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11 months ago

How do I find the answer to x and y?

Mathematics

1 answer:

Vlada [557]11 months ago

8 0

First, the angles of triangle MNP add up to 180º. Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.

Now angle N is congruent to angle U.

2x - 50 = 14

2x = 64

x = 32

Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.

13 = 62 - y

y = 49

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Which value c makes the expression x² + 2x + c a perfect square trinomial?

Ilia_Sergeevich [38]

Answer:

A

Step-by-step explanation:

Taking c = 1 :

x² + 2x + 1
x² + x + x + 1
x(x + 1) + 1(x + 1)
(x + 1)(x + 1)
(x + 1)² ⇒ Perfect square trinomial

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1 year ago

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ElenaW [278]

Answer:

acute angle

Step-by-step explanation:

<h2>Finding the angle </h2>

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3 years ago

Read 2 more answers

30tens-3tens3tenths

Pachacha [2.7K]

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2 years ago

Calculate the following numbers into scientific notation (include units)

inna [77]

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2500nm - 7pm = (2500x 10^-9) + (7x10^-12) = 2.50007x10^-6 = 2.50007mm

(65x10^4m) x (4.5x10^-6s-1) = clarify this question

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7 0

3 years ago

You paid $44 to a loan company for the use of $1,153 for 119 days, what annual rate of interest did they charge? (Assume a 360-d

Zigmanuir [339]

Answer:

Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14

Step-by-step explanation:

Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.

$r(Effective119Days)=\frac{44}{1,153} x100=0.038161$

So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.

$r(annual)=(1+0.038161)^{\frac{360}{119} } -1=0.119965$

This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).

Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.

$r(Effective119Days)=(1+0.11186)^{\frac{119}{360} -1}=0.03568$

And the money that you will have to pay in interest is $1,153*0.03568=$41.14

Best of luck

7 0

3 years ago