0. This can be factored to (x - 45)(x + 29) = 0. The positive solution is x = 45. Therefore, there are 45 rows in the auditorium.
Substituting x = 45 back to our original equation x + 14, we find out that there are 45 + 14 = 59 seats in each row.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ2
The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii
Answer:
Hence, the length of the chord joining two perpendicular radii is:
6√2 inches.
Step-by-step explanation:
Let r denote the radius of circle.
i.e. r=6 inches.
Let AB be the chord that connects two perpendicular radii i.e. OA and OB whose lengths are given to be 6 inches.
We can apply pythagorean theorem to find the length of the chord.
[tex]AB^2=OA^2+OB^2\\\\AB^2=6^2+6^2\\\\AB^2=36+36\\\\AB^2=72\\\\AB=\sqrt{72}\\\\AB=6\sqrt{2}[/tex].
Hence, the length of a chord connecting two perpendicular radii is:
6√2 inches.
Find the slope of a parallel line to 5x+2y=6
Answer: [tex]\dfrac{-5}{2}[/tex]
Step-by-step explanation:
We know that equation in intercept form is given by :-
[tex]y=mx+c[/tex] , where m is the slope of the line {Coefficient of x}
The given equation of a line : [tex]5x+2y=6[/tex]
First rewrite the given equation in intercept form , we get
[tex]2y=6-5x\\\\\Rightarrow\ y=\dfrac{1}{2}(6-5x)\\\\\Rightarrow\ y=\dfrac{-5}{2}x+\dfrac{6}{2}\\\\\Rightarrow\ y=\dfrac{-5}{2}x+3[/tex]
Comparing to the general intercept form , we have , the slope of the line = [tex]\dfrac{-5}{2}[/tex]
Since the slopes of two parallel lines is equal.
Therefore, the slope of a parallel line to [tex]5x+2y=6[/tex] : [tex]\dfrac{-5}{2}[/tex]
A bag contains 2 red marbles, 3 blue marbles, 4 yellow marbles, and 3 green marbles. In how many ways can choosing not yellow occur?
A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°90°. Is Charlene’s definition valid?
A.Yes, because no right triangles fit this definition.
B.No, because some scalene triangles fit this definition.
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
D.No, because not all acute triangles fit this definition.
Answer:
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Use the domain {, 1, 2, 4, 8, 16} and plot the points on the graph that would best satisfy the equation y = log2x.
Before you make any payments to the organization handling your DMP (debt management plan) what should you do?
Answer:
" A DMP allows you to deposit a set amount of money with a credit counseling organization each month, which is then strategically dispersed to your various creditors "
" DMPs are designed to help consumers work off their debt as quickly as possible by leaving these decisions largely to credit counseling professionals "
Before sending monthly payments to the organization handling your DMP, confirm with your creditors that they have in fact accepted the plan.
Before you make any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that they have accepted the plan.
What is Debt Management Plan?A Debt Management Plan is a laid-out framework for settling debts that is coordinated by a credit counseling organization. A certain amount of money is deposited with these organizations that help the debtor to offset his bills in a strategic manner.
So, before making any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that the plan for repayment is acceptable by them.
Learn more about the debt management plan here:
https://brainly.com/question/4701276
The largest doll is 12 inches tall. The height of each of the other dolls is
7
10
710
the height of the next larger doll. Write an expression involving a power for the height of the smallest doll. Then evaluate the expression to find the height of the smallest doll to the nearest tenth of an inch.
Answer: with the problem you can see that
Smallest is 4.1 inches
Expression is 12 multiply by (7/10) to the power of 3
Answer:
Smallest is 4.1 inches
Expression is 12 multiply by (7/10) to the power of
Brainliest + 15 points. Help please? Who's up for the challenge?
Would be glad if you answer my question!
helppppppppppppppppppppppppppp
√9 = 3
3 is a real number , a whole number , a rational number , an integer and a natural number ,
So last option is correct
Set of all natural numbers , set of all whole numbers , set of all integers, set of all rational numbers , set of all real numbers.
Tyler has a rectangular garden that measures 10 m wide by 13 m long. he wants to increase the area to 208 m2 by increasing the width and length by the same amount. what will be the length (longer dimension) of the new garden?
a. 14 m wide
b. 15 m wide
c. 16 m wide
d. 17 m wide
Which expressions are polynomials?
Select each correct answer.
x – 1
5x²-√x
6+p
8x-z³
Answer:
5x²-√x
Step-by-step explanation:
1)6 +p
2) x-1
3) 8x-z3
4) 5x²-√x --> has a root so it is not a polynomial
what is the solution to the following system?
5x+2y+z=4
x+2z=4
2x+y-z=-1
A. x = 0, y = 1, z = 2
B. x = 1, y = –1, z = 2
C. x = 1, y = 0, z = –1
D. x = 2, y = 1, z = 0
help me with this and I will give you brainly
The length of a rectangle is 3 m longer than its width.
The area of the rectangle is 154m^2
What is the width of the rectangle?
___m
Factor completely x^2 + 16.
(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)
Answer: (x4-81) I searched it up..
Step-by-step explanation:
five cards are drawn from a standard deck of cards. each card is replaced after being drawn. what is the probability of the following event: p(3 and 3 and 3 and 2 and 2)?
General Idea:
If A and B are independent, then the probability that events A and B both occur is:
[tex] p(A\; and\; B) = p(A) \times p(B). [/tex]
In other words, the probability of A and B both occurring is the product of the probability of A and the probability of B
Applying the concept:
Five cards are drawn from a standard deck of cards. Each card is replaced after being drawn.
There are four 3's in a deck of card, four 2's in a deck of card. In a deck of card there are 52, so...
[tex] \\[tex] p(3\; and\; 3\; and\; 3 \; and \; 2 \; and\; 2)=\frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \\ \\ Multiply \; numerator \; with \; numerator \; and \; denominator \; with \; denominator\\ \\ \frac{4 \cdot 4 \cdot 4 \cdot 4 \cdot 4}{52 \cdot 52 \cdot 52 \cdot 52 \cdot 52} \\ \\ Cancel \; Common\; Factor\\ \\ \frac{1 \cdot 1 \cdot 1 \cdot 1 \cdot 1}{13 \cdot 13 \cdot 13 \cdot 13 \cdot 13} =\frac{1}{13^5} =\frac{1}{371293} [/tex] \; =\; p(3) \times \; p(3) \times \; p(3) \times \; p(2) \times p(2) [/tex]
1. Sketch and/or explain the evidence you created for the Pythagorean Theorem. Be sure to explain how each part related to the Pythagorean Theorem.
Answer:
u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye
Step-by-step explanation: