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3 years ago

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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Vaselesa [24]

To find the average, you have to add everything up and divide by the amount that you have. In this case, you need to add together 160.5, 165.75 and 152.25, and then divide by 3.
160.5+165.75+152.25= 478.5
You've then got to divide this by three.
478.5/3= 159.5
Therefore, the average hour worked each month bu the employee is 159.5
Hope this helps :)

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3 years ago

Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and th

kkurt [141]

Answer:

$\dfrac{\overline{RS}}{\overline{VU}}=\dfrac{\overline{ST}}{\overline{UT}}\quad\text{and}\quad\angle S\cong\angle U$

Step-by-step explanation:

To use the SAS similarity theorem, you must show proportionality between corresponding sides, and congruence of the angle between them.

The answer shown above is the only answer choice that mentions an angle.

<em>Comment on other choices</em>

Choice B shows the three sides are proportional, so would be useful if the SSS similarity theorem were to be invoked. It isn't helpful for the using the SAS similarity theorem.

Choices C and D get the proportion statements wrong.

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3 years ago

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horrorfan [7]

Answer:

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Step-by-step explanation:

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2 years ago

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Svetach [21]

.34 * 250 = g

34 * 2 + 34 * .5 = g

68 + 17 = g

85 = g

85 girls in all of 7th grade

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Answer:

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Step-by-step explanation:

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2 years ago

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