Which condition is sufficient to show that quadrilateral DEFG is a parallelogram?

Mathematics

1 answer:

Whitepunk [10]3 years ago

4 0

Answer:

Option D

∠GDE is supplementary to ∠DEF and also supplementary to ∠FGD

Step-by-step explanation:

To use the supplementary property to identify a parallelogram. The condition must be that that the same-side interior angles (consecutive angles) are supplementary.

Thus for parallelogram DEFG

D --------------------E

/ /

G---------------------F

Thus, we have it that the condition that is most sufficient to show that quadrilateral DEFG is a parallelogram is

∠GDE is supplementary to both ∠DEF and ∠FGD

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Select the appropriate technique with the problem you are looking for.

Alenkinab [10]

Answer:

A, B, C, D

Step-by-step explanation:

(A) Checking the Equal Variance Assumption, the appropriate technique to use is:

- The ANOVA (Analysis of Variance) F test

- Plot residuals against fitted values

(B) Checking the Normal Assumption, the appropriate techniques to use are:

- Test for Kurtosis & Skewness

- Kolmogorov-Smirnov Test

- Q-Q Plots (the graphical method) also known as Quantile Plot

- Do not use a histogram; it is not advisable

- The Ramsey Regression Specification Error Test; also called RESET

- The Davidson & MacKinnon J. Test

(D) Checking for dependent errors, the appropriate technique to use is:

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6 0

3 years ago

Murphy loves pistachio nuts. Every saturday morning, she walks to the market and buy some. Last week, she bought two pounds and

Alexxx [7]

Question is Incomplete, Complete question is given below,

Murphy loves pistachio nuts. Every Saturday morning, she walks to the market and buys some. Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What the unit rate for pistachio nuts?

Answer:

The unit rate for pistachio nuts is $3.98.

Step-by-step explanation:

Given;

Price of 2 pounds of pistachio nuts = $7.96

We need to find the price of 1 pound of pistachio nuts.

To find the same we will use the unitary method,

Hence ,

Price of 1 pound of pistachio nuts = $\frac{\$7.96}{2} = \$3.98$