Answer:
x = 32
Step-by-step explanation:
This is an equilateral triangle, all three sides equal. Since all three sides are equal, all three angle are equal. 180/3 = 60. That means each angle is equal to 60 degrees.
2x-4 = 60
Add 4 to each side
2x-4+4 = 60+4
2x =64
Divide each side by 2.
2x/2 = 64/2
x = 32
The first side is 10 inches
the side parallel to this is (10×2)= 20 inches
Height is half the length=1/2×20=10 inches
The area of trapezium is given by:
Area=1/2×h×(a+b)
where a and b are the sides, h is the height. Thus the area will be:
Area=1/2×10×(20+10)
=1/2×10×30
=150 sq. inches
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy = 
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Answer:
Any number with 9 in the ten-thousands place. 90,000 is one such number.
Step-by-step explanation:
The 9 in 39,154 is in the thousands place. Its value is 9,000. In order for the 9 in a number to have a value 10 times that, or 90,000, the 9 must be in the ten-thousands place.
There are an infinite number of such numbers. We suspect you have a list you are to choose from. Pick the number with 9 where it is in the number 90,000.