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2 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics

1 answer:

Sloan [31]2 years ago

6 0

Answer:

see the attached figure with letter to better understand the problem

we know that

If triangle ABC is similar to triangle PQR

then

the ratio of the corresponding sides are proportional

substitute the values

therefore

the answer is the option C

Step-by-step explanation:

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In certain county, the number of charter schools is 4 less than twice the numbervof alternative schools. We know that there are

Vitek1552 [10]

1. Let's call the number of carter school: "x" and "y" the number of alternative school. Then, you have that:

- The number of charter schools is 4 less than twice the number of alternative schools.
 - There are 48 charter schools in the country.

2. So, you have:

x=2y-4 (i)

x=48 (ii)

3. Then, when you substitute x=48 into the equation (i), you obtain:

x=2y-4
 48=2y-4

4. Now, you must clear "y, as below:

48+4=2y
2y=52
y=52/2
y=26

How many alternative schools are in the county?

The answer is: There are 26 alternative schools.

6 0

3 years ago

A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c

Lelu [443]

Answer:

$(x+8)^2 +(y-4)^2 = 25$

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

$(x-h)^2 +(y-k)^2 = r^2$

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this: $(x+8)^2 +(y-4)^2 = r^2$

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for $r^2$

$(-4+8)^2 +(7-4)^2 =25= r^2$

So then $r = \sqrt{25}=5$

And if we replace the second point we got this:

$(-13+8)^2 +(4-4)^2 = 25 =r^2$

And for the third point we have:

$(-8+8)^2 +(-1-4)^2 = 25 =r^2$

And we got the same result.

So then our final equation is given:

$(x+8)^2 +(y-4)^2 = 25$

4 0

3 years ago

Complete the square to transform the quadratic equation into the form

faltersainse [42]

The square of a binomial is written like

$(x\pm a)^2 = x^2\pm 2ax + a^2$

In your case, you have $2ax=-8x$ , which implies $a=-4$

So, we want to write

$(x-4)^2 = x^2-8x+16$

But our left hand side is

$x^2-8x-10$

If we add 26 to both sides, we have

$x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44$

7 0

3 years ago

The two equations will intersect at which of the following coordinates : y= -x + 3 y= 1/2x

kvv77 [185]

Y=1/2 the points would intersect

4 0

3 years ago

Solve the following system of equations graphically on the set of axes below.

eimsori [14]

Answer:

(x, y) = (3, 5)

Step-by-step explanation:

To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.

The first equation can be graphed using the y-intercept of -1 and the slope of 2.

The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.

The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.

The solution is (x, y) = (3, 5).

8 0

2 years ago