Answer:
x=−2y+4
Step-by-step explanation:
Answer:
<h2>Given:</h2>
A ∆ with an exterior angle :116° & two interior angles 7x+6 & 4x
<h2>To find :</h2>
The value of angle 7x+6
<h2>Solution:</h2>
we know that ,
The measure of an <em><u>exterior angle</u></em> of a triangle is <em>equal to</em> the <em>sum of</em> the measures of the <em><u>two non adjacent interior angles</u></em> of the triangle.
so,
![7x + 6 + 4x= 116 \\ 11x + 6 = 116 \\ 11x = 116 - 6 \\ 11x = 110 \\ x = 110 \div 11 \\ x = 10](https://tex.z-dn.net/?f=7x%20%2B%206%20%20%2B%204x%3D%20116%20%5C%5C%2011x%20%2B%206%20%3D%20116%20%5C%5C%2011x%20%3D%20116%20-%206%20%5C%5C%2011x%20%3D%20110%20%5C%5C%20x%20%3D%20110%20%5Cdiv%2011%20%5C%5C%20x%20%3D%2010)
so ,the measure of green angle would be
![7x + 6 \\ placing \: the \: value \: of \: x \: as \: 10 \\ 7 \times 10 + 6 \\ = 70 + 6 \\ = 76](https://tex.z-dn.net/?f=7x%20%2B%206%20%5C%5C%20placing%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20x%20%5C%3A%20as%20%5C%3A%2010%20%5C%5C%207%20%5Ctimes%2010%20%2B%206%20%5C%5C%20%20%3D%2070%20%2B%206%20%5C%5C%20%20%3D%2076)
<h2>Verification:</h2>
To verify our answer ,the sum of the resultant value of green angle and 4x should be 116°(the exterior opposite angle)
so,
![7x + 6 + 4x = 116 \\ 7 \times 10 + 6 + 4 \times 10 = 116 \\ 70 + 6 + 40 = 116 \\ 76 + 40= 116 \\ 116 = 116 \\ \\ hence,\: verified](https://tex.z-dn.net/?f=7x%20%2B%206%20%2B%204x%20%20%3D%20116%20%5C%5C%207%20%5Ctimes%2010%20%2B%206%20%2B%204%20%5Ctimes%2010%20%3D%20116%20%5C%5C%2070%20%2B%206%20%2B%2040%20%3D%20116%20%5C%5C%2076%20%2B%2040%3D%20116%20%5C%5C%20116%20%3D%20116%20%5C%5C%20%20%5C%5C%20hence%2C%5C%3A%20verified)
Answer:
y = 1/2x -2
Step-by-step explanation:
The 2-point form of the equation for a line is useful for answering questions like this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . equation of a line through (x1, y1) and (x2, y2)
Filling in the given points, the equation becomes ...
y = (-4 -(-5))/(-4 -(-6))/(x -(-6)) -5
y = 1/2(x +6) -5
y = 1/2x -2
Answer:
5/6
Step-by-step explanation:
When dividing fractions, multiply by the reciprocal:
2/3 ÷ 4/5
2/3 x 5/4
Multiply the numerators and denominators by each other:
= 10/12
Simplify by dividing the numerator and denominator by 2:
= 5/6
The answer is 5/6
Answer:
(-1,0)
Step-by-step explanation:
It is decreasing when the "slope" of the function is negative. That only happens on the blue curve from x = -1 to x = 0. In interval notation, that's (-1,0)