Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle. AAS congruence may be demonstrated with a few simple methods.
When two triangles in geometry are the same size and shape, they are said to be congruent. The Angle-Angle-Side (AAS) congruence theorem is one of several approaches to demonstrate that two triangles are congruent.
According to the AAS congruence theorem, triangles are congruent if two angles and the side that connects them in one triangle are congruent with two angles and the side that connects them in another triangle. This is how this theorem is expressed:
If ∠A = ∠E, ∠B = ∠F, and AB = EF, then ∆ABC ≅ ∆DEF
In other terms, triangles ABC and DEF are congruent if two angles and the side between them in triangle ABC are equivalent to two angles and the side between them in triangle DEF.
To learn more about the AAS congruence theorem
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Mary spent a total of $322.53 for a party. She spent $200.97 on food, plus an additional $30.39 for each hour of the party. How long
was the party?
Answer:
4 hours
Step-by-step explanation:
y = total cost
x = per hour
Equation:
y = 200.97 + 30.39x
322.53 = 200.97 + 30.39x
322.53 - 200.97 = 30.39x
121.56 = 30.39x
x = 4
can you please help me? as much as you can is greatly appreciated <333 pt 1
Answer:
11) 80°
12) 80°
13) 80°
14) 40°
15) 60°
16) 120°
17) 180°
18) 100°
19) 120°
20) 280°
Step-by-step explanation:
This will take awhile, so I will just give you the theorems I used to determine my answer.
11) Supplementary angles theorem
12) Central Angles/Arcs Theorem
13) Vertical Angles Theorem
14) Central Angles/Arcs Theorem
15) Vertical Angles Theorem (The vertical angle minus 40 would equal 60)
16) Supplementary Angles Theorem (Supplementary to 100 degrees)
17) Central Angles/Arc Theorem
18) Vertical Angles & Central Angles/Arc Theorem
19) Angle Addition Postulate, somewhat
20) Angle Addition Postulate
Have a nice day, fam. This problem really worked my brain. Spread The Love.
What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.
Answer:
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
Answer:
4.5 mm
Step-by-step explanation:
Need help once again!!!
Answer:
the answer to this question is seven
What are two numbers that when multiplied equal -30 and when added together equal 1?
Answer:
6 and -5
Step-by-step explanation:
6 times -5 = -30
6 + (-5) = 1
Rewrite this number in scientific notation.
57,000,000,000,000
Answer:
57.0 * 10^12
Step-by-step explanation:
Answer:
5.7 x 10^13
Step-by-step explanation:
trust me
Urgent!! Math help!!! Pls answer them all or the ones you know! I’ll make you brain-list!
Answer:
1) mEF is 38°
2) mDE is 52°
3) c. 6.28
4) b. 20.94
Step-by-step explanation:
1) mEF is corresponding to mHG
2) mDE + mEF = 90, so 90-38=52
3) L=r·∅ so L=3·120 (in radians)
4) Couldn't see Q, but based on the right angle we can assume the inside angle for mQPT is 119°
2. Eli has 600 cubes that are 1 cubic inch. Select the smallest length a cube- shaped box can have while being able to hold the 600 cubes. A 7 in. B 8 in. C 9 in. D 10 in.
Answer:
9 in
Step-by-step explanation:
We need to find x in x^3 > 600
For x=8, 8^3 = 512 < 600 (Too Small)
For x=9, 9^3 = 729 > 600 (Just right)
For x=10, 10^3 = 1000 > 600 (Too big)
Therefore, the smallest length of the cube-shaped box is 9 in.
Please help... 12 points please thank you!
What is the slope-intercept equation for the line below?
5
(54)
(0, 2)
- A. y = 2 x + 2
D. -- +2
Find the value of x then find the angle measures of the polygon
Answer:
X=135⁰
Step-by-step explanation:
The sum of angles= 540
Angles are x⁰ x,⁰(x-45⁰),(x-45)⁰
x+x+x+x-45+x-45+x-45=540
5x-135=540 simplify
5x=540+135 Add 135 to both sides
[tex]\frac{5x}{5} =\frac{675}{5}[/tex]
divide both sides by 5
X=135⁰
hope it helps....
what is the answer of 2m^2 * 2m^3
Answer:
4m^5
Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation:
Solve the system using the substitution method. -5x – 8y = 17 x = 3.5y – 8.5 NO LINKS PLEASE HELP LINKS = REPORT
Answer:
x=-5 , y=1
Step-by-step explanation:
-5x-8y=17
x=3.5y-8.5
-5(3.5y-8.5)-8y=17
-17.5y+42.5-8y=17
-25.5y+42.5=17
-25.5y=-25.5
y=1
x=3.5(1)-8.5
x=-5
Help me, I will give brainliest to best answer. No work needs to be explained.
Write three hundreths as a decimal.
Use digits to write each decimal number:
a. one hundred two and three tenths
b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths
Answer:
3.00 I think or 30.0 I really don't know but that's what I think
y = -3/2x -2 y = -1/4 + 3
Answer:
umm. what am I supposed to find
Step-by-step explanation:
I need to know what to fi d in order to get the answer for you it would make it easier if you did that now so yeah
PLS HELP QUICK!!
The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.
Answer:
4
Step-by-step explanation:
750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root
There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color
Answer:
Blue = 30
Green = 24
Red = 54
Orange = 12
Step-by-step explanation:
hahahshahhahahahahahauehfudbrog f ghg
Create and solve a 2 step equation where x = -3
Answer:
Equation:
x + 2 = -1
x = -1 - 2
x = 3
Joey and her sister are helping remodel their parent's house.
They plan to carpet the bedroom which is 14 feet by 16 feet.
The carpet is priced at $1.90 per square foot.
How much can they expect to pay for the new carpet?
Answer:
They will have to pay $425.60
Step-by-step explanation:
14*16 equals 224 feet
224 feet times $1.90 equals $425.60
Can you guys plz help me!?
Thanks!!
can you please help me? as much as you can is greatly appreciated <333 pt 2
Answer: m3 for the first one
Step-by-step explanation:de
This could take a while, so I'll simply put the answer with the theorem I used to figure it out with.
1) 45° - minor arc; Central Angles/Arcs Theorem
2) 180° - semi circle; Diameter Theorem? (Whichever theorem states that the diameter separates a circle into two 180° semi circles)
3) 75° - minor arc; Angle Addition Postulate
4) 105° - minor arc; Angle Addition Postulate
5) 225° - major arc; Angle Addition Postulate
6) 45° - minor arc; Vertical Angles Theorem
7) 135° - minor arc; Angle Addition Postulate
8) 240° - major arc; Angle Addition Postulate
9) 315° - major arc; Angle Subtraction Postulate, i think? lol.
10) 180° - semi circle; Diameter Theorem or whatever it's called lol.
Additionally, I determined whether or not an angle was a major arc, minor arc, or semi circle with the knowledge that:
minor arc - less than 180 degreesmajor arc - more than 180 degreessemi circle - is 180 degrees.Have a nice day, fam. Spread The Love. lol I'm tired after typing all this out :P
Describe a real world situation where you might use the Pythagorean Theorem. Help due today :))
I need help, please anyone!
What is 5x6 equal too?
Answer:
30
Step-by-step explanation:
6+6+6+6+6 or 5+5+5+5+5+5
Answer:
30
Step-by-step explanation:
cause you can do it mentally or you can do 5+5+5+5+5+5, cause its 5 six times. Or 6 five times. 6+6+6+6+6
Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?
Answer:
50 - 8 = 42
divide 42 by 3!
5.25
One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.
x = first number
y = second number
x=y+5
3x +2y = 30
lets substitute x=y+5 in the second equation for x;
3(y+5) + 2y =30
3y + 15 + 2y = 30
5y + 15 =30
5y = 30 -15
5y = 15
y = 3
Now that we have y lets plug that answer into either equation for y;
x = 3 + 5
x = 8
:) if I’m wrong I’m very sorry.
Rewrite the decimals as fractions 3.34
-5x=10 plz no links thanks
Answer:
2
Step-by-step explanation:
2x5=10
Answer:
-5x=10
x= 10/(-5)
x = -2 (sign in the denomiantor comes to numerator)
Help me please I will give Brainliest!
Answer:
n = 4.5
Step-by-step explanation:
I think it is 4.5 because n is 3 units ahead of 1.5 on the number line:
1.5+3=4.5
16. Solve for x. x = __________
Answer:
20
Step-by-step explanation: