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3 years ago

Which line is parallel to line ? Oline p O line a O lines O line 1

Mathematics

1 answer:

laila [671]3 years ago

4 0

Answer:

o lines

Step-by-step explanation:

You might be interested in

A study of commuting times reports the travel times to work of a random sample of 1010 employed adults in Chicago. The mean is x

MrMuchimi

Answer:

standard error of the mean = 1.6960

Step-by-step explanation:

Given -

Mean $(\overline{X})$ = 53 minutes

Standard deviation ( s ) = 53.9 minutes

n = 1010

standard error of the mean =

$\sigma _{\overline{X}}$ = $\frac{s}{\sqrt{n}}$

= $\frac{53.9}{\sqrt{1010}}$

= 1.6960

3 0

3 years ago

Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions

liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0

3 years ago

5+ (x + 2) = <br><br> !!!!!!!!!!!!!!!!!!!!!

DiKsa [7]

Answer:

x + 7

Step-by-step explanation:

5 + (x + 2) = x + 7

5 0

3 years ago

Read 2 more answers

58. Graph the function y=x^2+3x-18. How many real roots does the function have?

Airida [17]

9514 1404 393

Answer:

58. 2 real roots; see attached for a graph

59. -6, 3

Step-by-step explanation:

58. A graphing calculator graphs this easily. The graph is shown in the attachment. There are 2 x-intercepts, hence 2 real roots.

59. The x-intercepts are (-6, 0) and (3, 0), so the x-values x=-6 and x=3 satisfy the equation y = 0.

8 0

4 years ago

If you saved 20% of the total cost and the regular price is $30 how much did you save

zalisa [80]

(20×30)÷100= 6$ is how much you saved

7 0

3 years ago