We know that a 90-degree clockwise rotation is the same as a 270-degree counterclockwise rotation, which means that the coordinates of each point in the original triangle BAC will be flipped across the x-axis, and then rotate 270 degrees.
We also know that a dilation at a scale factor of 2 means that the coordinates of each point are multiplied by 2.
Based on these transformations, the statement that is true is <C=<Z
In triangle BAC, point C has the same coordinates as point Z in triangle XYZ.
This because, the original point C is transformed by rotating 90 degrees counterclockwise and scaling by a factor of 2, This result in point C moving to the position of point Z.
The rest of the statements are not true based on this rotation and dilation because the coordinates of points A, B, and Y will be different from the original triangle BAC.
solve by completing the square
-x^2=5x-14
Answer:
Roots: -7, 2
Step-by-step explanation:
-x² = 5x - 14
-x² -5x +14 = 0
x² + 5x - 14 = 0
(x + 7)(x -2) = 0
x = -7 or x = 2
PLEASE HELPPPPPP..........
Answer:
D.
Step-by-step explanation:
Polyhedron
Answer:
Polyhedron
Step-by-step explanation:
A solid that is bounded by polygons, called faces, that enclose a single region of space.
Which exponential function has an initial value of 2?
Of(x) = 2(3)
Of(x) = 3(2)
X
-2
-1
TY
f(x)
18
f(x) =2(3ˣ) is an exponential function which has an initial value of 2.
What is an exponential function?Another word for "involving an exponent" in mathematics is exponential. For instance, an exponential rise in a number occurs when you raise it to the tenth power.
A mathematical function with the formula f(x) = aˣ is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently seen. A variable is used as the exponent in exponential functions.
The exponential function that has an initial value of 2 is f(x) = 2ˣ.
f(x) = 2(3ˣ) can be written as f(x) = 2 × 3ˣ, so it starts at 2 × 3⁰ = 2 × 1 = 2.
f(x) = 3(2ˣ) can be written as f(x) = 3 × 2ˣ, so it starts at 3 × 2⁰ = 3 × 1 = 3
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what is the slope of the line
Rodney models the factorization of a trinomial with algebra tiles as shown.
An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled negative. 14 tiles are in the Product spot: 1 is labeled + x squared and below it is a tile labeled negative x. To the right of negative x in 3 columns and 4 rows are 12 tiles labeled negative.
Rodney forgot to place x-tiles in zero pairs in the model of the trinomial. How many zero pairs of x-tiles should he place in the model?
Answer:
c.3 got a 100
Step-by-step explanation:
C
Step-by-step explanation:
Find a value that
makes this inequality
true: 50 - 3x ≤ 20
50-3x<20
the answer is C. 11
John makes 44,000 a year. if he gets a 3% raise how much will he make the next year?
A. $44,200
B. $42,680
C. $57,200
D. $45,320
Answer: D. $45,320
Step-by-step explanation:
Simply multiply 44,000 by 0.003 and add that to 44,000!
Cafe A offers 2 free bottled waters or juices for every 20 purchased. If you purchased 80 drinks at the café, how many free drinks would you get?
Answer:
8 free drinks
Step-by-step explanation:
80 ÷ 20 = 4
4 × 2 = 8
It takes a train of a certain length 15 seconds to pass under a sign, and it takes the same train 40 seconds to pass under a bridge that is 100 meters wide.What is the length (in meters) of the train
After solving, the length of the trains in meters is 60 meters.
In the given question, it takes a train of a certain length 15 seconds to pass under a sign, and it takes the same train 40 seconds to pass under a bridge that is 100 meters wide.
We have to find the length (in meters) of the train.
Let the length of the train is x.
The length of the bridge is 100 meters.
As we know that the formula of the speed is the ratio of distance that he traveled in the certain duration of time.
So Speed = Distance/Time
So according to the question;
(x + 100)/40 = x/15
Now solving the expression using the cross multiplication
15x + 1500 = 40x
Subtract 15x on both side, we get
25x = 1500
Divide by 25 on both side, we get
x = 60 meters
Hence, the length of the trains in meters is 60 meters.
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Select the correct answer. what is the height, x, of the equilateral triangle? an equilateral triangle with the angles labeled as 60 degrees and a side length of 8 inches, the height labeled as x
a. in.
b. in.
c. in.
d. in.
The height of the equilateral triangle when its side length is given as 8 inches is calculated to be 6.93 inches.
The equilateral triangle has all sides and angles equal. The angles are always equal to 60 degrees.
Given that,
Side length of the equilateral triangle = 8 inches
Angles = 60 degrees
Height = ?
Therefore, let us find the height of the triangle using the Pythagoras theorem,
c² = a² + b²
8² - 4² = b²
b² = 64 - 16
b² = 48
b = 6.93 inches
Thus, the height of the equilateral triangle is calculated to be 6.93 inches.
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Water leaking onto a floor forms a circular pool. The circumference of the pool increases at a rate 24 cm/min. How fast is the area of the pool increasing when the radius is 5 cm
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
How quickly does the pool's area grow when the radius is 5 cm?Given:
radius of the pool increases at a rate of 24 cm/min
To Find:
How quickly does the pool's area grow when the radius is 5 cm?
Solution:
we are given with the circular pool
hence the area of the circular pool =
A = πr²-----------------------------(1)
The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t
so differentiating eq (1) with respect to t , we have
dA/dt =π 2r dr/dt
we have to find dA/dt with dr/dt = 24 cm/min and r = 5cm
substituting the values
dA/dt = π 2(5)24
dA/dt = π 26*8
dA/dt = π 240
dA/dt =240π
dA/dt = 753.98
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
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•18 POINTS• (don’t answer icebrain)
a.)
b.)
c.)
Answer: C
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
In this case, 16 is the hypotenuse (the longest side of a right triangle) and 13 is the leg.
Find the measure of ∠c.
Answer:
79
Step-by-step explanation:
3x +16 + 5x - 4 = 180
8x +12 = 180
8x = 180 -12
8x = 168
x=21
3*21+16= 79
Jacob shares 4 sandwiches equally on 3 plates. How many sandwiches will be on each plate?
Answer:
1 1/3
Step-by-step explanation:
HELP ME PLEASE AND QUICK IT'S DUE 12:00PM
c) The height of each cylinder in a set of food-storage containers is 30 cm.
The radius of the largest container is 10 cm.
The volume of the smallest container is one-third the volume of the largest container.
The volume of the middle-sized container is two-thirds the volume of the largest
container. What is the volume of each container?
Answer:
The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3
The volume of the smallest cylinder is 3141.59cm^3
The volume of the medium cylinder is 6282.67 cm^3
Step-by-step explanation:
the equation for a cylinder's volume is pi(r)^2(height)
The volume of the largest cylinder is 3.14(10)^2(30) = 9424.78cm^3 (remember the units!)
The volume of t he smallest cylinder is 1/3 the largest or: 9424.78/3 = 3141.59cm^3 (remember the units!)
The volume of the medium cylinder is 2/3 the largest or 9424.78(2/3) = 6282.67 cm^3
Quadrilateral ABCD is given with ∡A=35°, ∡B=40°, ∡C=(5x+5)°, and ∡D=(5x)°. What is the value of x?
A. x = 6
B. x = 10
C. x = 28
D. x = 7
Answer:
C) x = 28
Step-by-step explanation:
35 + 40 + 5x+5 + 5x = 360
10x + 80 = 360
10x = 280
x = 28
Jane is making lunch for 12 people. she is serving hotdogs and plans on each person get eating two hotdogs. hotdog buns are sold in packages of eight. which expression can be used to find the number of packages she needs to buy?
He must purchase 3 packages of hot dogs and 2 packages of hot dog buns for a total of 24 hot dogs with buns if he doesn't want to have any leftover hot dogs or buns. You should be aware that students might respond with 24, which is the least common multiple of 8 and 12.
What are hot dog buns known as?The hot dog buns most frequently used in the American region of New England and its cuisine are New England-style hot dog buns, also referred to as New England hot dog buns or top-loading hot dog buns.
What does the slang term "hot dogs" mean?As you can see, "hot dog" is a versatile word that can be used as a noun, verb, adjective, or even as an exclamation.
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сm
What is the area of
circle
with circumference of 10cm ? 3
It is 10
I REALLY HOPE THIS HELPS :D
Answer:
7.96 centimeters squared
Step-by-step explanation:
In the photo.
Please Help !! (Geometry related question)
Answer:
i dont know the answer i just need points im sorry
Step-by-step explanation:
Two angles of a quadrilateral measure 210° and 20°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?
Answer:The sum of first angle second angle =150
⇒ The ratio of third and fourth angle is 2:3
⇒ Let third angle fourth angle be 2x and 3x.
Step-by-step explanation:
150 +2x+3x=360
⇒ 5x=210
⇒ x=42
⇒ Now, 2x=2×42
=84
⇒ 3x=3×42
=126
⇒ The measure of two angles are 84
and 126
PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Sum of angles of quadrilateral = 360 degree
so 210+20+6x+7x = 360
230+13x= 360
13x= 360-230=130
x= 130/13=10
so third angle =6x= 6*10=60 degree
and 4th angle= 7x= 7*10=70 degree
PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
i think c < 7
Step-by-step explanation:
let me know if this incorrect
Answer:
c < 7
Step-by-step explanation:
If she plans to buy fewer then 7 the inequality would be c is less than 7.
Picture is how you graph that. Since c is less than 7 you would go left. The circle is open because c is not equal to 7.
Find the volume and round to the nearest hundredths place when necessary.
Answer:
The top looks like a trapezoid and so does the bottom so it's a prism.
lets find the area of the base!
15(base 1) + 7(base2) = 22
22 x 5(height) = 110
110 divided by 2( x 1/2) = 55
Now we multiply by the actual height of the TOTAL prism which is 11.
55 x 11 = 605 cubic feet, is your answer.
Formula for AREA of a trapezoid:
B1(base 1) + B2(base 2) x H(height) x 1/2 (basically just dividing by 2)
JUST SAY THE LETTER IM BEING TIMED HURRRYYYY. MARKING BRAINIEST
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is tautology in math?
A statement which is known as tautology is a type of compound statement in whose result is always the truth value. We don't take in consideration the other individual values in consideration , the result in tautology is always true.
It is one of the most significant part in logical mathematics if we need to find the most accurate answers or findings among a given group of answers.
In mathematics, tautology is used so as to ensure that the results which is obtained are true and exact and not false . A tautology is a compound statement and it will always returns true value. The result in tautology is always true, regardless of what the constituent parts are.
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PLZZ HELP RN ASAP I NEED THIS RN TYSM
Answer:
34
Step-by-step explanation:
a + 90 + 56 = 180
a + 146 = 180
a = 180 - 146
a = 34
Last week, Alex took 90 selfies and Vic took 75 selfies. Today,
they each decided that some of these selfies were not very good
and deleted them. Alex deleted three times as many selfies
as Vic. Now, Alex has half as many selfies as Vic. How many
selfies did Alex delete?
Answer:
Alex deleted 37.5 selfies
Step-by-step explanation:
Let X be the number of selfies that Vic deleted.
Alex deleted 3X selfies.
After deleting selfies, Alex has 90-3X selfies left.
Vic has 75-X selfies left.
Since Alex has half as many selfies as Vic, we can set up the equation: 90-3X = (75-X)/2
Multiplying through the parentheses on the right side, we get: 90-3X = 75-X/2
Combining like terms, we get: 2X = 15
Dividing both sides by 2, we get: X = 7.5
Since X represents the number of selfies that Vic deleted, Vic deleted 7.5 selfies.
Since Alex deleted 3 times as many selfies as Vic, Alex deleted 37.5 = <<37.5=22.5>>22.5 selfies.
The number of selfies deleted by Alex is 51.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that Alex took 90 selfies and Vic took 75 selfies. Today, they each decided that some of these selfies were not very good and deleted them. Alex deleted three times as many selfies as Vic. Now, Alex has half as many selfies as Vic.
Let Vic deleted x selfies and number of selfies deleted by Alex is 3x,
Therefore,
Since, Alex has half as many selfies as Vic, we can set up the equation: 90-3x = (75-x)/2
180 - 6x = 75 - x
5x = 105
x = 17
3x = 51
Hence, the number of selfies deleted by Alex is 51.
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Part of the population of 7,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected?
Answer:
1,705 elk
Step-by-step explanation:
7,750 / 50 = 155 groups of elk
155 groups x 11 per group = 1,705 elk.
find the measurement of angle 7
Answer:
76 degrees
Step-by-step explanation:
find angle 5 by subtracting 76 from 180 to get 104 degrees
the find angle 7 by subtracting 104 from 180 to get 76
180-76 =104
180-104=76
What is the Contrapositive of P → Q?
"If p then q" is a conditional statement, and its contrapositive is If ~q then ~p.
Knowing about the inverse statement makes it simple to comprehend how to build a contrapositive statement. Take the negation of the hypothesis and the conclusion to produce the conditional statement's opposite.
Create the inverted statement first, then swap the hypothesis and conclusion to create the contrapositive of the conditional statement. Adding "not" to both component statements and switching the order of the provided conditional statements will result in contrapositive assertions, in other words.
If a number n is even, then n2 is even, and vice versa, is the contrapositive statement to "If a number n is even, then n2 is even."
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How many solutions does this equation have?
9d − 8 = –8 + 9d
Answer:
Infinite many solutions
Step-by-step explanation:
9d − 8 = –8 + 9d
* add 8 to each side *
-8 + 8 cancels out
-8 + 8 cancels out
we're left with 9d = 9d
When the same number/variable is on each side of the equal sign there is an infinite amount of solutions