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harina [27]
3 years ago
15

Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are

alternate interior ∠s 2. definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent 4. AC ≅ AC 4. reflexive property 5. △CAD ≅ △ACB 5. SAS congruency theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7. parallelogram side theorem What is the missing reason in step 6? SSS congruency theorem CPCTC definition of a parallelogram opposite sides in a parallelogram are congruent
Mathematics
2 answers:
IrinaVladis [17]3 years ago
6 0

Answer:

Because in the previous step we proved that two triangles were congruent, the answer is CPCTC.

irinina [24]3 years ago
4 0

Answer:

The answer is CPCTC because we already proved it in the perious steps

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O MULTIPLE CHOICE QUESTION What should the graph look like for: x <3​
joja [24]

if you have a graphing calculator (i use a website called desmos) put in x < 3. i attached a photo of what the graph should look like. the shaded area is where the solutions are. since the shaded area ends with a dotted line, points on that dotted line are <u>not</u> part of the solution.

i hope this helps! sorry i couldn't give a more descriptive explanation... it's pretty much all in the picture lol. have a lovely day! <3

8 0
3 years ago
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I need help with box and whisker plots ASAP
bonufazy [111]
Box and whiskers plots use five number summaries. The first number is:
1:Minimum
2.Quartile 1
3.Mean
4.Quartile 2
5.maximum

Quartile are simple to get.
If your set of numbers is:
2,3,3,6,8,8,11
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2 3 3 |6| 8 8 11
Find the mean of the left side of of mean.
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8 0
3 years ago
What is the discontinuity of the function f(x)=x^2-3x-28/x+4?
Hitman42 [59]

Answer:

Option D is correct that is (-4,-11).

Step-by-step explanation:

We have been given an expression:

f(x)=\frac{x^2-3x-28}{x+4}

We need to find the points of discontinuity

We will first factorize the given expression

\frac{x^2-7x+4x-28}{x+4}

\Rightarrow \frac{x(x-7)+4(x-7)}{x+4}

\Rightarrow \frac{(x+4)(x-7)}{x+4}

Hence, the point of discontinuity is where denominator gives value zero

So, x+4=0\Rightarrow x=-4

Point of discontinuity is -4

hence, after removing the point of discontinuity the function left is:

f(x)=x-7

Hence, put x=-4

f(-4)=-4-7=-11

Therefore, option D is correct that is (-4,-11).

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3 years ago
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This is a function .................
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