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2 years ago

Assume ABC DEF. If mA = 70 , mB = 47 , and mC = 63 , what is the measure of F? A. 63 B. 70 C. 47 D. Cannot be determined

Mathematics

2 answers:

Anna [14]2 years ago

8 0

Answer: Measure of <F is 63

Step-by-step explanation: -Apex

kipiarov [429]2 years ago

5 0

I'm assuming that the full statement is ΔABC is congruent to ΔDEF.

Given:
m∠A = 70
m∠B = 47
m∠C = 63

Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.

m∠D = 70
m∠E = 47
m∠F = 63

The measure of angle F is 63.

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Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

$Hypotenuse^2=Base^2+Perpendicular^2$

⇒ $5^2=3^2+4^2$

Let a, b, c forms a Pythagorean triplet

$a^2+b^2=c^2$

Multiplied by 4 on both sides

⇒ $4a^2+4b^2=4c^2$

⇒ ${2a}^2+{2b}^2={2c}^2$

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

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2 years ago

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2 years ago

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Anarel [89]

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2 years ago

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nikitadnepr [17]

Answer:

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Step-by-step explanation:

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