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2 years ago

Given: XZ bisects ZYXW and ZYZW Prove: AXYZ 2 AXWZ

Mathematics

1 answer:

Rudiy272 years ago

5 0

Answer:

Step-by-step explanation:

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What is the greatest common factor of 39, 42, and 33

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Answer:

The greatest common factor of 39, 42, and 33 is 3

Step-by-step explanation:

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3 years ago

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The king who retains power by tradition of allegiance ensures that a religious doctrine is enforced as government policy. Which

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3 years ago

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

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3 years ago

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Does anyone know the equation to this graph

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Answer: The equation of this graph can be written in slope intercept form which is what I am assuming you want. If you do not want that form you can convert to any other form that you so desire. The slope intercept equation for this graph would be y = -1x - 2. The -1 is the slope of the line and the -2 is the y intercept.

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noah saved $47 in june, $36 in july, and $27 in august. Then noah spent $18 on school supplies and $36 on new clothes. How much

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$56
47 + 36 + 27 = 110
110 - 18 - 36 = 56

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