All categories

2 years ago

This drawing would be a step in finding which point of concurrency in a triangle?

Mathematics

1 answer:

ad-work [718]2 years ago

3 0

Answer:

A. Orthocenter

Step-by-step explanation:

In the given triangle, ΔWKS, the drawing shown the construction of a perpendicular line to the side KS that pass through the vertex W of ΔWKS. Therefore, the completed construction gives an altitude of the triangle ΔWKS

Repeating the same procedure from the vertex S to construct the perpendicular line (altitude) to the side WK, and from the vertex K the perpendicular line (altitude) to the side WS gives the three altitudes of the triangle

The point of intersection (the point of concurrency) of the three altitudes is the orthocenter of the triangle and the drawing would therefore be a step in finding the orthocenter of a triangle.

You might be interested in

Mr. Capuano, an art teacher, surveyed his students to find out whether they are satisfied with his classes. He also noted which

True [87]

Answer:

just took the test on ed

8 0

2 years ago

Read 2 more answers

How do I start a concat function and use the Index function with the first arguments list as the text1 argument?

romanna [79]

Answer:

ask

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Jjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhbvvvvvvvvvvvvvvvvvvvvv

Bogdan [553]

Answer:

Thanks for the point!

Step-by-step explanation:

Have a great day

5 0

2 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

$-2=\frac{3}{4}(-4)+b$

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0

2 years ago

Read 2 more answers

Calculate the length of the altitude (h) of the rhombus

allochka39001 [22]

Answer:

h = 15

Step-by-step explanation:

Use Pythagorean Theorem to solve for h.

a² + b² = c²

8² + h² = 17²

64 + h² = 289

h² = 225

h = 15

7 0

2 years ago