Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
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An investment of $5,690 earns interest at a rate of 4% and is compounded quarterly. What is the
accumulated value of the investment at the end of 7 years?
Please answer
convert decimal divison expressions to fractional division expressions to create whole number divisions.
1. 35.7 ÷ 0.07
2. 486.12 ÷ 0.6
3. 3.43 ÷ 0.035
4. 5,418.54 ÷ 0.009
5. 812.5 ÷ 1.25
6. 17.343 ÷ 36.9
Will give brainliest to best answer!!
Step-by-step explanation:
1. 35.7/0.07=510
2. 486.12/0.6=810.2 approximately 810
3. 3.43/0.035=98
4. 5418.54/0.009=602,060
5. 812.5/1.25=650
6. 17.343/36.9=0.47 approximately 1
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Step-by-step explanation:Equation of line perpendicular to , x=4 is
y +k=0
As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0
As, given the line perpendicular to, x =4, passes through the point (5,7).
So, y+k =0, passes through (5,7).
→ 7 +k=0
→ k= -7
So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.
Put the following numbers in order:
3.28, -4/5, -7.1, 0, 11/12, π, .889753, -4 1/3 help please!
In order of smallest to largest.
1) -7.1
2) -4 1/3
3) -4/5
4) .889753
5) 11/12
6) 0
7) π
8) 3.28
What is the nth term rule of the lines
5, 8, 11, 14, 17....
Tn
I think the answer is 3n+2.
Answer:
3n+2
Step-by-step explanation:
Evaluate the expression for x=2 and y=4
16x0 + 2x2 • y-1
Answer:
31
Step-by-step explanation
16x0+2x2•y-1
ok now
16•2+2•2•2•4-1
wich is: 31
Please help me I don’t know how to solve this
|5z+1| >14
A warehouse stores thousands of marble slabs of different shapes, sizes, and materials that are used for construction projects. The manager wants to estimate the average weight of these slabs. The slabs are arranged in stacks that have about101010 slabs of different varieties. The manager wants to weigh a random sample of100100100 slabs.Why might the manager choose a cluster random sample instead of a stratified random sample in this setting?
Answer: Both B and C
B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.
C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.
Step-by-step explanation:
B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.
C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.
elena gives following sequence of transformation to show that the two figures are similar by transforming ABCD into EFGD. dialte using center D reflect using the line AE is elenas method correct
Answer:
Elena is incorrect.
Step-by-step explanation:
In the first step, the figures are supposed to be about the same size. But the reflection over AE does not match them together. The correct line must be vertical and it has to go through point D.
If I'm correct, the scale copy should be 2.
∴/therefore, if it doesn't go through point D, Elena is incorrect.
Mark me brainliest if possible, it's always appreciated! ¯\_(ツ)_/¯
-❤AbqveNatural❤
a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs per linear foot to install and the farmer is not willing to spend more than , find the dimensions for the plot that would enclose the most area.
The constraint for the maximum enclosed area is the amount the farmer is
willing to spend on fencing.
The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet
The length of the plot that will give the most area, y = 125 feet
Reasons:
The given parameters are;
The cost of fencing per foot = $20
The maximum amount the farmer is willing to spend = $5000
Number of sides of fencing = 3 sides
Cost of the west side of the = Split with neighbor
Solution:
Let, y, represent the length of the fence, and let x represent the width of
the fence, we have;
Length of fence required = y + 2·x
Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x
Therefore;
Maximum amount to be spent on the fence, 5000 = 20·y + 30·x
[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]
[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]
Area of a rectangle = Length × Width
The enclosed rectangular area of the fencing, A = y × x
[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]
[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]
The leading coefficient of the quadratic function of the area is negative,
therefore, the function only has a maximum point.
At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]
Finding the value of x at the maximum point, we get;
[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]
Therefore;
[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]
[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]
The length of the plot that will give the most area, y = 125 feet
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Evaluate: 5x + 1 when x = 2.
Answer:
answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Pls helppp it’s due soon!
Will give brainliest if your answer is right
Answer:
19.4
Step-by-step explanation:
This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4
The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.
Answer:
r=5.31
Step-by-step explanation:
A=π r²
88.42cm²=3.14r².................π =3.14
88.42cm²÷3.14=r²
r²=28.16cm²
r=5.31
Pls help WILL MARK BRAINLY also 34 POINTS
Answer:
X is 38, y is 27.
Step-by-step explanation:
This is because you are subtracting on the 90 degree angles.
Answer:
The answer is 27 degrees for x, and 38 degrees for y.
Step-by-step explanation:
There are many ways you could do this. The easiest one for me was if you look at the left side of the 180 degree line (CD), you take away 90 (straight angle) from 63, which equals 27 degrees (answer for x). Then, add up all the angles on the left side of the 180 degree line. However, you need to first work out a, which is 180-128=52 degrees. Now you can add them up. 52 degrees (a) plus 27 (m) plus 63 (n) = 142 degrees. Then take away 180 from 142, which equals 39 degrees for y. If you want to check this Add up all your known angle on the left side of the 180 degree line. 52 plus 27 plus 63 plus 38, which equals 180 degrees, which is correct.
is every parellelagram a rhombus?
Answer:
No
Step-by-step explanation:
Not every parallelogram is a rhombus, though any parallelogram with perpendicular diagonals is a rhombus
simplify by combining like terms -(m+n)+2 (m-3n)
-(m+n)+2(m-3n)
-m+n+2m-6n
-m+2m+n-6n
m-5n
Answer:
m -7n
Step-by-step explanation:
-(m+n)+2 (m-3n), distribute in the first parenthesis the -1 and in the second parentheses the 2
-m -n + 2m -6n , group like terms
-m + 2m -n -6n , combine like terms
m -7n
help with this plesseee
Answer:
the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.
Write 567.4892 correct to (I)the nearest ten (II)2 decimal places
Answer:
i think the answer to your question
1) 570
2)567.49
40. If f(x) = -3x + 7 and g(x) = -7x+3, what is the value of f(-3) - g(3)?
Answer:
34
Step-by-step explanation:
f(-3) = -3(-3) +7
f(-3) = 16
g(3) = -7(3) +3
g(3)= -18
16 -(-18) = 34
Answer:
34
Step-by-step explanation:
f(x) = -3x + 7
f(-3) = -3(-3) + 7
= 9 + 7 (two negatives make a positive)
= 16
g(x) = -7x + 3
g(3) = -7(3) + 3
= -21 + 3
= -18
16 - (-18)
16 + 18 (two negatives make a positive
= 34
Hope this helps!
giving brainliest to someone earning it
Answer:
um... okie
Step-by-step explanation:
Graph the line passing through (1,2) whose slope m= -1/3
[tex] \sf \: y = - \frac{1}{3} x + \frac{7}{3} [/tex]
hope it helps
If the hexagon has a perimeter of 42 what is one of the side lengths
Answer:
7
Step-by-step explanation:
hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42) with the number of sides (6) and you get the length of one side (7)
42/6 = 7
solve pls brainliest
Answer:
mixed no. 51/10
Improper fraction 5/1/10
what number is 12% of 315
Answer:
12% of 315 is 37.8 :) Tag me if I'm wrong
Answer:
x = 37.80
Step-by-step explanation:
The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.
The given statement, "What number is 12% of 315" can be expressed algebraically as:
x = 0.12 × 315.
x = 37.80
Therefore, 37.80 is 12% of 315.
How do I slove Solving Systems Using Matrices in word form like this please help I'm almost don't for the night >_< ;-; :( o-o
Answer:
Below!
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10
[tex]\huge \bf༆ Answer ༄[/tex]
The slope of the marked line is " Negative "
Lines that make obtuse Angle with positive x - axis have a Negative slope.
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
HELP ASAPPPPPPPPPPPPP
Answer:
Answer: A
Step-by-step explanation:
(go to attachment to see explanation)
hope this helped :D
Plzzz help meeeeeplzzz
Answer:
1 1 0 0 1 1 (base 2)
Step-by-step explanation:
Do it as a common sum operation, remember that when you have 2 or more you need to carry over.
I need help on
3-6a=9-6a
Answer:
3 = 9
Step-by-step explanation:
Simplifying 3 + -6a = 9 + -6a Add '6a' to each side of the equation. 3 + -6a + 6a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 0 = 9 + -6a + 6a 3 = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 3 = 9 + 0 3 = 9 Solving 3 = 9 Couldn't find a variable to solve for.
help help Please help
Answer:
Rises 1 and runs -5
Step-by-step explanation:
The slope is 1/-5