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3 years ago

Can someone helpppppppppppp

Mathematics

2 answers:

rosijanka [135]3 years ago

4 0

Answer:

∠5

Step-by-step explanation:

A linear pair of angles create a straight line

The only angle that creates a straight line with ∠1 is ∠5 therefore cyan is the answer

Fantom [35]3 years ago

4 0

Answer:

5 i think

Step-by-step explanation:

The measure of a straight angle is 180 degrees so a linear pair of angles must add up to 180 degrees

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Mr.Swanson bought a package of 10 disposable razors for $6.30. He found that each razor lasted for 1 week. What was the cost per

Blababa [14]

Answer:

9 cents per day

Step-by-step explanation:

1 week = 7 days

Each razor lasts 1 week = 7 days

10 razors last 10 weeks = 10 * 7 days = 70 days

cost per day = (total cost)/(number of days)

cost per day = $6.30/(70 days) = $0.09/day

4 0

3 years ago

Plzzz help me<br><br><br>In direct variation, as y increases, x decreases.<br><br><br>True or false?

Karolina [17]

I feel like that’s false

3 0

3 years ago

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o

Nezavi [6.7K]

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

$2x+3=0$

$x=-\frac{3}{2}$

Now add 10 to this x coordinate , we get x1= $10-3/2$ = $17/2$

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get $0=2*17/2-k$

k=17

3 0

3 years ago

What is the equation of a line parallel to the x-axis that passes though the point (4,5)? What is the slope of this line

Svetlanka [38]

Slope of a line parallel to the x -axis is 0

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

<h3><u>Solution:</u></h3>

Given that a line parallel to the x-axis that passes though the point (4,5)

To find: slope of this line and equation of a line

The x -axis is a horizontal line with the equation y = 0 There are an infinite number of lines that are parallel to the x -axis, y = 0

All horizontal lines have slope of 0

If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0

The equation of a straight line parallel to x-axis at a distance b from it is y = b

Here "b" is the y - co-ordinate value

Here given point is (4, 5) so b = 5

The required equation is y = 5

<h3><u>Method 2:</u></h3>

We know slope "m" = 0

Given point is (4, 5)

<em><u>The slope intercept form is given as:</u></em>

y = mx + b --- eqn 1

Where "m" is the slope of line and "b" is the y - intercept

Substituting m = 0 and (x, y) = (4, 5)

5 = 0(4) + b

b = 5

Substitute b = 5 and m = 0 in eqn 1

y = 0 + 5

y = 5 is the required equation of a line parallel to the x-axis that passes though the point (4,5)

6 0

3 years ago

Current law requires that wheelchair ramps have a height to length ratio of 1:12. An old ramp has a height to length ratio of 2:

crimeas [40]

Answer:

The new ramp must be 54 inches long than the old ramp to meet the requirement of the new law

Step-by-step explanation:

Old height to length ratio is:

h : l = 2 : 15.

Height of old ramp h = 12

Length of old ramp can be find out by putting h = 12 in the above ratio

$\frac{h}{l} = \frac{2}{15}\\\\h = 12\\\\\frac{12}{l} = \frac{2}{15}\\\\l = 90$

Length of old ramp = 90

Height to length ratio by current law:

h : l = 1 : 12

Height will be the same i.e. h = 12

$\frac{h}{l} = \frac{1}{12}\\\\h = 12\\\\\frac{12}{l} = \frac{1}{12}\\\\l = 144$

Length of new ramp = 144

How much longer the new ramp should be to meet the new ratio law:

New length - Old length = 144 - 90 = 54 inches

8 0

3 years ago