<span>(2x + 1)(x + 3) = 2x^2 + 6x + x + 3 = 2x^2 + 7x + 3 A.</span>
Answer:
J and K are supplementary
Step-by-step explanation:
Given
The attached image
Required
The true statement
From the attached image, it is hard to determine the values of angles I and L as there are no enough information to determine their values.
However, J and K can be worked easily.
From the image
--- vertically opposite angles
And:
---- angle on a straight line
Substitute:
When two angles add up to 180, the angles are supplementary.
<em>Hence, (c) is correct</em>
First of all you have to find the missing measurements. The actual measurements for the angles in the hexagon are not given, but they give you an expression. You have to solve for x first so that you can plug it in and find the angle measurement. You have to equal the two sides that are given to you like this: 20x+48=33x+9. You solve for x and then plug it into each angle measurement. This should give you 108. Since it is a regular hexagon all of the sides are equal. If you look at the angle at the top of the hexagon you'll see two triangles and the angle. Since it lies on a straight line, it is all equal to 180. You already have the angle measurement of the hexagon and are missing the triangles. So 180-108=72. 72 is the missing part of the angle. You divide this by 2 in order to find each triangle angle measurements. the answer is 36 degrees.
100 because 40% is 40 and you do not kno the exact number of apples
<span>Simplifying
4(x + -3) = 7x + 24
Reorder the terms:
4(-3 + x) = 7x + 24
(-3 * 4 + x * 4) = 7x + 24
(-12 + 4x) = 7x + 24
Reorder the terms:
-12 + 4x = 24 + 7x
Solving
-12 + 4x = 24 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-12 + 4x + -7x = 24 + 7x + -7x
Combine like terms: 4x + -7x = -3x
-12 + -3x = 24 + 7x + -7x
Combine like terms: 7x + -7x = 0
-12 + -3x = 24 + 0
-12 + -3x = 24
Add '12' to each side of the equation.
-12 + 12 + -3x = 24 + 12
Combine like terms:
-12 + 12 = 0
0 + -3x = 24 + 12
-3x = 24 + 12
Combine like terms: 24 + 12 = 36
-3x = 36
Divide each side by '-3'.
x = -12
Simplifying
x = -12</span>
