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Rom4ik [11]
2 years ago
12

The figure below shows a rectangle ABCD having diagonals AC and DB: A rectangle ABCD is shown with diagonals AC and BD. Jimmy wr

ote the following proof to show that the diagonals of rectangle ABCD are congruent: Jimmy's proof: Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent) Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°) Statement 3: Statement 4: Triangle ADC and BCD are congruent (by SAS postulate) Statement 5: AC = BD (by CPCTC) Which statement below completes Jimmy's proof? AB=AB (reflexive property of equality) AB=AB (transitive property of equality) DC=DC (reflexive property of equality) DC=DC (transitive property of equality)
Mathematics
2 answers:
yaroslaw [1]2 years ago
5 0

Answer:

C. DC = DC. By reflexive property of equality.

Step-by-step explanation:

We are given that,

In step 4, Jimmy proved ΔADC ≅ ΔBCD by the SAS Congruence Postulate.

For that, the previous steps states,

Step 1: AD = BC, as opposite sides of a rectangle are congruent.

Step 2: ∠ADC = ∠BCD

So, in order to satisfy the SAS Postulate, we must have another pair of sides equal from the respective rectangles.

As, we can see that in ΔADC and ΔBCD, the side DC is a common side.

Thus, in the missing step, we get,

Step 3: DC = DC, By the reflexive property of equality.

Hence, option C is correct.

ziro4ka [17]2 years ago
5 0

Answer:

C. DC = DC. By reflexive property of equality.

Step-by-step explanation:

Just took the quiz, and got this as the correct answer.

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Nonamiya [84]

Answer:

Option C. Yes; y=2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so

In this problem

For x=0, y=0

That means ----> the line passes through the origin

<em>Find the value of k</em>

For x=2, y=4

k=\frac{y}{x} ----> k=\frac{4}{2}=2

For x=4, y=8

k=\frac{y}{x} ----> k=\frac{8}{4}=2

The values of k are equal

therefore

The table represent a direct variation

The equation is equal to

y=2x

5 0
3 years ago
Use 3.14 on all questions on this text that use pi.
alexira [117]

Answer:

V_{cylinder}=3584\pi \thinspace yd^3

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

V_{cylinder}=\pi r^2 h

We're given that the radius=8 and height=56

V_{cylinder}=\pi r^2 h

V_{cylinder}=\pi (8)^2 (56)

V_{cylinder}=3584\pi \thinspace yd^3

6 0
3 years ago
Communicate mathematical ideas why might you want to use the commutative property to change the order of the integers in the fol
Kruka [31]

I might want to use the commutative property to change the order of the integers in the following sum before adding the given expression

"-80 + (-173)+(-20)"

As commutative property states that " Changing the order of addends does not change the sum" which means if we add 'a' to 'b' or 'b' to 'a', we will get the same answer.

Therefore, here if we add '-80' to '-173' or '-173' to '-80' , or if we add '-173' to '-20' or '-20' to '-173' , we will get the same answer.

Therefore, we might use commutative property to change the order the of integers in the following sum.

7 0
2 years ago
Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the pri
Nataly_w [17]
$284.99 - 4194.99 = $89.98
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p = $44.99 for each game.
3 0
3 years ago
What number is 10 times bigger than 30​
svlad2 [7]

Answer:

300

Step-by-step explanation:

10 x 30= 300

3 0
3 years ago
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