Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
Answers
But given your multiple choice...
1) Shape 1 and 2 isn't congruent so false.
2) Shape 1 and 2 don't share the same coordinates because of a prior translation so false.
3) Shape 1 and 2 isn't congruent so false.
4) Shape 1 could be translated onto shape 2, but it still would not be congruent, so true.
Therefore the 4th one is true.
Related Questions
for f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)
Answers
The value of the function f(x)= 1/x²-3 when x is 3, denoted as f(3), is -8/9.
Explanation:To solve for f(3) in the function "f(x)= 1/x²-3", you should substitute x = 3 into the function. By doing so, we have:
f(3) = 1/(3²) - 3 = 1/9 - 3 = -8/9
Therefore, f(3) for this function is -8/9.
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if a sprinkler waters 1/18 of a lawn in 1/3 hour, how much time will it take to water the entire lawn
Answers
3/3 would be 1 hour
3/18 of the lawn would be done in 1 hour
18/3=6
6*1 = 6
it would take 6 hours to do the whole lawn
It will take 360 minutes to water the entire lawn
What is cross multiplication?Cross multiply can be defined as the process of multiplying the numerator of the first fraction on one side of the equals to symbol, with the denominator of the second fraction on the other side of the equals to symbol.
1/18 lawn is watered in 1/3 of hour = 20 min
Whole lawn will be watered in 20 × 18 = 360 min
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B is between a and c ac=15.8 and ab=9.9. find bc
Answers
Answer:
The value of bc is 5.9 units.
Step-by-step explanation:
Given information: b is between a and c, ac=15.8 and ab=9.9.
We need to find the measure of bc.
Since b is between a and c, therefore the segment ac is the sum of two segments ab and bc.
[tex]ac=ab+bc[/tex]
Substitute ac=15.8 and ab=9.9 in the above equation.
[tex]15.8=9.9+bc[/tex]
Subtract 9.9 from both sides.
[tex]15.8-9.9=9.9+bc-9.9[/tex]
[tex]5.9=bc[/tex]
Therefore the value of bc is 5.9 units.
If assumption of Collinearity is not for granted, then the length of Segment BC is defined by [tex]BC = \sqrt{347.65 -312.84\cdot \cos \beta}[/tex], for [tex]\beta \in [0^{\circ}, 180^{\circ}][/tex].
Reminder - Given that statement seems to be incomplete, we assume that we are talking about Line Segments and that Segments AC and BC may be Collinear.
By Geometry and, being more specific, by definition of Triangles, if we assume that all segment are not necessarily Collinear, then a Triangle may exist and can be modelled by the Law of Cosine:
[tex]BC = \sqrt{AC^{2}+AB^{2}-2\cdot AC\cdot AB\cdot \cos \beta}[/tex] (2)
Where [tex]\beta[/tex] is the angle at point B, in sexagesimal degrees and is between 0° and 180°.
If we know that [tex]AC = 15.8[/tex] and [tex]AB = 9.9[/tex], then the expression for the length of BC is:
[tex]BC = \sqrt{347.65 -312.84\cdot \cos \beta}[/tex]
If assumption of Collinearity is not for granted, then the length of Segment BC is defined by [tex]BC = \sqrt{347.65 -312.84\cdot \cos \beta}[/tex], for [tex]\beta \in [0^{\circ}, 180^{\circ}][/tex].
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On her first stroke, Maria hit a golf ball 140 yards, 2 feet, 9 inch. On her second she hit it 170 yards, 1 foot, 6 inches. How far did the ball go all together
Answers
2 feet 9 inches + 1 foot 6 inches = 3 feet 15 inches
15 inches = 1 foot 3 inches
3 feet + 1 foot = 4 feet
2 ft 9 inches + 1 ft 6 inches = 4 ft 3 inches
1 yard = 3 feet
4feet 3 inches = 1 yard, 1 foot 3 inches
140+170 = 310 yards
310 + 1 = 311
so it traveled 311 yards 1 foot and 3 inches
Answer:
311 yards and 1 feet and 3 inches
Step-by-step explanation:
The center of a circle is A (-3,3), and B (1,6) is on the circle. Find the area of the circle in terms of pi.
Answers
[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ 3}})\quad % (c,d) &({{ 1}}\quad ,&{{ 6}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ r=\sqrt{[1-(-3)]^2+[6-3]^2}\implies r=\sqrt{(1+3)^2+(6-3)^2} \\\\\\ r=\sqrt{4^2+3^2}\implies r=\sqrt{25}\implies \boxed{r=5}\\\\ -------------------------------\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad r=5\implies \boxed{A=25\pi }[/tex]
Is a triangle with sides of length 7 ft, 24 ft, and 25 ft a right triangle? Explain.
Answers
7^2 + 24^2 = 49+576 = 625
625 = 625
ANswer
Yes. It's right triangle
the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse....It's right triangle angle
What is 10 1/2 divided 2 1/4
Answers
(21/2) / (9/4) -- when dividing with fractions, flip what u r dividing by, then multiply
21/2 * 4/9 =
42/9 =
4 2/3 <===
how many foci does the graph of a hyperbola have
Answers
Answer:
A graph of a hyperbola have 2 foci.
Step-by-step explanation:
Foci of a Hyperbola-
The foci of a hyperbola are two fixed points located inside each curve of a hyperbola.
The foci is a plural of the word focus i.e. two focus of a hyperbola are combinely called foci.
Hence, a graph of a hyperbola have 2 foci.
people who are physically active should increase the daily amount of water they drink to 2/3 ounces per pound of body weight. how much should a 245 pound football player drink per day?
A 1,470 ounces of water
B 163 ounces of water
C 163 1/3 ounces of water
D no water, football players only drink gatorade
Answers
245*2/3=
245*2 =490/3 =163.33 = 163 1/3 ounces
Which of the binomials below is a factor of this trinomial?
x² + 2x - 48
A. x + 8
B. x - 3
C. x - 8
D. x + 3
Answers
The complete factor of x² + 2x - 48 is (x-6)(x+8)
So, the correct option is A (x + 8)
I hope that helps!
Marion is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 18 km/h. After four hours, the velocity of the cyclist is 4 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points) Part B: How can you graph the equations obtained in Part A for the first 8 hours? (5 points)
Answers
v(t) = a + bt
where
v = velocity (km/h) at time t (hours),
a and b are constants.
When t = 2 hours, v = 18 km/h, therefore
a + 2b = 18 (1)
When t = 4 hours, v = 4 km/h, therefore
a + 4b = 4 (2)
Subtract (1) from (2) to obtain
a + 4b - (a + 2b) = 4 - 18
2b = -14
b = -7
From (1), obtain
a = 18 - 2b = 18 - 2*(-7) = 32
Part A.
The equation is
v = 32 - 7t
Part B
To graph the equation for the first 8 hours, create a table as shown below.
t, hours: 0 1 2 3 4 5 6 7 8
v, km/h: 32 25 18 11 4 -3 -10 -17 -24
We can see from the table that the velocity becomes negative between t=4 and t=5. Therefore, we shall change all negative velocities to zero, and assume that the cyclist comes to rest.
TNote that when the velocity is zero,
32 - 7t = 0
7t = 32
t = 4.57
The new table becomes
t: 0 1 2 3 4 4.57 5 6 7 8
v: 32 25 18 11 4 0 0 0 0 0
The graph is shown below.
Given the arithmetic sequence an = −1 + 7(n − 1), what is the domain for n?
All integers
All integers where n ≥ 0
All integers where n ≥ 1
All integers where n > 1
Answers
The domain for n in the arithmetic sequence is all integers where n ≥ 1.
Explanation:The domain for n in the arithmetic sequence is all integers where n ≥ 1. In this sequence, the value of n represents the position of the term in the sequence. Since the first term of the sequence is represented by n=1, n can't be less than 1 because there is no zeroth term in the sequence. Therefore, the domain for n is all integers where n ≥ 1.
whats the answer to >> 3/10 + 2/11 and find the sum
Answers
33/110 + 20/110 =
53/110 <==
the ratio of boys to girls are 8 to 7. if there was a total of 195 students, how many boys and girls are there?
Answers
8+7= 15
Boys: 195/15= 13(8)=104
Girls: 195/15= 13(7)= 91
There are 104 boys and 91 girls. Hope this helps!
Find the volume of the cylinder shown. Use 3.14 for pi. Round your answer to the nearest hundredth.
Answers
Answer: Volume of cylinder is 1846.32 cubic yd.
Step-by-step explanation:
Since we have given that
Height of a cylinder = 12 yard
Radius of a cylinder = 7 yard
As we know the formula of "Volume of cylinder":
[tex]Volume=\pi r^2h\\\\Volume=3.14\times 7\times 7\times 12\\\\Volume=1846.32\ yd^3[/tex]
Hence, Volume of cylinder is 1846.32 cubic yd.
Answer:
1846.32 cubic yards
Step-by-step explanation:
Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15?
Answers
Solution: The average rate of change of [tex]\frac{-14}{3}[/tex] represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
Explanation:
The rate of change shows the change in first variable with respect to change in second variable.
If the rate of chang is given by [tex]\frac{-14}{3}[/tex] it means second variable is decrease by 14 if the first variable increase by 3.
In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.
If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.
Let the vertical height of the slide covered from x = 0 to x =15 be y.
It means when distance increased by 15 units the height of slide decreased by y units.
So rate of change = [tex]\frac{-y}{15}[/tex].
It is given that the rate of change is [tex]\frac{-14}{3}[/tex].
Equate both equations.
[tex]\frac{-y}{15}=\frac{-14}{3}[/tex]
[tex]y=15(\frac{14}{3} )[/tex]
[tex]y=5(14)[/tex]
[tex]y=70[/tex]
Therefore, the average rate of change of [tex]\frac{-14}{3}[/tex] represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
What this mean in terms of the waterslide, from x = 0 to x = 15 is:
The vertical height of slide is decreased at the rate of 4.66 per unit.The vertical height of the slide decreased by 70 units from x= 0 to x=15What is Rate of Change?This refers to how fast or slow a thing is required before it changes form from one form to another.
With this in mind, we can see that with the water slide, there exists the decrease of the vertical height by 14 units over a distance of 3 units.
Therefore, the rate of change is -y/15
Read more about rate of change here:
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In addition to the trigonometric ratios, what other methods can be used to solve a right triangle? Give situations for when you might want to use them
Answers
We shall discuss two methods for solving the right triangle.
Method 1. Use of trigonometric ratios
To use trigonometric ratios requires that either m∠A or m∠B is known and that one of the sides a, b, or c is known.
Example:
Assume that m∠A is known, then m∠B = 90° - m∠A.
Also, assume that b is known.
By definition,
tan A = a/b => a = b*tan A
cos A = b/c => c = b/cos A, or
sin A = a/c => c = a/sin A
Method 2. Algebraic method
When neither m∠A nor m∠B is known, then it is necessary to know the values of two sides: (a and b), (a and c), or (b and c).
The Pythagorean theorem states that
a² + b² = c²
(a) If a and b are known, then
c = √(a² + b²)
(b) If a and c are known, then
b = √(c² - a² )
(c) If b and c are known, then
a = √(c² - b²)
Once all sides are known, trigonometric ratios can be used t determine m∠A and m∠B.
Example:
Because a and c are known,
sin A = a/c
A = sin⁻¹ (a/c), which can be determined from the calculator.
If we multiply every observation in a data set by 2, the mean will
Answers
the quadratic equation whose roots are the am and hm between the roots of the equation 2x2 - 3x+5=0
Answers
The first thing to do is to find the roots.
The sum of the roots, x1 + x2 = -b / a
x1 + x2 = 3 / 2
The product of the roots, x1 * x2 = c / a
x1 * x2 = 5 / 2
The AM means arithmetic mean and is calculated using the formula:
AM = (x1 + x2) / 2
AM = (3 / 2) / 2
AM = 3 / 4 = y1
The HM means harmonic mean and is calculated using the formula:
2 / HM = 1 / x1 + 1 / x2
or
2 / HM = (x1 + x2) / x1 * x2
Rewriting in terms of HM alone on the left side:
HM = 2 x1*x2 / (x1 + x2)
HM = 2 (5 / 2) / (3 / 2)
HM = 10 / 3 = y2
Creating an equation from y1 and y2:
(y – ¾) (y – 10/3) = 0
y^2 – 10/3 y – ¾ y + 30/12 = 0
y^2 - 49/12 y + 30/12 = 0 (ANSWER)
or
y^2 – 4.083y + 2.5 = 0
PLEASE HELP!!! 9. Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work.
|4x + 3| = 9 + 2x
x = _____ or _____
Answers
[tex]4x+3=9+2x[/tex] and
[tex]4x+3=-(9+2x)[/tex]
The second one simplifies to
[tex]4x+3=-9-2x[/tex]
Now solve each for x:
[tex]4x+3=9+2x[/tex]
[tex]2x=6[/tex] and x=3
The second one:
[tex]4x+3=-9-2x[/tex]
[tex]6x=-12[/tex] and x=-2
If you check both of these solutions, they both work; neither are extraneous.
Describe how to determine if two polygons have the same size and shape.
Answers
Answer:
Prove that their corresponsing sides are all congruentsStep-by-step explanation:
Remember that if two figures have corresponding angles congruent, but proportional sides, then those figures are similar.
However, if those figures have corresponding angles and sides congruent, then they are congruent.
Therefore, to determine if two polygons are congruent, that is, in size and shape, we need to prove that their corresponsing sides are all congruents, that way, we'll be able to demonstrate their absolute congruence.
Scientists studied two animal populations. Function f(x) = 830(0.8)^x models a bear population in a given region x years after the study began. The table models the cougar population in the same region.
Year after study began: 0, 1, 2, 6, 15
Cougar population: 790, 735, 683, 511, 266
In the year the study began, how many more bears than cougars were in the given region.
Answers
830-790=40
Answer:
There were 40 more bears than cougars when the study started.Step-by-step explanation:
Givens:
[tex]f(x)=830(0.8)^{x}[/tex]; where [tex]x[/tex] refers to years after the study began, about bear population.Table given is for cougar population.So, the problem is asking how many more bears than cougars were in the given region. From the table, we know that there where 790 cougar when the study started.
Now, we have to calculate the initial condition of the function, because it's modelling bear population. Initial condition means when the study started, which is when [tex]x=0[/tex].
So, we have:
[tex]f(0)=830(0.8)^{0}=830(1)=830[/tex]
So, there were 830 bears when the study started.
If we compare, we find that there were 40 more bears than cougars when the study started, because 830-790 = 40.
Which number is irrational, an integer, and a real number?
A)there are no such numbers
B) 0
C) sq root of 4
D) -4/2
Answers
Integers are rational numbers, so there can't be a number that is irrational and integer at the same time.
Answer:
Option A is the correct answer.
Step-by-step explanation:
An Irrational Number is a real number that cannot be written as a simple fraction. All the integers can be written as a simple fraction. So an integer is not an Irrational Number. So there is no number is irrational, an integer, and a real number.
Option A is the correct answer.
Jared bought eighteen doughnuts to share with his coworkers. If each doughnut cost c cents, which expression represents his total cost?
18 + c
18 - c 1
8 ÷ c
18 c
Answers
Answer:
i think answer 1
Step-by-step explanation:
tell me i i am wrong
1. What is the length of the 2nd base of a trapezoid if the length of one base is 24 and the length of the midsegment is 19? Show your work.
2. What is the sum of the measures of the exterior angles in a heptagon? Explain.
3. Find the measure of each interior angle and each exterior angles of the following regular polygons. Show your work.
a. Decagon
b. Pentagon
c. Dodecagon
d. 16-gon
e. 25-gon
Answers
let
"a" be the number of angles (or sides)
"t" be the number of triangular regions, that the diagonals drawn from one angle divide the regular polygon into.
it is clear that for a polygon of n-sides, there are n-2 triangular regions, each of which has a total measure of angles equal to 180°.
so the sum of the interior angles of a n-gon is (n-2)180°.
In a regular polygon, the measure of each interior angle is equal, so:
the measure of each interior angle of a regular n-gon is: [tex] \frac{(n-2)180}{n} [/tex]
apply the formula to each angle.
a. n=10, [tex]\frac{(n-2)180}{n}=\frac{(10-2)180}{10}[/tex]=(8*180)/10=144
b. n=5, [tex]\frac{(n-2)180}{n}=\frac{(5-2)180}{5}[/tex]=(3*180)/5=108
c. n=12, [tex]\frac{(n-2)180}{n}=\frac{(12-2)180}{12}[/tex]=(10*180)/12=150
d. n=16, [tex]\frac{(n-2)180}{n}=\frac{(16-2)180}{16}[/tex]=(14*180)/16=157.5
e. n=25, [tex]\frac{(n-2)180}{n}=\frac{(25-2)180}{25}[/tex]=(23*180)/25=165.5
2.
the sum of the interior angles of a heptagon is (7-2)180°=5*180°=900°
let the measures of the interior angles be a,b,c,d,e,f and g.
so a+b+c+d+e+f+g=900°
the exterior angle measures are 180-a, 180-b, 180-c, 180-d, 180-e, 180-f, 180-g,
so the sum of the measure angles of the exterior angles is
(180°-a)+(180°-b) +(180°-c)+(180°-d)+(180°-e)+(180°-f)+(180°-g)
= 180°*7-(a+b+c+d+e+f+g)=1260°-900°=360°.
In fact, the sum of the measures of the exterior angles of any polygon is 360°.
1. Let the length of the second base be x
then
[tex] \frac{x+24}{2}=19 [/tex]
x+24=38
x=38-24=14 units
Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long. The height is 6 inches longer than twice the base length. What is the height of the pennant? Recall the formula A = 1/2bh.
A.) 12 inches
B.) 15 inches
C.) 30 inches
D.) 36 inches
Answers
A = 180
b = z
h = 2z + 6
180 = 1/2 * z * 2z + 6
180 = (2z^2 + 6z)/ 2
180 = z^2 + 3z)
z^2 + 3z - 180 = 0
(z - 12)(z + 15) = 0
z - 12 = 0
z = 12
z + 15 = 0
z = -15....not this one because it is negative
h = 2z + 6
h = 2(12) + 6
h = 24 + 6
h = 30 inches <====
In which the area = 180 square inches.
You can therefore make this formula:
180 = [2(2z+6)+6](2z+6) / 2
Now solve for z.
360 = [2(2z+6)+6](2z+6)
360 = (4z+12+6)(2z+6)
360 = (4z+18)(2z+6)
360 = 8z^2 + 24z + 36z + 108
360 = 8z^2 + 60z + 108
0 = 8z^2 + 60z - 252
Now we will use quadratic formula to get z = 3, -21/2
Substitute in now
2(2z+6) + 6
2(2(3)+6) + 6
2(6+6) + 6
2(12) + 6
24 + 6
30
or... (false)
2[2(-10.5)+6]+6
2(-21+6)+6
2(-15) + 6
-30 + 6
-24
Therefore, the height is 30 inches. I made some work errors but it is still true because of the property ab = ba
If 9a+5b+5c=9 what is -10c-18a-10b?
Answers
Multiplying the whole equation by -2.
-18a - 10b - 10c = -18.
Hence, the answer is -18.
Given the following geometric sequence, find the common ratio. {0.1,-0.9,8.1,...}
Answers
-0.9/0.1=8.1/-0.9=-9
The common ration is negative 9.
Answer:
Common ratio, r = -9
Step-by-step explanation:
If we have geometric progression, the common ratio is the ratio of (n+1)th term and nth term.
Here geometric progression is
0.1,-0.9,8.1,.................
Common ratio
[tex]r=\frac{-0.9}{0.1}=-9\\\\r=\frac{8.1}{-0.9}=-9[/tex]
Common ratio, r = -9
The next three terms of the sequence 20, 40, 80, 160,… are 320, 640, and 1280.
Answers
Its a geometric sequence with common ratio 2.
Which best explains if quadrilateral WXYZ can be a parallelogram?
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answers
"WXYZ can be a parallelogram with one pair of sides measuring 15mm and the other pair measuring 9mm"
To find this, you first have to solve for x. Assuming WXYZ is a parallelogram, then the side (x + 8) must equal 15, which means we can subtract 8 and get x as 7.
Now we substitute 7 into the other side's, (7 + 2) = 9mm, and (7 × 2) - 5 = 14 - 5 = 9mm.
I hope this helps!
If quadrilateral WXYZ is a parallelogram, the opposite sides will be equal, in length from which the value of x will satisfy the two equations.
Response:
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.How can the option that best indicates if WXYZ can be a parallelogram be obtained?Properties of a parallelogram
The length of the opposite sides of a parallelogram are equal, which gives;
2·x - 5 = x + 2
2·x - x = 2 + 5
x = 7Similarly, we have;
x + 8 = 15
x = 15 - 8 = 7
The lengths of the opposite sides are therefore;
2·x - 5 = 2 × 7 - 5 = 9 and x + 8 = 15
The option that indicates if WXYZ is a parallelogram is therefore;
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.Learn more about parallelograms here;
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