Answer:
Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)
Step-by-step explanation:
Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)
Answer:
12 to be the answer
Step-by-step explanation:
I
(2t2 - 36t + 162). - (t-9)
Answer:
2t^2 - 37t + 171
Step-by-step explanation:
distrube the - to the (t-9) and then combine like terms
Answer:(2t2 + 27t) - 162 = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2t2+27t-162
The first term is, 2t2 its coefficient is 2 .
The middle term is, +27t its coefficient is 27 .
The last term, "the constant", is -162
Step-1 : Multiply the coefficient of the first term by the constant 2 • -162 = -324
Step-2 : Find two factors of -324 whose sum equals the coefficient of the middle term, which is 27 .
-324 + 1 = -323
-162 + 2 = -160
-108 + 3 = -105
-81 + 4 = -77
-54 + 6 = -48
-36 + 9 = -27
-27 + 12 = -15
-18 + 18 = 0
-12 + 27 = 15
-9 + 36 = 27 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 36
2t2 - 9t + 36t - 162
Step-4 : Add up the first 2 terms, pulling out like factors :
t • (2t-9)
Add up the last 2 terms, pulling out common factors :
18 • (2t-9)
Step-5 : Add up the four terms of step 4 :
(t+18) • (2t-9)
Which is the desired factorization
Equation at the end of step
2
:
(2t - 9) • (t + 18) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
Step-by-step explanation:
FIRST ANSWER GETS BRAINLIEST ANSWER FAST
Answer:
A
Step-by-step explanation:
Because it would be how many adults times 36. And how many ever children times 15. And that total would be equal to $234
Can anyone help me please thank you if you do
Hai!
Your answer should be A.
So so sorry if I am Wrong.
Have a good day! :3
Need help!!!!!!! ASAP(10 points)
It is this -12x+1.50
the second one
Answer:
3[4 x 0.50=
Step-by-step explanation:
so you start by multiplying 4 x 0.50= 2
and next you mines 3 and 2 and get 1
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
Figure BA few examples of regular polygons are a triangle, quadrilateral, pentagon, hexagon, heptagon, and a decagon.
Step-by-step explanation:
Hope it is helpful....
PLEASE ANSWER ASAP!! Will give brainliest!!
Casey wants to buy a gym membership. One gym has a $70 joining fee and cost $35 per month. Another Jim has no joining fee and cost $70 per month. when would Casey pay the same amount to be a member of either gym? How much would he pay?
Answer:
same amount at 2 months. he'd pay 140.
Step-by-step explanation:
35(month) +35(month) =70(joining fee). 70+70=140. that's two months at the first gym.
the second gym is also 140 for the two months because each month is $70. and 70+70=140
Please help! Giving points :)!
Answer:
C
Step-by-step explanation:
3/5 + 1/4 = 0.85
0.85 as a fraction is 17/20
So the answer is C
what is 8 4/8 - 4 5/6?
Answer:
3.667
Step-by-step explanation:
I know math (and how to use a calculator)
help me pls i need this answered
Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-3 \frac{3}{5}[/tex] ÷ [tex]2 \frac{7}{10}[/tex]
Convert both mixed numbers to an improper fraction. This can be done by multiplying the denominator by the "number" part of the mixed number, then adding the result to the numerator.
[tex]- \frac{18}{5}[/tex] ÷ [tex]\frac{27}{10}[/tex]
Now divide the fractions, to divide the fractions, one will find the reciprocal of the recond fractions, and then multiply it by the first fractions. Remember, the reciprocal of a fraction is when one switched the numerator and denominator of a fraction.
[tex]-\frac{18}{5} * \frac{10}{27}[/tex]
[tex]= -\frac{180}{135}[/tex]
Simplify;
= [tex]-\frac{4}{3}[/tex]
Which statement correctly describes the relationship of the data shown in the scatter plot?
A. The data are insufficient for correlation.
B. The data show a negative correlation.
C. The data show a positive correlation.
D.The data do not show a correlation.
Answer:
B. The data shows a negative correlation
Convert the following decimal to a fraction.
2.48
Use the digits 1, 2, 4, 6, 7, 8, and 9 once in each number. Write five 7-digit numbers between 8 000 000 and 9 000 000. Order the numbers from
\
Answer:
8,976,421
8,974,621
8,974,612
8,976,124
8,976,214
Step-by-step explanation:
Solve the inequality
x2-x-12 < 0
+
Step-by-step explanation:
x2-x-12<0
x2-x<12
x=12
Peggy rode her bike 25 miles in 2 hours. At this rate, how far will she ride in 3 hours?
What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism?
Answer: 64=s3
Step-by-step explanation: V=s3
64=s3
find the cubic root of each side
3√ 64=s4=s
so the side of the cube is 4 cu in.
The surface area of a cube is
SA=nA
where SA
is surface area, n
is the number of faces, and A
is the area of one face.
Te area of one face (A) is s2 so
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$
Answer:
146.2
Step-by-step explanation:
Please answer the question in the image
Evaluate the expression for y = 2. Simplify your answer.
y − 12
y
=
Answer:
-10
Step-by-step explanation:
this is the answer have a great day
Find the value of angle b A: 46 B:24 C:134 D:66
Answer:
B
Step-by-step explanation:
Add 295 and 41 when you get the sum. Subtract it by 360 getting 24
Answer:
b 41 c 295. value of the angle
are the ratios 1:2 and 9:18 equivalent A.Yes. B.No
A right triangle has legs measuring 5 feet and 12 feet. If the legs of the triangle were doubled, what would be the difference in the original and enlarged perimeters?
Answer:
[tex]30[/tex]
Step-by-step explanation:
1. Approach
First, use the Pythagorean theorem to solve for the hypotenuse of the given right triangle. Then find the perimeter by adding up the values of all the sides. The problem then has the lengths of the legs doubled. When the legs undergo a scaling factor, the hypotenuse and perimeter undergo the same scaling factor. Here, the legs are doubled, hence the hypotenuse and the perimeter are also doubled. Finally, subtract the new perimeter from the original perimeter.
2. Find the original hypotenuse
Remember the Pythagorean theorem states;
[tex]x^{2}+y^{2}=z^{2}[/tex]
Where (a) and (y) are the legs (or the sides adjacent to the right angle), and (z) is the hypotenuse or the side opposite to the right angle.
Substitute in the given value and solve,
[tex](5)^{2}+(12)^{2}=z^{2}\\\\25 + 144 = z^{2}\\\\169=z^{2}\\\\\sqrt{169}=z\\\\13=z[/tex]
3.Find the perimeter of the original triangle
To find the perimeter of a polygon, one must add up the lengths of all the sides.
[tex]5 + 12 + 13\\\\= 30[/tex]
4. Find the new perimeter
In a right triangle, when both legs undergo a scaling factor, the hypotenuse also has the same change, and the perimeter also undergoes the same change. In this case, the length of the legs is doubled, therefore, the hypotenuse and the perimeter are also doubled.
New hypotenuse; [tex]26[/tex]
New perimeter; [tex]60[/tex]
5. Find the difference
Now all that is left is to subtract the new perimeter from the original perimeter;
(New_perimeter) - (original_perimeter)
= [tex]60 - 30[/tex]
= [tex]30[/tex]
At a car dealership, 72 trucks were sold in one month. If 60% of
the total vehicles sold were trucks, how many total vehicles were
sold that month?
A 12
B 132
C 120
D 160
Answer:
The total number of vehicles is: x = 120
Hence, option C is correct.
Step-by-step explanation:
Total trucks that were sold in one month = 72 trucks
Let 'x' be the total number of vehicles.
Given that 60% of the total vehicles sold were trucks.
Thus,
60% of x = 72
60/100 × x = 72
x = [72 × 100] / [60]
x = 120
Therefore, the total number of vehicles is: x = 120
Hence, option C is correct.
Answer:
C 120
Step-by-step explanation:
Have a great day
What is the range of the function when the domain is (-2, 3, 5)?
Answer:9
Step-by-step explanation:
Y = -3 + 1/2x 3x + 2y = 2
Help ASAP this is due today
Help me with math! Picture below
Answer:
2.8
Step-by-step explanation:
170 ÷ by how many seconds are in a minute, which is 60 seconds.
Find the mean of the data in the dot plot below.
Answer:
2.5
Step-by-step explanation:
Add up all the numbers, then divide by the total amount of the numbers
1+2+3+4=10
10/4=2.5
Answer:
I think 2.5 years
Step-by-step explanation:
Since mean is the same thing as average,
I added them together
1+2+3+4 = 10
then divided by the amount of numbers there are
10÷4=2.5
Please help on number 8 I’ll give points
A school’s toilets are broken. Don’t Flush Plumbing Company ™ charges $50 for a service call plus $10 per hour. Fire-in-the-Hole Plumbing™ charges $90 for a service call plus $5 per hour.
At what number of hours do both companies charge the same amount?
If the job takes 7 hours, which company charges the school the least amount of money ?
Answer:
Did you know that Aronson and Carnes-McNaughton's have the perspective on how they study
ancient things from the past.I agree that Aronson will agree with Carnes--McNaughton's statement because they both said the same thing but just in different words. For example in the book "If Stones Could Speak," it will tell what Aronson statement was about when it comes to archaeology and in "Profiles Of Archaeologist," it will tell you the same statement but just in different words. For example it states in the book "If Stones Could Speak," on page 56 "Marc Aronson believes that, “It is about putting aside what you think you know, what has been passed along, and being willing to trust what you yourself see and to test it rigorously.” From this quote the reader will now know what Aronson thinks when it comes to archaeology. In "Profiles Of Archaeologist." On paragraph 19 It states "Being an archaeologist means looking at the world around us in a different perspective. We live in the present as we study the past in order to learn what to do in the future---- on this planet and possibly other. We learn to be humanities while at the same time we practice as scientists. From this quote the reader can understand that both of these statements are similar but they are just reworded. In closing, This why I think that Aronson and Carnes will agree to what to what there statement was.
Step-by-step explanation:
Answer:
Part 1: At eight hours they both charge the same.
Part 2: Flush Plumbing charges the least
Step-by-step explanation:
Part 1:
Flush Plumbing Co Equation: 50 + 10 h (h = hours)
Fire-in-the-hole Plumbing: 90 + 5h (h = hours)
50 + 10h = 90 + 5h
Solve the Equation:
5h = 40
h = 8
Part 2:
Plug in 7:
Flush Plumbing: 50 + 10 x 7 = 50 + 70 = $120
Fire-in-the-hole Plumbing: 90 +5 x 7 = 90 +35 = $125
Flush plumbing chargers the least
Hope this is helpful!
-8((-2-3/4)-8) use the distributive property to rewrite expression
Answer:
86
Step-by-step explanation:
