The first of the three theorems below, known as the Angle-Angle-Side Theorem or AAS Theorem, asserts that two angles and a non-included side of a triangle must be congruent with the corresponding two angles and non-included side of another triangle for the triangles to be considered congruent.
What do you mean by congruent?
Congruent refers to objects that are precisely the same size and shape. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.
Why are triangles congruent?
Two triangles are said to as congruent triangles if their dimensions and shapes match. Two congruent triangles remain congruent even if we flip, rotate, or otherwise alter one of the triangles.
Two triangles must have the same angles and, as a result, must be congruent if their sides are equal.
Learn more about congruent triangle
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Simplify. 9 - 5x + 8 - 4x
Answer:
− 9 + 1 7
Step-by-step explanation:
Hope this helps!
What is the surface area of the cylinder with height 4 mi and radius 3 mi? Round your answer to the nearest thousandth.
Answer:
The surface area of the cylinder will be "131.88".
Step-by-step explanation:
The given values are:
Height of cylinder,
h = 4 m
Radius of cylinder,
r = 3 m
As we know,
The surface are of cylinder is:
⇒ [tex]A_s=2 \pi r(h+r)[/tex]
On substituting the values, we get
⇒ [tex]=2\times 3.14\times 3(4+3)[/tex]
⇒ [tex]=18.84\times 7[/tex]
⇒ [tex]=131.88[/tex]
there were 7 roses in the vase. Jessica cut some more roses from her flower garden. there are now 15 roses in the vase. how many roses did she cut?
Answer:
Jessica cut 8 roses.
Step-by-step explanation:
15-7=8
You have to subtract the amount she cut from the flower garden (15) to the amount which the vase had (7), in which you will get an answer of 8.
Consider the function f(x)=15x^2+60x-19
Name the vertex for the function
The vertex for this function would be (-2,-79)
How many sides does a polygon have?
Answer:
it can have any about 3 and up as long as it is a 2d shape and it has to have straight lines
Answer:
They all vary. All a polygon needs is straight sides, two dimensions, and equal length sides.
Step-by-step explanation:
Hope this helps!
i need this done pls :)
Answer:
300....?
Step-by-step explanation:
Write -76.62 as a mixed number
The perimeter is
25cm
32cm
29cm
GIVING BRAINLIEST!!!!!!
32+4X(16 x 1/2)-2
show your work
Answer:
32x + 30
Step-by-step explanation:
32+4X(16 x 1/2)-2
32 + 4X x 8 -2 ( 16 times 1/2 = 8)
32 + 32x -2 ( 4 times 8 = 32)
32x + 30 ( 32 + -2 = 30)
20+(5 * 2/5)+3
20 + 2 + 3
22 + 3
25
Round to the nearest hundreds
Please help
I will give brainliest
Answer:
36+50.27=86.27
86.27cm^2
Step-by-step explanation:
3.14x4^2= 50.27
9x8=72/2=36
add them up and boom there goes your gf ... jk jk jk
then u get the answer ofc ;)
A person swims 11 miles downstream in the same time they can swim 7 miles up stream. The speed of the current is 4 miles per hour.
These situations can be represented by the equations
Downstream: t=11/s+4 Upstream:t=7/s-4,
where t stands for time and s is the speed of the swimmer. What is the speed of the swimmer swimming in still water?
Answer:
s = 18 mph
Step-by-step explanation:
At downstream, time is; t = 11/(s+ 4)
At upstream, time is; t = 7/(s - 4)
Since they both are passed in the same time, then ;
11/(s+ 4) = 7/(s - 4)
Cross Multiply to get;
11(s - 4) = 7(s + 4)
11s - 44 = 7s + 28
11s - 7s = 44 + 28
4s = 72
s = 72/4
s = 18
ANSWER ASAP!!!!!!!!!!!!!!!!!!!!! Reflect (4, -4) over the x-axis. Then translate the result to the right 3 units. What are the coordinates of the final point? NO FILES PLEASE
Answer:
(7,4)
Step-by-step explanation:
The rule for reflecting over the x-axis is (x,y) -> (x,-y)
If you apply that to your point, you get (4,4)
When doing this translation, you add the 3 to the number you have in the x. This will give you (7,4).
Hope I helped.
Find the perimeter of the figure. (Will mark brainliest of correct!)
Answer:
24 inches.
Step-by-step explanation:
Add em' all up cuz.
Answer:
It should be 30 I think
Step-by-step explanation:
I first found the perimeter of the rectangle and then the triangle and added them both together
If you spun the spinner 100 times, how many times do you predict that you would spin a number less than 5 on a spinner of 1-6
Answer:
67 times
Step-by-step explanation:
Spinner's sample space = (1, 2, 3, 4, 5, 6)
Number less than 5 = (1, 2, 3, 4)
Total possible outcomes = 6
Required outcome = 4
P(number less than 5) = required outcome / Total possible outcomes
P(number less than 5) = 4 /6 = 2/3
Number of spins = 100
Predicted Number of times a number less than less than 5 is spurn in 100 spins :
100 * 2/3
= 66.666
= 67 times
According to market research, a business has a 75% chance of making money in the first 3 years.
According to lab testing, of a certain kind of experimental light bulb will work after 3 years.
According to experts, the likelihood of a car needing major repairs in the first 3 years is 0.7.
Write the scenarios in order of likelihood from least to greatest after three years: the business makes money, the light bulb still works, and the car needs major repairs.
1 car 2 businse 3 lightball
Name another chance experiment that has the same likelihood as one of the scenarios.
plese answer right this is my 3rd time and all i got was like ghty0................................... for answers
Answer:
There is a 75% chance of sunny skies tomorrow.
Step-by-step explanation:
75% chance is the same likelihood as the business scenario. Hope this helps!
I need answer by 2:25!!!! Please hurry!!!!!
x=-2, y=5, z=3.
X^4-5y+2(x-z)^2.
A. 50.
B. -41.
C.41.
D. 63
Answer:
C
Step-by-step explanation:
-2^4-5(5)+2(-2-3)^2
16-25+2(25)
16-25+50
41
How do I find X and Y
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(3,5)
Equation Form:
x=3,y=5
Step-by-step explanation:
Identify a transformation of the function f(x) = (x) by observing the equation of the function g(x) = (x)+56.
A: a vertical shift 56 units upwards
B: a horizontal shift 56 units to the left
C: a horizontal shift 56 units to the right
D: a vertical shift 56 units downward
Answer:
A: a vertical shift 56 units upward I believe
help please I need it in polynomial forms
What is the area of the figure below?
3 in.
3 in.
5 in.
5 in.
3 in.
3 in.
7 in.
Answer:
68 inches squared
Step-by-step explanation:
First, let's find the area of the squares at the top and bottom. Area for a square is:
L * W = A
Plug in the values...
3 * 3 = 9
Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:
7 (total width) - 3 (middle width) / 2 (because there are two sides)
So it is:
(7 - 3)/2
4/2 = 2
So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:
(B * H)/2 = A
Fill it in...
(2 * 5)/2
10/2 = 5 inches
So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:
5 * 4 = 20 inches
That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...
L * W = A
10 * 3 = 30
So, that means that the area of the hexagon is:
30 + 20 = 50
Plus, the two squares from the beginning:
50 + 18 = 68 inches squared
Therefore, the area of the figure is 68 inches. Hope this helps you!
Ann's car can go 204 miles on 6 gallons of gas. During a drive last weekend, Ann used 7 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.
Given :
Writing lan's car can go 204 miles on 6 gallons of gas.
During a drive last weekend, lan used
7 gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 204 mi on 6 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 204/6 mi
On 7 , it will go 204/6*7 =238 miles
Hence the required answer is 238 miles.
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 11.1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 42°
Adjacent Leg = x
Hypotenuse = 15
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos42^\circ = \frac{x}{15}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 15cos42^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 15cos42^\circ[/tex]Evaluate: [tex]\displaystyle x = 11.1472[/tex]Round: [tex]\displaystyle x \approx 11.1[/tex]help pleaseeee, I don't understand
Answer:
B.
Step-by-step explanation:
2x+4-1
Math hey guys can somebody please help me out here
the answer would be C
braineliest ;)
Help worth 10 points I need the whole area of the shape
Answer:
1,736km^2
Step-by-step explanation:
Answer:
2,352 km^2
Step-by-step explanation:
So there is a square and 4 triangles.
You first, find the area of the square.
You then get: 35 x 48 = 1,680
Then you need to add the triangles.
Because we have 2 triangles on each side the area formula of a triangle in which is 1/2 times by the base and height can be solved by just B * H.
Doing that you can get: 48 * 7 = 336
Because you have 2 triangles, the final area results in:
1,680 + 336 * 2 = 2,352
The figure shown is created by joining two rectangles.
1.25 ft
2.25 ft
3.5 ft
2 ft
3.5 ft
Enter the area, in square feet, of the figure.
Select the best answer 101
2. Which of the following is an example of a proper fraction?
A.7/6
B. 4/3
C.4/4
D.3/4
the ravens scored 1 touchdown and an extra point . how many total points did they score
Mhanifa please help i will mark brainliest :)
Answer:
AD=11.7 since corresponding side of parallelogram are equal.
BD=8.5 since corresponding side of parallelogram are equal.
Answer:
#1
Opposite sides are congruentAD = BC = 11.7 units#2
Diagonals bisect each otherBD = BE + DE = 2*DE = 2*7.2 = 14.4 units