Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS?
Answers
The missing piece of information is ∠C ≅ ∠C′
How to determine the missing piece?From the figure, we have:
AB ≅ A'B'
<B ≅ <B'
The above means that:
Sides AB and A'B' are congruentAngles B and B' are congruentThe congruence theorem is given as:
AAS --- Angle Angle Theorem
i.e.
Two corresponding angles and one corresponding side are congruent
Since a congruent side and a congruent angle have been given;
We need a congruent angle to complete the piece
In this case, we have:
∠C ≅ ∠C′
Hence, the missing piece of information is ∠C ≅ ∠C′
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Related Questions
Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel
Answers
Answer:
I think it's 40 . I'm not sure
Answer:
0.6 liter per kilo
Step-by-step explanation:
Chris buys 5 apples for $2.60 .How much does one apple cost
Answers
Answer:
.52¢
Step-by-step explanation:
One apple cost 52 cents. The expression below represents the cost of an apple.
5a =2.60
5a/5= 2.60/5
a =0.52
Answer:
Each apple costs $0.52.
Step-by-step explanation:
Christ spent a total of $2.60 for 5 apples. We want to find the cost of one apple.
To find this: total cost/total apples
2.60/5 = 0.52
Each apple costs $0.52.
Let's check our answer.
If one apples costs $0.52, 5 apples should cost 0.52 • 5
0.52 • 5 = 2.60
This is how much Christ spent; therefore your answer is correct.
Hope this helps!
Find the interest and amount of Rs. 12500 for
5 years at the rate of 8% per annum
Answers
Answer:
Can't help you in this Question
Kindly check the attached image for solution
Which of these sets of numbers contains no rational numbers?
NEED ANSWER NOW!
Answers
Answer:
the first option
Step-by-step explanation:
for a number to be rational, it should be able to be expressed as a fraction. Non terminal decimals must have a repeating pattern. Square roots of random numbers aren’t rational. Just like the first rule with decimals, the third number cannot be expressed as a fraction
Answer:
Step-by-step explanation:
it’s the first one
Brain ordered 3 large cheese pizzas and a salad. The salad cost $4.95. If he spent a total of 47.60 including the $5 tip, how much did each pizza cost? ( assume there is no tax)
Answers
Answer:
Each Pizza will cost $12.55
Step-by-step explanation:
we first going to subtract the following
$47.60 - 5 - 4.95 = $37.65
$37.65 / 3 (the number of pizza ) = $12.55
$12.55
Step-by-step explanation:
Amount spent on 3 pizzas= Total —( amount spent on salad + tip)
=460—(4.95+5)
= $37.65
cost of each pizza= 37.65÷3
= $12.55
anyone can answered this question pls , I brainliest who answered I'll promise (Using Polygons) Math Subject Thank You!(:
Answers
Answer:
pentagon
Step-by-step explanation:
D = L ( m/k + v^2/25)
Make v the subject of the formula.
Answers
Answer:
Answer and steps in picture.
-m/k -m/k
25(D/L - m/k) = v^2/25(25)
Sqrt 25(D/L - m/k) = sqrt v^2
Sqrt 25(D/L - m/k) = v
Answer this question please ASAP
Answers
increase the mean
decreases the standard deviation
Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)
cos(θ)=
sin(θ)=
tan(θ)=
cos(ϕ)=
sin(ϕ)=
tan(ϕ)=
Answers
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
The value of the trigonometric ratios have been determined.
What are Trigonometric Ratios ?In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.
The side length of the triangle as given in the figure is 18 , 24 , 30
The value of the trigonometric ratios are
cos θ = Base / Hypotenuse
sin θ = Perpendicular / hypotenuse
tan θ = Perpendicular / Base
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Therefore the value of the trigonometric ratios have been determined.
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RM 74.97 is reduced for an item priced at RM 249.90. Find the percentage of a discount.
Answers
Answer:
249.90/74.97=.3
.30*100=30%
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
Answers
Answer:
The answer is C.[1,0]
Step-by-step explanation:
HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
How to calculate the midpoint of two coordinates?The midpoint is the middle of a line projecting from one end to another.
Given the parallelogram HIJK with the coordinate points
H(-2,2), I(4,3), J (4, -2), and K (-2, -3)
The diagonals are HJ and IK.
Determine the midpoint
M(x, y) = [(-2+4)/2, (2-2)/2]
M(x, y) = (2/2, 0/2)
M(x, y) = (1, 0)
This shows that HIJK is a parallelogram because the midpoint of both diagonals is (1, 0), which means the diagonals bisect each other.
Learn more on midpoint of coordinates here: https://brainly.com/question/18315903
Kylie is a psychologist who studies memory. She wants to see whether background music affects memorization.
Kylie randomly sorts 40 subjects into two groups. The 20 subjects in one group are given five minutes to memorize a list of words while background music is playing. The 20 members of the other group perform the same task without any background noise. Afterward, Kylie records how many words from the list each subject could remember.
Words memorized with background music
92914927282011132325162226141421131812
Mean: 18.2 words
Words memorized without background music
2824282427261371512276292022262220179
How much lower is the average for the treatment group than the average for the control group?
Answers
Answer:
14,96
Step-by-step explanation:
Helpppppppppppp!!!!!!!!!!!
Answers
B: parallelogram
C: quadrilateral
I hope this helps
Which is the number that gives 240 when added to its own square?
Answers
Answer:
15
15 when added to it's square gives 240
what is the value for θ: sin (θ+20) = cos θ
Answers
Answer:
Step-by-step explanation:
When two graphed lines are Parallel what kind of solution is it?
Answers
Answer:
When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answers
Answer:
2√3
Step-by-step explanation:
Given the following information,
Long = 3 = Adjacent
Angle of elevation =30 degrees
Required
Hypotenuse
Using SOH CAH TOA identity
Cos theta = adj/hyp
Cos 30 = 3/hyp
hyp = 3/cos30
hyp = 3/√3/2
hyp = 3* 2/√3
hyp = 6/√3
hyp = 6/√3 * √3/√3
hyp = 6√3/3
hyp = 2√3
Hence the hypotenuse is 2√3
Answer:
2v3
Step-by-step explanation:
Help me to convert the following to redian (1) 300° (2)18° (3) 105°
Answers
Answer:
(1) 5.23599
(2) 0.314159
(3) 1.8326
Factor this expression. 3x² - 6x O A. 3x(x - 2) B. 3x(x2 - 2) O C. 3(x-2) D. 3072 - 2)
Answers
Answer:
A. 3x (x-2)Step-by-step explanation:
Question:To factorise
3x² - 6x
Solution:3x² - 6x
[Taking common term out]
= (3x × x) - (3x × 2)
= 3x ( x - 2)
Result:Hence, factorised answer of 3x² - 6x is 3x (x-2) (Ans)
Simplify: (-5x + 7) - (x2 – 3x +2)
Answers
Answer:
-x^2-2x+5
Step-by-step explanation:
-x2 - 2x + 5 = -1 • (x2 + 2x - 5)
Factoring x2 + 2x - 5
The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 1 • -5 = -5
Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is 2 .
-5 + 1 = -4
-1 + 5 = 4
Observation : No two such factors can be found !!
-x2 - 2x + 5
help, please will give Brainliest
Answers
9514 1404 393
Answer:
A. 57 7/9 ft³
Step-by-step explanation:
The volume of a rectangular prism (cuboid) is the product of its dimensions.
V = LWH
V = (4 1/3 ft)(3 1/3 ft)(4 ft)
If you drop the fractions, this becomes ...
V = (4 ft)(3 ft)(4 ft) = 48 ft³
You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.
__
If you feel the need to compute the volume exactly, you can do so using improper fractions.
V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³
If r = 2 and a6 = 96 find the first term of geometric sequence.
Answers
Answer:
3
Step-by-step explanation:
If r=2, that means that each term in the geometric sequence is multiplied by 2.
So, if r=2, and the sixth term in the sequence is 96, then simply divide by 2 until you get to the first term.
Which is 3.
Find the value of x plssssssss
Answers
Answer:
150 degrees
Step-by-step explanation:
Hi,
Since one of the angles is 30 degrees and this is a line, we know that 30 + u must equal 180 degrees.
30 + u = 180
Subtract 30 from 180 to find the value of u.
u is 150 degrees.
I hope this helps :)
Answer: 150 degrees
Step-by-step explanation:
A line is 180 degrees in total, since that acute angle is 30 degrees you just subtract 30 from 180, which gives you the other side ( which has to equal 180) of 150 degrees. If it were 40 degrees ( instead of 30) it would be 140 degrees on the other side.... etc
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
Answers
Answer:
[tex]x \leqslant - \frac{1}{2} [/tex]
I DONT KNOW THIS CAUSE ITS TOO HARD ( if brainly says in am in collage I AM NOT i am in Middle school)
Answers
Answer:
217.5
Step-by-step explanation:
Answer:
The answer is 2700 i think
Step-by-step explanation:
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
Answers
4y > 20 divide both sides by 4
y > 5
-2y > -2 divide both sides by -2 (the order changes)
y < 1
(-oo, 1) ∪ (5, oo)
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times
Answers
Answer:
[tex]\frac{1}{25} =0.04[/tex] (Unusual)
Step-by-step explanation:
1/5 for one drawing
1/5 chance to win once, if there is only one game.
Then multiply them together to get 1/25.
If you need in decimal form 1/25 = 0.04 (unusual)
If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
What is Permutation and Combination ?
A permutation is an act of arranging the objects or numbers in order.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
An individual can win a prize by drawing the highest numbered card out of five cards.
Given that an individual makes 7 draws
p = 1/5 = 0.2
q = 1-P =0 .5
5 times corresponds to B( 7 , 0.2)
P(x = 2) = 7 C₂ (0.7)² (0.8)⁵
= 21 * 0.04 * 0.3277
= 0.2753
Therefore If an individual makes seven draws, what is the probability the individual will win a prize exactly two times is 0.2753
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a sweater originally priced at $79 is marked down 20%. What will the sales piece be?
Answers
Answer:
$63.20
Step-by-step explanation:
first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.
79•0.2= 15.8
so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price
$79-$15.8= $63.20
hope this helps chu <3
solve this question 5/8÷15/16=?
Answers
Answer:
Hellou our answer is 2/3
Step-by-step explanation:
5/8 ÷ 15/16 = 2/3
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
What is the Area of Triangle RST? Round your answer to the nearest tenth. *
Answers
Answer:
Step-by-step explanation:
Answer:
88.5
Step-by-step explanation:
formula = ab ×(sin∅)/2
= 18×12 × (sin 55)/2
= 88.5