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2 years ago

Which two theorems would justify that m∠4 = m∠6, given that m∠5 = m∠6 in the diagram below?

Mathematics

2 answers:

KonstantinChe [14]2 years ago

7 0

Answer:

Step-by-step explanation:

My name is Ann [436]2 years ago

4 0

Answer: D) vertical angles theorem, alternate interior angles theorem

Angle 5 = Angle 6 by the alternate interior angles theorem

Angle 5 = angle 4 by the vertical angles theorem

By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.

We won't use the angle addition theorem or the right angles theorem.

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If fx = 2x^2 + 3 and g(x) = x^2 - 7 find (f - g) (x)

Semmy [17]

(f-g) (x) means to subtract g(x) from f(x)

F(x) = 2x^2 +3

g(x) = x^2

This becomes:

2x^2 + 3 - x^2 = x^2 +3

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2 years ago

A piggy bank contains only quarters and dimes. A representative sample has 6 quarters and 2 dimes. If there are 56 coins in the

nadezda [96]

Answer:

Step-by-step explanation:

Method- 56-25=31-25=6

I subtracted 25 until I cant no more so I only did it 2 times so 2 quarters are in the piggy bank.

Quarters-2

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2 years ago

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3 years ago

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Aleks04 [339]

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2 years ago

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A loan of $100,000 is made today. This loan will be repaid by 10 level repayments, followed by a final smaller repayment, i.e.,

lawyer [7]

Answer:

p = $ 12521.82

Step-by-step explanation:

Interest Rate = 3.6 %, Compounding Frequency: Semi-Annual, Equivalent Annual Interest Rate $= [1+\frac{0.036}{2}]^(2) - 1 = 0.0363 or 3.63$ %

Number of Repayments is 11 with 10 being equal in magnitude and the last one being worth $ 270, the first repayment comes at the end of Year 2

Let $ p be the level payments that required. Therefore,

$100000 = p\times \frac{1}{0.0363} \times [1-\frac{1}{(1.0363)^{10}}] \times \frac{1}{(1.0363)} + \frac{270}{(1.0363)^{12}}$

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2 years ago