The attached figure represents the image of A"B"C" after the transformation
<h3>How to transform the triangle?</h3>
The transformation rule is given as:
A"B"C" = Ro90° (T(-4,3)(ABC))
This means that we rotate the triangle 90 degrees clockwise, and then translate the triangle
From the figure, the coordinates of ABC are
A = (-1, 2)
B = (1, 4)
C = (3, -1)
The rule of 90 degrees clockwise rotation is
(x,y) ⇒ (y,-x)
So, we have
A' = (2, 1)
B' = (4, -1)
C' = (-1, -3)
The translation of the triangle by T(-4,3) is
(x,y) ⇒ (x - 4, y + 3)
So, we have
A'' = (-2, 4)
B'' = (0, 2)
C'' = (-5, 0)
See attachment for the image of the transformation
Read more about transformation at:
brainly.com/question/11709244
#SPJ1
Answer:
z = 3.3
Step-by-step explanation:
Given
2.2 = z - 1.1 ( add 1.1 to both sides )
3.3 = z
Answer:
The Fullers can reach the national park
Step-by-step explanation:
<u><em>The complete question is</em></u>
The Fuller family wants to drive to a national park. Some information about their trip is given in the table below.
Distance to national park 515 miles
Car’s gas tank capacity 20 gallons
Average gas mileage for car 26 miles per gallon
The family wants to determine if they can drive to the national park using just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.
we know that
The Average gas mileage for the car is 26 miles per gallon
That means
With 1 gallon the car runs 26 miles
so
using a proportion
Find out how many miles the car runs with 20 gallons (one tank of gas)
![\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles](https://tex.z-dn.net/?f=%5Cfrac%7B26%7D%7B1%7D%5C%20%5Cfrac%7Bmiles%7D%7Bgallon%7D%3D%5Cfrac%7Bx%7D%7B20%7D%5C%20%5Cfrac%7Bmiles%7D%7Bgallons%7D%5C%5C%5C%5Cx%3D26%2820%29%5C%5C%5C%5Cx%3D520%5C%20miles)
Compare with the distance to the national park
![520\ miles>515\ miles](https://tex.z-dn.net/?f=520%5C%20miles%3E515%5C%20miles)
therefore
The Fullers can reach the national park
The square root of 25 would be 5!
Brainliest please? I am trying to get my rank to ace!
Answer:
nonagon - 9
Step-by-step explanation:
- pentagon - 5
- nonagon - 9
- hexagon - 6
- octagon - 8