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3 years ago

Line x and line z are straight lines.

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Answer:

$\angle c$ and $\angle e$

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Vertical angles opposite one another
Vertical angles are equal to one another

Using the keynote as a reference, we have the following observation from the attachment:

$\angle c$ and $\angle e$ are opposite

$\angle c$ and $\angle e$ are congruent

Hence:

$\angle c$ and $\angle e$ are vertical

(d) is correct

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How do I cancel my subscription?

soldi70 [24.7K]

Answer: you unsubscribe from it

Step-by-step explanation:

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3 years ago

a language arts test is worth 100 points there is a total of 26 questions . there are spelling word questions that ae worth 2 po

natka813 [3]

10 question of spelling words and 16 questions of vocabulary are present

Solution:

Let "x" be the number of spelling word questions

Let "y" be the number of vocabulary word question

There is a total of 26 questions. Therefore, we get

number of spelling word questions + number of vocabulary word question = 26

x + y = 26 --------- eqn 1

There are spelling word questions that worth 2 points each and vocabulary word question worth 5 points each

The language arts test is worth 100 points

Therefore, we frame a equation as:

number of spelling word questions x 2 + number of vocabulary word question x 5 = 100

$x \times 2 + y \times 5 = 100$

2x + 5y = 100 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 26 - y ------- eqn 3

Substitute eqn 3 in eqn 2

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

3y = 100 - 52

3y = 48

Substitute y = 16 in eqn 3

x = 26 - 16

Thus 10 question of spelling words and 16 questions of vocabulary are present

4 0

3 years ago

Inverse of the function h(x)=\dfrac{3}{2}(x-11)h(x)= 2 3 (x−11)h, left parenthesis, x, right parenthesis, equals, start fracti

blagie [28]

Answer:

The inverse function of h(x) = 3/2*(X-11) is: g(x)= (2/3*X) +11

Step-by-step explanation:

h(x) = Y= 3/2*(X-11)

To find the inverse function, the first step is to exchange the position of the variables with each other. So;

X= 3/2*(Y-11)

Now we need to isolate the variable Y from this equation. The final result will be te inverse function.

X=3/2*(Y-11)

2*X=3*(Y-11)

2/3*X=Y-11

2/3*X +11 = Y

Y= (2/3*X) + 11 (Inverse function)

5 0

3 years ago

Read 2 more answers

You are offered a 30--day trial period at your dream job. However, the owner of the company is a little unusual so the pay optio

S_A_V [24]

Answer:

The question is not complete but from the flow of thought, the question seems to be about what your choice will be between option 1 and option 2.

The correct answer is

option 2

Step-by-step explanation:

The question is asking you to choose an option that pays more after 30 days. In other to determine the more beneficial option, we will compare both options and select the one that pays more. This is done as follows:

option 1: $60,000 per day, after 30 days =

60,000 × 30 = $1,800,000

option 2 = $5,368,709.12 after 30 days

From the total amounts after 30 days of the two options listed above, option 2 is higher than option 1 by $3,568,709. Therefore, option 2 is a better choice.

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3 years ago

Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 40

svet-max [94.6K]

Answer:

The required equation is $P(t) = -52t + 480$

Step-by-step explanation:

Consider the provided information.

Let P represent the number of pages left to read after t hours.

Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.

Total number of page Shryia read in 1.5 hours is:

480-402 = 78

It is given that the rate is constant i.e 1.5 hours,

Therefore, she read 78 pages in 1.5 hours.

She can read $\frac{78}{1.5} = 52$ page per hour

The required equation is:

$P(t) = -52t + 480$

Where t represents the number of hours.

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3 years ago

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