It is given that John wants to find the center of a wall so he can hang a picture. So, John measures the wall and <u>determines</u> it is 65.25 inches wide. Since John has determined that the wall measures a particular amount that means that John has <u>quantified</u> the width of the wall, which in this case comes out to be 65.25 inches.
Again, this is a single number. This means that the width of the wall is a <u>discrete</u> quantity.
Thus, 65.25 inches or 65.25" is a Quantitative and Discrete type of data. Thus, out of the given options, the first option is the correct one.
Let the width = x then length = x + 11 inches
Perimeter of a rectangle = 2*width + 2*length so we have the equation:-
( letting P = perimeter , L = length and W = width)
P = 2L + 2W
86 = 2(x + 11)) + 2x
86 = 4x + 22
4x = 86-22 = 64
x = 64 / 4 = 16 inches
Therefore the length of the rectangle = 16 + x
= 16 + 11 = 27 inches Answer
<u>Answer</u>
b. M=v+2
<u>Explanation</u>
mag's age = m
vector's age = v
Mag is 2 years old than vector
∴ m > v
m - v = 2
m - v + v = 2 + v
m = 2 + v
m = v + 2
Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
Answer:
b = 1/3 a.
Step-by-step explanation:
The number in b = 1/3 of the number in a.
b = 1/3 a.