Answer: the triangle after the dilation has the vertices A' = (0,0), B' = (-9, 18) and C' = (0, 27)
Step-by-step explanation:
If the dilation is from the origin, then we need to multiplicate each point by the scale factor, then each one of the vertices change as:
A' = 3*A = 3*(0,0) = (0, 0)
B' = 3*B = 3*(-3, 6) = (-3*3, 6*3) = (-9, 18)
C' = 3*C = 3*(0,9) = (0, 3*9) = (0, 27)
Then the triangle after the dilation has the vertices A' = (0,0), B' = (-9, 18) and C' = (0, 27)
Answer:
x = 56
Step-by-step explanation:
Since two sides of the triangle have the same length, we knows it's isosceles. This means we we will have two base angles with the same value. Since x is the angle in between both legs, we knows x is the vertex angle.
62 is a base angle, which means the other base will be 62 as well. And since the angles of a triangle always add up to 180,
x = 180 - (62 + 62)
x = 180 - 124
x = 56
Given expression: − 11.50 (1.32 + 0.48).
We need to simplify it and get the answer in decimals.
Note: In order to simplify above given expression, we need to apply order to operations.
According to order to operations, we need to simplify parenthesis first.
So, we need to add 1.32 + 0.48 first.
1.32 + 0.48 = 1.80.
So, − 11.50 (1.32 + 0.48) would become -11.50(1.80).
Now, we need to multiply -11.50 by 1.80.
-11.50(1.80) = -20.7.
<h3>Therefore, final answer is -20.7.</h3>
Answer:
27.2 cm
Step-by-step explanation:
14 cm / 2.5 = 5.6 cm, and
20 cm / 2.5 = 8 cm.
Then the new perimeter would be P = 2L + 2W, or, in this case:
P = 2(8 cm) + 2(5.6 cm) = 27.2 cm
The dot plot with the least number of sites has the least frequency
The dot plot has the least number of sites is the Shield Darter
<h3>How to determine the dot plot?</h3>
To determine the dot plot with the least number of sites, we simply calculate the total frequency of each dot plot
So, we have:
Shield Darter = 3 + 1 + 4 + 2 + 3 + 1 + 1
Shield Darter = 15
Calico Crayfish = 1 + 1 + 3 + 4 + 1 + 2 + 4 + 2
Calico Crayfish = 18
Zebra Mussel = 1 + 3 + 2 + 5 + 1 + 1 + 2 + 3 + 2
Zebra Mussel = 20
Blue back Herring = 3 + 3 + 2 + 1 + 3 + 1 + 4
Blue back Herring = 17
From the computation above, the least frequency is
Shield Darter = 15
Hence, the dot plot has the least number of sites is the Shield Darter
Read more about dot plots at:
brainly.com/question/21862696