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love history [14]
3 years ago
9

Some isosceles triangles are not equilateral. a true or b false

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
That's true.  The definition of an isosceles triangle is that it has at least 2 sides equal in length.  Therefore, isosceles can be equilateral, but equilateral cannot be isosceles.
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What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

3 0
3 years ago
Read 2 more answers
What is the equation of the line?
spin [16.1K]

Answer:

y=1/2x+2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(0,2) and (-4,0).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=2.

Also, let's call the second point you gave, (-4,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-4 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

m= 0 - 2-4 - 0 or... m= -2-4 or... m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(0,2). When x of the line is 0, y of the line must be 2.

(-4,0). When x of the line is -4, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,2) and (-4,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,2). y=mx+b or 2=1/2 × 0+b, or solving for b: b=2-(1/2)(0). b=2.

(-4,0). y=mx+b or 0=1/2 × -4+b, or solving for b: b=0-(1/2)(-4). b=2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(0,2) and (-4,0)

is

y=1/2x+2

4 0
3 years ago
PLEASE HELP! ( no random links )
AURORKA [14]

Answer:

A statistical question

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

7 0
3 years ago
Please help me with this sum​
barxatty [35]

Answers:

781 × 8 = 6248

231 × 7 = 1617

421 × 6 = 2526

531 × 5 = 2655

681 × 2 = 1362

951 × 4 = 3804

741 × 3 = 2223

361 × 3 = 1083

931 × 7 = 6517

821 × 2 = 1642

8 0
2 years ago
Ok so this isn't actual homework but I need help calculating this.
jeka57 [31]
Ok so there is 60 minutes in an hour and you have 107 minutes so
107-60 = 47 ( 60 has become an hour)

So we are left with 47 minutes, so add the hour to 7:45 which will make it 8:45 pm
Then add 15 to make it 9:00 pm ( 47 - 15 = 32)

And so then add 32 minutes to 9:00 pm 

Answer is 9:32 p.m.
7 0
3 years ago
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