Answer:
The common ratio is 
Step-by-step explanation:
Geometric sequence:A geometric sequence is a sequence in which the ratio of any term to the preceding term of that term is always constant.
Common ratio: The ratio of any term to the preceding term of that term.
The
term of a geometric sequence is represented by
.
The
term of the sequence = a.
The sum of first n term is

The common ratio = r.
Given geometric sequence,
,
,
,
........
The common ratio is




Answer:
p=10
Step-by-step explanation:
subtract 5 on both sides and you'll get p=10 :]
Answer:
y= 4/3x
Step-by-step explanation:
Answer: Right ,vertical, supplementary
Step-by-step explanation:In the given figure the two rays are perpendicular.A line is said to be perpendicular to another line if the two lines intersect at a right angle.Thus <1 and <2 are Right angles.
The opposite angles formed by two intersecting lines are called vertical angles.<1 and <2 are on opposite sides of the two rays and hence form vertical angles.
The angles made at the intersection of the two rays are 90 degrees .So the sum of angles 1 and angle 2= 90+90=180 degrees.When two angles add to 180 degrees they are called supplementary angles .
Hence <1 and <2 are Right ,vertical, supplementary angles.
From the picture, the grass is only occupying the pink shaded area. Hence, we need to get the measurement of the pink shaded area only.
The formula for area of rectangle is A = L*W; where L= length and W = width
1.) Get the area of the whole landscape
A = 150 ft. * 100 ft.
= 15,000 sq. ft. is the area of the whole landscape diagram.
2.) Get the are of the other parts of the diagram
A = 20 ft. * 10 ft.
= 200 sq. ft. is the area of the white rectangle inside the diagram
A = 40 ft. * 30 ft.
= 1,200 sq. ft. is the area of the bigger grey-shaded rectangle
A = 20 ft. * 15 ft.
= 300 sq. ft. is the area of the smaller grey shaded rectangle
3.) Subtract the total measurement of the other parts from the measurement of the whole diagram
15,000 - (200+1,200+300) = 13,300 sq. ft.
4.) Therefore, A.) 13,300 sq. ft. is the area of grass in the home landscape diagram.