Answer:
6(x-10)=5-2(1-x)
Step-by-step explanation:
I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.
Answer:
33 students
Step-by-step explanation:
Fifteen percent of the students in seventh grade at western middle school have perfect attendance. There are 220 students in seventh grade. How many have perfect attendance?
Fifteen percent in decimal from is 0.15.
You would then multiply that by the number of students; 220.
.15 * 220 =
One multiplied, you get 33.
Therefore, 33 students have perfect attendance.
Answer: The correct option is (A) reduction.
Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.
As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:
AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.
And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:
We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.
Now, the scale factor is given by
Since the scale factor is less than 1, so the dilation will be a reduction.
Answer:
Table :
Statements Reasons
1)ΔEGC≅ΔEGB Given
2)EB = EC Corresponding Parts of Congruent
Triangles are Congruent
3) BC = BE Given
4) By 2 and 3 EB≅EC≅BC
5)∠BEC = 60° ΔBEC is an equilateral triangle
Step-by-step explanation:
We are given that BE = BC ---1
We are also given that ΔEGC≅ΔEGB
So, BE = CE(Corresponding Parts of Congruent Triangles are Congruent) ---2
Now By 1 and 2
BE=BC=CE
In ΔBEC
BE=BC=CE
Since all sides are equal . So, it is an equilateral triangle
All angles of equilateral triangle are also equal i.e. 60°
So, ∠BEC = 60°
Hence proved
Table :
Statements Reasons
1)ΔEGC≅ΔEGB Given
2)EB = EC Corresponding Parts of Congruent
Triangles are Congruent
3) BC = BE Given
4) By 2 and 3 EB≅EC≅BC
5)∠BEC = 60° ΔBEC is an equilateral triangle
