Two congruent figures are similar can be proved by using theorem of similarity given by : SSS, SAS, ASA, AA, and RHS.
Congruent figures are also representing similar figure can be proved in the following ways:
Prove that all the three corresponding sides of the two triangles are in proportion: SSS (Side-side-side).Prove that that corresponding sides of the two triangles are in proportion and included angle is of equal measure : SAS(Side- Angle-Side).Prove that two adjacent angles of one triangle equal to the other triangle: AA ( Angle - Angle).Prove that two adjacent angles of one triangle equal to the other triangle and included side are in proportion : ASA (Angle- Side -Angle)prove that hypotenuse and one of the side of two right angled triangle are in proportion.Therefore, two congruent figures are similar proved by theorem of similarity given by : SSS, SAS, ASA, AA, and RHS.
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Paul's house has an area of 1,650 square feet. He plans to add another room on to his house. The new rectangular addition will have dimensions 12 feet by 15 feet. What is the area of the house after the new room has been added?
PLEASE HELP
Answer:
1,830 sq. ft.
Step-by-step explanation:
12 x 15= _180_
1,650 + 180=_1,830__
Kim bought four bottles of water and 2 candy bars at a snack shack. Steve bought one bottle of water and 7 candy bars from the same snack shack. A bottle of water cost $1.25 and all candy bars are the same price. If Kim and Steve spent the same amount of money, how much does one candy bar cost?
$0.70
$0.75
$1.25
$1.33
Answer:A
Step-by-step explanation:
1 bottle is 1.50
4*1.50=5
5+1.25= the total
5divided by 7=0.70
Double check your work I’m not sure if I’m right!
i need help asap PLEaSSSSSSSSAE
Answer:
c
Step-by-step explanation:
Can someone help me solve? Simplify each expression show work
Use both the first and second derivative tests to show that f(x) = 3x2 − 6x + 1 has a relative minimum at x=1.
Step-by-step explanation:
Given: f(x) = 3x^2 − 6x + 1. x ∈ (-∞, ∞)
now differentiating f(x) w.r.t. x we get
f'(x) = 6x-6
equating it 0 we get
x = 1, which is a critical point
Now using second derivative test to check relative maxima or minima
f''(x) = 6 >0
⇒ x=1 is a relative minima.
also, x=1 f(1) = 3-6+1 = -2
prove the identity. 25 points + brainliest to whoever explains/shows work.
Answer:
Truth
Step-by-step explanation:
sin (2x)/sin (x) - cos (2x)/ cos (x) = sec (x)
If you look at sin (2x) cos (x)/ sin - cos (2x) sin (x)/ cos (x) sin (x) =
sin (2x) cos (x) - cos (2x) sin (x)/ sin (x) cos (x) = sec (x) yes still equals sec (x)
the surface area 5cm x 14cm x 6cm
Please answer! Answer choices are: A, B, C
Answer:
A
Step-by-step explanation:
9k^2+11k-36k-44 ????
Answer:
[tex]9k^{2} - 25k - 44[/tex]
Step-by-step explanation:
A set of instructions says to subtract 5 from a number n and then double that result, calling the final result p. Which
Function rule represents this set of instructions?
A p = 2(n-5)
B. p = 2n-5
C. n = 2(p-5)
D. n = 2p - 5
Answer:
it either A or B im not sure which one
Step-by-step explanation:
Which statement below accurately describes the data in the table?
A)
More than 75% of the students prefer Alternative or Hip Hop music.
B)
40% of students prefer Hip Hop.
C)
The mode of the data is Alternative Music,
D)
More than 25% of students prefer Country or Rock Music.
Answer:
The answer is A:More than 75% of the students prefer Alternative or Hip Hop music.
Step-by-step explanation:
which property is BEST to use when combining 3/5 + 1/4 + 2/5? A) distributive property B) identity property of addition C) additive inverse property D) commutative property of addition
Answer:
D Community property of addition
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Solve for x and show work.
Answer:
44
Step-by-step explanation:
since 88 is the whole angle and your trying to find 1 side you would divide 88 by 2 which gives u 44
a line has a slope of 1 and 1 and a y-intercept of -15. what is its equation in slope intercept 6
Answer:
y = x -15
Step-by-step explanation:
Any helpers pls ?will give brainliest
Answer:
26
Step-by-step explanation:
when x is 0, y = 26
also y = mx+b where b is the y intercept b is 26
Answer:
26
Step-by-step explanation:
x=0
f(0)=-3x+26=-3*0+26=26
Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?
Answer:
sinple interest= principle*rate*time/100
SI= 2400*3*1.5/100
SI= 108
AMOUNT= SI + PRICIOLE
AMOUNT= 108+2400
AMOUNT= 2508
{ I converted 18 months to 1.5 years}
Work out the area of this circle.
Give your answer in terms of it and state its units.
14 cm
Answer:
area = 153.94
Step-by-step explanation:
Diameter = 14. Half of 14 is 7, so radius = 7.
Formula for the area of a circle = π * r^2, so π * 7^2 = 153.93804
(0,0); y = 4/5x+7 help me
Answer:
(-8.75, 7)
Step-by-step explanation:
I hope this helped.
11. A rate written as 80 miles per hour is an example of a
(2 points)
A.Ratio
B.Equivalent Ratio
C.Unit Rate
help me plzz and thank u sm
Answer:
The equation of the axis of symmetry is x = 7
Step-by-step explanation:
Mathematically, we have the equation of the axis of symmetry as;
x = -b/2a
where a is the coefficient of x^2 = 1
b is the coefficient of x which is -14
So, the equation of the axis of symmetry will be;
x = -(-14)/2(1) = 14/2 = 7
So the equation of the axis of symmetry is x =7
someone help pls, :((((
please help me i am begging you. its one question. I WILL GIVE BRAINLIEST!!!!!
Answer:
3og -5 “times (x)” 3
Step-by-step explanation:
(3og minus 5) times 3
I don’t have time to explain but I hope this helps, I’m in a rush rn I got to do something
i wasnt paying attention in math class and now I cant do my assignment ahh
Answer:
336m^2
Step-by-step explanation:
base x height + (side1 + side2 + Height)Length
please help me solve for x and find missing side lengths and angle measures,,
Answer: 90
Step-by-step explanatio
Answer:
the angle measure for angles T and V would be 127 because they are on opposite locations from each other. the angles S and U would 53 because T and U are coplemantery angles (180 degrees) so you subtract. 180-127 to get 53. To find x, on angle S, we simply subtract 1 from 53 (53-1) and divide the answer by 2. To find the lengths of the sides, put them next to each other and separet
them by an equal sign. subtract 3y from both sides of the equation and add 5 to both sides of the equation to get 3y=12. then divide 12 by 3 to get 4 so y=4. Then, simply replace the y with a 4 and solve the equations of the sides.
Please help me, will mark brainliest
Answer:
EThir 83 or 180
Step-by-step explanation:
The following sequence is arithmetic. Fill in the missing terms.
12 , ? , ? , ? , 18, ? ...
Answer:
12,13.5,15,16.5,18,19.5
Step-by-step explanation:
just add 1.5
Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of times, in minutes, is displayed in the histogram below.
Answer:
You forgot to attach the question and the histogram.
Is your question “the interval containing the most movies” ? If yes, then the answer is :
Interval 90-100 minutes
Step-by-step explanation:
A histogram is a chart that is used to represent data in form of bars.
Like every other chart, it consists of both the x and y axis. The y axis contains the frequency or percentage of occurrences while the x axis contains the range or intervals.
To determine the interval with the most occurrences, that is the interval containing most movies, we look for the bar with the most height. The bar that is tallest amongst others has the most movies in its running time.
From the attached histogram, the interval containing the most movies is the 90- 100 minutes interval.
This simply means that from Alex’s record, out of the 50 popular movies, more movies run with the 90-100 minutes interval.
PS: view the attached histogram
Answer:
There are two problems like this, one involving median and the shape.
Here are your answers for both.
Shape is skewed right, this is because it decreases towards the right, like a hill. (C)
Extra info/this part isnt right: It would be skewed left but it isn't because it is not decreasing towards the left like a hill.
The median is between the interval 90-100, because it looks to be the typical number. (A)
Youll thank me later!
Answer:
Step-by-step explanation:
thx
Help plz ASAP for 20pts
Answer:
Not sure if this is correct but this is what I found.
area of sector=74.84
radius = 8
angle of sector=?
74.84=1/2×8²×angle of sector
74.84=32 × angle of sector
74.84/32= angle of sector
2.33875=angle of sector
Step-by-step explanation:
Sorry if it is incorrect.
Evaluate the following using
powers of ten rules.
10/652.3
Please help will mark brainliest:)
Answer:
65.23
Step-by-step explanation:
We divide the inside number by the outside number. We can first right this problem as 652.3/10. Using power of ten rules we can move the decimal point one to the left. Making the answer 65.23