Which congruence theorems can be used to prove AABR = AACR? Select three options.
A. HL
B. AS
C. SSS
D. ASA
E. AAS
Answers
Answers:
A) HL
B) SAS (I'm assuming you meant to say SAS instead of AS)
C) SSS
========================================================
Explanation:
The square angle marker tells us we have 90 degree angles. So these are right triangles.
Because we're dealing with right triangles, we could use HL which stands for "hypotenuse leg". The hypotenuse is AR for either triangle, and you could use either of these two pairs for the leg
AB = AC (one possible pairing), or,BR = CR (another possible leg pairing)-----------------------
The tickmarks tell us which sides are the same length. We can see that
AB = AC (single tickmark)BR = CR (double tickmarks)We also know that angle ABC = angle ACR because all right angles are congruent. These facts allow us to use SAS (side angle side). I'm assuming you meant to say "SAS" instead of "AS" for choice B.
-----------------------
SSS stands for "Side Side Side". It means if we know that three pairs of sides are congruent, then we can prove the triangles congruent overall.
The three pairs of congruent sides are:
AB = AC (single tickmark)BR = CR (double tickmarks)AR = AR (shared overlapped side; reflexive property)-----------------------
Side notes:
We can rule choice D out because we don't have enough info to use ASA. We would need info about another pair of congruent angles.Similarly, AAS can't be used either. We only have info about one pair of angles (not two). So we can rule out choice E.Related Questions
what is the distance between (-1, 2) and (3, 5)
Answers
Answer
the slope is 3/4 or .75
Answer:
The distance is 5 units.
Step-by-step explanation:
Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition
1) We are given 2 points --> (-1,2) and (3,5)
2) To find out the distance between both, we use distance formula.
This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].
3) For the points (-1,2) and (3,5):
-1 is x12 is y13 is x25 is y24) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]
5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]
6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]
7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.
Therefore, the distance between the 2 points is 5 units.
Hope you understood and have a nice day!! :D
Someone plz help me
Answers
Answer:
the answer would be 9 I think
Can you please help?
Answers
Answer:
what do you need help with
Solve. 15(20−10x)−8x>−6x−16
Answers
Answer: x < 79/38
Step-by-step explanation:
Answer:
x<79/38
Step-by-step explanation:
Please help me!! If the area of square 1 is 250 units2, and the area of square 3 is 120 units2, what is the area of square 2? Explain your reasoning.
Answers
Answer:
130units²
Step-by-step explanation:
The question lacks the required figure. Find the figure attached:
Given
Area of square 1 = 250units²
Area of square 3 = 120units²
Area of a square = L²
L is the length of one side of the square
Get the length of each side of the square
For square 1
A1 = L1²
250 = L1²
L1 = √250
Get that of square 3
A3 = L3²
120 = L3²
L3 = √120
Required
Area of square 2
Before we can get the area of square 2, we need to get the side length using pythagoras theorem
L₂² = L₁² - L₃²
L₂² = (√250)²-(√120)²
L₂² = 250-120
L₂² = 130
Since the area of the square A is L₂² , then the required area is 130units²
can some one help me with this trigonometry problem?
CotA + cot(60+A)-cot(60-A)=3cot3A
how can i prove this ?
Answers
Step-by-step explanation:
Hope it will help you ❤❤
MARKING BRAINLIST Name the property of multiplication shown the equation (3 • x) • 8 = 3 • (x • 8).
Answers
Answer:
Assosiative because they are the same numbers with parenthesis.
Hope this helps!
I neeeeeed help RIGHT NOW
Answers
Answer:
A. Raheem
Step-by-step explanation:
it can't be any of the answers that have addition because -4 has to move up 8 spaces on the y axis to get to +4 and -2 needs to move up 4 spaces to get to +2 and you can only use 1 rule so A is correct
please give me brainliest
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
Here, we are to find the value of x
Applying the side splitter theorem, we have that;
10/30 = 2/x
Thus;
10 * x = 30 * 2
10x = 60
x = 60/10
x = 6
Helpppppp helpppppp helpppppp
Answers
Answer:
pp poopoo
Step-by-step explanation:
Answer:
Which one do I do? Some of the picture is cut off.
Step-by-step explanation:
Evaluate the following expression.
Let y = 4
and z = 2
8y + 12 - 2z
20
Pls help doing a test
Answers
Answer:
40
Step-by-step explanation:
y = 4
z = 2
8y + 12 - 2z
8(4) + 12 - 2(2)
32 + 12 - 4
44 - 4
40
Answer:
40
Step-by-step explanation:
Kyle has 1/2 of a sheet cake. He cut it in 5 pieces of the same size. What fraction of a sheet cake is each piece?
Answers
Answer: 1/10
Step-by-step explanation:
Kyle had 1/2 of a sheet cake.
He then cut this half that he had into 5 pieces of the same size.
The fraction of the sheet cake he has therefore is:
= 1/2 ÷ 5
= 1/2 * 1/5
= 1/10
Each piece was 1/10 of the sheet cake.
The question is in the picture!
Anserw if you are sure ! Please and thank you !!! I really need this!
Answers
Answer:
y = 1/5x
Step-by-step explanation:
can someone help me with this asap!!
Answers
Answer:
the answer is c
Step-by-step explanation:
because the value of y is the same but the value of x has different sign
Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140 g flour
5g butter
a
Simon makes 32 pancakes.
Work out how much milk he needs.
b)
Craig makes 20 pancakes.
Work out how much flour he needs.
GO
Answers
Answer:
A. 1,000 ml milk B. 3,500 g flour
Step-by-step explanation:
Divide: 250 divided by 8. You get 31.25.
Multiply: 31.25 times 32. You get 1,000
Divide: 140 divide by 8. You get 17.5
Multiply: 17.5 times 20. You get 3,500
Hope I helped!! :) Sorry if it's wrong! :(
....... Math practice
Answers
Last blank is 4
Yo look at how shiny this fish tank is..... I have to use this as a reference for math.
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Answer:
That is the shiniest fish tank I've ever seen!
please help:) thank youuuyy
Answers
9514 1404 393
Answer:
x = 8BF = 45Step-by-step explanation:
Using the given information, we have ...
BH = 2·HF
3x +6 = 2(2x -1)
3x +6 = 4x -2
8 = x
__
The length of the median is ...
BF = BH + HF
BF = (3x +6) +(2x -1) = 5x +5
BF = 5·8 +5
BF = 45
what is the angle relationship?
Answers
Answer:
alternative angle is the correct answer
A math club receives a 12% discount on calculators. If each calculator costs $15 before the discount, how much will the club spend on 60 calculators after the discount?
A. $108
B. $180
C. $792
D. $900
Answers
How much are 6 of these $40’s
Answers
Answer:
$240
Step-by-step explanation:
there are 6 sets of 2 $20's which make $40, so you'd multiply 40 by 6 them you'd get $240
A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.
Answers
Helpppppppppppppppppppppppppppppp again
Answers
Answer:
2
Step-by-step explanation:
the y intercept is at 2
Sylvia earns $7 per hour at her afterschool job. One week she worked several hours and received a paycheck for $91. Write and solve an equation to find the number of hours in which Sylvia would earn $91.
Answers
X = 13
Let x equal the amount of hours she worked at the job.
selling price=3430 and discount percentage=2 Percentage
Answers
Answer:
Market price = 3,361.4 (Approx.)
Step-by-step explanation:
Given:
Selling price = 3,430
Discount percentage =2 %
Find:
Market price
Computation:
Market price = Selling price [1-2%]
Market price = 3,430 (1-2%)
Market price = 3,361.4 (Approx.)
You want to buy a souvenir hat for $12.00. At the cash register, the sales clerk advises you that the total amount due, including tax, is $12.72. What is the sales tax (%) in this state?
Answers
Answer:
% English dictionary, words common to American and British
% spelling; must add one out of each of the pairs
% colour/color.dic
% labelled/labeled.dic
% centre/center.dic
% ize/ise.dic
% Extracted from US.dic and UK.dic, but with the 2 and 3 letter words
% of US.dic only.
% Patrick W. Daly 1998/05/19
% Update: 2000/03/02
% remove -yze and -yse words to yse.dic and yze.dic
% move advertise to here (is never advertize)
Step-by-step explanation:
Answer:
The sale tax in this state is 6%
Step-by-step explanation:
In order to find out the the sales tax we first have to create a fraction which has the difference between the price with taxes and without taxes, as its numerator, and the price without taxes as its denominator. So we do...
[tex]\frac{12.72-12.00}{12.00} = \frac{1272 - 1200}{1200} = \frac{72}{1200} = \frac{3}{50}[/tex]
Now we just have to find a fraction with the same value but with a denominator being 100. So in out case we do....
[tex]\frac{3}{50} = \frac{(3)(2)}{(50)(2)} = \frac{6}{100}[/tex]
Since we know that 1% is equal to [tex]\frac{1}{100}[/tex] we know that [tex]\frac{6}{100}[/tex] also means 6%. Therefore the answer is 6%
Can someone help me please
Answers
9514 1404 393
Answer:
24x = y^2-15y = x^228y = x^2-4x = y^28x = y^2-20y = x^2Step-by-step explanation:
There are two cases here. In one case, the focus has a non-zero x-coordinate, so the parabola opens left or right (depending on the sign). In the other case, the focus has a non-zero y-coordinate, so the parabola opens up or down (depending on the sign).
We can write the equations for each of the two cases.
For focus (a, 0), the equation can be written ...
4ax = y^2
For focus (0, a), the equation can be written ...
4ay = x^2
__
24x = y^2 . . . . first form-15y = x^2 . . . . second form28y = x^2 . . . . second form-4x = y^2 . . . . first form8x = y^2 . . . . first form-20y = x^2 . . . . second formFind the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.
Answers
Answer:
3x - 2y = 19
Step-by-step explanation:
y = mx + b
The slopes of perpendicular lines are opposite reciprocals:
[tex]m_{1}[/tex] [tex]m_{2}[/tex] = - 1
~~~~~~~~~~~~
2x + 3y = - 5
y = - [tex]\frac{2}{3}[/tex] x - [tex]\frac{5}{3}[/tex]
(3 , - 5 )
Slope of perpendicular line is [tex]\frac{3}{2}[/tex]
y - ( - 5) = [tex]\frac{3}{2}[/tex] (x - 3)
y + 5 = [tex]\frac{3}{2}[/tex] x - [tex]\frac{9}{2}[/tex]
y = [tex]\frac{3}{2}[/tex] x - [tex]\frac{19}{2}[/tex]
3x - 2y = 19
Point M is the midpoint of AB. The coordinates of point A are (-6, 2) and the coordinates of M are (-4, 2).
What are the coordinates of point B?
The coordinates of point B are
Answers
Answer:
B (-2, 2)
Step-by-step explanation:
The midpoint equation is:
[tex]x \frac{}{m} = \frac{x \frac{}{2} + x \frac{}{1} }{2} [/tex]
[tex]y \frac{}{m} = \frac{y \frac{}{2} + y \frac{}{1} }{2} [/tex]
Then:
[tex]x \frac{}{1} = 2x \frac{}{m} - x \frac{}{2} [/tex]
[tex]y \frac{}{1} = 2y \frac{}{m} - y\frac{}{2}[/tex]
[tex]x \frac{}{1} = 2( - 4) - ( - 6) \\x \frac{}{1} = - 8 + 6 \\ x \frac{}{1} = - 2[/tex]
[tex]y \frac{}{1} = 2(2) - 2 \\ y \frac{}{1} = 4 - 2 \\ y \frac{}{1} = 2[/tex]
6= 5r - 14
What are the steps you would use to solve the equation?
Answers
6 + 14 = 5r
20 = 5r
r = 4