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3 years ago

In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?

Mathematics

2 answers:

Andre45 [30]3 years ago

5 0

AC would have to be equivalent to BD

N76 [4]3 years ago

3 0

Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel). B is our answer

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For the parallelogram find the value of x,y,and z

Nat2105 [25]

Answer:

X = 119, Y = 61, Z = 119

Step-by-step explanation:

These are supplementary angles and equal 180.

180 - 61 = 119

Opposite angles are congruent

5 0

3 years ago

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th

WARRIOR [948]

Answer:

$Weighted\ Average = 73$

Step-by-step explanation:

Given

$Lab = 21\%$

$Tests = 25\%$

$Exam = 29\%$

$Lab\ Score = 60$

$First\ Test = 81$

$Second\ Test = 69$

$Exam = 79$

Required

The weighted average

To do this, we simply multiply each score by the corresponding worth.

i.e.

$Weighted\ Average = Lab\ worth * Lab\ score + Tests\ worth * Tests\ score.....$

So, we have:

$Weighted\ Average = 21\% * 60 + 25\% * 81 + 25\% * 69 + 29\% * 79$

Using a calculator, we have:

$Weighted\ Average = 73.01$

$Weighted\ Average = 73$ --- approximated

4 0

3 years ago

Copy the incomplete axes and fill in the missing number so that the scaling is consistent.

juin [17]

Answer:

A: write0,4,8,12,16,20 on the line which the answer for A is 16 divided by 4=4

B: Write 0,25,50,75,100,125,150 on the line which the answer for B is 50 divided by 2= 25

5 0

3 years ago

A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%

OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

Step :- (i)

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

95% of confidence intervals

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )$

Step:-(ii)

The degrees of freedom γ=n-1 = 15-1=14

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

$(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )$

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

Conclusion:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0

3 years ago

When adding and subtracting numbers do you add and subtract the denominator

NNADVOKAT [17]

Answer:

No, you don't.

Step-by-step explanation:

The denominator only changes if you're multiplying/dividing. You may need to create an equivalent fraction to add the fractions together, but you don't add or subtract the denominator.

Hope this helps! Have a great day!

4 0

3 years ago

Read 2 more answers