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Explanation:
This is a 45-45-90 right triangle. Any triangle of this form is isosceles, where the two legs are the same length. In this case, m and n are those two legs. So m = n.
We can then apply the Pythagorean theorem to say
a^2 + b^2 = c^2
m^2 + n^2 = (9*sqrt(2))^2
m^2 + m^2 = 9^2*(sqrt(2))^2
2m^2 = 81*2
m^2 = (81*2)/2
m^2 = 81
m = sqrt(81)
m = 9
As a shortcut, the hypotenuse of a 45-45-90 triangle is equal to sqrt(2) times the length of either leg. If m is the length of the leg, then m*sqrt(2) is the length of the hypotenuse. So in a sense, we take this thought process backwards to go from a hypotenuse 9*sqrt(2) to a leg length of 9.
Can somebody help me. Will mark brainliest.
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
What is the answer???
Answer:
A. Translation, Translation
Step-by-step explanation:
The pre-image was translated 1 unit up then it was translated 4 unit to the right.
What is the measure of the missing angle?
maya joins two peices of wood together one peice is 36 inches long the total lenght of both peices is 62 how long is the other peice of wood
help ;-;...
Answer: 26
Step-by-step explanation:
62-36=26
Answer: 26
You simply have to subtract 36 from 62
Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater
Answer: 3/6
Step-by-step explanation:
If you convert them into decimals you get
3/8 = 0.375
3/6 = 0.5
Answer: 3/6 is greater
Step-by-step explanation:
Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.
Answer 6
Step-by-step explanation:
I found the answer on calculator
Can you please help me with this???
Answer:
SQT = 100
Step-by-step explanation:
A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.
The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what is the combined number of cellists and violinists?
Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]
[tex]\text{Combined number of cellists and violinists}=10x[/tex] ...(i)
Number of violinists in the school orchestra = 21
[tex]7x=21[/tex]
Divide both sides by 7.
[tex]x=3[/tex]
Now, the combined number of cellists and violinists is
[tex]\text{Combined number of cellists and violinists}=10(3)[/tex] [Using (i)]
[tex]\text{Combined number of cellists and violinists}=30[/tex]
Therefore, the combined number of cellists and violinists is 30.
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP
Answer:
8 kilometers
Step-by-step explanation:
Since 5 is half of 10, then do 16/2 to find how many kilometers.
Answer:
8
Step-by-step explanation:
16 kilometres in 10 miles (divide by 10 to find 1)
1.6km 1 mile
8(times1.6 by 5) 5 miles
please mark as brainliest!!!
The ratio of children to adults in a supermarket is 1 : 5
There are 15 children in the supermarket.
How many adults are in the supermarket?
pls answer quickly thanks :)
Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else
Step-by-step explanation:
Could you write 9 inches and 180 as a ratio?
Answer:
9:120 but if simplified 1:20
Step-by-step explanation:
I hope this helps
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions
Guys I rlly need help this due in 4 minutes, whats 1683 divided by 383 please help me
Answer:
1683 / 383 = 4.39 or approx 4.4
Answer:
4.39425587467 or 4 remainder 151.
Step-by-step explanation:
Long division.
In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Select the equation that represents the graph above.
y=x√−2y is equal to square root of x minus 2 , ,
y=x√+2y is equal to square root of x plus 2 , ,
y=x+2y is equal to x plus 2 , ,
y=x+2−−−−−√
Answer:
_
just did the test and got it right its /x + 2
Step-by-step explanation:
just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option
I need help fast thank you all!!
Answer:
b = 5.2
c = 3.5
Step-by-step explanation:
By 45°- 45° - 90° triangle theorem:
[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]
By 30°- 60° - 90° triangle theorem:
[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]
Pls explain how you got the answer also ☺️
Answer: x = 250
Step-by-step explanation:
-17 + x/5 = 33
+17 on each side to get rid of the 17
x/5 = 50
Multiply each side by 5 to cancle out the 5 and isolate the variable
x = 250
PLEASE HELP ASAP!!
The graph represents which system of inequalities?
A.) y<=-2x+3
y<=x+3
B.) y>=-2x+3
y>=x+3
C.) y<=-3x+2
y<=-x+2
D.)y>-2x+3
y>x+3
Answer:
Its the yellow area
Step-by-step explanation:
what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
[tex]\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }[/tex]
Then, the cost price of this bicycle :
[tex] = \tt \frac{2850 \times 100}{100 + 14} [/tex]
[tex] = \tt \frac{285000}{114} [/tex]
[tex] =\color{plum} \tt2500[/tex]
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
[tex] = \tt2500 = \frac{\: x \: \times 100}{100 + 8} [/tex]
[tex] = \tt2500 = \frac{100x}{108} [/tex]
[tex] =\tt 100x = 2500 \times 108[/tex]
[tex] = \tt100x = 270000[/tex]
[tex] =\tt x = \frac{270000}{100} [/tex]
[tex] =\color{plum}\tt x = 2700[/tex]
Therefore, the selling price with a profit of 8% will be = 2700
3х - 2y = 1 in standard form
Answer:
y= (3x-1)/2
Step-by-step explanation:
Describe and correct the error in using properties of parallelograms.
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
Write the fraction 9/12 as a percent
9/12 = 75%
if any questions just ask.
Answer:
75%Step-by-step explanation:
9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.l hope it helps you ❤❤5x + 3y = 5
5x + 7y = 25
Answer:
(-2,5)
Step-by-step explanation:
Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.
Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.
k
8
12
k+2
k+8
k+10
k-2
k-8
Answer:
Step-by-step explanation:
The expression for the total distance covered.
k + (k + 8) + (k - 2)
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,
Distance biked:
Jackson = k
Maria = k + 8
Peter = k - 2
Now,
The total distance biked.
= k + k + 8 + k - 2
= 3k + 6
= 3 (k + 2)
Thus,
The total distance covered is 3 (k + 2).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Helppp!!
What is the value of the missing angle?
Answer:
105
Step-by-step explanation:
all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105
hope this helps :)
7(n - m) for m = 4 and n = 15
Answer:
63
Step-by-step explanation:
7(15-4)
7(9)
63
Which rational function has vertical asymptotes at x=-3 and 9,a horizontal asymptote at y=1, and an x-intercept of 0?
•h(x)=x^2/x^2-6x-27
Answer:
Yes that function does •h(x)=x^2/x^2-6x-27
Step-by-step explanation:
Yes that function does •h(x)=x^2/x^2-6x-27