Answer:
4
Step-by-step explanation:
Equation 1
Equation 2
What is the value of
where each variable represents a real number?
Let's expand equation 1:


Simplify each term if can:

See if we can factor a little to get some of the left hand side of equation 2:
The first two terms have
and if I factored
from first two terms I would have
which is the first term of left hand side of equation 2.
So let's see what happens if we gather the terms together that have the same variable squared together.

Factor the variable squared terms out of each binomial pairing:

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

Combine like terms:

Subtract 6 on both sides:

Divide both sides by 3:

Answer:
<h2>
140°</h2>
solution,
Let <DEF= x°
<CDE= 2x°
<BAF= 90°
The sum of interior angle of hexagon= 720°
<A + <B + <C + <D + <E +<F = 720°

Again,

Hope this helps...
Good luck on your assignment..
Answer:
x = 5/2
Step-by-step explanation:
2^x+4 = 2^3x-1
x + 4 = 3x - 1
3x - x = 4 + 1
2x = 5
x = 5/2
The angle bisector, median, and altitude are all the same things in an isosceles triangle.
That means that the legs of the smaller triangles created by the altitude are 4 root 2.
By special properties of an right triangle, the hypotenuse is 8.
Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.
Now we just simplify:
8*8/2=64/2=32
Smaller angle = 41°
Larger angle = 139°
Step-by-step explanation:
(7x - 1) + (2x + 1) = 180
7x + 2x - 1 + 1 = 180
9x = 180
x = 20
- The measure of the smaller angle is
2x + 1
= 2(20) + 1
= 40 + 1
<u>= 41°</u>
- The measure of the larger angle is
7x - 1
= 7(20) - 1
= 140 - 1
<u>= 139°</u>