Answers
The congruency can be proved using SAS rule.
What are congruent triangles?
Congruence of triangles: 2 triangles square {measure} aforesaid to be congruent if all 3 corresponding sides square measure equal and every one the 3 corresponding angles square measure equal in measure. These triangles is slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The image of harmoniousness is’ ≅’.
Main Body:
In ΔPQR and ΔRST
PR = RT ---(1)
as both the sides are congruent , the third sides of triangles is also equal.
QR = RS ----(2)
∠PRQ = ∠SRT ----(3)
Hence by side- angle -side
ΔPQR and ΔRST are congruent.
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Related Questions
26. Use Patterns and Structure
Amoli says you should use
the Distributive Property to
multiply the two expressions.
Yuji says you should use the
Associative Property. Who is
correct? Explain
(125+y) 1/2y
Answers
Amoli is Correct, where distributive property is used to multiply two expressions.
What is Distributive property?
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
What is Associative property?
A mathematical principle known as the associative property states that grouping the factors in a multiplication problem does not affect the solution.
Step-by-step explanation:
According to distributive property:
= (125 * (1/2y)) +( y * (1/2y))
= 125/2y + 1/2
Here, Associative property does not held.
Hence, Distributive property should be used.
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The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper. What is the area of the circle on the paper? Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answers
The area of the circle on the paper is 4.5 cm when traced around the edge of the quarter on a sheet of paper.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper.
The area of the circle on the paper = πr²
Here r = (diameter of a quarter)/2 = 2.4/2 = 1.2 cm
The area of the circle on the paper = π(1.2)²
The area of the circle on the paper = π × 1.44
The area of the circle on the paper = 4.5238
Round the answer to the nearest tenth.
The area of the circle on the paper = 4.5 cm
Thus, the area of the circle on the paper is 4.5 cm
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Answer:its 4.5
Step-by-step explanation:
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds
Simplify. (x+1)+(x-2)(x+3)
show all work
Answers
An iocele triangle ha a bae length of 126 unit and a height of 16 unit find the length of one of thoe leg
Answers
The length of one of the legs of the triangle is 65 units.
An isosceles triangle has a base length of 126 units and a height of 16 units. We need to find out the length of one of the legs of the triangle.
First of all, we will consider a perpendicular bisector of the triangle. This divides the given triangle into two equal right-angled triangles. Now, in the smaller triangle, we will use the Pythagorean theorem.
Let the length of the leg be represented by the variable "x". The length of the base of the right-angled triangle is half the length of the base of the original triangle.
x² = (16)² + (126/2)²
x = √(256 + 3,969)
x = √4,225
x = 65
Hence, the length of one of the legs of the triangle is 65 units.
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Johnny has 8 pears, 5 apples, and 3 oranges. Draw a model to show the ratio of oranges to pears.
Answers
The speed of light is about 3 × 105 kilometers per second. The distance between Earth and the Moon is about 3.84 × 105 kilometers. Find how long it would take for light to travel from Earth to the Moon.
In scientific notation
Answers
The time it would take for light to travel from Earth to the moon is; 1.28 seconds.
How long would it take to travel from Earth to the moon?It follows from the task content that the time it would take for light to travel from Earth to the Moon is to be determined.
Since the given speed of light is; 3 × 10⁵ km/s and the distance is; 3.84 × 10⁵ km.
It follows from the formula;
Speed = Distance / Time
Time = Distance/Speed
Time = 3.84 × 10⁵ / 3 × 3.10⁵
Time = 1.28 seconds.
Therefore, the required time it would take to travel from Earth to the moon is; 1.28 seconds.
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What does 1.03 estimate to math
Answers
Answer:
provide context
Step-by-step explanation:
how many cubes are added
Answers
The number of centimeter cubes to be added to make the cuboid is; 30 cubes.
How to Interpret the elevation of objects?From the given plan, side elevation and front elevation, we can see that the number of cubes needed to make the shape is 18 blocks.
From the front elevation, 12 blocks is required (4 * 3 blocks).
From the side elevation, 6 blocks are required which gives us a total of 18 blocks.
The number of blocks needed to make the given cuboid is;
Volume of cuboid = 4 * 4 * 3 = 48 cm cubes.
Therefore the number of cubes to be added = Volume cubes - Number of cubes from elevation
The number of cubes to be added = 48 cubes - 18 cubes
The number of cubes to be added = 30 cubes.
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please help!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
the picture is very blurry.
I understand we need the y-intercept in every case and then move the pictures into the empty frames based on sorting these numbers from lowest to highest.
the y-intercept is the point, where a function/curve intersects the y-axis.
in other words, it is the y-value of the point, where x = 0.
so,
1. 0
2. -6
3. looks like -2 (again, very blurry)
4. looks like +2
5. +6
6. +4
sorting these gives us
2. -6 3. -2 1. 0 4. +2 6. +4 5. +6
therefore the 6 frames need to receive the original pictures in that sequence.
A spinner with 9 equal sections is numbered 1 through 9. the probability of spinning an even number is 49. what is the probability of not spinning an even number? enter your answer as a fraction, in simplest form, in the box.
Answers
Answer:
5/9
Step-by-step explanation:
The result of a spin is either an odd number or an even number. The two outcomes are complements.
If the probability of getting an odd number is 4/9, the probability of getting an even number is 1 - 4/9 = 5/9.
would you break a ten or a hundred when you subtract 282-47
Answers
I would break a ten when I subtract 282-47.
What is a ten?
This is the number after nine. it is a two-digit number. it is written as 10.
What is a hundred?
It is a number after 99. It is a three-digit number. It is written as 100.
What is subtraction?
This simply means taking away a number from another. its mathematical symbol is ( - ).
To subtract 282-47;
282
- 47
= 235
we need to break a ten i.e ( eight- tens) to get a ten to add to two making it 12. then subtract (12 -7) = 5.
7 is now remaining in the tens column i.e( seven- tens). Then subtract (7-4) =3.
Then bring down the two in the hundreds column.
Therefore, 282-47 =235
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Help me on this math problem pls
Answers
The quadratic inequality that will represent the parabola will be
y ≤ 2[tex]x^{2}[/tex] - 8x + 3
The given graph is a parabola where the mouth is open upwards. So from here we can clearly say that the coefficient of [tex]x^{2}[/tex] will be positive.
The vertex of the parabola is given as (2 , -5) in the graph.
So let us put value of x in the inequations given to us.
first option is
y ≤ 2[tex]x^{2}[/tex] - 8x + 3
y ≤ 2*[tex]2^{2}[/tex] - 8*2 + 3
y ≤ 8 - 16 + 3
y ≤ -5
Therefore the quadratic inequality that will represent the parabola will be
y ≤ 2[tex]x^{2}[/tex] - 8x + 3
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7
Oliver makes a plan to be healthier, starting with exercising more often. He signs up for a karate class, thinking this will be a cool way to get active.After three weeks, Oliver finds himself dreading karate class. He would much rather stay home and play RPG with his friends. Since Oliver has already made the decision, what is the BEST path for him to take?
Answers
It a because i told the tese
What is the equation of the line in slope-intercept form?
Answers
Answer:
4x+3y=12
Step-by-step explanation:
y=mx+b
m=-4/3,b=4
y=mx+b
y=-4/3x+4
3(y=-4/3x+4)
3y=-4x+12
4x+3y=12
please rate it,thanks.
On a coordinate plane, a parabola opens up. It goes through (negative 7, 5), has a vertex at (negative 4, negative 4), and goes through (negative 1, 5).
The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.
The vertex is the maximum value.
The axis of symmetry is x = –4.
The domain is all real numbers.
The range is all real numbers.
The function is increasing over (–∞, –4).
The x-intercepts are at (–6, 0) and (–2, 0).
Answers
Answer:
B: The axis of symmetry is x + -4.
C: The domain is all real numbers.
F: The x-intercepts are at (-6, 0) and (-2, 0).
Step-by-step explanation:
worked on edge 2022
The answer is the First, Third, and Last
Multiply and simply: (4 - 3i) (2 + i)
Answers
Answer:
11 - 2i
Step-by-step explanation:
Given expression:
[tex](4-3i)(2+i)[/tex]
Expand:
[tex]\implies 4(2+i)-3i(2+i)[/tex]
[tex]\implies 8+4i-6i-3i^2[/tex]
[tex]\implies 8-2i-3i^2[/tex]
Apply the imaginary number rule i² = -1 :
[tex]\implies 8-2i-3(-1)[/tex]
Simplify:
[tex]\implies 8-2i+3[/tex]
[tex]\implies 11-2i[/tex]
Step-by-step explanation:
well, when 2 summed teens are multiplied, every part of one term is multiplied with every part of the other term :
(4 - 3i)(2 + i) = 8 + 4i - 6i - 3i² = 8 - 2i + 3 = 11 - 2i
a pole that is 3.2m tall casts a shadow that is 1.6m long. at the same time, a nearby building casts a shadow that is 47.75m long. how tall is the building? round your answer to the nearest meter.
Answers
The height of building has shadow 47.75m long is 95.5m
What is the angle of elevation?The angle of elevation is defined as the angle which is formed by angle between horizontal line of sight and object.
According to given data:let the height of building be h. we have given height of another building is 3.2m and shadow is 1.6m long.
we know that
tan(∅) = perpendicular/base = 3.2/1.6 =2
As question says at same time, another building of height h and shadow is 47.75m long.then angle will be same.
⇒ tan(∅) = perpendicular/base = h/47.75
⇒ h/47.75 = 2
⇒ h = 2(47.75) = 95.5m
Thus, required height of building is 95.5.
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Which variable is most important to the following problem?
A company has 95,000 shares of stock to sell. A stockbroker decides to buy equal shares of the stock for each of her 250 clients. If the company has 75,000 shares of stock remaining after she makes her purchase, how many shares did each client receive?
Answers
The number of shares remaining after the stockbroker buys shares for her customers is 57500
Also, The number of the most important pretty definitely really variable for finding the number of shares the company particularly definitely for all intents and purposes has left in a generally really big way in a fairly big way. Also, The number of shares the company generally really definitely has left after stockbroker's purchase = 95000 - 150×250 = 5750 in a subtle way.
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nevaeh and michael are helping their friend nabhitha move. if nevaeh can move 6 boxes for every 24 boxes that michael moves, then how many boxes can michael move for every box that nevaeh moves? what is the enter
Answers
Answer:
Step-by-step explanation: I think it could be 5,0000
If the shared side between angles 1 and 2 has a measure of 2×+9 and the shared side between angles 3 and 4 has a measure of 9x+1, what is the value of X? Round your answer to the nearest hundredth.
Answers
Answer:
x = 1.14---------------------------
Given figure is a parallelogram since opposite sides are parallel.
Therefore the sides between angles 1 & 2 and 3 & 4 are of equal length:
2x + 9 = 9x + 19x - 2x = 9 - 17x = 8x = 8/7x = 1.144. Use the rules of measurement to add:
12.32 L +251 L +4225 L
Answers
At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.
Answers
Answer:
Step-by-step explanation:
they will sprint 75 yard in total
Answer:
1870
Step-by-step explanation:
10 x 2 = 20
25 x 2 = 50
50 x 2 = 100
20 + 50 + 100 = 170
170 x 11 = 1870
I cried over this problem so you dont have to :)
Find the domain and range og tje ff. Rational function f(x) = 2/x+1
Answers
The only case where it is not is when x+1=0 because x/0 is undefined.
Therefore, x≠-1
Meaning all values except -1 is a value of x;
(-infinity, -1) U (-1, +infinity)
There are 150 students in the marching band , and 30 of them play trumpet . Which number line represents the percent of the students in the marching band who play trumpet
Answers
By using the rule of 3 we wills ee that the percentage of students who play the trumpet is 20%
How to get the percentage of students who play the trumpet?We know that there are 150 students in the marching band, that will be our 100% in this case, and we know that 30 of them play the trumpet.
These 30 students represent a percentage X that we want to find, so we can write a little system of equations and use the rule of 3.
30 = X
150 = 100%
Taking the quotient between the two equations we get:
(30/150) = X/100%
Solving for X we get:
(30/150)*100% = X = 20%
So we can say that 20% of the students play the trumpet.
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Using the quadratic formula to solve 11x2 - 4x = 1, what are the values of x?
√15
11
ㅇ
0
ㅇ
77+2√15
11
11
Answers
Answer:
x=2/11 + (1/11) (√15) or 2/11 - (1/11) (√15)
Step-by-step explanation:
Plug it into the quadratic formula
The values of x are 9/11 and -5/11.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To use the quadratic formula to solve 11x² - 4x = 1.
We first need to rewrite the equation in the form ax² + bx + c = 0.
So,
11x² - 4x - 1 = 0
Now,
We can use the quadratic formula, which states that the solutions for the equation ax² + bx + c = 0.
x = (-b ± √(b² - 4ac)) / 2a
Now,
In our case,
a = 11, b = -4, and c = -1.
Substituting these values into the formula, we get:
x = (-(-4) ± √((-4)² - 4(11)(-1))) / 2(11)
x = (4 ± √(196)) / 22
x = (4 ± 14) / 22
So,
The solutions for the equation 11x² - 4x = 1
x = (4 + 14) / 22 = 9/11
x = (4 - 14) / 22 = -5/11
Therefore,
The values of x are 9/11 and -5/11.
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Do You UNDERSTA
D?
1.? ESSENTIAL QUESTION Why is identifying
the domain and range important when
defining a function?
Answers
PLS HELPP TYSM I NEED HELP ASAPPPP
Answers
Answer:
x = 7
Step-by-step explanation:
(10x+30)° and (17x-19)° are
EQUAL TO EACH OTHER
10x+30 = 17x-19
7x = 49
x = 7
desmos
To find out the y-intercept of the line that is
parallel to y = 0.5x - 2, what should you do?
Since the parallel line goes through the point (3,
0) substitute 3 for x and 0 for y and solve for b,
the y-intercept.
You cannot solve it because you do not know
what x and y are for the parallel line.
Since the parallel line goes through the point (3,
0) substitute 0 for x and 3 for y and solve for b,
the y-intercept.
Answers
You cannot solve it because you do not know what x and y are for the parallel line. which is the correct answer would be option (B).
We have to find out the y-intercept of the line that is parallel to y = 0.5x - 2,
As per the given options,
Since the parallel line goes through point (3, 0) substitute 3 for x and 0 for y and solves for b, the y-intercept.
This is not the correct answer.
You cannot solve it because you do not know what x and y are for the parallel line.
This is the correct answer.
Since the parallel line goes through the point (3, 0) substitute 0 for x and 3 for y and solve for b, the y-intercept.
This is not the correct answer.
Therefore, You can't solve it since you don't know what the parallel line's x and y coordinates are.
Hence, the correct answer would be option (B).
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-2/9 x² -1/9 x² (expanding expressions)
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(-2/9)x² - (1/9)x²
Taking out the common.
(-1/9) (2x² + x²)
Adding the like terms.
(-1/9)3x²
-1/9 x (3x²)
(-1/3)x²
Thus,
The final expression of (-2/9)x² - (1/9)x² is (-1/3)x².
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