Answer:
x = 113
Step-by-step explanation:
( 5x + 685 ) + ( 12x - 106 ) = 2500 ( 685 - 106 = 579)
17x + 579 = 2500
17x = 2500 - 579
17x = 1921
x = 1921 / 17
x = 113
Answer:
2/5 of an acre
Step-by-step explanation:
1/2 an acre, or 5/10 of an acre, is subtracted from 9/10 of an acre
4/10 can be simplified into 2/5 if divided by two
Answer:
See attached image for the drawing of the first four trees (circled in green)
The patterns is:
x = 2+3n and y= 3+2n
Position of 7th tree is: (20,15) (circled in orange in the image)
Step-by-step explanation:
Starting at the location (2,3) the next x and y positions are given by:
x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,
and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration
being n= 1 through 6 (to account for the next 6 trees that need to be planted)
With such pattern, the location of the seventh tree would be:
x = 2 + 3*6 =2 + 18 = 20
y = 3 + 2*6 = 3 + 12 = 15
That is, the point (20,15) on the plane.
Also see attached image.
Answer:
n=216.
Step-by-step explanation:
Very simple problem - we just have to multiply both sides by 6, which will get rid of the 6 on the left.
36 x 6 = 216
Answer:
Please find attached a drawing of the triangles ΔRST and EFG showing the angles
The angle on ΔEFG that would prove the triangles are similar is ∠F = 25°
Step-by-step explanation:
In order to prove that two triangles are similar, two known angles of each the triangles need to be shown to be equal
Given that triangle ∠R and ∠S of triangle ΔRST are 95° and 25°, respectively, and that ∠E of ΔEFG is given as 90°, then the corresponding angle on ΔEFG to angle ∠S = 25° which is ∠F should also be 25°
Therefore, the angle on ΔEFG that would prove the triangles are similar is ∠F = 25°.