The AAS congruence rule states that if two angles and the included side of a triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent.
What is AAS congruence rule?The AAS congruence rule is a rule used in geometry to determine when two angles are congruent, or equal. This rule states that two angles are congruent if they are both angles of a triangle and they share the same side or vertex. This rule is a part of the Angle-Angle-Side (AAS) theorem, which states that three angles and three sides of one triangle are equal to three angles and three sides of another triangle.
To prove this congruence rule, we need to use the Side-Angle-Side (SAS) congruence theorem. This theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent. This theorem can be used to prove the AAS congruence rule, as it states that if two angles and the included side of a triangle are congruent to the corresponding parts of another triangle, then they can be used to form two sides and the included angle of a new triangle, which satisfies the conditions of the SAS congruence theorem. Therefore, the two triangles are congruent, proving the AAS congruence rule.
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The dimensions of the rabbit pen (formerly the garden) are 7 yards by 8 yards. When will Claire run out of room for her rabbits? Explain.
Answer:
112
Step-by-step explanation:
The average rabbit is about 18 inches or 1.5 feet in length so once you find out how many square feet are in the pen then you divide that number which is 168 by 1.5 to get 112
Find the surface area of each figure. Round to the hundredths place when necessary.
Answer:
SA = 997.88 mm²
Step-by-step explanation:
height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36
height = √243.36 = 15.6
SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)
SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²
Find the area of the shape shown below.
Answer:
55 units²
Step-by-step explanation:
square = 25
triangle = 30
both = 55
Plzzz can someone help me out???
One clay brick weighs 5.4 pounds. The brick is 4 inches long and 2 1/ 4 inches wide. If the clay weighs 0.02 pounds per cubic inch, what is the volume of the brick? Round your answer to the nearest integer.
Answer:
270 cubic inches
Step-by-step explanation:
Given :
Mass of the clay brick = 5.4 pounds
Density = 0.02 pounds per cubic inch
Length of the brick = 4 inch
Width = [tex]$2\frac{1}{4}$[/tex] inch
We know, density = mass / volume
Or Volume = mass / density
= 5.4 / 0.02
= 270 cubic inches
Therefore, the volume of the brick is 270 cubic inches.
PLEASE HELP!!!!!!!!!!!!!!!!!
Answer:
It is the fourth graph the line that is short and goes off the page
Step-by-step explanation:
Lola spends one-fourth of her monthly salary on her car payment. She spends $250 on her car payment. Write and solve an equation to determine Lola's monthly salary.
Answer:
$24 is her allowance. 1/3 of her allowance is $8. So you would multiply 8 times 3 because 8 is just 1/3 of her allowance and you want to find her total weekly allowance. 8 x 3 = 24
Step-by-step explanation:
I’m practicing for my test and I’m confused, can you guys help?
9514 1404 393
Answer:
y = 170 -3x
Step-by-step explanation:
The marked angles are called "same-side interior angles", or "consecutive interior angles" because they are between the parallel lines and on the same side of the transversal. Such angles are supplementary.
y + (3x +10) = 180
y = 180 -(3x +10) . . . . . subtract everything on the left that is not y
y = 170 -3x . . . . . . . . . simplify
PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answer:
States sent representatives to Congress and provided soldiers and some officers to protect the country.
1. Write the absolute value inequality in the form x−b≤c or x−b ≥c that has the solution set −1≤x≤3.
2.Write the absolute value inequality in the form x−b≤c or x−b≥c that has the solution set x≤−9 or x≥−5.
WILL BE MARKED BRAINLEIST!
Answer:
1. We want to write an equation in the form:
Ix - bI ≤ c
Such that the solutions are the range −1 ≤ x ≤ 3
First, the extremes of the range are: - 1 and 3
Half of the difference between these values is:
m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2
Now let's go to the lower extreme, and add this value, we get:
-1 + m = -1 + 2 = 1
(if we go to the upper value and we subtract m, we get the same)
This is the mid-value of the solution interval, and we will define it as M
We now can write the absolute value inequality as:
I x - MI ≤ m
In our case, we get:
Ix - 1I ≤ 2
2.
Now we want to have the solution set given by:
x ≤ -9
x ≥ -5
In this case, we will have an equation of the form:
Ix - MI ≥ m
(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).
So let's do the same than in the above case:
m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2
M = -9 + 2 = -7
Replacing these in the absolute value inequality we got:
Ix - (-7)I ≥ 2
Ix + 7I ≥ 2
what's 80/100 times $90
Answer:
72
Step-by-step explanation:
Well to make life easier just simplify the fraction
80/100 could be simplified to 4/5
4/5*90 is 72
Answer:
72
Step-by-step explanation:
What is the constant term in the expression 8xy − 9x2 y − 5x + 6? (5 points)
−9
−5
6
8
Answer:
6
Step-by-step explanation:
i took the test and got it right
Kaysha's aunt gave her $5,500 when she was born. Her parents invested it at a rate of 4% interest rate compounded annually. No deposits or withdrawals were made. How much money will Kaysha have when she turns 18 years old?
O D) 96
10) What is the value of the expression 16 + 24 = 2^3x3 - 8
1 point
A) 7
B) 9
C) 17
D) 20
1 point
ncion is equivalent to b+b+b+b? *
Indicate the answer choice that best completes the statement or answers the question Refer to the table that shows the highway fuel economy of various popular vehicles. Fuel Economy (Miles per Gallon) 48 25 35 34 33 37 32 34 23 30 Determine the mean absolute deviation. Round to the nearest hundredth a. 4.5 miles per gallon 33.5 miles per gallon b. 34 miles per gallon d. 33.1 miles per gallon
Answer:
d) 33.1 miles per gallon
Step-by-step explanation:
Mean = sum/ number
Mean= (48+25+35+34+33+37+32+34+23+30)/10 = 33.1
Help me with this please
Answer:
.23
Step-by-step explanation:
Solve for x . x/2 + 1.1= -2.1
Answer: x = 1.6
Step-by-step explanation:
Start by Identifying what you need to keep, in this case that would be X. In order to solve for x, you would need to get rid of any co-efficients. (example: +1.1) To get rid of them, you have to do the opposite action of what it's doing to the equation. (subtraction)
1.1- (-2.1) = 3.2 (if you subtract a negative, it turns positive/ you add) leaving you with x/2 = 3.2.
Now that we have our coefficient out the way, we have to get rid of the division so we can only solve for x. We do that by dividing the remainder of the equation by 2
3.2/2 = 1.6
Leaving us with the answer, x = 1.6
If marco buys a shirt for $45.20 and has a discount of 30% what is the new price of the shirt?
How do you know which number is the largest when you compare integers?
Answer:
Step-by-step explanation:
Lets take 4905 and 802
Firstly to figure out which of these two numbers is bigger we first look at the highest place value that either one of these two numbers have
In this case its 4 in the thousands place in the number 4905
Next we look at which number 802 has in the thousands place
In this case there is no number or 0
4 is bigger than 0 so we know that 4905 is bigger than 802
Lets take another example
4905 and 8204
Here both numbers have a number in the thousands place on is 8 and the other is 4
8 is bigger than 4 so 8204 must be larger
I'm just saying comparing integers should come very easily and you really don't need to think much to figure this out
I'm guessing you mean how do you compare numbers which are non-integers like 4/6 or 4/5 and this is quite easy
There are multiple ways but one method is to just multiply the denominator of one fraction with the numerator of the other and do the same for the other fraction
lets take 4/6 and 4/5
4*5=20
and 4*6= 24
4/6 we can assign 20
and 4/5 is 24
the bigger number is 24 so 4/5 is bigger
In one day, a book store earned $189 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the next day, it earned $146 in sales for 3 copies of the cookbook and 4 copies of the science fiction novel. What was the price of each book?
Use the circle below to find the correct value of x:
Answer:
113°
Step-by-step explanation:
Measure of central angle is equal to the measure of its corresponding arc.
Here, x is the measure of the central angle and 113° is the measure of its corresponding arc.
Therefore, x = 113°
Can someone help me please
Answer:
Choice C) area = 15.75 ft²
Step-by-step explanation:
area = 3.5 x 4.5 = 15.75 ft²
Help whit number 6 please! Really fast !!
Answer:
0 and 4
Step-by-step explanation:
find m
please help me
Answer:
∠ADE = 59°
Step-by-step explanation:
4x + 15° + 13x + 7° = 90°
combine like terms:
17x + 22° = 90°
subtract 22° from both sides of the equation:
17x = 68°
divide both sides by 17:
x = 4
∠ADE = ∠CBD = 13(4) + 7 = 59°
Answer:
m∠ADE = 59°Step-by-step explanation:
m∠ADE is the same as m∠BCE, so
m∠ADE = (13x+7)°
In rectangle all angles are 90°, so:
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 90 - 22
17x = 68
x = 68÷17 = 4
Therefore:
m∠ADE = (13×4+7)° = 59°
What is the area of the polygon?
Answer:
52 cm²
Step-by-step explanation:
8×5=40
3×8=24
24÷2=12
40+12=52
52 cm² or 52 sq cm
How do I solve this equation? I don’t understand it
Answer:
12 feet or 8 feet
Step-by-step explanation:
id
Answer:
so the h=16
Step-by-step explanation:
so how it works is by writing it as a fraction so we know that 4/6=h/24 and are we able to go from 6 to 24, we multiply it by 4, so just multiply it, sometimes you have to divide
PLEASE HELP ME PLEASE??
Answer:
Table A is correct
Step-by-step explanation:
All you have to do is multiply the hours by 5 to get the answer.
Table B is adding not multiplying.
Can I please have BRAINLIEST?
Can someone help only answer if you know and scam links are getting reported
Answer:
12 cubic centimeter blocks are in the bottom layer
If I have the letter x after a number, what does it mean?
Ex. 20x = 5
Answer:
It means that 20 times x is 5
also the answer to that problem (20x=5) is 1/4
Step-by-step explanation:
20x means
20 * x
and since 20 * x = 5
divide 5 and 20
5/20 = 1/4
select the statement that does not correctly use probability to describe an event
Answer:
a
Step-by-step explanation:
Probabilty usally ends in a %
if probability of a coin landing on heads is 50% and if and
a doesnt describe probability which is why a should be the anwser
though d says 120% the person running the race has full convidence describing themselves that they will win
a doesnt describe any probability it just says 1!! but thats why a is the anwser because its inncorrect!