How do you know if it's AAS or ASA?

Answers

Answer 1

To know it's AAS or ASA check, In ASA, the side is in between the two angles on the triangle i.e Its included side. In AAS, the S is listed at the end to indicate that the side is not in between the angles i.e it's not include side.

AAS (angle, angle, side) :

AAS stands for "Angle, Angle, Side" and means that there are two triangles whose two angles and sides that are not included are known to be equal. Triangles are congruent if two angles and not included sides of a triangle are equal to the corresponding angles and sides of another triangle.

ASA (Angle, Side, Angle) :

If two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. Triangles are congruent if two corresponding pairs of angles and the sides between them are known to be congruent. A triangle is congruent if two pairs of corresponding angles are congruent and the sides involved are also congruent. This criterion is known as Angle Side Angle (ASA). Another criterion is the angle-angle-side (AAS), which is known to congruent two pairs of angles and an absent side.

To learn more about AAS and ASA congruence postulates, refer:

https://brainly.com/question/29186066

#SPJ4

Related Questions

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

*see attachement for diagram

Answer:

Sal would pay $93.53 to tile his entryway.

Step-by-step explanation:

Given:

1 unit = 1 foot

Tile cost = $2.15 per square foot

To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.

The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.

✔️Area of the trapezoid = ½(a + b)*h

Where,

a = 7 ft

b = 4 ft

h = 5 ft

Area of the trapezoid = ½(7 + 4)*5

= ½(11)*5

= 27.5 ft²

✔️Area of the parallelogram = b*h

b = 4 ft

h = 4ft

Area of the parallelogram = 4*4 = 16 ft²

✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²

✅Cost to tile 1 ft² = $2.15

Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53

✅Sal would pay $93.53 to tile his entryway.

find the value of y.

Answers

76! its because its a vertical to the other 76

Please someone help me... I have my state test tomorrow and I don't know how to do this.

Answers

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3

Answers

3 different sizes.

3 different colors.

Total outcomes: number of sizes x number of colors.

3 x 3 = 9

There are 9 total outcomes.

Answer:

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).

Answer:

1 3/10 < 1.6 < 1 5/8

Step-by-step explanation:

All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.

What is the area? pleaseee helppppp

Answers

Answer:

A = 12 sq in

Step-by-step explanation:

A = bh/2

A = 6(4)/2

A = 12

HELP DUE IN 15 MINS!
Solve for x in the parallelogram below:

X=??

Answers

Answer:

x = 4

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180°, so

14x + 6 + 118 = 180

14x + 124 = 180 ( subtract 124 from both sides )

14x = 56 ( divide both sides by 14 )

x = 4

Answer:

x = 4

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary

14x + 6 + 118 = 18014x + 124 = 18014x = 180 - 12414x = 56x = 56/4x = 4

Natalie invests $5,632 in a retirement account with a fixed annual interest rate of 2% compounded 12 times per year. What will the account balance be after 16 years?

A) $8,398.46

C) $7,753.92

B) $8,610.85

D) $7,910.43

Answers

Answer:

C) $7,753.92

Step-by-step explanation:

Given data

Principal= $5,632

Rate=2%

n= 12

Time = 16 years

The expression for compound interest is

A=P(1+r/n)^nt

substitute

A= 5632(1+0.02/12)^12*16

A=5632(1+0.02/12)^12*16

A= 5632(1+0.00166)^12*16

A= 5632(1.00166)^12*16

A= 5632(1.00166)^192

A=5632*1.375

A=$7744

Hence the approximate amount is C) $7,753.92

Solve for x
please help me an explanation is not needed if you don’t want to add it !

Answers

Answer:

70˚

Step-by-step explanation:

Find the 8th term of the geometric sequence 3, 9, 27, ...

Answers

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

2) 27

---- = 3

for the sequence

Common ratio r = 3First term a = 3n = 8

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

= 3 × 3

= 3 × 2187 = 6561

find the x-intercepts, use the zero product property, r(r+7)=0

Answers

9514 1404 393

Answer:

r = 0

r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

r = 0

The factor (r+7) is zero when ...

r +7 = 0 ⇒ r = -7

The "x-intercepts" are r=0 and r=-7.

What is X equal to in this problem?

Answers

Answer:

28 degrees

Step-by-step explanation:

8. Coffee Country City Council has decided to build a new road to connect Main Street
and Lincoln Lane (see the drawing). If construction costs $25,000 per mile, how much
will it cost?
Main Stream
3 mil
Lincoln Ln
1.5 miles-
NEW ROAD

Answers

Answer:

easy just pull put calculator and add 25,000 with 3 mil

Step-by-step explanation:

Answer:

Cost 64951.91

Step-by-step explanation:

We are to assume that the new road and Lincoln Lane meat at right angles. If that is true we can use the Pythagorean Theorem.

Givens

a = 1.5 miles

b = ?

c = 3 miles

Cost per mile = 25000

Solution

a^2 + b^2 = c^2

1.5^2 + b^2 = 3^2

2.25 + b^2 = 9

b^2 = 9 - 2.25

b^2 = 6.75

sqrt(b^2) = sqrt(6.75)

b = 2.5981

Cost

1 mile costs 25000

2.5981 costs x

1/2.5981 = 25000 / x Cross Multiply

x = 2.5981 * 25000

x = 64951.91

Can someone please explain how to solve this? Thanks!

Answers

you would use the cos equation to answer this so it would be cos45= x/26 so when u type that into a graphing calculator the final answer would be x= 13 sqrt 2

If you know the whole sheet that would be best!!!!!

Answers

Answer:

Step-by-step explanation:

Mskwosjdbeiecdbf

I’m not sure if this is right but I believe the first one is 307.72

Solve the triangle round al answers to 1 decimal
b = 6, A = 20°; - I just need Help finding a and c

Answers

Step-by-step explanation:

tan 20 = a/6

a = 6 tan 20 = 2.18 = 2.2

c = √(36+4.84)

c = √ 40.84

c = 6.38 = 6.4

What is the length of the unknown leg in the right triangle?

Answers

Answer:

15m

Step-by-step explanation:

a^2 + b^2 = c^2

a=?

b = 20m

c = 25m

a^2 + (20m)^2 = (25m)^2

a^2 + 400m^2 = 625m^2

a^2 = 625m^2 - 400m^2 = 225m^2

a = 15m

Answer:

Answer:

a₃₀ = 273

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 17 and d = a₂ - a₁ = - 7 - (- 17) = - 7 + 17 = 10 , then

a₃₀ = - 17 + (29 × 10) = - 17 + 290 = 273

Please help!! Explanation and answer please (:

Answers

Answer:

You can draw a model for your teacher if your teacher approves

Step-by-step explanation:

Try drawing a model

A trapezoid has a height of 6 inches, an area of 120 inches, and one base measuring 14 inches. Find the length of the other base

Answers

Answer:

26 inches

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}[/tex](a + b) x h

a and b = 2 parallel sides

h = height

120 = 0.5(14 + b) x 6

120 = 3 x (14 +b)

Divide both sides of the equation by 3

120/3 = 14 + b

40 = 14 + b

Collect like terms

b = 40 - 14 = 26inches

Graph a line with a slope of 5 that contains the point (-2,4).

Khan Academy

Answers

Answer:

Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)

Step-by-step explanation:

y - y1 = m(x - x1)

y - 4 = 2/5(x + 2)

y - 4 = 2/5x + 4/5

y = 2/5x + 24/5

unit 8 homework 4 geometry

Answers

Answer:

14. 44.8 feet

cos48=30/x

x=30/cos48

x=44.8

15. 2352 feet

tan12=500/x

x=500/tan12

=500/0.2126

x=2352

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