The prove for QA/QR = QB/QS is shown below.
What is Similarity of Triangles?Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
1) Given
2) <Q is congruent to <Q
by reflexive property of congruence
3) <QBA is congruent to <QSR
by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR
by AA theorem
5) QA/QR=QB/QS
by CPSP (corresponding parts of similar polygons are proportional)
Learn more about Similarity here:
https://brainly.com/question/26451866
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The temperature dropped 20 degrees from noon to midnight. The temperature at midnight was 24°F. Write and solve an equation to find the temperature at noon?
solve the following for x 4(x+2) = 6x
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
4(x+2)=6x
distribute 4:
4x+8=6x
Subtract 4x from each side:
8=2x
Divide both sides by 2:
x=4
Matt was given $14 for a good report card. He now has $23. How much money did he start with?
Answer:
9 dollars
Step-by-step explanation:
do 14 - 23
Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
14 cm
Answer:
1,330.5 cm³
Step-by-step explanation:
Volume of cylinder = πr²h
Where,
r = ½ of 11 = 5.5
h = 14 cm
Plug in the values
Volume = π × 5.5² × 14
Volume = π × 423.5
Volume = 1,330.5 cm³ (1 d.p)
Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Answer:
The standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:
[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]
Step-by-step explanation:
We know that:
[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation
[tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex]
Rewriting the equation in the standard form
[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]
Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:
[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]
where
vertex (h, k) = (-5, 12)
Jane moved from a house with 66 square feet of closet space to an apartment with 37.62 square feet of closet space. What is the percentage decrease of Jane's closet space?
Answer:
Step-by-step explanation:
A system of equations is shown below. y = 2x - 9 y = x + 3 What is the solution to the system of equations?
Answer:
Well, you would need to graph both, and you can see they intersect at the point (12,15)
I need help..Please make it correct..
Answer:
11/13
Step-by-step explanation:
3/13, 5/13, 7/13, 9/13, 11/13
3/13
3/13 + 2/13 = 5/13
5/13 + 2/13 = 7/13
7/13 + 2/13 = 9/13
9/13 + 2/13 = 11/13
Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is
Answer:
Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is
THE QUESTION IS ABOVE
Answer:
The box would be 14
Step-by-step explanation:
It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.
Answer:
7/14
Step-by-step explanation:
Have a nice day.....
Geometry pls help me
Answer: 180
Step-by-step explanation:
When added together, Interior angles of a triangle are always equal to 180 degrees.
Answer:
∠FHG=120°
Step-by-step explanation:
first you calculate the angles of the triangle NGH
this is isoceles triangle, so there's 2 equal angles
and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same
so both are 20°
any triangle has a sum of 180° of interior angles
so 180-(H+G)=the angle below N
180-(20+20)=140°
the angle below N is same as N because they're vertically opposite
140 is an exterior angle
and the exterior angle is equal to the 2 far angles
140=40+∠FHN
140-40=100°
so ∠FHN=100°
∠FHN+∠NHG=∠FHG
100+20=120°
so ∠FHG=120°
theres another answer choice thats four but it got cut out please help pretty easy question
Answer:
We conclude that:
f(g(3)) = 2
Hence, option B is correct.
Step-by-step explanation:
Given the f(x) table
x 2 3 4 5
f(x) 0 1 2 3
Given the g(x) table
x 1 2 3 4
g(x) 1 2 4 8
We need to determine f(g(3)).
In order to determine f(g(3)), first, we need to determine g(3)
It is clear from the table of g(x),
at x = 3, g(3) = 4
so
f(g(3)) = f(4)
Now, we need to check the value of f(4) at x = 4 using the table f(x)
It is clear from the table of f(x),
at x = 4, f(4) = 2
Thus,
f(g(3)) = f(4) = 2
Therefore, we conclude that:
f(g(3)) = 2
Hence, option B is correct.
Can someone help me with this??
Answer:
the second option, a=3 b=3 c=5
Step-by-step explanation:
first I would change them both into an improper fraction:
9/2 divided by 5/4
dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.
what is the property pls help
Answer:
B
Step-by-step explanation:
Because its addition
Answer:
I'm pretty sure it's B). Additive identity Property.
Step-by-step explanation:
If it isn't let me know.
Evaluate 14 + (-2). (1 point)
O
16
-16
O
-12
12
One angle of a triangle measures 75. The other two angles are in a ratio of 5:16. What are the measures of those two angles?
Answer:
25 and 80
Step-by-step explanation:
180 - 75 = 105
105 / (5+16) = 5
multiply each side of the ratio 5:16 by 5
5x5 : 16x5 = 25:80
Which table could NOT represent a function?
input 0 1 2 3 4
output 2 4 6 8 10
input 30 40 50 60 70
output 21 11 -1 -11 -21
input 4 9 14 19 24
output 10 12 14 16 18
input -10 -10 0 0 10
output 8 16 24 32 40
Answer:
The fourth one
Step-by-step explanation:
Just cause its right
The perimeter of a rectangular pool is 72 meters. If the length of the pool is twice its breadth. Its length is_________.
Answer:
Length = 18 meters
Step-by-step explanation:
Let the length of the rectangular pool = l meters
And breadth of the pool = w meters
Perimeter of the rectangular pool = 2(l + 2w)
Since, perimeter of the rectangular pool is 72 meters.
2(l + 2w) = 72
l + 2w = 36 --------(1)
If length of the pool is twice of its breadth,
l = 2w
w = [tex]\frac{l}{2}[/tex] -------(2)
By substituting the value of 'w' from equation (2) to equation (1),
[tex]l+2\times{\frac{l}{2}}=36[/tex]
2l = 36
l = 18 meters
Can someone walk me through this?
Answr :
I hope my answer is correct
m<Jmk = m<HML. m<HJL=m<KHJ
m<JKH=m<JHL m<LHK=m<JLH
m<HLK = m<HJK. m<JLK= m< HJL
OLEASE HELP I BEG YOU
Answer:1 is the remainder hope it helps
Answer:
This is pretty easy the dividend is 34,465 and the divisor is 6 and whatever the answer is will be the quotient
Step-by-step explanation:
hope this helps :>
Explain how to use the distributive property to simplify: -2(x + 5) ?
Answer:
-2x-10
Step-by-step explanation:
Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.
[tex]\huge\bold{ANSWER:}[/tex]
-2x-10
[tex]\bf{EXPLANATION:[/tex]
Hi there!
Here's what the Distributive Property states:
a(b+c)=ab+ac
So, we take a number outside the parentheses, and "distribute" it.
In this case, we should distribute -2:
-2(x+5)
-2x-10 (a negative times a negative is a positive)
Hope it helps!
Enjoy your day!
Feel free to ask if you have any doubts! :)
[tex]\mathfrak{SilentNature~a.k.a.Sparkles}[/tex]
Simplify the expression.
3.4m + 9 - 2.4m =blank
Answer:
m+9
Step-by-step explanation:
What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards
Answer:
301.59 yards
Step-by-step explanation:
The Science Club went on a two-day field trip. The first day the members paid $60 for transportation plus $11 per ticket to the planetarium. The second day they paid $85 for transportation plus $8 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
if you can please solve it
Answer:
145 + 19t
Step-by-step explanation:
At 9:00 a.m., it starts snowing outside Dario's home at the rate of 6 inches per hour. If Dario's front door is 84 inches tall, at what time will the snow reach the very top of Dario's front door?
30 POINTS PLUS BRAINLIEST!!!
Answer:
Step-by-step explanation:
at 9:00AM starts snowing, 84/6=14
9:00 AM..........................0 inches
10:00AM..........................6inches
11:00AM...........................12 inches
12:00PM...........................18 inches
.......................................................
11:00PM..............................84 inches
Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf. What inequality matches this scenario
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf.
The inequality that matches this scenario will be:
x ≥ 12.
Since there were at least 12 games, we would use the greater than or equal to sign.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP NEED ANSWER NOW!!!!!!!!!!!!!!!!!
solve each linear system by GRAPHING. CHECK YOUR ANSWER
2.) x - y = 6
2x = 12 + 2y
3.)1/2 x - y = 4
2y = x + 6
Answer:
2.) Infinitely many solutions
3.) No solutions
Step-by-step explanation:
To solve systems of equations graphically, you need to find where they intersect
2.) First put each equation in the form y=mx+b
x-y=6 -> y= x-6
2x=12+2y -> y= x-6
Then, graph each line
Since we have the same equation, the lines are on top of each other so there are infinitely many solutions as they intersect everywhere.
To check, plug a point in from the graph into both equations and you should get 0=0
3.) First put each equation in the form y=mx+b
1/2x-y=4 -> y=1/2x-4
2y=x+6 -> y=1/2x+3
Then, graph each line
Since the lines have the same slope but a different y intercept, the lines are parallel. Therefore, there are no solutions as they do not intersect.
To check your answer, you would one equation as the y in the other equation.
2(1/2x-4)=x+6, then solve for x
Then plug that x into the original equations, and you'll see they are not equal. Hope that helps!
please help me pleeeeeeaaassseee
Answer:
Step-by-step explanation:
answer no 3:
1] Factor out the common term 2.
2(3x+y) = -26
2] Divide both sides by 2.
3x+y= -26/2
3x+y = − 13
3]Subtract y from both sides.
3x = - 13-y
4] Divide both sides by 3.
x = -13-y/3
Part 2:-
Add 6y to both sides.
x=21+6y
x=21+6y
Javier is buying fencing to surround his garden. If his garden has a perimeter of 30 yards, and fencing costs $6.00 a yard, how much money will he need for the fencing?
$180
Step-by-step explanation:
30 x 6 = 180
Answer:
180 it is basic multiplication
Step-by-step explanation:
2/5 of 2/3
What’s the answer to this? I’m failing math and I kinda forgot how to do fractions lol
Answer:
4/15 is your answer my friend
Step-by-step explanation:
Answer:
when the equation says of, all you need to do is multiply the two numbers, so the answer is 4/15
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