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3 years ago

Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?

Mathematics

2 answers:

abruzzese [7]3 years ago

5 0

It is the first answer.

KonstantinChe [14]3 years ago

5 0

Answer:

Step-by-step explanation:

From the figure, it is given that AB≅ED, BC≅CD and ∠CAD≅∠CEB.

Now, from ΔACD and ΔECB, we have

Statements Reason

1. AB≅ED, BC≅CD Given

2. ∠CAD≅∠CEB. Given

3. AB=ED, BC=DC Definition of congruent segments

4. AB+BC=AC and Segment addition postulate

ED+DC=CE

5. ED+DC=AC and Substitution property

ED+DC=CE

6. AC=CE Substitution property

7. AC≅CE Definition of congruent segments

8. ∠C≅∠C Reflexive property

9. ΔACD≅ΔECB ASA rule of congruency

Hence proved.

Hence, option A is correct.

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Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30.

Dennis_Churaev [7]

Answer:

The range is the difference between the biggest and smaller values of a set. The median is the middle value of a set. So we cannot say were the lowest score was found, comparing the median and ranges, because it could be that some repeated value very low or high is biasing the median, we could do it with the mean perhaps. So the proposal is false.

7 0

3 years ago

Read 2 more answers

Fill in the blank.

Marrrta [24]

Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

20 * 6

Step-by-step explanation:

Given

Expression 1: 23 * 6 = (20 + 3) * 6

Expression 2: 23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property; The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6

7 0

3 years ago

A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de

dmitriy555 [2]

We have that
triangle ABC coordinates
A (0,2) B(2,4) C(0,0)

triangle DEF coordinates
D (2,0) E ( 4,4) F (4,2)

using a graph tool
see the attached figure

therefore

Line 1 Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE
so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

Line 2 ∠A ≅ ∠F------> is correct

Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83

find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47

find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
the student make the first mistake in line 5

6 0

4 years ago

HELP ME PLZ I NEED HELP BAD

ElenaW [278]

Answer:

mode: 2

median: 3

range is 9

6 0

3 years ago

Read 2 more answers

Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de

Nimfa-mama [501]

Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a b since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b( )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses.

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.

6 0

4 years ago

Read 2 more answers