Answer:
Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior
Step-by-step explanation:
When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:
1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.
In the figure attached below, the alternate exterior angle pairs are labelled:
<3 and <6;
<4 and 5
2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.
In the figure attached below: the following are corresponding angles pairs:
<1 and <5;
<2 and 6;
<3 and <7;
<4 and <8
3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.
They are labelled:
<3 and <5;
<4 and <6
4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.
They are labelled:
<1 and <8;
<2 and <7;
Solve for h in the mathematical formula V=pi r^(2)h
Answer:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
Step-by-step explanation:
Lets try and get everything we can away from h.
V = [tex]\pi[/tex][tex]r^{2} h[/tex]
Divide [tex]\pi[/tex][tex]r^{2}[/tex] from both sides of the equation.
Now we end up with:
[tex]\frac{V}{\pi r^{2} }[/tex] = h
If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
learn more about line segment here ;
https://brainly.com/question/25727583
#SPJ2
Find the result when 85 is increased by 20%.
Answer:
102
Step-by-step explanation:
20% of 85 is 17.
85+17 = 102
hope this helps! :)
Answer:
102
Step-by-step explanation:
To find the new amount, multiply 85 by 1.2
85(1.2)
= 102
So, when 85 is increased by 20%, the result is 102.
YOUR TURN
3. Fifteen bicycles are produced each hour at the
Speedy Bike Works. Show that the relationship
between the number of bikes produced and the
number of hours is a proportional relationship.
Then write an equation for the relationship.
Answer:
The equation is: y = 15·x
Step-by-step explanation:
It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.
Consider the table below.
Number of Hours: 1 3 6 10
Number of Bicycles Produced: 15 45 90 150
Compute the ratio of number of bicycles produced and number of hours for every data above as follows:
[tex]\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1[/tex]
The ratio of the number of bicycles produced and number of hours is same for every data value.
Thus, the relationship between the number of bicycles produced and number of hours is proportional.
The equation for the relationship is:
y = 15·x
y = number of bicycles produced
x = number of hours
HELP WILL GIVE CROWN!!!!!
Answer:
d
Step-by-step explanation:
i know this question cause i got a A +on the test dont worry
Answer:
C. 9.6×10^7 kmStep-by-step explanation:
Given the distance
9.6×10^10 mConverted into km, considering 1 m = 10^-3 km:
9.6×10^10 × 10^-3 km = 9.6×10^(10 -3) km = 9.6×10^7 kmCorrect option is C
A truck can be rented from Company A for $150 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
140 miles
Step-by-step explanation:
Let
Number of miles = m
Total cost = fixed cost + variable cost
Company A = $150 + $0.40m
Company B = $80 + $0.90m
Equate company A and company B equation
Company A = Company B
$150 + $0.40m = $80 + $0.90m
Collect like terms
150 - 80 = 0.90m - 0.40m
70 = 0.50m
m = 70 / 0.50
= 140
m = 140 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
Sydney and her friend are having a party. Sydney bakes two pies and stephanie brings two or more. Then, they cut each pie into 6 pieces. How many pieces of pie will they have for the party?
Answer:
24 pieces
Step-by-step explanation:
Sydney bakes two pies, stephanie brings two more.
Together we have a total of four pies
each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.
6 x 4 = 24
What is the elevation of Tammys house
Answer: 38
Step-by-step explanation: quite simple if you do the math 24 + 14 you get 38 which we can conclude as the angle of his house
At their annual car wash, the science club washed 30 cars in 45 minutes. At this rate, how many cars will they wash in 1 hour? A- 40, B-45, C-50, D-60
Answer:
The answer is A 40 cars
Step-by-step explanation:
We can see by dividing 30 by 45 you get 0.66667 repeating. If you then multiply 0.66667 by 60 (There are 60 minutes in an hour) You get 40.02. This rounds down to 40. Please mark me brainliest, and have a tremendous day!
Please look at the image.
Answer:
It is the first option
Step-by-step explanation:
hope this helps you
Solve for missing angle
Answer:
so the exterior angle 152 is made from the interior angle being subtracted from 180. we can also subtract 152 from 180 to find the interior angle. 180-152=28 the inside of a triangle is a total of 180 degrees so 110+28=138 180-138=42 degrees. 42 degrees is the final interior angle and the missing and the missing exterior angle is congruent to the 42 degree angle. So the missing exterior angle is 42 degrees
Step-by-step explanation:
The picture attached has work and the answer! :)
find the distance traveled in 15 seconds by an object moving with a velocity of v(t)= 20 + 3t feet per second where t is the time in seconds.
Answer:
4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4
These are two separate questions by the way :)
1. 2v +8 < 3y + 1
2. - 7m - 16 >= - 2(7 + 3n) - 2
Answer:
1. [tex]v<\frac{3y-7}{2}[/tex]
2. [tex]m\leq \frac{6n}{7}[/tex]
Step-by-step explanation:
1. [tex]2v+8-8<3y+1-8[/tex]
[tex]2v<3y-7[/tex]
[tex]\frac{2v}{2} <\frac{3y}{2} -\frac{7}{2}[/tex]
[tex]v<\frac{3y-7}{2}[/tex]
2. [tex]-7m-16+16\geq -2(7+3n)-2+16\\[/tex]
[tex]-7m\geq -6n\\[/tex]
[tex]7m\geq 6n\\[/tex]
[tex]\frac{7m}{7} \leq \frac{6n}{7}[/tex]
[tex]m\leq \frac{6n}{7}[/tex]
A number k is greater than 3. Which of the following is true about 3 k ?
GIVING BRAINLIEST!!!!!!
SOLVE FAST
Answer:
Step-by-step explanation:
a(x) = 3x + 2
-3,0,5,6
a(-3) = 3*(-3) + 2
a(-3) = - 9 +2
a(-3) = - 7
===============
a(0) = 3*0 + 2
a(0) = 2
================
a(5) = 3*5 + 2
a(5) = 15 + 2
a(5) = 17
================
a(6) = 3*6 + 2
a(6) = 18 + 2
a(6) = 20
(3,4) and (9,2) find slope
Answer:
m = -1/3
Step-by-step explanation:
m= rise over run
2-4 1
____ = - __
9-3 3
Answer:
-1/3 is the slope
Step-by-step explanation:
I attached an image below to show you how i did this. I hope this helps :)
When making bread from scratch, the recipe calls for
3/4
cup of water. If you need to make a smaller
portion of the recipe, how much water would you need in order to make only 1/6 of the recipe?
Give your answer as a fraction, reduced to lowest terms
Answer:
1/8 of a cup.
Step-by-step explanation:
That would be 1/6 of 3/4
= 1/6 * 3/4
= 1*3 / (6*4)
= 3/24
= 1/8.
Whats the domain and range
Answer:
d= all the x values
r=all the y values
Step-by-step explanation:
HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
it is C
Step-by-step explanation:
it is c because all of the other answers are stated in the article, and a opinion is something you think
the difference of three times a number x and 4
Answer:
3x - 4
Step-by-step explanation:
Difference means subtraction.
Times means multiplication.
Three times a number x; 3 * x = 3x
3x - 4
Best of Luck!
It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.
Given, the number to be considered is x
Three times x = 3x4 is subtracted = -4The required equation will be:
➝ 3x - 4
And this is only our final answer. And we are done !
Carry On Learning [tex]![/tex]
1) Mr. Turnage spent $800 on a new computer. He used his debit card to
make this purchase. In his bank account he had $783. What will his bank
account balance show after making this purchase?
Answer:
-62, because he didn't have enough of his money since he was using debit.
Sorry, but I also need help on this
The measure of the supplement of an angle is three times the measure of the
angle.
Find the measures of the angle and its supplement.
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
HELP!!!
Your health insurance premium is $225 monthly. Your deductible is $2000, how much will your health insurance premium and deductible cost you annually?
A. $2700
B. $4700
C.$5500
D.$2000
Brainlest:
10 1/2 divided by 3/8 = 12/2 times 8/3= 9/6 is this ture?
Answer:
No, i dont think so
Step-by-step explanation:
10 1/2 divided by 3/8:
KCF (keep, change the sign, flip the fraction)
·21/2×8/3=168/6
168/6=28
12/2×8/3=16
therefore they are not equal so it is not true
Hope this helped ;)
Answer:
well lets solve this:
10 1/2-->21/10
21/10 dvided by 3/8-------> to divide fractions we do this: 10/21 x 3/8 (swap the denom and num of the firs fraction then multiply by the sec)
10/21x3/8=30/168 = 3/56
12/2 x 8/3 = 6x 8/3= 6/1x8/3=48/3
48/3 simplified is 16/1 =16
3/56x16/1 = 48/56
48/56=24/28=12/14=6/7
Step-by-step explanation:
Therfore this is false
-hope this helps
WILL MARK BRAINIEST!!! HAS TO BE CORECT!!!
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?
StartFraction 3 over 1 EndFraction = StartFraction 2 over 6 EndFraction
StartFraction 3 over 6 EndFraction = StartFraction 2 over 1 EndFraction
One-third = StartFraction 6 over 2 EndFraction
One-third = StartFraction 2 over 6 EndFraction
Answer:
here the answer! There is the proof it's right. :)
Step-by-step explanation:
Answer:
1/3 = 2/6
Step-by-step explanation
Edu correct
Question 5
Measure the lengths of the sides of ABC. Then measure the lengths of the sides of A'B'C' when A'B'C' coincides with the other three
triangles. Record the measurements in the table.
Answer:
Step-by-step explanation:
Answer:
Length Length Length Length
1.41 1.41 1.41 1.41
2.24 2.24 2.24 2.24
3 3 3 3
Step-by-step explanation:
.
Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.
Answer:
Step-by-step explanation:
Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2
First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.
Multiply through by 16
48x+5= 12-2x-8
Next is to collect the like terms
48x+2x = -8+12-5
50x = -1
Divide both sides by 50
50x/50 = -1/50
x = -1/50
The value used to multiply both sides is 16 and the value of x is -1/50
Help help!!!!!!!!!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
4 x 1 / 2
Reduce the numbers with the greatest common factor 2
5 x 2 = 10
Triangle ABC has a perimeter of 22cm.
AB=8cm
BC=5cm
By calculation deduce, whether triangle ABC is a right angled triangle
Answer:
Step-by-step explanation:
perimeter=22
AB+BC+AC=22
8+5+AC=22
AC=22-13
AC=9
Apply the Pythagorean theorem:
AB²+AB²=AC²
8²+5²=64+25=89
AC²=9²=81
no it is not a right triangle because it failed the Pythagorean theorem