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4 years ago

8

Change 219/10 to a whole or mixed number

1 answer:

sergij07 [2.7K]4 years ago

4 0

Divide 10 into 219

10 x 21 =210

that leaves 9/10 left over

answer 21 9/10

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Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:

Damm [24]

Part A: A pair of similar triangles is triangle DEF and triangle GFD.

Part B: Traingle DEF ~ triangle GFD by the AA Similarity Theorem

Part C: By applying the Leg Rule, the length of segment ED = 4 units.

<em><u>Recall:</u></em>

Based on the Angle-Angle Similarity Theorem (AA) two triangles that have two pairs of congruent triangles can be proven to be similar to each other.
In a right triangle where the altitude intersects the hypotenuse, the Leg Rule applies, which is: Hypotenuse/Leg = Leg/Part

The Figure of the given triangle DEF is shown in the attachment below.

<em><u>Part A: A Pair of Similar Triangles</u></em>

A pair of similar triangles are traingle DEF and triangle GDF

<em><u>Part B: Reason for Similarity</u></em>

Triangle DEF and GDF have two pairs of congruent angles, ∠EDF ≅∠DGF and ∠EFD ≅∠GFD.

Therefore, based on the AA Similarity Theorem, Traingle DEF ~ Triangle GDF.

<em><u>Part C: Length of Segment ED</u></em>

Given the following,

EF = 8 (Hypotenuse)
EG = 2 (Part)
ED = ? (Leg)

Thus:

8/ED = ED/2 (Leg Rule)

Cross multiply

ED² = (8)(2)

ED² = 16

Find the square root of both sides

ED = 4

Learn more about AA Similarity Theorem on:

brainly.com/question/24147586

5 0

3 years ago

Which is greater, the mass of a proton or the mass of an electron? Explain.

GenaCL600 [577]

Answer:

Protons and neutrons have approximately the same mass, but they are both much more massive than electrons (approximately 2,000 times as massive as an electron). The positive charge on a proton is equal in magnitude to the negative charge on an electron.

Step-by-step explanation:

8 0

3 years ago

Expand the following: 1/3(6/5x-3)

Strike441 [17]

<span>x in (-oo:+oo)</span><span>

(1/3)*((6/5)*x-3) = 0</span><span>

1/3*(6/5*x-3) = 0</span><span>
( 1/3 )</span><span>

1/3 = 0</span><span>

x belongs to the empty set</span><span>

( 6/5*x-3 )</span><span>

6/5*x-3 = 0 // + 3</span><span>

6/5*x = 3 // : 6/5</span><span>

x = 3/6/5</span><span>

x = 5/2</span><span>

x = 5/2</span>

7 0

3 years ago

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What is the unit price for 12 apples for $3.12?

Zigmanuir [339]

Answer:

The answer would have came out of 3.84615384615

Then round up the answer to 3.85. So the unit price is $3.85

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3 years ago

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A gardener made a scale drawing of a lawn with a scale factor of 1:4 The dimensions of her drawing are 15 inches long by 10 inch

dimulka [17.4K]

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3 years ago

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