Y is inversely proportional to x when y=9, x=24

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

The woods family traveled 25 miles in 1/2 hour. If it is currently 3:00 pm and the family's destination is 225 miles away at wha

svetlana [45]

<span>Given: family travelled 25 miles in 30 minutes or 50 miles /hr current time 3.00 pm. total distance=225 miles. solution: speed = distance * time time = distance/spedd = 225/50 time = 4.5 hours. reaching time= 3 hours +4 hour 30 minutes= 7.30 pm</span>

5 0

3 years ago

How to find the surface area of the open net

Kruka [31]

To find the surface area of the open net, you’ll have to find the area of the faces
So, since there are 6 boxes you’ll have to find the area of the faces and add it up to find the surface area
10x4=40x4=160
3x4=12x2=24
160+24=184

Hope this helps ;)

5 0

3 years ago

Write the decimal as a percent of 0.768

Nikitich [7]

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.768 × 100 = 76.8%

The ease way:

1) Move the decimal point two places to the right: 0.768 → 7.68 → 76.8.

2) Add a % sign: 76.8%

"<u>Answer: 76.8%"</u>

Hope this helps!

Thanks!

-Charlie

8 0

3 years ago

Read 2 more answers

a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (

lianna [129]

It's important that you share the complete question. What is your goal here? Double check to ensure that you have copied the entire problem correctly.

The general equation of a circle is x^2 + y^2 = r^2. Here we know that the circle passes thru two points: (-3,2) and (1,5). Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.

Subst. the known values (of the first point) into this equation: (-3)^2 + (2)^2 = r^2. Then 9 + 4 = 13 = r^2.

Let's check this. Assuming that the equation of this specific circle is
x^2 + y^2 = r^2 = 13, the point (1,5) must satisfy it.

(1)^2 + (5)^2 = 13 is not true, unfortunately.

(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).

Check the original problem. If it's different from that which you have shared, share the correct version and come back here for further help.

3 0

3 years ago