All categories

2 years ago

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°.

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

You might be interested in

Please help asap 25 pts + brainliest to right/best answer

patriot [66]

Look at the picture.

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

4 0

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. See image for question.

Oduvanchick [21]

Step-by-step explanation:

Given

f(x) = 4x³ + 3x² - 2x - 1

Divide it by the following:

(a) 2x + 1

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

Quotient = 2x² + 1/2x - 5/4

Remainder = 1/4

(b) 2x - 3

4x³ + 3x² - 2x - 1 =
(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
(2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

(c) 4x - 1

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

(d) x + 2

4x³ + 3x² - 2x - 1 =
(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
(x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

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.

7 0

3 years ago

Evaluate cos2 θ tan2 θ + tan2 θ sin2 θ in terms of tan θ.

Marianna [84]

Answer:

Step-by-step explanation:

3 0

2 years ago