We can conclude that line QT ≅ WU.
What exactly is meant by a triangle's congruency?Two triangles are said to be congruent if their three corresponding sides are equal and their three corresponding angles are equal in size.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.Two triangles are congruent if they satisfy all five congruence conditions.They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).So,
Given: QR ≅ SR ≅ WR ≅ VR
To Prove: QT ≅ WU
Line VRS ⊥ WRQAs ∠UWR and TQR = 90°.So, UW and QT ⊥ WRQTherefore, we can conclude that line QT ≅ WU.
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Given p(x)= −2(x−5) 2 + 4, what is the value of p(4)?
p(4)= 8
because
-2(x-5)2+4
-2(4-5)2+4
-8+10+2+4
2+2+4=8
How do you bisect an angle using compass and straightedge moves
Step-by-step explanation:
Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.Use any radius s to construct arc (A, s) and arc (B, s) that intersect each other at point Z. Note that you must choose a radius s that's long enough for the two arcs to intersect.Draw line KZ and you're done.My dad left to get milk and never came back!! when will he come back?
Answer:
yes he will come back eventually just wait or you can goo look for him
An eigenvalue of a is =2 find a basis for the corresponding eigenspace. what is the dimension of this eigenspace?
Applying induction to the size of the matrix, we can demonstrate that the eigenvalues of Ak are k for every positive integer k if A is a square matrix with eigenvalues. In light of this, A2's eigenvalues are exactly 2. (the squares of the eigenvalues of A).
What is an eigenvalue ?When a linear transformation is applied to a nonzero vector in linear algebra, the vector's eigenvector, also known as its characteristic vector, changes by a maximum scalar amount. The eigenvector is scaled by the associated eigenvalue, which is frequently represented by the symbol λ.
It is conceivable for a matrix to contain an eigenvalue of zero.
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Write the specified type of proof.
flow proof
Given: K || LM, JL || KM
Prove: ΔJ M L≅ ΔM J K
We can state that ΔJML ≅ ΔMJK under SSS condition.
What specifically do we mean by a triangle's congruency?Two triangles are said to be congruent if their three corresponding sides are equal and their three corresponding angles are equal in size.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.Two triangles are congruent if they satisfy all five congruence conditions.They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).
So,
Given: KJ || LM, JL || KM
To Prove: ΔJML ≅ ΔMJK
KJ = ML = (Given: equal)JL = KM = (Given: equal)JM = JM = (Common)So, ΔJML ≅ ΔMJK under SSS condition.
Therefore, ΔJML ≅ ΔMJK.
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If PL=10 and PK=8, find the length KN.
Answer:
4.5
Step-by-step explanation:
To answer the problem:
PK * PN = PL^2
Let PN = x
8x = 10^2
8x = 100
x = 100/8
x = 12.5
KN = PN - PK
12.5 - 8 = 4.5 would be the length of segment KN.
1 ton makes 90 cars
there are 280 million cars needed
1 ton = 500,000 gallons of water
figure out how much water is needed for 280 million cars.
What I have so far
500,000*280 million= 1.4*[tex]10^{14}[/tex]
Do i divide by 90 and am i even doing this correct?
The number of gallons required for 280 million cars is 1,555,556 gallons.
Given that, 1 ton makes 90 cars, there are 280 million cars needed
and 1 ton = 500,000 gallons of water.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. The proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let the number of gallons of water needed for 280 million cars be x.
Now, 90 : 500,000 :: 280 : x
⇒ 90x=500,000 × 280
⇒ x = 14,00,00,000/90
⇒ x = 1,555,555.555≈1,555,556 gallons
Therefore, the number of gallons required for 280 million cars is 1,555,556 gallons.
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Elsie bought 3.00 pounds of pecans for $9.60. Her friend buys 4.50 pounds of walnuts for $15.75. Which is more expensive per pound? By how much?
Suppose you have an outdoor pool measuring 25 ft by 10ft . You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft³ of cement, how wide should the walkway be?
The area covered by the pool and the cement walkway is 304 square feet. The width of the walkway would be 5 feet
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be represent the width of the walkway.
The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway = 25+ x + x = 25 + 2x
The total width of the pool and the walkway = 10 + x + x = 10 + 2x
The area covered by the pool and the cement walkway is 304 square feet. This means that;
(25 + 2x)(10 + 2x) = 304
250 + 50x + 20x + 4x^2 = 304
4x^2 + 70x + 250 - 304 = 0
4x^2 + 70x - 54 = 0
x(x + 20) - 5(x + 20) = 0
(x - 5)(x + 20) = 0
x = 5 or x = - 20
Thus The width cannot be negative.
Therefore, the width of the walkway is 5 feet.
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Solve each system by elimination.
3u+3v = 15 , -2u+3v = -5
By elimination, the solution of the system of equations, 3u + 3v = 15 and -2u + 3v = -5, is (u , v) = (4 , 1).
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in u and v, a variable should be eliminated by adding/subtracting the two equations.
Subtracting the two equations will eliminate the variable v.
3u + 3v = 15 (equation 1)
-2u + 3v = -5 (equation 2)
5u = 20
u = 4
Substitute the value of u to any of the two equations and solve for v.
3u + 3v = 15 (equation 1)
3(4) + 3v = 15
3v = 15 -12
3v = 3
v = 1
Hence, the solution of the system of equations is (u , v) = (4 , 1).
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i feel like i should know this but i’m confused soo
Answer:
5
Step-by-step explanation:
Vertical Angle Theorem
30=6x
5=x
Answer:
x=5
Step-by-step explanation:
Hello! No worries, Geometry is very confusing.
There are several proofs and theorems to use when trying to prove an angle size. In this picture, we see two lines intersecting, forming an intersection point with two similar looking angles.
With the Vertical Angles Theorem, it explains that when two lines intersect such as shown here, the angle on the vertical side of the original angle are both equal to the same number and is identical. Similarly, using this theorem we know that the unnamed angles (the big ones) are identical too, as they are vertical sides of each other.
Now we know the angle 6x and 30 degrees are equal to each other. So how do we solve x?
We can solve for x by making it equal to each other, signaling that you understand the Vertical Angle Theorem and stating that those two angles are equal to each other.
6x=30 Divide by 6 both sides to isolate the x varianle
x=5
Therefore, x is equal to 5.
Phoebe is reading a novel for her monthly book club. the novel is 368 pages long. so far, she has read 53 pages. phoebe plans to read 35 pages a day. write an equation that represented, the number of days it will take phoebe to finish the novel
The equation that represent the number of days it will take phoebe to finish the novel is: x= number of pages left to be read / pages to be read per day
Information about the problem:
novel’s pages = 368read pages = 53pages to be read per day = 35 pages/daynumber of days it will take phoebe to finish the novel = x ?To solve this problem, we have to write the equation in order to calculate (x) the number of days it will take phoebe to finish the novel with the given information:
number of pages left to be read = novel’s pages - read pages
number of pages left to be read = 368 – 53
number of pages left to be read = 315 pages
Knowing the number of pages left to be read we can write the following equation:
x = number of pages left to be read / pages to be read per day
x = 315 pages /35 pages/day
x = 9 days
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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The length of the rectangle is three times its width. If the perimeter of the rectangle is one hundred and sixty meters, find the length and width of the rectangle. Enter two integers
Answer:
Please give brainliest if it applies!
w = 20m
l = 60m
Step-by-step explanation:
P = 2l + 2w
We know the perimeter = 160 and we know that l = 3w, so write what we know and solve for w.
P = 2l x 2w
160 = 2(3w) + 2w
160 = 6w + 2w
160 = 8w
Divide both sides by 8
20 = w
Now we can figure out the length, which is 3(w) or 3 x 20 = 60
Find the nth term rule for the arithmetic sequence with
a7 = -17 and a25=-71
Answer:
an = -3n + 4
Step-by-step explanation:
Blake is setting up his tent at a renaissance fair. If the tent is 8 feet tall, and the tether can be staked no more than two feet from the tent, how long should the tether be?
The tether should be 8.5 feet long.
In this question,
Blake is setting up his tent at a renaissance fair.
The tent is 8 feet tall, and the tether can be staked no more than two feet from the tent.
The stake, height and tether length of the tent form a right angle triangle where the tether length is the hypotenuse.
Applying Pythagoras theorem:
length² = height² + (stake distance)²
length = √(8² + 2²)
length = 8.5 feet
Therefore, the tether should be 8.5 feet long
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how to Share $490 in the ratio of 4:3.
two parts are $280 and $210 when divided $490 in the ratio of 4:3.
WHAT IS RATIO?In mathematics, a ratio illustrates how many times one number is present in another. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons. Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.
CALCULATIONdividing $ 490 in the ratio 4:3
490 * (4/(4+3)) = 280 _______________(1)
490 *(3/(4+3)) = 210________________(2)
so the two parts are $280 and $210
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Solve each equation. Check your answers. 0.2(x+8)-3.4=2.4
The solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21
In this question, we have been given an equation 0.2(x+8)-3.4=2.4
We need to solve given equation.
0.2(x + 8) - 3.4 = 2.4
0.2x + 1.6 - 3.4 = 2.4
0.2x - 1.8 = 2.4
0.2x = 2.4 + 1.8
0.2x = 4.2
x = 21
We need to check above solution.
Substitute x = 21 in LHS of given equation.
LHS
= 0.2(21 + 8) - 3.4
= 0.2(29) - 3.4
= 5.8 - 3.4
= 2.4
= RHS
Therefore, the solution to given equation 0.2(x + 8) - 3.4 = 2.4 is x = 21
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I need this answered please
What is the probability of rolling a number less than 3? express your answer as a simplified fraction or a decimal rounded to four decimal places.
The probability of rolling a number less than or equal to 3 is 0.5.
What is the probability of rolling a number?The likelihood of getting any side of the dice is 1/6 because there are six possible results. Rolling a 1 has a 1/6 chance of happening, a 2 has a 1/6 chance, and so on.The sum of the three probabilities equals 1/36, or the likelihood that all three will occur.A dice has only 6 sides, and only 1 of those sides is 6, meaning there are 16 chances to roll a 6.63 + 216 = total number of outcomes. When a die is rolled, there is a 1/6 chance of rolling a 4.What is the probability of rolling a number less than 3?
Event: The collection or the set of outcomes in an experiment is called as an event.
Outcomes: The possible results of a trail in an experiment are called as outcome.
Probability:
The ratio of the number of favorable outcomes to certain event and the total number of possible outcomes is called as the probability of an event.
The probability of rolling a number less than or equal to 3 is obtained by taking the ratio of the number of favorable outcomes by the total number of outcomes. It is expected about 50% of times that rolling a number less than or equal to 3.
The probability of rolling a number less than or equal to 3 is 0.5.
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Consider the expression (x+7), do the following.
(a) Use the distributive property twice to show that
this expression is equivalent to x² +14x+49.
(b) Test the equivalency by finding the value
(x+7) and x² +14x+49 when x= 3.
(x+7)²
x² +14x+49
which value of x makes lines r and s parellel
Answer:
75
Step-by-step explanation:
If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel
x + 25 + 80 = 180
x = 180 - 80 - 25
x = 75
a. If T U=14 feet, what is the radius of ®Q ?
If TU = 14 feet, then the radius of the circle is 7 feet.
What is meant by radius?
The radius of a circle is the distance between the circle's center and any point on its circumference. It is usually represented by the letters 'R' or 'r'.
A radius of a circle or sphere is any of the line segments from its center to its perimeter in classical geometry, and in more modern usage, it is also their length.
Simply dividing the circle's diameter in half yields the radius formula. If we connect the points on the circle's circumference to the exact center.
Let the radius of the circle be TU = 14 feet
Radius of the circle = c/2
Where, c = 14 then substitute the value in the above equation, then
r = 14/2
r = 7 feet
Therefore, the radius of the circle is 7 feet.
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A delicatessen delivers a gigantic sandwich for the members of a jury who have been unable to
reach a verdict. The sandwich of bread, meat and cheese costs 50, 60 per pound for the bread, $3 per
pound for the meat, and $1.50 per pound for the cheese. A pound of bread supplies 10g of prote
pound of meat supplies 50g of protein, and a pound of cheese supplies 40g of protein. If each member
of the jury eats a pound of sandwich, receives 30g of protein, and pays $1.50 ($18 total), how much
each ingredient went into the sandwich?
21790 hello brodi you ok
how to i solve 2/15
Answer:
2/15 = 2/
15
≅ 0.1333333
Step-by-step explanation:
Rules for expressions with fractions:
Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.
Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Answer:
for a decimal its 0.13 for a percent its 13.33%
Step-by-step explanation:
For this equation you have to solve for y.
6x-3y=9
The problems due tommorow. Pls help :,(
In this diagram, which equation could you prove to be true in order to conclude that the lines are parallel?
Responses
c−a/b=−d/e
c−a/b*d/e=−1
c−a/b*−d/e=−1
c−a/b=d/e
The equation that could be used to prove the lines are parallel is: D. (c - a)/b = d/e
What are Parallel Lines?Parallel lines are lines that do not converge at any point and have the same slope.
Slope (m) = change in y / change in x
Slope of the first line = (c - a)/0 - b
Slope of the first line = (c - a)/b
Slope of the second line = (0 - (-d))/(e - 0)
Slope of the second line = d/e
Thus, if both line are parallel, then (c - a)/b = d/e. This is because parallel lines have the same slope.
The equation is: D. (c - a)/b = d/e
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Two similar cylinders have heights of 35 meters and 25 meters. What is the ratio of the volume of the large cylinder to the volume of the small cylinder?
The ratio of the volumes of two similar cylinders with heights of 35 meters and 25 meters, respectively, is 2.744.
Solids of the same type that have proportional corresponding linear
measures are similar solids. In the case of similar cylinders:
height of A/ height of B = radius of A/radius of B
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
volume of A/ volume of B = (height of A/ height of B)^3 = (radius of A/radius of B)^3
If two similar cylinders have heights of 35 meters and 25 meters, then the ratio of the volume of the large cylinder to the volume of the small cylinder is:
height of larger cylinder / height of smaller cylinder = 35 meters / 25 meters = 7/5
volume of larger cylinder/ volume of smaller cylinder = (height of larger cylinder / height of smaller cylinder)^3 = (7/5)^3 = 2.744
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Factor by grouping (sometimes called the ac-method).
10x²-3x-4
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
O
O
10x + 0x + 0*-4
2
10x +
0*- 0*-4
2
10x
10x²
O 10x
x +
- 0*- 0x-4
Factorization:
0
X
The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x - 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A polynomial is an expression involving addition, subtraction and multiplication of variables. A quadratic equation is a polynomial of degree two.
Given the polynomial:
10x² - 3x - 4
= 10x² - 8x + 5x - 4
= 2x(5x - 4) + 1(5x - 4)
= (2x + 1)(5x - 4)
The factorization of the polynomial 10x² - 3x - 4 by grouping is (2x + 1)(5x - 4)
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solve for u and simplify your answer. using reciprocals
-23 = -3/2 u
U = 3/46 is reciprocal of the solution of equation .
What is reciprocal in math?
The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal. Therefore, we must change the number to its upside-down form. For instance, 1 divided by 9 is the reciprocal of 9, or 1/9.Making up or coming from paired crosses where the sort that provides the female parent for the first cross also provides the male parent for the second cross, and vice versa.-23 = -3/2 u
-1/23 = -2/3u
cross multiply
-3 = -46 u
u = -3/-46
u = 3/46
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simplify 11 root square 8
11) √8
Answer: 2.82842712 or 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
