Answer:
g) x = 30
h) x = 30
i) m = 55
j) x = 24
k) k = 45
Step-by-step explanation:
G)
all angles of a triangle add up to 180.
the square in the bottom right of the triangle is 90 btw
2x + x + 90 = 180
3x + 90 = 180
3x + 90 - 90 = 180 - 90
3x = 180 - 90
3x = 90
3x/3 = 90/3
x = 30
H)
this is an Isosceles triangle.
that means the bottom two angles are equal.
75 + 75 + x = 180
x + 150 = 180
x + 150 - 150 = 180 - 150
x = 180 - 150
x = 30
I)
2m is supplementary to the bottom right angle of the triangle.
that means they add together to make 180.
80 + 30 + (180 - 2m) = 180
110 - 2m = 180 - 180
110 - 2m = 0
110 = 2m
110/2 = m
55 = m
J)
to save time I'm not going to write out the steps, its the same as the i.
2x + 3x + (180 - 120 ) = 180
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 120/5
x = 24
K)
imagine this as a triangle and a square.
sorry I'm not sure how to explain this -.-
but the equation would be
k + k + 90 = 180
2k + 90 = 180
2k = 180 - 90
2k = 90
k = 45
L)
Im not sure how to solve this, I'm sorry :( hope you figure it out!
Answer:
no
Step-by-step explanation:
No it is not. If you had two fixed diagonals which are attached in the center, when they move it creates different parallelograms. The area would be close to zero if they were parallel.
57 minute will take to fill the tank.
Solution:
Height of the cylinder = 6 ft
Diameter of the cylinder = 6 ft
Radius of the cylinder = 6 ÷ 2 = 3 ft
Volume of the cylinder = πr²h
= 3.14 × 3² × 6
Volume of the cylinder = 169.56 cubic feet
Time taken to fill 3 cubic feet of water = 1 minute
Time taken to fill 169.56 cubic feet of water = 
= 56.52 minute
= 57 minute
Hence 57 minute will take to fill the tank.
<u>Answer</u>:
-3 is an integer, rational number and real number , so correct option id D) that is all of the above.
<u>Explanation:</u>
Integer is all natural number that a 1 , 2 , 3 , 4 ……. And zero and negative of natural numbers like -1 , -2 , -3 , - 4 ……. So -3 is an integer.
Rational number is the number which can be represented in the form of p/q where p and q are integers and q ≠ 0 . As -3 can be represented as (-3)/1 . hence -3 is also a rational number.
Real number is all number which can be represented on number line. All integers and rational numbers are real numbers . so -3 is also a real number.
Hence as -3 is an integer, rational number and real number , so correct option id D) that is all of the above.
