Answer:
The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0) ⇒ (A)
Step-by-step explanation:
Let us talk about dilation
A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change.The scale factor measures how much larger or smaller the image will beIf the scale factor greater than 1, then the image will be largerIf the scale factor between 0 and 1, then the image will be smaller→ If point (x, y) dilated with scale factor m about the origin, then
→ Its image is (m x, m y)
Let us solve the question
∵ ΔXYZ has vertices:
→ X = (0, 0)
→ Y = (6, 9)
→ Z = (15, 0)
∵ ΔXYZ is dilated by a scale factor 1/3 about the origin
→ Multiply each coordinate in each vertex by the scale factor 1/3
∵ (0 × [tex]\frac{1}{3}[/tex] , 0 × [tex]\frac{1}{3}[/tex] )
∴ X' = (0, 0)
∵ (6 × [tex]\frac{1}{3}[/tex] , 9 × [tex]\frac{1}{3}[/tex] )
∴ Y' = (2 , 3)
∵ (15 × [tex]\frac{1}{3}[/tex] , 0 × [tex]\frac{1}{3}[/tex] )
∴ Z' = (5, 0)
∴ The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0)
Solve for 2+|x-1|=8.
Answer: 7,-5
Step-by-step explanation:
The measures of two angles of a triangle are each four times the measure of the third angle. What is the measure of the third angle? (hint: The sum of the angle measure of a triangle are 180°)
Answer:
20°
Step-by-step explanation:
The sum of all triangles must equal 180 degrees.
The measure of two angles of a triangle are each four times the measure of the third angle.
2x+x/4=180
The equation above illustrates a way to solve for X which represents the the independent angle measurement from the two angles.
x = 80
Above, we solved for x by simplifying both sides of the equation and then isolating x. So hmm...does 80 make sense?
80 / 4 = 20. So it is four times the measure of the 3rd angle. But does it all equal to 180?
2 * 80 + 20 = 180.
The angle of the third angle is 20 degrees.
The total number of triangles must be 180 degrees, and the two angles of a triangle are measured every four times the third angle measurement. So, the calculation can be defined as follows:
[tex]\to \bold{2x+ \frac{x}{4}=180}[/tex]
The above equation illustrates a way of resolving the indie angle measurement from both angles for X.
[tex]\bold{x = 80}[/tex]
Above we solved x through simplification and isolation of the x on both sides of the equation.
So 80 is meaningful.
[tex]\frac{80}{4 }= 20.[/tex] Thus, 4 times the 3rd angle measurement. But it all equates to 180.
[tex]\to \bold{ 2+4 = 2 \times 80 + 20.}[/tex]
Therefore, the third angle is 20 degrees.
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Given : angle1 cong angle2 Prove p||q
Answer:
Step-by-step explanation:
The two angles ∠1 and ∠3 are equal by the alternate exterior property.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.
According to the alternate outside angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.
Here the two angles ∠1 and ∠3 are alternate exterior angles and are equal to each other.
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What’s the distance between (-9,-10) and (-3,5)
`Geometry Question 1 thxx
Answer:
b) all interior angles are right angles
Use the Distributive Property to expand the expression. (r + 11)2
Answer:
2r+22 because you have to multiply the r by 2 and then you also have to multiply the 11 by 2 making it 2r+22
help i will mark you as brainliest if u get it correct
[tex]-\frac{3}{4}[/tex] ÷ 2[tex]\frac{2}{5}[/tex] =
Answer:
-0.3125
Step-by-step explanation:
Skyler competes in the high jump event at her school. She hopes to tie or break some records at the next meet.
You can drag Skyler to see possible heights for the high jump bar.
A. Write and solve an equation to find x, the number of meters Skyler must add to her personal best to tie the district record.
Enter your answer.
B. Look for Relationships Rewrite your equation as an inequality to represent the situation where Skyler breaks the district record. How is the value of x in the inequality related to the value of x in the equation?
Equations are expressions that have equal values, while inequalities are used to represent unequal expressions
The number of meters Skyler must add is 0.09The inequality that represents the scenario is [tex]x + 1.48>1.57[/tex]How to determine the number of metersFrom the question,
Skyler's personal best is 1.48 meters highThe high jump bar is 1.57 meters highThe number of meters (x) Skyler must add is represented using the following equation
[tex]x + 1.48 = 1.57[/tex]
Solve for x
[tex]x = 0.09[/tex]
The inequalityTo break the record, the number of meters added to his personal best must be greater than 1.57.
So, we have:
[tex]x + 1.48>1.57[/tex]
Solve for x
[tex]x > 0.09[/tex]
Hence, the number of meters Skyler must be greater than is 0.09 meters
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evaluate r(x) = -x -7 when x = -2, 0, and 5
Answer:
r(-2) = -5 , r(0) = -7 , r(5) = -12
Step-by-step explanation:
Plug in the numbers for x and then solve. : )
r(-2) = - (-2) - 7
r(-2) = 2 -7
r(-2) = -5
r(0)= -0 -7
r(0)=0-7
r(0) = -7
r(5) = -5 - 7
r(5) = -12
The values of r(x) for x = - 2, 0 and 5 are obtained by Substituting the values for x in the function, hence the values are :
r(-2) = -9r(0) = -7r(5) = -2When x = - 2
Substitute the value of x = - 2 into the function r(x) = - x - 7 r(-2) = - 2 - 7 = - 9When x = 0
Substitute the value of x = 0 into the function r(x) = - x - 7 r(-2) = 0 - 7 = - 7When x = 5
Substitute the value of x = 5 into the function r(x) = - x - 7 r(-2) = 5 - 7 = - 2Therefore, the required values are - 9, - 7 and - 2
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M is the midpoint of RS and R has coordinates (2,5 M has coordinates (6,9) find the coordinates of S
here is the ans my friend
The midpoint of the line RS will be (4,7).
What is a midpoint?The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
The midpoint will be calculated by using the formula below:-
Midpoint = [ ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ]
The given points are (2,5) and (6,9). The value of the midpoint will be calculated by using the formula above:-
Midpoint = [ ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ]
Midpoint = [ ( 2 + 6 ) / 2 , ( 5 + 9 ) / 2 ]
Midpoint = [ ( 8 ) / 2 , ( 14 ) / 2 ]
Midpoint = [ 4 , 7 ]
Therefore, the midpoint of the line RS will be (4,7).
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Solve the problem for Part A and Part B
Part A answer is (A)
Part B answer is 3.170
The points earned by each choir team during the All-State Competition are as follows:
Choir Choir A Choir B Choir C Choir D
Points 129.5 130.1 130.8 129.8
If points are reported by rounding to the nearest whole number, which team has a different score? (5 points)
Choir A
Choir B
Choir C
Choir D
Answer:
d
Step-by-step explanation:
What is the value of x? 0.6x − 3.2=0.4 − 0.3x
Answer:
x=4
Step-by-step explanation:
I just did the test bc o.g o r j fo uf I f
PLEASE HELP WILL GIVE YOU 38 POINTS
number 1. 14b = -56
number 2. m/4 = -13
number 3. n - 8 = -10
number 4. -7 + m = 8
Answer:
1. b=-4
2. m=-52
3.n=-2
4. m=15
Step-by-step explanation:
1. 56/14 is 4 but since it is negative it is negative 4
2. m=-52 because -13*4=-52
3. since it is integers it would be keep-change-change so it would be n+(-8)=-10 so n=-2
4. 7+8 equals 15.
0.18(y-1)= 0.24(2y-3)
plz explain briefly and correctly plz answer only if u know
Answer: Y = 1.8
Step-by-step explanation:
So the parentheses that is next to the 0.18 is everything 0.18 is being multiplied by, it is the same as saying 0.18 x y and 0.18 x -1 and the same thing on the other side.
so your new equation would be
0.18y -0.18 = 0.48y - 0.72
You have a few options next, you want to get the y variable all by itself, so you should get rid of everything next to it, and you do that by doing the opposite of what it is to cross it out of one side and do it to the other side, for example
0.18y -0.18 = 0.48y -0.72
0.18y +0.18 = 0.48y -0.72 + 0.18
0.18y = 0.48y -0.54
now that you have y alone on one side, you may use the other y and subtract it from both sides.
0.18y - 0.48y = -0.54
-0.3y = -0.54
now to get y completely alone, divide it by -0.3 and -0.54
and you get the answer of Y = 1.8
really easy i just don't feel like doing it, 10 extra points, (find x)
Devin's Crackers will make 7,536 ounces of cheese crackers next year. The company plans to put the crackers into 48-ounce boxes. How many boxes will the company be able to fill next year?
Answer:
157 boxes
Step-by-step explanation:
Take the total amount of ounces to be made, and divide by the 'size' of the box. with 7,536 ounces to be made and the boxes being 48 ounces: 7536/48 will equal 157 boxes filled.
Answer:
157
Step-by-step explanation:
7536 / 48
157
Best of Luck!
Which expression shows how to convert 60 hours to days
60 hours/1 × 1 hour/24 days
60 hours/1 × 1 day/24 hours
60 hours/1 × 24 hours/1 day
60 hours/1 × 24 days/1 hour
Answer:
60 hours/1 × 24 hours/1 day
Step-by-step explanation:
The items mentioning 24 days don't make sense in this situation (or in general), and 1 day/24 hours is incorrect unit rate formatting.
Answer:
60 hours/1 × 24 hours/1 day
Step-by-step explanation:
The items mentioning 24 days don't make sense in this situation (or in general), and 1 day/24 hours is incorrect unit rate formatting.
Step-by-step explanation:
12. 8а + 4 = 4 + 8а property
Answer:
Commutative Property of Addition
Step-by-step explanation:
8а + 4 = 4 + 8а
Commutative Property of Addition a + b = b + a
We changed the order of the addition
5p - 14 = 5p + 19
No solution one solution and all real number
Answer:
No solution
Step-by-step explanation:
5p - 14 = 5p + 19
→ Minus 5p from both sides
Immediately the p's cancel each other out there there is no solution
if x/3 - 5 = -9, then what is the value of 2x – 1 ?
Answer:
-9/3
Step-by-step explanation:
x/3= -4
x= -4/3
2(-4/3) -1= -9/3
Answer:
-2
Step-by-step explanation:
Name two Acute, Vertical Angles using the figure below."
Answer:
EKH and FKG
Step-by-step explanation:
They are both under 90 degrees as shown by angle FKJ, and they are directly opposite of eachother.
The two Acute and Vertical angles are <EKH and <GKF.
What is vertical angles?Vertical angles are angles opposite each other where two lines cross.
According to the figure the acute angle which means less than 90 degrees would be <EKH, < GKJ and <GKF.
But also vertical angles then it would be <EKH and <GKF.
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Two trucks started toward each other at the same time from towns 500 km apart. One truck traveled at a rate of 65 km per hour while the other traveled at 60 km per hour. After how many hours did they meet? 1 x represents the number of hours, which of the following equations could be used to solve the problem? 65x60x500 65x60x500 65x60x
Answer:
65x + 60x = 500
Step-by-step explanation:
yep
Express the following in scientific notation:
.000457
The scientific notation of the given decimal number is [tex]4.57\times 10^{-4}[/tex].
The given decimal number is 0.000457.
We need to express the given number in scientific notation.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.36\times 10^{6}[/tex]. It is a form of presenting very large numbers or very small numbers in a simpler form. The scientific notation helps us to represent the numbers that are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small.
The scientific notation of the decimal number 0.000457=[tex]4.57\times 10^{-4}[/tex].
Therefore, the scientific notation of the given decimal number is [tex]4.57\times 10^{-4}[/tex].
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Im confused on domain and range
Answer: Domain is the X line and Range is the Y line on a graph
Step-by-step explanation:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.WHICH OF THE FOLLOWING STATEMENTS CANNOT BE DETERMINED FROM THE DIAGRAM
Answer:
Option (B).
Step-by-step explanation:
Option (A).
A, F and B are lying on a line on the plane M.
True.
Option (B).
CD lies on the plane M, but its not clear that angle between the plane M and P is 90°.
False.
Option (C).
A, B and C are coplanar.
Since, these three points lie on the plane M, they are coplanar.
True.
Option (D).
Plane M intersects plane P in FH.
Since, line of intersection of the two planes M and P will be FH.
True.
Therefore, Option (B) will be the correct option.
Evaluate f(x)=6x² – 12 when x=-3.
A -30
B 42
C -48
D 312
Answer:
B
Step-by-step explanation:
f(x) = 6x² - 12
f(-3) = 6(-3)² - 12
f(-3) = 6(9) - 12
f(-3) = 54 - 12
f(-3) = 42
Best of Luck!
Answer:
-48
Step-by-step explanation:
its -66 but ok
1.A cell phone is advertised for 25% off the list price of D dollars. Write an algabraic expression that represents the sale price of the phone?
2. A car travels for 10 hours at an average speed of s miles per hour, write an algabraic expression that represents the total distance traveled by a car.
Answer:
$0.75D ; 10s miles
Step-by-step explanation:
1)
Given that:
List price of phone = $D
Advertised price = 25% off the list price
Hence, sales price of phone :
(100% - 25%) × list price
Sales price = 75% × $D
Sales price = $0.75D
2)
Given that :
Time of travel = 10 hours
Speed of travel = s miles per hour
Total distance traveled = (speed of travel × time of travel)
Total distance traveled = (10 * s) miles
My mom packed my lunch three of the past five days, so the probability of my mom packing my lunch is 3/5. Is this Experimental or Theoretical?
Answer:
definitely theoretical. Seems how mom packed the lunch 3/5 times a week, the pattern will follow
Step-by-step explanation:
The given probability is the theoretical probability.
Given that, my mom packed my lunch three of the past five days, so the probability of my mom packing my lunch is 3/5.
What are theoretical and experimental probabilities?Experimental probability is based on the results of several trials or experiments. Theoretical probability is calculated by taking the number of favourable outcomes over the total number of outcomes. Experimental probability is calculated by taking the actual outcomes over the total number of trials.
Now, my mom packed my lunch for three days of the past five days.
Number of favourable outcomes=3
Total number of outcomes=5
Probability of an event =3/5
Therefore, the given probability is the theoretical probability.
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solve for w: -5+[tex]\frac{w}{3}[/tex]=-1
(A) 12
(B) -12
(C) 2
(D) -2
Answer:
a-12
Step-by-step explanation:
hope it helps
