PLEASE HELP GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
Word Bank:
ASA
SAS
BC=EF
BC=ED
Given
CPCTC
BC = EF
Answers
Answer for part A: Given
Answer for part B: Angle A = Angle D (not sure why this isn't in word bank?)
Answer for part C: ASA
Answer for part D: BC = EF
Answer for part E: CPCTC
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Explanations:
Part A:
AB = DE is given at the very top of the problem. So we simply say "given". We always repeat what we are given at the very start of the proof. You can see this for lines 1 through 3, which are repeating the three givens.
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Part B:
The three givens are:
AB = DE
angle A = angle D
angle B = angle E
the first and last of this trio is used (for statements 1 and 3 respectively). So the only thing left is "angle A = angle D"
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Part C:
We're using ASA (angle side angle) because we're given two pairs of congruent angles. The side for each triangle is between the two angles. See the attached diagram for more info.
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Part D:
For any proof, you will ALWAYS have the last statement be the thing you want to prove. In this case, we want to prove BC = EF.
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Part E:
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"
If the two whole triangles are congruent, then the smaller corresponding parts that make up the triangles must be congruent as well.
Related Questions
Arliss has two pieces of carpet runner. One is 2 1/3 yards long and the other is 3 1/3 yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?
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Find the multiplicative inverse, or reciprocal, of . 5 over 9
Answers
Final answer:
The multiplicative inverse or reciprocal of the fraction 5/9 is 9/5, which is the result of flipping the numerator and denominator.
Explanation:
The multiplicative inverse, or reciprocal, of a fraction is another fraction in which the numerator and denominator are flipped. For the fraction 5 over 9, the multiplicative inverse is found simply by reversing the numerator and the denominator, turning it into 9 over 5.
To illustrate this with an example, let's consider the fraction ½. The reciprocal of ½ is 2, as their product equals 1 (1/2 x 2 = 1). Similarly, the reciprocal of 5/9 will be such that (5/9) x (9/5) = 1.
Hence, the reciprocal of 5/9 is 9/5.
When can you carve out time to study each month or each week
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A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each chair? And can you please explain the process using substitution please? Thanks.
Answers
2t+7c=400
I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t
Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each
Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each
Hope this helps! :)
Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
15 out of 20 students own hand-help games;105 out of 160 own hand-held games
Answers
105 out of 160 is 105/160 = 0.656....
Which is the greater ratio?
What is the equation for the relationship
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Write the number in scientific notation: 60,000
Answers
6×10^4
We use 6 because the # has to be greater than or equal to 1 but less than or equal to 10.
10^4=10000
10000×6=60000
To write a number in scientific notation, first, write a decimal point in the number so that there's only one digit to the left of the decimal point.
Next, count the number of places the decimal point would need to move to get back to the original number.
The number of spaces to get back to the original number is the exponent.
Pine Bluff Middle School is having its annual Spring Fling dance, which will cost $400. The student treasurer reported that the dance fund has $ 75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.
Answers
400 - 75 = 325
Then you divide 325 by the price of the tickets 4, for the number of tickets needed
325/4= 81.25
Since you can't sell a quarter of a ticket, 81.25 is rounded up to 82
x ≤ 82
Explain how you can use a straight edge and a compass to construct an angle that is both congruent and adjacent to a given angle
Answers
2/3 + 1/4 + 4/8= Please help do next day. 50 points
Answers
2/3 + 1/4 + 4/8 =
find least common denominator and rewrite the fractions
lets use 24: 24/3 = 8, 24/4 = 6, 24/8 = 3
so 2/3 = 16/24
1/4 = 6/24
4/8 = 12/24
now add them together:
16/24 + 6/24 + 12/24 = 34/24 which becomes 1 and 10/24 reducing to 1 and 5/12
8.5+4(1-2.5k)=24.5 round to the nearest hundredth
Answers
Your question:
8.5 + 49(1-2.5k)=24.5
My answer:
8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute
8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.
12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides
-10k = 12 >>>>>>>>> finally, divide -10 on both sides
k = -1.2
Hope this helps you!
8.5+4(1-2.5k)=24.5
1st step: subtract 8.5 from both sides
4(1-2.5k)=24.5-8.5
4(1-2.5k)=16
2nd step: Divide both sides by 4
(1-2.5k)=16/4
(1-2.5k)=4
3rd step: Opening up the parentheses
1-2.5k=4
4th step: Subtract 1 from both sides
-2.5k=4-1
-2.5k=3
4ht step: divide both sides by -2.5
k=-1.2
solve for x 9x>-18 answer must be simplified
Answers
9x > -18
to this
x > -2
On the left side the 9x becomes 9x/9 = 1x = x
on the right side we have -18/9 = -2
Answer is x > -2
State whether the graph of each linear relationship is a solid line or set of unconnected points explain your reasoning the relationship between the number of $12 DVDs you buy and the total cost
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Simplify. 4 + 3(10 - 23) A) 8 B) 10 C) 11 D) 12
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4 - 39
-35
In his will, Mr. Adams left 25% of his estate to his wife and unevenly divided the balance between his son and his daughter.If the son received $36,000 as his share, what was the total value of the estate?
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WILL GIVE BRAINLIEST!
Find the slope of the line shown below.
A) -2
B) 2
C) -1/2
D) 1/2
Answers
-5
Thus, the "run" is 2.5 and the "rise" is -5. The slope is then m = ------
2.5
or m = -2 (answer).
A store manager ordered 402 baseball caps and 122 ski caps estimate the total number of. Apps the manager ordered
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Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction? 0.3¯
Answers
Fraction of the repeating decimal 0.3¯ = 3/9 = 1/3
Thus the answer is 1/3.
and if you divide 1/3, yo can check on calculator that we get 0.33333333.... that is repeating decimal.
The repeating decimal as a fraction can be represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]
A repeating decimal is known to be a continuous decimal expressing a number with an indefinite reoccurring part after the decimal point that is not zero.
From Farrah's math grade average score of 93.3%;
the repeating decimal in bold form is 93 + 0.3[tex]\mathbf{= \dfrac{3}{9}} \\ \\ = \mathbf{\dfrac{1}{3}}[/tex]
Check:
[tex]\mathbf{\dfrac{1}{3}}}[/tex] in decimal results into a repeating decimal 0.33333333
Therefore, we can conclude that repeating decimal as a fraction is represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]
Learn more about fractions here;
https://brainly.com/question/6201432?referrer=searchResults
Help! Eugene wants to buy jeans at a store that is offering a $10 discount on every item.the tag on the jeans is marked 50% off.the original price is $49.98.find the final cost if the 50% percent discount is applied before the $10 discount. B .find the final cost if the $10 discount is applied before the 50% discount
Answers
B)so first you have it discounted by 10 dollars so the jeans cost 39.98(49.98-10). Now discount it again by 50% and you get 19.99(39.98/2).
Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?
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Sister = 14
arrange the following polynomial into descending order and identify the 3rd term -19x^2+2+4x^3-7x
a. -19x^2
b.2
c.4x^3
d.-7x
Answers
-19x^2 + 2 + 4x^3 - 7x = 4x^3 - 19x^2 - 7x + 2
third term is -7x
How do you solve the system of linear equation by multiplying?
5x - 2y = 11
3x + 5y = 19
Answers
5x=11+2y X=15#5
X=(11+2y)#5 X=3
3x+5y=19
3•(11+2y)#5+5y=19
(33+6y)#5+5y=19
(33+6y+25y)#5=95#5
33+31y=95
31y=62
Y=2
#significa divisão
•significa multiplicação
The solution set for the system of equations is (3, 2).
What is system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is the system of equations -
5x - 2y = 11
3x + 5y = 19
Multiply Eq.{1} by 3 and Eq.{2} by 5, we get -
15x - 6y = 33
15x + 25y = 95
Now, performing Eq(2) - Eq(1), we get -
15x + 25y - 15x + 6y = 95 - 33
31y = 62
y = 2
x = 11 + 2y/5
x = 15/5
x = 3
Therefore, the solution set for the system of equations is (3, 2).
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brainly.com/question/30098550
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Order the numbers from least to greatest 7.8 7.88 7.78 7.87 7.77
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3x+2y=11 , x+3y=11 substitute
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What is 5 5/8 + 6 1/4
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Why can I not subtract this pls help
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25.00 - 12.75 = 12.25
12.25 - 8.50 = 3.75
write 3x+(2-4x) in standard form
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I think the answer would be -1 + 2
a student teacher rectangular desk is 30 inches long and 18 inches wide the teachers desk is similar to the student desk and has a length of 50 inches what is the width of the teachers desk ?
Answers
Simplify:
Solve for x.
50*3=5*x
x=30. in.
Hopefully this is correct, if not them sorry, Have a nice day~Nana!~
The coordinates of quadrilateral EFGH are E(4, 8), F(1, 2), G(6, 1), and H(8, 8). The image of EFGH under dilation is E'F'G'H'.
If the coordinates of vertex E' are (1, 2), what are the coordinates of vertex H'?
No pic is attached
A) (2, 8)
B) (5, 6)
C) (2, 2)
D) (4, 8)
Answers
E goes from (4,8) to (1,2) which equals a 1/4 scale factor ( put lower number over higher number so X = 1/4 and Y = 2/8 which reduces to 1/4)
so H needs to be reduced by 1/4
8/4 = 2
so new coordinate is (2,2)
Answer is C
The length of a rectangle is 5cm more than its width. The perimeter of the rectangle is 46cm. Find the width and the length
Answers
The width of the rectangle is 9 cm, and the length is 14 cm.
Explanation:To find the width and length of the rectangle:
Let's assume that the width of the rectangle is x cm. According to the problem, the length of the rectangle is 5 cm more than its width, so the length would be x + 5 cm.
The perimeter of the rectangle is 46 cm. The formula for the perimeter of a rectangle is P = 2(w + l), where P is the perimeter, w is the width, and l is the length.
So, we can set up the equation: 46 = 2(x + (x + 5)).
Simplifying the equation gives us: 46 = 2(2x + 5).
Expanding the equation further gives us: 46 = 4x + 10.
Subtracting 10 from both sides of the equation gives us: 36 = 4x.
Dividing both sides of the equation by 4 gives us: x = 9.
Therefore, the width of the rectangle is 9 cm, and the length is 9 + 5 = 14 cm.
To find the width and length of the rectangle, set up an equation using the given information and solve for x. The width is 9 cm and the length is 14 cm.
Explanation:To solve this problem, we can set up an equation using the information given. Let's assume the width of the rectangle is x cm. Since the length is 5cm more than the width, it will be x + 5 cm. The perimeter of a rectangle is found by adding all its sides, so we have:
2(x + x + 5) = 46
Simplifying this equation gives us:
4x + 10 = 46
Subtracting 10 from both sides:
4x = 36
Dividing both sides by 4:
x = 9
Therefore, the width of the rectangle is 9 cm and the length is 9 + 5 = 14 cm.