4 because each corner has 1
Simplifying
4x + 16 + -1x = 22 + 6
Reorder the terms:
16 + 4x + -1x = 22 + 6
Combine like terms: 4x + -1x = 3x
16 + 3x = 22 + 6
Combine like terms: 22 + 6 = 28
16 + 3x = 28
Solving
16 + 3x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 3x = 28 + -16
Combine like terms: 16 + -16 = 0
0 + 3x = 28 + -16
3x = 28 + -16
Combine like terms: 28 + -16 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4
I thinks it is matching pairs for random assignment on gender, age, & income status but I’m not sure
Answer:
One of the angles in the triangle might be 50.
AND
The length of the third side must be 11cm or smaller.
Step-by-step explanation:
-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.
-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)
-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)
-One of the angles in the triangle might be 50 (possibly, so very much true)
Let's simplify step-by-step.<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>−<span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span>
Distribute the Negative Sign:<span>=<span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>−7</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span><span><span><span><span>3<span>x2</span></span>−<span>5x</span></span>+2</span>+<span>5<span>x5</span></span></span>+<span>3<span>x4</span></span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+<span><span>−1</span><span>(<span>3<span>x2</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>−<span>5x</span></span>)</span></span></span>+<span><span>(<span>−1</span>)</span><span>(2)</span></span></span>+<span><span>−1</span><span>(<span>5<span>x5</span></span>)</span></span></span>+<span><span>−1</span><span>(<span>3<span>x4</span></span>)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+</span>−7</span>+</span>−<span>4x</span></span>+</span>−<span>3<span>x2</span></span></span>+<span>5x</span></span>+</span>−2</span>+</span>−<span>5<span>x5</span></span></span>+</span>−<span>3<span>x4</span></span></span></span>
Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span><span>6<span>x3</span></span>+<span>x5</span></span>+<span>2<span>x2</span></span></span>+<span>−7</span></span>+<span>−<span>4x</span></span></span>+<span>−<span>3<span>x2</span></span></span></span>+<span>5x</span></span>+<span>−2</span></span>+<span>−<span>5<span>x5</span></span></span></span>+<span>−<span>3<span>x4</span></span></span></span></span><span>=<span><span><span><span><span><span>(<span><span>x5</span>+<span>−<span>5<span>x5</span></span></span></span>)</span>+<span>(<span>−<span>3<span>x4</span></span></span>)</span></span>+<span>(<span>6<span>x3</span></span>)</span></span>+<span>(<span><span>2<span>x2</span></span>+<span>−<span>3<span>x2</span></span></span></span>)</span></span>+<span>(<span><span>−<span>4x</span></span>+<span>5x</span></span>)</span></span>+<span>(<span><span>−7</span>+<span>−2</span></span>)</span></span></span><span>= <span><span><span><span><span><span>−<span>4<span>x5</span></span></span>+<span>−<span>3<span>x4</span></span></span></span>+<span>6<span>x3</span></span></span>+<span>−<span>x2</span></span></span>+x</span>+<span>−9</span></span></span>
Answer:<span>=<span><span><span><span><span><span> −<span>4<span>x5</span></span></span>−<span>3<span>x4</span></span></span>+<span>6<span>x3</span></span></span>−<span>x2</span></span>+x</span>−<span>9</span></span></span>
