Answer:
The coordinates of point E are (-19/4,8)
Step-by-step explanation:
To find this, we use the internal division formula;
The formula is as follows;
(x ,y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 5 n = 3
x1 = -1 , y1 = -5
x2 = -7 , y2 = 11
Substitute these values;
(x ,y) = 5(-7) + 3(-1)/(3 + 5) , 5(11) + 3(-5)/(5 + 3)
(x , y) = (-35-3)/8, (55-15)/8
(x,y ) = -38/8, 40/8
(x,y) = -19/4, 5
Answer: The correct option is
(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.
Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.
Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.
So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.
In option (A), we have
The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.
And the lengths of corresponding sides of ABCD are half those of KLMN.
So, we can write
![AB=\dfrac{1}{2}KL,~~BC=\dfrac{1}{2}LM,~~CD=\dfrac{1}{2}MN,~~AD=\dfrac{1}{2}KN\\\\\\\Rightarrow \dfrac{AB}{KL}=\dfrac{BC}{LM}=\dfrac{CD}{MN}=\dfrac{AD}{KN}=\dfrac{1}{2}.](https://tex.z-dn.net/?f=AB%3D%5Cdfrac%7B1%7D%7B2%7DKL%2C~~BC%3D%5Cdfrac%7B1%7D%7B2%7DLM%2C~~CD%3D%5Cdfrac%7B1%7D%7B2%7DMN%2C~~AD%3D%5Cdfrac%7B1%7D%7B2%7DKN%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7BAB%7D%7BKL%7D%3D%5Cdfrac%7BBC%7D%7BLM%7D%3D%5Cdfrac%7BCD%7D%7BMN%7D%3D%5Cdfrac%7BAD%7D%7BKN%7D%3D%5Cdfrac%7B1%7D%7B2%7D.)
Therefore, the corresponding sides are proportional.
Thus, option (A) is true if two polygons are similar.
Answer:
59 cm^3
Step-by-step explanation:
You can split the shape into two rectangular prisms.
3*3*1=9
10*5*1=50
9+50=59
Answer:
bro no one cares
Step-by-step explanation:
OK. Here we go:
Step #1: Write the equation on your paper.
Step #2: Add 3 to each side of the equation.
Step #3: With the result of step-#2, divide each side of the equation by 2.
If your result of step-#3 is not 4.5, then go back to step-#1, and go through
all 3 steps again, trying to be more careful and focused.