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:
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What is the area? pleaseee helppppp
Answer:
A = 12 sq in
Step-by-step explanation:
A = bh/2
A = 6(4)/2
A = 12
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.
*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.
Solve the triangle round al answers to 1 decimal
b = 6, A = 20°; - I just need Help finding a and c
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
find the value of y.
find the x-intercepts, use the zero product property, r(r+7)=0
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.
There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3
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:
9
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).
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
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
What is X equal to in this problem?
Answer:
28 degrees
Step-by-step explanation:
How many times bigger is 3,136 than 972 in percentage form
Answer:
30.99
Step-by-step explanation:
Help me I’ll mark brainliest!!!!!!!
Answer:
1 first you would find the volume of the pryimid which is-
27in²
2 then you'd find the volume of the rectangular prism which is-
108in²
3 then you add the two together-
27in² + 108in² = 135in²
brainliest ;)
Please help!! Explanation and answer please (:
Answer:
You can draw a model for your teacher if your teacher approves
Step-by-step explanation:
Try drawing a model
Solve for x
please help me an explanation is not needed if you don’t want to add it !
Answer:
70˚
Step-by-step explanation:
la suma de los cuadrados de dos numeros
The base of a right rectangular pyramid has length 14 cm, width 12 cm, and height 13 cm. Describe a cross section that could be formed by a horizontal plane that intersects the faces of the pyramid above the base.
What is the sum of the interior angles of the polygon pictured below?
Answer:
37
Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY I TIRED
Please help me on the questions attached
Answer:
There are no questions attached.
Step-by-step explanation:
Can someone please explain how to solve this? Thanks!
Please someone help me... I have my state test tomorrow and I don't know how to do this.
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
Graph a line with a slope of 5 that contains the point (-2,4).
Khan Academy
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
Find a30 of the arithmetic sequence:
−17,−7,3,13,...
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
Find the 8th term of the geometric sequence 3, 9, 27, ...
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
3
2) 27
---- = 3
9
for the sequence
Common ratio r = 3First term a = 3n = 8The 8th term can be obtained through formula
n-1 (8 - 1)
T = ar = 3 × 3
n
7
= 3 × 3
= 3 × 2187 = 6561
Which of the following shows the correct order of the given numbers?
1 5/8, 1 3/10, 1.6
1.6, < 1, 5/8 < 1 3/10
1 3/10 < 1.6 < 1 5/8
1 5/8 < 1 3/10 < 1.6
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 length of the unknown leg in the right triangle?
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:
The answer is 15
Step-by-step explanation:
The original price of a packet of potato chips was $2.50. Now, 5 packets of potato
chips are sold at $10. What is the percentage discount of buying 5 packets of potato
chlps?
Answer:
it would be 20% off
Step-by-step explanation:
If you know the whole sheet that would be best!!!!!
Answer:
Step-by-step explanation:
Mskwosjdbeiecdbf
unit 8 homework 4 geometry
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
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
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
What is the equation of this
Answer:
it's correct
Step-by-step explanation:
HELP DUE IN 15 MINS!
Solve for x in the parallelogram below:
X=??
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 = 4Step-by-step explanation:
Adjacent angles of a parallelogram are supplementary
14x + 6 + 118 = 18014x + 124 = 18014x = 180 - 12414x = 56x = 56/4x = 4
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
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