Answer:
360cm²
Step-by-step explanation:
area of the parallelogram = base x height
base = 40 -10= 30cm
height = height of the triangle
A = 30*12= 360
Answer:
x = 18
Step-by-step explanation:
This problem can be solved using concept of Pythagoras theorem.
Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is 
_________________________________________
Given in the problem
a = 24
b = x
h = x+12
applying Pythagoras theorem
for (x+12)^2 we have used formula 
Thus, value of x is 18.
Answer:
∠AEC = 105°
Step-by-step explanation:
If two chords intersect each other in a circle then the vertical angles formed are equal.
In this question two chords AB and CD intersect each other at point E then ∠DEB and ∠AEC are vertical angles which are equal.
Therefore ∠DEB = ∠AEC
Here m∠DEB = 105°
Then m∠AEC = 105° ( by Theorem)
Therefore the correct answer is ∠AEC = 105°
Answer: 28 pairs
Step-by-step explanation:
12 times 5 is 60, so she has 60 pairs in total. She gives 32 pairs to one son, so 60-32 is 28. The other son receives 28 pairs of socks.
-6=-7+x
Make the variable to the left hand side and change it’s sign.
-6-x=-7
Move the constant to the right hand side and change its sign.
-x=-7+6
Calculate the sum
-x=-1
Change the signs of both sides of the equation .
X=1
