Answers
Answer:
Part A
The two figures, ΔABC and ΔPQR are congruent by the SSS rule of congruency
Part B
The rigid motion that maps ΔABC to ΔPQR are a 180° clockwise rotation about the origin, followed by a horizontal shift of 1 unit to the right
Step-by-step explanation:
Part A
The given coordinates of the vertices of triangle ABC are;
A(-8, -2), B(-3, -6), C(-2, -2)
The length of side AB = √((-6 - (-2))² + (-3 - (-8))²) = √41
The length of side AC = √((-2 - (-2))² + (-2 - (-8))²) = 6
The length of side BC = √((-6 - (-2))² + (-3 - (-2))²) = √17
The given coordinates of the vertices of triangle PQR are;
P(9, 2), Q(4, 6), R(3, 2)
The length of side PQ = √((6 - 2)² + (4 - 9)²) = √41
The length of side PR = √((2 - 2)² + (3 - 9)²) = 6
The length of side RQ = √((6 - 2)² + (4 - 3)²) = √17
Given that the length of the three sides of triangle ABC are equal to the lengths of the three sides of triangle PQR, we have;
ΔABC ≅ ΔPQR by Side Side Side rule of congruency
Part B
Whereby AB and PQ, and BC and RQ are pair of corresponding sides, the rigid motion that maps ΔABC to ΔPQR are;
1) A 180° clockwise (or counterclockwise) rotation about the origin followed by
2) A shift of 1 unit to the right.
Related Questions
3-6 x (34 divided by 30)2
Answers
Answer:
3-6
Step-by-step explanation:
The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².
To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:
First, let's simplify the exponent expressions within the parentheses:
3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)
3⁰ = 1 (because any number raised to the power of 0 is 1)
Now, we can rewrite the expression with the simplified exponents:
3⁻⁶ × (81 ÷ 1)²
Next, simplify the division within the parentheses:
81 ÷ 1 = 81
Now, the expression becomes:
3⁻⁶ × 81²
Simplify the exponent:
81² = 6561 (because 81 × 81 = 6561)
Now, the expression becomes:
3⁻⁶ × 6561
1/729 × 6561
6561/729
dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:
729/81
We get 9 which is equal to 3².
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ6
Find the greatest common factor of 24x^2 and 42xy^3 .
Answers
Answer:
12y2
Step-by-step explanation:
Find the volume of an oblique circular cylinder that has a radius of five feet and a height
of three feet
Answers
Answer:
235.5 cubic feet
Step-by-step explanation:
The volume v of a circular cylinder whose base radius is r and height h is given as
v = πr^2h
where π is 22/7 or 3.14
Given that the radius is five feet and the height is three feet
the volume v = 3.14 *5^2 * 3
= 235.5 cubic feet
The volume of the oblique circular cylinder is 235.5 cubic feet
PLEASE HELP!! DON'T JUST TAKE POINTS :(
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answers
Answer:
I think the most upright answer would be D
Step-by-step explanation:
why does the quadratic formula work all the time
Answers
the quadratic formula work all the time because it is suitable for every equation.
I ready linear models choose the line that is the best fit for the data
Answers
Answer:
The Answer is lime 2 if not line 4
Step-by-step explanation:
YEp:)
I can't figure it out
Answers
Answer:
V = 17,371.8
Step-by-step explanation:
V = π r^2 h
V = π (12)^2 (38.4)
V = 17,371.75073729
V = 17,371.8
You have to calculate the area of the base of the cylinder (the circle) by using the formula π r^2, r = the radius of the circle. You are squaring the r because r^2 = diameter. The formula to get the area of a circle is π r ^2. To get the volume you need to multiply the area of the circle by the height of the cylinder. All together the total formula to get the volume of a cylinder is π r^2 h
Factor the expression using the GCF.
42 – 12 =
Answers
Answer:
30
Step-by-step explanation:
Well 42
-
12
30
What is AB?
Triangle ACB is right angle triangle. The length of AC is 12 and BC is 35.
Answers
Answer:
the answer is 35
Step-by-step explanation:
because if BC is 35 that means AB will have to be that same because it's a triangle
The required value of AB is 33 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Triangle ACB is a right-angle triangle. The length of AC is 12 and BC is 35.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Assume BC is the hypotenuse,
Since this is a right triangle, use the formula AB² + AC² = BC² and substitute values of AC = 12 and BC = 35.
AB² + AC² = BC²
AB² + (12)² = (35)²
AB² + 144 = 1225
AB² = 1225 -144
AB² = 1081
AB = 32.8785
Rounded to two decimal places,
AB = 33 units
Therefore, the required value of AB is 33 units.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
How many students choose strawberry kiwi
Need help with the answer please
NO LINKS!!!
Answers
Answer:
15 students. 30%
Step-by-step explanation:
A builder has an 6-acre plot divided into 1 4 -acre home sites. How many 1 4 -acre home sites are there?
Answers
Complete question :
A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?
Answer:
24 home sites
Step-by-step explanation:
Given :
Total size of land = 6 - acre
Size of each home site = 1/4 acre
Number of home sites obtainable from the 6-acre land :
Total size of land ÷ size of each home site ;
6 ÷ 1/4
6 * 4/1
= 24
Hence, 24 home sites are on the plot of land.
is 12, -15, -18, -21 arithmetic
Answers
Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism
Answers
Answer:
Surface area of cuboid = 78 unit²
Step-by-step explanation:
Given diagram is a cuboid prism
Given:
Length of cuboid = 5 unit
Width of cuboid = 3 unit
Height of cuboid = 3 unit
Find:
Surface area of cuboid
Computation:
Surface area of cuboid = 2[lb + bh + hl]
Surface area of cuboid = 2[(5)(3) + (3)(3) + (3)(5)]
Surface area of cuboid = 2[15 + 9 + 15]
Surface area of cuboid = 2[39]
Surface area of cuboid = 78 unit²
Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14
Answers
Answer: its 4x(3+2)-6÷ 1=14
Step-by-step explanation: in the picture
67 is 42% of what number?
Answers
Answer:
28.14
Step-by-step explanation:
An English teacher reviewed 2/3 of an essay in 1/4 of an hour. At this rate, how many essays can she review in 1 hour?
Answers
Answer: 2 2/3
Step-by-step explanation:
Answer:
2 2/3
Step-by-step explanation:
Why is convenience sampling biased? a. It takes too long to obtain b. none of the above c. The sample does not represent the population d. is too easy
Answers
Answer:
A
Step-by-step explanation:
Answer:
A)
Step-by-step explanation:
Right answer will be marked brainlist .
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?
Answers
Answer: should be 7819.20
explanation:
7200 * .043 * 2 = 619.20
7200 + 619.20 = 7819.20
What is the length of AC
A)72
B)8
C)None of these
D)136
E)132
F)96
Answers
Find the surface area of the prism.
7 cm
13 cm
5 cm
12 cm
The surface area is
Answers
Answer:
please give more information
Step-by-step explanation:
Answer this question please
Answers
help me out and ill give brainliest
Answers
Answer:
C
Step-by-step explanation:
Y= MX (The Slope which is Rise/Run) minus 2 (The Y-Intercept).
A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available.
Answers
Answer: y = (3^(x-1))*1500
Step-by-step explanation:
We want the relationship
y = f(x)
where y is the number of songs, and x is the number of years.
We know that in the first year, x = 1, the site has 1,500 songs.
The next year, x = 2, the number of songs is tripled, then we will have:
1,500*3 = 4500 songs.
The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.
when x = 4, the number is tripled again:
3*(3^2)*1500 = (3^3)*1500
We already can see the pattern, for the year x, the site will have:
y = (3^(x-1))*1500 songs.
This is the equation we are looking for.
I NEED HELP WITH MATH PLS
screenshot is posted below
Answers
Answer: The correct answer is A or B
`
Step-by-step explanation:
please helpppp which function h(x) results when g(x) is translated 7pi/8 units right and one unit down????
Answers
Answer:
The second option
Step-by-step explanation:
Rhonda has an extra credit protect to make a rectangular prism whit the volume of at least 24 in*3 . if the area of her base is 6 in*3 , which inequality would represent all the possible heights, h, of her prism in order to meet her teachers requirements
A. h > 4
B. h > 8
C. h < 4
D. h < 8
Answers
Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did she have left for gift C? Solve
Answers
Answer: [tex]\$16\dfrac{9}{10}[/tex]
Step-by-step explanation:
Given
Hannah had 30 dollars
Money spent on gift A
[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]
money spent on gift B
[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]
Money spent on gift C
[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]
PLEASE HELP WILL MARK BRAINLIEST HELP QUICK!!
Answers
Answer: Your Answer would be A
Step-by-step explanation:
Isabel and Jonah had 2 pies. Isabel wrote the equation ½ + ⅙ = 4/6 and Jonah wrote 3/6 + 1/6 = 4/6 to represent combining the pie pieces. Explain why both equations are correct.
PLEASE JUST TYPE THE ANSWER AND DON’T LEAD TO ANY LINKS
Answers
The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
A) 3 pi
B) 6 pi
C) 12 pi
D) 24 pi
Answers
Answer: 3 inches
Step-by-step explanation: IT MIGHT BE IF ITS WRONG IM SORRRYYY
