The area is to this figure is 141
Answer:
x=√14
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), with acute angles measuring 45° and 45°, the hypotenuse (the side opposite from the right angle) labeled as x, and one of the legs (one of the sides that makes up the right angle) labeled as √7
As these two angles are the same measure, the triangle is isosceles.
So that means that the measure of the other leg (the unmarked side) is also √7.
This triangle is a special type of triangle; a 45°-45°-90° triangle. For this triangle, if the length of the legs are a, then the hypotenuse has the length a√2
In this case, √7 is a, and as x is the measure of the hypotenuse, it must be equal to a√2, which substituting the values of a would get √7 * √2, which is √14.
The radical cannot be simplified further, so √14 is the answer.
Hope this helps!
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)
1.mean 5
Median 10
Mode 11,6,12
A = B - 3
C = B + 2
B = B
(B-3) + (B+ 2) + B = 17
3B - 1 = 17
B = (17+1)/3 =6
A = B-3 =6-3=3
C=B +2=6+2=8
Answer :
3 A titles
6 B titles
8 C titles
