All categories

3 years ago

Find the missing values in the following figures

Mathematics

1 answer:

jekas [21]3 years ago

4 0

Answer:

15.

x = 40/9 = 4 4/9

z = 24/5 = 4 4/5

17.

x = 50

y ≈ 11.5

Step-by-step explanation:

15. Corresponding segments are proportional:

top right side / whole right side = x / 8

5/(5+4) = x/8

x = 8(5/9) = 40/9

x = 4 4/9

right side bottom / right side top = z / 6

z = 6(4/5) = 24/5

z = 4 4/5

____

17. The acute angles are complementary:

x = 90 -40 = 50

From the Pythagorean theorem:

y = √(15² -9.6²) = √132.84

y ≈ 11.5

You might be interested in

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

AlladinOne [14]

<u>Answers</u>

19 fiction books

7 nonfiction books

<u>Explanation</u>

x + y = 26 ............................................. (i)

x – y = 12 ............................................ (ii)

Elliot added the two equations and the result was

2x = 38.

Dividing both sides by 2;

x = 19

There are 19 fiction books.

Substituting x in equation (i),

x + y = 26 when x = 19

19 + y = 26

y = 26 - 19

= 7

There are 7 nonfiction books

4 0

3 years ago

Read 2 more answers

Which of the diagrams below represents the statement, "If it is not an apple, then it is not fruit"?

kherson [118]

I'm pretty sure it is figure A

3 0

3 years ago

Read 2 more answers

The difference when 7 less than a number is subtracted from twice the number is 12. What is the number?

Softa [21]

2n-(n-7)=12
n+7=12
12-7=5
n=5

6 0

3 years ago

Of the 15 year olds at karate school 8 have black belts in 20 had Brown belts among 16 year olds 10 have black belts in 17 have

RSB [31]

Answer:

16 year olds had the higher ratio of black belts to brown belts.

Step-by-step explanation:

15 year olds: 8/28 students had black belts

8/28 = 28.6% had black belts

16 year olds: 10/27 students had bald belts

10/27 = 37.0% had black belts

5 0

3 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

Find the missing values in the following figures​

Find the missing values in the following figures