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12345 [234]
2 years ago
8

In the diagram below, A8 is parallel to CD. What is the value of y? Help me

Mathematics
1 answer:
Anna11 [10]2 years ago
4 0

Answer:

C. 108

Step-by-step explanation:

The angles are known as same-side interior angles. They are supplementary angles so their sum is 180°.

y+72=180\\y+72-72=180-72\\y=108

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patriot [66]

Look at the picture.

<h3>Answer: d. (-3, 1)</h3>

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3 years ago
1) Find the lump that must be deposited today to have a future value of $ 25,000 in 5 years if funds earn 6 % componded annually
Hoochie [10]

Answer: $ 18681.45

Step-by-step explanation:

Given: Future value : FV=\$25,000

The rate of interest : r=0.06

The number of time period : t=5

The formula to calculate the future value is given by :-

\text{Future value}=P(1+i)^n, where P is the initial amount deposited.

\Rightarrow\ 25000=P(1+0.06)^5\\\\\Rightarrow\ P=\dfrac{25000}{(1.06)^5}\\\\\Rightarrow\ P=18681.4543217\approx=18681.45

Hence, the lump that must be deposit today : $ 18681.45

4 0
3 years ago
Hi. I need help with these questions.<br>See image for question.<br>​
Oduvanchick [21]

Step-by-step explanation:

<u>Given</u>

  • f(x) = 4x³ + 3x² - 2x - 1

<u>Divide it by the following:</u>

<u>(a) 2x + 1</u>

  • 4x³ + 3x² - 2x - 1 =
  • (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
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Quotient =  2x² + 1/2x - 5/4

Remainder = 1/4

<u>(b) 2x - 3</u>

  • 4x³ + 3x² - 2x - 1 =
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Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

<u>(c) 4x - 1</u>

  • 4x³ + 3x² - 2x - 1 =
  • (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
  • (4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

<u>(d) x + 2</u>

  • 4x³ + 3x² - 2x - 1 =
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8 0
2 years ago
Read 2 more answers
Help please I'm stuck show and explain your work
Deffense [45]

The expressions D, E, and F represent a correct solution to the equation.

Step-by-step explanation:

Step 1:

First, we need to solve the given equation and find the value of x which satisfies the equation.

6(x+4)=20, (x+4) = \frac{20}{6}   = 3.333,

x = 3.333 - 4 = -0.666.

So the value of x for the given equation is -0.666.

Step 2:

Now we evaluate the values of the six given options to see which ones have an x value of -0.666.

A. \frac{20-4}{6}= \frac{16}{6}  = 2.666,

B. \frac{1}{6} (20-4)= \frac{1}{6} (16)=\frac{16}{6} = 2.666,

C. 20 -6 -4 = 20 - 10 = 10.

D. \frac{20}{6} -4= 3.333 - 4 = -0.666,

E. \frac{1}{6} (20-24) = \frac{1}{6} (-4)= -0.666,

F. (20-24)\frac{1}{6} = (-4)\frac{1}{6} = -0.666.

So the options D, E, and F represent a correct solution to the given equation.

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3 years ago
Evaluate cos2 θ tan2 θ + tan2 θ sin2 θ in terms of tan θ.
Marianna [84]

Answer:

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Step-by-step explanation:

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