Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?
a 45° clockwise rotation
a 90° clockwise rotation
a 90° counterclockwise rotation
a 180° counterclockwise rotation
Answer: The correct option is
(B) a 90° clockwise rotation.
Step-by-step explanation: Given that the co-ordinates of the vertices of figure FGH are F(1, 3), G(–1, 2) and H(2, 1).
The figure FGH is rotated using origin as the center of rotation and the the co-ordinates of the vertices of image figure F'G'H' are F'(3, -1), G'(2, 1) and H'(1, -2).
We are to select the type of rotation that could have taken place.
The transformation from the vertices of FGH to the vertices of image F'G'H' is
F(1, 3) ⇒ F'(3, -1),
G(-1, 2) ⇒ G'(2, 1),
H(2, 1) ⇒ H'(-1, 2).
Therefore, the transformation rule is (x, y) ⇒ (y, -x). This gives the rotation about origin through an angle of 90°.
Thus, the rotation of 90° clockwise taken place from figure FGH to image F'G'H'.
Option (B) is correct.
converse of the Pythagorean theorem
Answer:
I hope this helps u can use this u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
Trapezoid JKLM is shown on the coordinate plane below:
If trapezoid JKLM is translated according to the rule ( x, y)—>(x + 5, y-4), What are the coordinates of point L’ ?
A. (3,-3)
B. (1, -6)
C. (8,-6)
D. (-1, 3)
Answer: (8,-6)
Step-by-step explanation:
the coordinates are (3,-2)
(x+5, y-4)
(3+5,-2-4)
(8,-6)
Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1]. define z = min(u1, ..., un). find the
c.d.f. and the p.d.f of z.
Jerry will roll a number cube numbered 1-6 twice what is the probability of rolling an even number, then the number 3
Answer: ITS NOT 1/6, ITS 1/12
Step-by-step explanation:
I took the test :)
Two step equation; 0.7t - 3.2 = 1.7
2. Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only the three given points? (1 point) 8 6 4 2
the sum of two numbers is 40. the sum of the smaller and 5 times the larger is 144. find the numbers.
To find the two numbers, we can solve a system of equations. The smaller number is 14 and the larger number is 26.
Explanation:To find the two numbers, we can solve a system of equations based on the given information. Let's represent the smaller number as x and the larger number as y.
From the first equation, we have x + y = 40.From the second equation, we have x + 5y = 144.We can solve this system using substitution or elimination. Let's use substitution:
From the first equation, solve for x: x = 40 - y.Substitute this value of x into the second equation: (40 - y) + 5y = 144.Simplify the equation: 40 + 4y = 144.Subtract 40 from both sides: 4y = 104.Divide both sides by 4: y = 26.Substitute this value of y back into the first equation to find x: x + 26 = 40. Subtract 26 from both sides: x = 14.Therefore, the smaller number is 14 and the larger number is 26.
Learn more about Solving systems of equations here:https://brainly.com/question/29050831
#SPJ2
How many different outcomes are possible if you can choose between a bus or a train, full fare or concession and you can travel in the morning or the afternoon?
Applying the multiplication principle in probability, there are eight different combinations possible when choosing between bus or train, full fare or concession, morning or afternoon for your travel.
Explanation:Your question is asking how many different combinations of travel mode, fare type, and time of day are possible under given conditions. For this situation, we can apply simple probability rules with concept of multiplication principle, which states that if there are n ways to do something, and m ways to do another, then there are n * m ways to do both.
In this case, you have two choices for each category: mode of transportation (bus or train), fare type (full fare or concession), and time of day (morning or afternoon). The combination is simply 2 (mode of transport) * 2 (fare type) * 2 (time of day) = 8. So, there are eight possible outcomes.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ2
May I please have help with 2-14 even on this ? I'm horrible at math.
A Hindu might try to live a virtuous life to _____________.
A. be moved to a different caste in adulthood
B. be reborn as a person of higher caste
C. find a wealthy marriage partner
D. become a government official
Factor 10x - 25 to write an equivalent expression
what's the lateral area of the square pyramid 8m 8m 22 m
The formula for finding the lateral area of any square base pyramid is:
[tex] A=a\sqrt{a^2+4h^2} [/tex]
Where "a" is the base edge or the edge of the square and "h" is the height of the pyramid.
In our case, "a"=8 meters and "h"=22 meters
[tex] \therefore A=8\sqrt{8^2+4(22)^2} \approx357.77 [/tex] squared meters
Thus, the lateral area of the given square pyramid is 357.77 squared meters.
What is the area of this triangle in the coordinate plane? 25.0 units²
27.5 units²
50.0 units²
55.0 units²
True or false? if the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for μ will be relatively short. g
You get a $5,000 180-day 11% consumer loan on May 18. You make a $2,000 payment on July 18. Calculate the balance you still owe after the payment. Assume a 365-day year.
If triangle ABC is a triangle with m∠C = 90°, which of the following must be true about angles A and B?
If triangle ABC is a right triangle with ∠C = 90°, then angles A and B must be complementary.
Explanation:If triangle ABC is a right triangle with ∠C = 90°, then angles A and B must be complementary. This means that the sum of angles A and B will be equal to 90°. Therefore, the correct answer is option b.
Learn more about Complementary angles here:https://brainly.com/question/15592900
#SPJ12
The true statement about angles A and B is that a. Angles A and B are complementary.
Which must be true about angles A and BSince triangle ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.
This means that the sum of the measures of angles A and B is 90 degrees.
So, angles A and B are complementary angles.
In other words, if two angles are complementary, then the sum of their measures is equal to 90 degrees.
Read more about angles at
https://brainly.com/question/11164565
#SPJ3
Question
if aabc is a triangle with mlc = 90, which of the following must be true about angles a and b?
Angles A and B are complementary.
Angle B is greater than angle A.
Angles A and B are supplementary
Angle A is greater than angle B.
Please help me with this one. WILL MARK BRAINLIEST
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?
Answer:
[tex]3\frac{1}{6}[/tex]
Step-by-step explanation:
Given : A baker needs cups of flour = [tex]4\frac{3}{4} =\frac{19}{4}[/tex]
Solution :
Since we are given that she uses 1 measuring scoop for cup of flour = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]
She uses uses scoop for 1 cup of flour = [tex]\frac{1}{\frac{3}{2}}=\frac{2}{3}[/tex]
She uses scoops for [tex]\frac{19}{4}[/tex] cups of flour = [tex]\frac{2}{3}*\frac{19}{4}[/tex]
= [tex]\frac{19}{6}[/tex]
= [tex]3\frac{1}{6}[/tex]
Thus [tex]3\frac{1}{6}[/tex] scoops of flour must the baker use to have at least 4 3⁄4 cups.
convert
11 m^2 to yd^2
Which verbal expression best describes the algebraic expression 4x ÷ 6? (4 points)
The sum of four and some number divided by six
The quotient of four times some number and six
The product of some number and six divided by four
The quotient of four and some number times six
Answer:
its right i took test
Step-by-step explanation:
What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00?
Answer:
[tex]120^o[/tex]
Step-by-step explanation:
We are asked to find the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00.
Since we know that clock is a circle made of 360 degrees.
Angle described by minute hand in one minute equals to 6 degrees (360/60). Angle described by hour hand in 1 hour equals 30 degrees (360/12).
At 4:00 minute hand will be at 12 and hour hand will be at 4. So we will multiply 4 by 30 to find the measure of angle formed when the clock shows 4:00.
[tex]\text{Measure of angle}=4\times 30^o[/tex]
[tex]\text{Measure of angle}=120^o[/tex]
Therefore, the measure of the angle formed by the minute hand and the hour hand of a clock, when the clock shows 4:00 is 120 degrees.
John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get? Without calculating the answer, from the choices given, which is most reasonable? A. 100 miles per gallon B. –6 miles per gallon C. 30 kilometers per liter D. 25 miles per gallon
Answer:
Option D
Step-by-step explanation:
Given that John drives 257 miles and uses 9 gallons of gas.
we can find unit rate as
Per galon mileage given = 257/9 = 28
ANd units are miles/gallon
100 miles per gallon is very far from 28 hence incorrect
6 miles per gallon is very low
30 is right but unit is wrong
Hence option D is the right answer.
Chord AC intersects chord BD at point P in circle Z.
AP=3.5 in.
DP=4 in.
PC=6 in.
What is BP?
Answer:
5.25
Step-by-step explanation:
Your school gets a dunk tank for its spring fair. The tank is in the shape of a cylinder that is 5 feet high and has a radius of 3 feet. About how much water can the dunk tank hold? Use 3.14 for pi.
Answer:
140
Step-by-step explanation:
that's the answer on ttm
What is the volume of a cube with a side length of 13 inches? A. 1014 in3 B. 169 in3 C. 2197 in3 D. 39 in3
Find the area of the quadrilateral below. Hint, try dividing it up into two triangles.
The graphic compares two basketball shoes.
After researching many different shoes, Chris narrows down his choice to these two. Which shoes are the best deal?
1 the Hyper-Dunks because they will last for two seasons
2 the Air Slammers because they are the best price
3 the Hyper-Dunks because his favorite pro player wears them
4 the Air Slammers because those are what his teammates chose
Answer:
the answer is B
Step-by-step explanation:
Which expression is equivalent to 8x - 2y + x + x
Explain which type of graph would best, display the data showing the temperature of a liquid being heated in a science experiment?