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jeyben [28]
4 years ago
13

Problem

Mathematics
1 answer:
ELEN [110]4 years ago
6 0

Answer:

<h2>Complementary angles.</h2>

Step-by-step explanation:

The graph is attached.

Notice that \angle a=\angle AXY, \angle b = \angle YXB and \angle BXC = 90\°, by given.

\angle AXB = \angle AXY + \angle YXB, by sum of angles.

\angle AXB + \angle BXC = 180\°, by supplementary angles definition.

\angle AXB + 90\° = 180\°\\\angle AXB = 180\° - 90\°\\\angle AXB = 90\°

Which means,

\angle AXB = \angle AXY + \angle YXB = 90\°

Therefore, \angle a + \angle b = 90\°, in other words, angles a and b are complementary by defintion.

So, the right answer is the second choice.

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According to the synthetic division below, which of the following statements are true? Check all that apply
slamgirl [31]

Answer:

Step-by-step explanation:

Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:

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Step-by-step explanation:

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Airida [17]

Answer:

  a) payment: $1082.84

  b) interest: $194,822.40

Step-by-step explanation:

The monthly payment on the mortgage can be found using the given formula with the given values of principal (P=195000), interest rate (r=0.053), and time period (t=30). The value of n is 12, corresponding to the number of months in a year.

<h3>a)</h3>

The monthly payment is ...

  k=\left(1+\dfrac{r}{n}\right)^{nt}=\left(1+\dfrac{0.053}{12}\right)^{12\cdot30}\approx 4.88661119\\\\\text{monthly payment}=\dfrac{P\cdot\dfrac{r}{n}\cdot k}{k-1}=\dfrac{195000\cdot0.0044166667\cdot4.88661119}{4.88661119-1}\\\\\boxed{\text{monthly payment}=\$1082.84}

__

<h3>b) </h3>

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