The answer is B. Corresponding pairs of sides on ABCD and PQRS are equal in length.
What is congruency?Two figures or objects are said to be congruent in geometry if their shapes and sizes match, or if one is a mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
In order for two polygons to be congruent, all corresponding pairs of sides and angles must be equal in measure, but only option B mentions the sides specifically.
Option A only mentions angles, option C mentions a reflection transformation, and option D mention a translation transformation, but neither of them provides enough information to show that all corresponding pairs of sides are equal.
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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 6 feet and a height of 18 feet. Container B has a diameter of 8 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .
Step by step explanation :
Given -
Two containers ( Container A & Container B ) in shape of cylinders.Diameter of Container A = 6 feetHeight of Container A = 18 feet Diameter of container B = 8 feet Height of Container B = 17 feetTo find -
The percent of container B that is left after pumping the water of Container A full in it.
Solution -
Firstly, we have to find how much water each container can hold i.e. volume of containers .
We know that -
[tex] \boxed{ \mathfrak \purple{volume \: of \:cylinder = \pi {r}^{2} h} }[/tex]where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
For Container A
Given, diameter = 6 feet
.•. Radius = [tex] \frac{6}{2} [/tex]
[tex] = 3 \: \mathfrak{feet}[/tex]
Height = 18 feet
•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]
[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]
[tex] = \frac{3564}{7} [/tex]
[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth . ..
[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]
For Container B
Given, Diameter = 8 feet
.•. Radius = [tex] \frac{8}{2} [/tex]
[tex] = 4 \: \mathfrak{feet}[/tex]
Height = 17 feet
•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]
[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]
[tex] = \frac{5984}{7} [/tex]
[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth. ..
[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]
Now,
Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A
= ( 850 - 510 ) ft^3
= 340 ft^3
Now ,
The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100
[tex] = \frac{340}{850} \times 100[/tex]
[tex] = \boxed{ 40 \: \%}[/tex]Another math question for you guys
Answer: 65 Degrees
Hope this helps :)
If so brainliest would mean alot thanks!
Step-by-step explanation:
35/ 65 degrees
Pretty sure it's 65
Answer: 25 degrees
Step-by-step explanation: Angle ATC equals 90 degrees 90 - 65 = 25
plss help :))))))))))))))))))))))))))))))))))))))))))))))))))0
Step-by-step explanation:
Diameter is 18
So radius will be d/2 which is 9
As the formula of area is
[tex] \pi{\r}^{2} [/tex]
So put the vales
We get s
254
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
could i have super quick help before i'm out of time?
Answer:
Part (a)
Given quadratic: [tex]y=x^2+2x-8[/tex]
Factored form
To factor, find two numbers that multiply to -8 and sum to 2: 4 and -2
Rewrite the middle term of the quadratic as the sum of these number:
[tex]\implies y=x^2+4x-2x-8[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies y=x(x+4)-2(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies y=(x-2)(x+4)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies (x-2)(x+4)=0[/tex]
[tex]\implies (x-2)=0\implies x=2[/tex]
[tex]\implies (x+4)=0\implies x=-4[/tex]
Therefore, the zeros are 2 and -4
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-4+2}{2}=-1[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]y=(-1)^2+2(-1)-8=-9[/tex]
Therefore, the vertex is (1, -9)
------------------------------------------------------------------------------------------------
Part (b)
Given quadratic: [tex]y=-x^2-9x-14[/tex]
Factored form
To factor, first factor out -1:
[tex]y=-(x^2+9x+14)[/tex]
Now find two numbers that multiply to 14 and sum to 9: 7 and 2
Rewrite the middle term of the quadratic as the sum of these number:
[tex]y=-(x^2+2x+7x+14)[/tex]
Factorize the first two terms and the last two terms separately:
[tex]y=-(x(x+2)+7(x+2))[/tex]
Factor out the common term [tex](x+2)[/tex]:
[tex]y=-(x+7)(x+2)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies -(x+7)(x+2)=0[/tex]
[tex]\implies -(x+7)=0 \implies x=-7[/tex]
[tex]\implies (x+2)=0 \implies x=-2[/tex]
Therefore, the zeros are -7 and -2
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-7+(-2)}{2}=-4.5[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]y=-(-4.5)^2-9(-4.5)-14=6.25[/tex]
Therefore, the vertex is (-4.5, 6.25)
Expand and simplify (x - 7)(x + 4)
Answer:
x^2 - 3x - 28
Step-by-step explanation:
(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property
Which = x^2 - 3x - 28
Answer:
[tex]x^{2} -3x-28[/tex]
Step-by-step explanation:
[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]
Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?
y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
m = 5The line passes through the point (0,-4)Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.
On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.
The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.
Answery = 5x - 4
1 Whatis the value ofthe expression y 1/2 +z)+6 ( 2 + when y= 2 and 7 = 3 ? 4
.A) 57/8
.B) 19/2
.C) 17/2
.D) 22/3
30 BRAINLY points plus user!!!
2(1/2+3/4)+6=
17/2 or 8.5
The answer is C
Answer:
Option C
Step-by-step explanation:
Given:
[tex]y = 2[/tex]
[tex]z = \dfrac{3}{4}[/tex]
Substitute the values into the expression:
⇒ y(1/2 + z) + 6
⇒ 2(1/2 + 3/4) + 6
Make common denominators in the parenthesis:
⇒ 2(1/2 + 3/4) + 6
⇒ 2(2/4 + 3/4) + 6
Simplifying the expression:
⇒ 2(5/4) + 6
⇒ 2 × 5/4 + 6
**Keep in mind that multiplication first, then addtion
⇒ 10/4 + 6
Make common denominators:
⇒ 10/4 + 24/4
⇒ 34/4
Simplify the fraction:
⇒ 17/2 (Option C)
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
O 56
O 45
O 52
O 65
Answer:
C. 52Step-by-step explanation:
The angle formed by two secants is half the difference of intercepted arcs.
55 = 1/2(162 - x)162 - x = 55*2x = 162 - 110x = 52Correct choice is C
Let that be y
2(55)=162-x110=162-xx=162-110x=52°Option C
at 8 the temp in the city was -8. at noon the same day the temp was 2. what was the difference in temp between 8 and noon
-8 to 0 = 8
0 to 2 = 2
total change = 8 + 2 = 10 degrees
1. Determine the lateral and total surface area
of the square pyramid.
12 cm
12.8 cm
qom
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 307.2 square cmThe total surface area is 451.2 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 12 cm
Slant height (l) = 12.8 cm
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * 12 * 12.8
Evaluate the product
L = 307.2
How to determine the total surface area?This is calculated using:
T = L + b^2
So, we have:
T = 307.2 + 12^2
Evaluate
T = 451.2
Hence, the total surface area is 451.2 square cm
Read more about areas at:
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The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.
Answer:
[tex]20[/tex].
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
[tex]a + b > c[/tex],
[tex]a + c > b[/tex], and
[tex]b + c > a[/tex].
In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:
[tex]10 + 24 > x[/tex],
[tex]10 + x > 24[/tex], and
[tex]24 + x > 10[/tex].
Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.
Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].
Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].
Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)
There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].
Which set of angle measures could be the interior angles of a triangle?
Answer:
the three angles inside a triangle need to add up to 180 degrees
Step-by-step explanation:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Joseph places a 8-foot tall pole to support the guy wire. After placing the pole, Joseph measures the distance from the stake to the pole to be 8 ft. He then measures the distance from the pole to the tower to be 25 ft. Find the length of the guy wire, to the nearest foot.
Suppose you roll a die 5 times. What is the probability of getting at least one odd number ?
Answer: 1/2 or 50%
Step-by-step explanation:
A dice has 6 numbers; 1,2,3,4,5,6
3 of which are odd numbers
which means:
p(event)= number of favorable outcomes/ number of possible outcomes
p(odd)=3/6
3/6=1/2 or 50%
solve this following equations. 1.x-2/5-x-4/2=2
Answer: hii
There are no values of x
that make the equation true.
Step-by-step explanation:
No solution.
hopefully this helps you.
- Matthew
Find the domain {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
Answer:
domain is just all of the x values while range is all of the y values
so domian is
1,2,3,5,7,8
there are 2 5's but you only put 1
never put two of the same number for range or domain
Step-by-step explanation:
Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:
no solution
one solution
infinitely many solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
(1) ---- 6x - 4y = 9
(2)---- 12x - 8y = 18
If you multiply (1) by 2 → 12x - 8y = 18 --- (3)
and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions
Answer:
Infinitely Many Solutions!!
Step-by-step explanation:
You need to do elimination method!!
This is because we need to top the equation to cancel out and become negative.
6x−4y=9
12x−8y=18
You could do 6x and everything multiplied by -2. But 4y can do the same too!!
I rather do 4y x -2!
-12x+8y=-18
12x−8y=18
Everything cancels out!!
0=0
But 0 equals to 0 goes on forever so the answer is infinite solutions!!
**The reasoning behind the two other choices**
No solution would be like -3=0 which is not our case!!
One solution has something that goes into everything evenly!
a circular logo has a 72 degree sector shaded orange and a 129 degree sector shaded blue. The radius of the logo is 10 inches. What is the total area shaded orange and blue?
I don't know the answer so help
Which of the following statements is a valid polynomial identity?
Statement 1: x3 + 216 = (x − 6)(x2 + 6x + 36)
Statement 2: x3 + 216 = (x + 6)(x2 − 6x + 36)
Group of answer choices
Only statement 1 is valid.
Only statement 2 is valid.
Statement 1 and statement 2 are valid.
Statement 1 and statement 2 are invalid.
Answer:
B. Only statement 2 is valid.Step-by-step explanation:
Using identities
a³ + b³ = (a + b)(a² - ab + b²)a³ - b³ = (a - b)(a² + ab + b²)Applying to the given statements, we can see the second one is valid.
Correct choice is B
Answer:
Only statement 2 is valid
Step-by-step explanation:
Let's see how
[tex]\\ \rm\rightarrowtail x^3+216[/tex]
[tex]\\ \rm\rightarrowtail x^2+6^3[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x^2-6x+36)[/tex]
Hence verified
What is the estimated temperature if the dissolved salt is 98g?
54
61
161
171
Ths solubility curve is used to show the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.
If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.
Learn more about solubility curve: brainly.com/question/9537462
Due NOWW!!! Due right now
Answer: [tex]A=539\pi /16=105.8m^2[/tex]
Step-by-step explanation:
Think of the white circle being on top of a larger shaded circle. You were given the diameter of this larger shaded circle. And, you were also secretly given the diameter of the inner white circle. If you find the area of the white circle, and subtract it from the area of the shaded circle, you will find the area of the shaded region.
Beginning with the area of the shaded circle. The diamater is 21 meters, while the radius is 21/2 meters. Therefore, the area is:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (21/2)^2[/tex]
[tex]A=441\pi /4[/tex]
Moving on to the white circle. The diameter would be 21 meters with 3.5 meters subtracted from it:
[tex]d=21-3.5=17.5=35/2[/tex]
Therefore the radius is:
[tex]r=(35/2)/2=35/4[/tex]
Which means the area would be:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (35/4)^2[/tex]
[tex]A=1225\pi /16[/tex]
Therefore the shaded region is:
[tex]A=441\pi /4-1225\pi /16[/tex]
Get common denominators:
[tex]A=1764\pi /16-1225\pi /16[/tex]
[tex]A=539\pi /16[/tex]
1. Which statement is not true? A. Rational numbers are closed under division. B. Odd numbers are closed under multiplication. C. Prime numbers are closed under subtraction. D. Integers are closed under addition
Answer:
integers are closed under division
Step-by-step explanation:
Integers are not closed under division.Let us consider two integers i and j.
Then need not necessarily be an integer. For example, 2 and 3 are integers but is not an integer. So the first option , namely, integers are closed under division is not true.
On the other hand, the remaining three options given are correct.
a box is filled with 18 unit cubes what is the volume
Answer:
58
Step-by-step explanation:
hope this helps
Answer:
I believe 58
Step-by-step explanation:
MIlo receives a commission of 8% on all sales. If his commission on a sale was $114.80, find the cost of the item sold.
Answer:
if we divide 114.80 by 8 we get 14.35. We do this to get the 1% of the cost.
since we now know that 14.35 is 1% we can multiply 14.35 by 100 and once we do this we get 1435
PLEASE HELP ME please
Answer: 4n-7
Step-by-step explanation:
what is the value of the expression m+(7•9)/n when m = 2.5 and n= 5
A.) 13/5
B.) 13/10
C.) 15/11
D.) 15/17
29 BRAINLY POINTS PLUS USER!!!!
Answer:
13/5
Step-by-step explanation:
Given:
m = 12n = 3/5Substitute the values into the expression:
⇒ 1/2(m ÷ 3) + n
⇒ 1/2(12 ÷ 3) + 3/5
Simplify the expression:
⇒ 1/2(12 ÷ 3) + 3/5
⇒ 1/2(4) + 3/5
⇒ 1/2 x 4 + 3/5
⇒ 2 + 3/5
Make common denominators:
⇒ 2 + 3/5
⇒ (2 x 5/1 x 5) + 3/5
⇒ 10/5 + 3/5
Simplify by adding:
⇒ 13/5
what is 22 percent of 198
Answer:
43.56
Step-by-step explanation:
22 percent of 198 can be found by converting 22 percent into decimal form which is
22% = 0.22
because a 100% = 1
Then we can multiply 0.22 by 198
0.22*198 = 43.56
So the answer is 43.56
Hope this helps! :)
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Answer:
See below ↓↓
Step-by-step explanation:
1. c║d
3. a║b
5. c║d
7. a║b
2. CACP
4. AICP
6. CACP
8. SSIASP
Answer:
a) c ║ d CACP
b) a ║ b AICP
c) c ║ d CACP
d) a ║ b SSIASP
Step-by-step explanation:
CACP - Corresponding Angles Congruent postulate
When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.
AICP - Alternate Angles Congruent postulate
When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .
SSIAS - Same Side Interior Angles Supplementary theorem
When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).
a) c ║ d CACP
The tranversal is line b
b) a ║ b AICP
The tranversal is line d
c) c ║ d CACP
The tranversal is line a
d) a ║ b SSIASP
The tranversal is line c
PLEASE HELP!! WILL GIVE BRANLIEST
How would the following decimal read: 321.222
Answer:
Three hundred twenty-one and two hundred twenty-two thousandths.
Step-by-step explanation:
Take a glance at the image.
Please accept my apologies if it appears to look bad-
