Answer: The angles are 135° and 45°.
Step-by-step explanation:
In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.
If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.
If the angles are A1 and A2 we have:
A1 + A2 = 180°
and, we also know that A1 = 3*A2, we can replace it in the previous equation and get:
3*A2 + A2 = 180°
4*A2 = 180°
A2 = 180°/4 = 45°
then A1 = 3*45° = 135°
The angles are 135° and 45°.
is the dilation en enlargement or a reduction? what is the scale factor of the dilation?
Answer:
The dilation is an enlargement, and the scale factor is 2. So, the answer is B.
Step-by-step explanation:
The dilation is an enlargement, and the scale factor is 2.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
The image of the object undergoing transformation is given.
From the attached object, we se that CP = 4.
Also CP' = 8
Thus; Scale factor is 8/4 = 2
Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.
The scale factor of the given dilation is; 2 and the dilation is a enlargement.
Read more about Transformations at;
brainly.com/question/4289712
#SPJ2
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
https://brainly.com/question/18741430
#SPJ2
Pls solve for x hurry !
Answer:
7
Step-by-step explanation:
7x + 68 = 2x + 103
Subtract 2x from each side
5x + 68 = 103
Subtract 68 from each side
5x = 35
divide 5 from 35 and you get X = 7
PLS HELP MY HOMEWORK IS DUE SOON
Answer:
Seems like a personal issue
Step-by-step explanation:
Hint: Use your Brain!
If two angles are complementary to the same angle, then they are congruent to each other.
Answer:
supplementary
Step-by-step explanation:
Answer:
Congruent Complement Theorem
Explanation:
I also had virtualsc, and this was the answer I chose, and it was correct.
Declaring war and coining money are considered
states' rights.
implied powers.
national rights.
expressed powers.
Answer: Expressed powers
Step-by-step
20. Rewrite the following expression as a fraction times the variable.
-8a/9
Answer:
-8a times 1/9
Step-by-step explanation:
This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)
The expression is as fraction times the variable is (-8/9)a.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
As per the given,-8a/9
The variable in the above fraction is a.
Thus, (-8/9)a will be the representation in terms of the product of constant and variable.
Hence "The expression is as fraction times the variable is (-8/9)a".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
HELP EASY MATH PROBLEMS
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
Assuming Steven is paying, 51+45+2=98 cents.
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day
Penny wrote the mixed number 4 2/7 as 8/7. Describe Penny's error, and EXPLAIN how she should of have written the improper fraction
Answer:
She must have multiplied 4 times 2/7 which is 8/7. She should have written it as 30/7.
Step-by-step explanation:
How many solutions does the system of nonlinear equations graphed below
have?
Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
Step-by-step explanation:
Answer:
You Should see 4 Points
Step-by-step explanation:
PLEASE HELP THIS IS URGENT I AM BEING TIMED!!
Four children have the following weights: 45.5 pounds, 61 pounds, 37.2 pounds, and 16.34 pounds. What is the average weight of the children?
Answer:
40.01 lb
Step-by-step explanation:
mean:
(45.5+61+37.2+16.34)/4
160.04/4
40.01
Answer:
40.01
Step-by-step explanation:
First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer
what is the equation of a line that passes through the points -2 -2 and has a slope of four
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = 4x + 6 ← equation of line
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer: -$13.47 per hour
Step-by-step explanation:
Hi, to answer this question we have to write an expression:
The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :
9.25 (36) + 8 (380/20) =
Solving:
333+ 8 (19) =
333+152 = $485
If we divide the result by the number of hours:
485 /36 = $13.47 per hour
Feel free to ask for more if needed or if you did not understand something.
Answer:
$13.47 per hour
:):):):):):)
If anybody now this pls help my homework due TOMORROW
Answer:
Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]
Part B: C. [tex]3x(x-3) = 0\\[/tex]
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: [tex]y = (x + 1)(x+3)[/tex]
Now plug in 0 for x.
[tex]y = (0 + 1)(0+3)\\[/tex]
Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: [tex]3x(x-3) = 0[/tex]
Now plug in x for 0 and solve:
[tex]3* 0 (0-3) = 0\\[/tex]
[tex]0(-3) = 0\\[/tex]
[tex]0 =0\\[/tex]
This equation is true, now we check for the other value of x, 3.
[tex]3*3(3-3) = 0\\[/tex]
[tex]9(0) = 0\\[/tex]
[tex]0 =0\\[/tex]
This is also true so that means this is the correct answer.
Solve & Share
Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4
Answer:
[tex]19[/tex]
Step-by-step explanation:
[tex]3 + (6 -2) \times 4[/tex]
[tex]3 + (4) \times 4[/tex]
[tex]3 + 16[/tex]
[tex]=19[/tex]
Answer:
19
Step-by-step explanation:
use the other of operations
The equation 8-4x=0 has how many real solutions
Answer:
1 real solution (2)
Step-by-step explanation:
Answer:
one real solution
Step-by-step explanation:
8-4x=0
Add 4x to each side
8 = 4x
Divide by 4
8/4 = 4x/4
2 =x
There is one real solution
Solve for x. 9x=3x−3
Answer:
x=-1/2
Step-by-step explanation:
9X = 3X + -3
Reorder the terms:
9X = -3 + 3X
Solving
9X = -3 + 3X
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-3X' to each side of the equation.
9X + -3X = -3 + 3X + -3X
Combine like terms: 9X + -3X = 6X
6X = -3 + 3X + -3X
Combine like terms: 3X + -3X = 0
6X = -3 + 0
6X = -3
Divide each side by '6'.
X = -0.5
Answer:
x = -0.5Step-by-step explanation:
In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.
Step 1: Subtract 3x
6x = -3
Step 2: Divide by 6
-0.5
Step 3: Check
9(-0.5) = 3(-0.5) - 3
-4.5 = -4.5 ✅
I'm always happy to help :)
if 5800 people buy something that's 0.25 cents how much money would be made
Answer:
1450
Step-by-step explanation:
Take the amount of people times the dollar amount
5800 * .25 =1450
Find the coordinate of point k inside segment AE that is 3/7 the
distance from A to E.
Answer:
-6
Step-by-step explanation:
its the right answer
Which of the following proportions could be used to convert 12 quarts to gallons?
Answer: it is c.
Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.
Answer:
C
Step-by-step explanation:
C
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
5 lemons for $2.00
1 lemon is for 2/5=$0.40
Answer:
The answer is option C) $0.40
Step-by-step explanation:
Cost of 5 lemons= $2.00
cost of 1 lemon= 2.00/5
= 0.40
therefore $0.40 is the unit cost of each lemon in the bag.
Hope this helped you.
In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is
Answer:
The answer is 1-1/2 minutes.
Step-by-step explanation:
PLZ HELP I NEED HELP THANK YOU
Answer:
3rd one
Step-by-step explanation:
The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.
Answer:
1468 in^3
Step-by-step explanation:
you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.
big container: 10 x 10 x 15 = 1500
small container: 2 x 4 x 4 = 32
1500 - 32 = 1468
Twin brothers need help can anybody help them?
Answer:
210 cm^2
Step-by-step explanation:
3x-1 + 4x+1 + 3x = 70
10x = 70
x = 7
Now, Area of the triangle is 1/2 * b * h
therefore,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210
210 is the area!
Hope this helps! mark as brainliest if helped! thanks!
210 cm^2
3x-1 + 4x+1 + 3x = 70
Simplify
10x = 70
divide by 10
x = 7
So,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210 would be your final answer
Step-by-step explanation:
What is the measurement of Angle J?*
Answer:
So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees
Answer:
J = 45
Step-by-step explanation:
Since the two sides are the same, the base angles must be equal. Since it is a right triangle, the two angles share 90 degrees
90/2 = 45
Each angle is 45 degrees
J = 45
27 30 33 36 identify d in this
Answer:
d = 3
Step-by-step explanation:
d represents the common difference between consecutive terms in the sequence, that is
d = 30 - 27 = 33 - 30 = 36 - 33 = 3
Object------------- Diameter (cm) ----- Circumference (cm)
Coin --------------------------- 3 ------------------------- 10
Flying disc -------------------23--------------------------- 28
Jar lid---------------------------- 8------------------------------25
Flower pot -----------------------15------------------------------47
Owen measured the diameter and circumference of four circles. Which one of his measurements is the least accurate?
Coin
Flying disc
Jar lid
Flower pot
Answer: Flying disc
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula for each object:
Circumference(C) = π x diameter
CoinDiameter = 3
Circumference (measured) = 10
C (calculated) = π x d = π x 3 = 9.42
10≅9.42
Flying discDiameter =23
Circumference (measured) = 28
C (calculated) = π x d = π x 23 = 72.25
72.25 ≠ 28
Not accurate
Jar lidDiameter =8
Circumference (measured) =25
C (calculated) = π x d = π x 8= 25.13
25 ≠ 25.13
Flower potDiameter =15
Circumference (measured)=47
C (calculated) = π x d = π x 15 = 47.12
47 ≠47.12
Feel free to ask for more if needed or if you did not understand something.
Answer:
Jar lid
Step-by-step explanation:
If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)
Answer plz!
Which choices are equivalent to the expression below? Check all that apply.
The right options are:
Option A
Option B
Option C
Please see the attached picture.
hope it helps
Good luck on your assignment..
Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm
Answer:Area=258cm square
Step-by-step explanation:
Length:9 cm
Width:5 cm
Height:6 cm
=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square
Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism
Answer:
Option B. Pentagonal prism
Step-by-step explanation:
Option (A). Cube
Base of a cube is a square.
Option (B). Pentagonal prism
A prism is always defined by its base.
Example: triangular prism, rectangular prism
Therefore, pentagonal prism will have a base in the shape of a pentagon.
Option (C). Triangular prism
Triangular prism will have a triangular base.
Option (D). Rectangular prism
Rectangular prism will have a rectangular base.
