The required triangle KLM and triangle QPR has been proved congruent with Hypotenuse-Leg theorem.
What are Pythagorean triplets?In a right angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
From triangle KLM and QPR,
KM = QR
LK = PQ
Square and subtract above equations,
KM² - LK² = QR² - PQ² - - - - - (1)
From Pythagoras theorem,
hypotenuse ² = perpendicular² + base square,
For triangle KLM
KM² = LK² + LM²
KM² - LK² = LM² - - - - -(2)
For triangle QPR,
QR² = PQ² + PR²
QR² - PQ² = PR² - -- - - - (3)
From equation 2 and 3 put value in equation 1
LM² = PR²
LM = PR
Thus, triangle KLM and triangle QPR proved to be congruent. And the theorem is Hypotenuse-Leg theorem.
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A recipe for a loaf of bread calls for 2/3 of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A. 18 B. 16 C. 15 D. 12 E. 8
Answer:
8
Step-by-step explanation:
12 * 2
3
= 24
3
= 8
Therefore the answer is E. 8
Answer: The answer is D 12 i am pretty sure.
find the value of x plz
Answer:
6.5 or
Step-by-step explanation:
i believe thats the answer but im not the best with this
type of math so umm i tried but i just added them simplified
What is 28.6 - 0.975 and I need an explanation...
Answer:
27.625
Step-by-step explanation:
I hope this helps
Answer:
27.625
Step-by-step explanation:
so 28.6 is 28.600.
this means that this will be:
28.600
-00.975
I have attached an image of the solution and how it can be solved.
write the perpendicular to 2x-y=6 through the point (2,-1)
Answer:
y=[tex]-\frac{1}{2}x[/tex]
Step-by-step explanation:
I need y’all please help me 5
Answer:
Yes
Step-by-step explanation:
She could have because she wants to rent it for 3 hours, and they charge $2 for each hour.
3*2=6
Add the $10 fee. 6+10=16
$16.
She has enough money because she paid less than $27
-(-10x-8)=-(4x+10)
A)-4
B)-2
C)-3
D)3
show work
Answer:
None of given x = -1²/₇Step-by-step explanation:
-(-10x - 8) = -(4x + 10)
10x + 8 = -4x - 10
-8 -8
10x = -4x - 18
+4x +4x
14x = -18
÷14 ÷14
x = -¹⁸/₁₄ = -⁹/₇ = -1²/₇
I think you meant -(10x-8)=-(4x+10)
Then:
-(10x - 8) = -(4x + 10)
-10x + 8 = -4x - 10
-8 -8
-10x = -4x - 18
+4x +4x
-6x = -18
÷(-6) ÷(-6)
x = 3 D)Find the y and x and the given slope of the given line: Line E.
Answer:
change in y: 0
change in x: 5
slope: 0
Step-by-step explanation:
Sub these two points from Line E into the gradient formula (you can search this up on the internet) and you would get 0/5
Points: (1,3) and (6,3)
Rise over run
3-3 over 6-1
0/5 and the answer is 0
Generally, when it asks you to find the slope of a horizontal line, its always 0
The triangles shown below must be congruent.
45°
45°
12
45°
45°
12
O A. True
B. False
Answer:
I believe the answer is True
Hope this Helps!
The triangles shown below must be congruent is True statement.
What is Congruency?Two geometric figures are said to be congruent, or to be in the relationship of congruence, if one can be superimposed on the other and they correspond throughout.
As, Two triangles are congruent if their two angles and included sides are equivalent to the other triangle's two angles and included side.
Confirm that the triangles are congruent:
Both of the triangles given are right-angled triangles.
The included side between the angles 45° and 90° in both triangles is 12 units.
This is a necessary condition for the ASA congruence rule.
Thus, the given statement is True statement.
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6х + 7 = 4х + 13 Solve for X
Answer:
x = 3
Step-by-step explanation:
subtract 7 from both sides, then subtract 4x from both sides after
6x +7 = 4x + 13
-7 -7
6x = 4x +6
-4x -4x
2x = 6
divide both sides by 2x
answer x =3
thank u so much much appreciated
Answer:
A
Step-by-step explanation:
The definition of a parrelelogram is "a four-sided plane rectilinear figure with opposite sides parallel". Since you already know that EH and Fg are equal because of the black ticks on them. Now you only need to find out wheter or not EF≅HG to meet the criteria of a parrelologram.
Answer:
Step-by-step explanation:
A
please answer asap!!
Answer:
k = 3
Step-by-step explanation:
Assuming the values in the table are in direct proportion, then
y = kx ← is the equation relating x and y with k the constant of proportion, thus
k = [tex]\frac{y}{x}[/tex]
To find k substitute (28, 84 ) into the equation
k = [tex]\frac{84}{28}[/tex] = 3
What is the slope of the line 4x - 2y = 5?
Answer:m=4/2
Step-by-step explanation:
u subtract 4 to get y alone
then u dived by a -2y to get y alone
then u u get y=-4/2x-5
a number is greater than or equal to -4
Answer:
n[tex]\geq[/tex]-4
Answer: x ≥ -4
Step-by-step explanation:
Since an unknown number is greater than or equal to -4, it would be written as x ≥ -4. Some numbers greater than or equal to -4 include -4, -3, -2, -1, 0, and 1.
If f(x) = (1/8)(8^x), what is f(3)?
Answer and work down below. Let me know if you have any questions
Answer:
64
Step-by-step explanation:
f(3)=64
Subtract the difference of a and 2 from 7
Answer:
7-(a-2)
Step-by-step explanation:
Please help me solve this!
Which of the following is an expression? *
4x = 12
25 - 12 = 13
7x - 3 + 2y =29
3m
-71 points-
Answer:
3m
Step-by-step explanation:
An expression does not have an equals sign
An equation has an equals sign
4x = 12 equation
25 - 12 = 13 equation
7x - 3 + 2y =29 equation
3m expression
A use bike costs $75 a new one costs $300. how many times more expensive is a new bike compare with a use bime
Answer:
300-75=225
Step-by-step explanation:
The proportionality constant is k = 4
The cost of the new bike is 4 times the cost of used bike
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportionality constant be represented as k
Now , the cost of used bike A = $ 75
The cost of new bike B = $ 300
The proportionality constant k = cost of new bike B / cost of used bike A
Substituting the values in the equation , we get
The proportionality constant k = 300/75
The proportionality constant k = 4
Therefore , the new bike is 4 times the cost of used bike
Hence , the proportionality constant is 4
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Which number is equivalent to the fraction 14/5?
A. 1 9/5
B. 2 4/5
C. 2
D. 3
Answer:
B. 2 4/5
Step-by-step explanation:
How much is 25 pens for $19.75.
Answer:
$493.75
Step-by-step explanation:
25 × 19.75 = $493.75I hope this helps!
Is it possible to create a regular tessellation using a regular decagon? Explain. Yes, 2 decagons with a common vertex will have interior angle measures that sum to 360. Yes, 3 decagons with a common vertex will have interior angle measures that sum to 360. Yes, all of the angles and sides of each decagon are congruent. No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.
Answer:
The answer on edge 2020 is D.No, a tessellation of 2 decagons will have a gap, and a tessellation of 3 decagons will overlap.
Step-by-step explanation:
I took it and passed!
Answer:
D is right on edge
Step-by-step explanation:
just did it
plss answer asap i will give brainliest
Part (a)
Answer: -2-----------
Explanation:
Draw a vertical line through -2 on the x axis. This vertical line will cross the blue parabola at some point P. From point P, draw a horizontal line to the y axis. You should arrive at y = -2. Figure 1, in the attached diagram below, shows this process.
================================================
Part (b)
Answers: x = -3 or x = 1-----------
Explanation:
Draw a horizontal line through y = 1 on the y axis. This is because y = f(x).
This horizontal line crosses the parabola at two places. Drop a vertical line straight down to the x axis to note the x values that make f(x) = 1 true.
You should find the solutions to be x = -3 and x = 1
See figure 2.
which property is needed to solve x/5=13
Answer: Multiplication property of equality
This is the idea that if a = b, then a*c = b*c for any real numbers a,b,c
It allows us to multiply both sides by the same number.
In this case, we multiply both sides by 5 to get
x/5 = 13
5*(x/5) = 5*13 ... multiplying both sides by 5
x = 65
identify each letter of the slope intercept equation y=m×+b
Answer:
mx is your slope and b is your y-intercept
Step-by-step explanation:
Convert 3 4/5 to a percent
Answer:
380 %
Step-by-step explanation:
3 × 100 = 300
4/5 × 100 = 80
300 + 80 = 380 %
Determine a and b so that figure ABCD is a parallelogram
Answer:
C(8,2)
That is the answer for a and b
this hard:( i need help :(
Answer:
[tex]33,680 cm^2[/tex]
Step-by-step explanation:
The formula needed for this problem is..
[tex]S.A=2(l*w)+2(l*h)+2(w*h)[/tex].
Given that;
The height of the door= 200cm
The length of the door= 3cm
The width of the door= 80cm
Now, substitute the formula with the information given.
[tex]S.A= 2(3*80)+2(3*200)+2(80*200)[/tex]
[tex]S.A= 2(240)+2(600)+2(16000)[/tex]
[tex]S.A= 480+1200+32000[/tex]
[tex]S.A= 33,680 cm^2[/tex]
Solve for a.
7a + 18 = 102
a =
Answer:
a=12
Step-by-step explanation:
7a+18=102
first, subtract 18 FROM BOTH SIDES!
then you get 7a=84.
next, divide BOTH SIDES by 7
and you get a =12 :)
The Tradewinds Shipping Company charges $15 flat fee plus $5 per pound to ship an overnight package. The Lucy Lu
Shipping Company charges $30 flat fee plus $2 a pound to ship an overnight package.
For what weight is the charge the same for the two companies?
Answer:
$52
Step-by-step explanation:you add them together
Answer:
the weight for both companies to be the same is 5 pounds
Step-by-step explanation:
Jordan is five years older than twice Amanda's age. Their combined age is 38 years.
What is Jordan's age?
Answer:
27
Step-by-step explanation:
Let a represent Amanda's age. Then Jordan's age is 2a+5, and the combined ages are ...
a +(2a+5) = 38
3a = 33
a = 11
So, Jordan's age is ...
2(11) +5 = 27