What is the value of x and how do you know

Mathematics

2 answers:

Oduvanchick [21]3 years ago

6 0

Step-by-step explanation:

$180 - 110 = 60 - 2 = 30 \\ so \: x = 30$

Nookie1986 [14]3 years ago

5 0

Answer:

x=35°

Step-by-step explanation:

So first, recall that the interior angles of a triangle must total 180°.

The sum of the angles for the given triangle can be described by:

$110+x+x\\=2x+110$

Since the total must equal 180°, set the expression equal to 180°.

$2x+110=180$

To find the value of x, we just need to solve for x.

To start, subtract 110 from both sides. The 110s on the left cancels:

$(2x+110)-110=(180)-110\\2x=70$

Now, divide both sides by 2. The 2s on the left cancel.

$\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree$

Therefore, the value of x is 35°.

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Need help with a system of equations

sweet [91]

Answer:

$\boxed{x - y = -2\sqrt{7}}$

Given:

$x + y = 4 \\ \\ {x}^{2} + {y}^{2} = 22 \\ \\ {x}^{4} = {y}^{4} - 176 \sqrt{7}$

Step-by-step explanation:

$= > {x}^{4} = {y}^{4} - 176 \sqrt{7} \\ \\ = > {x}^{4} - {y}^{4} = - 176 \sqrt{7} \\ \\ = > {( {x}^{2}) }^{2} - { ({y}^{2}) }^{2} = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} ) = - 176 \sqrt{7} \\ \\ = > ( {x}^{2} + {y}^{2}) (x + y)(x - y) = - 176 \sqrt{?} \\ \\ = > 22 \times 4(x - y) = - 176 \sqrt{7} \\ \\ = > 88(x - y) = - 176 \sqrt{7} \\ \\ = > x - y = - \frac{176 \sqrt{7} }{88} \\ \\ = > x - y = - 2 \sqrt{7}$