137500
40%+15%=55%
55%/100=0.55
250000*0.55=137500
250000-137500=112500
Answer:
The measure of all the three angles of the triangle are;
56°, 72° and 52°
Step-by-step explanation:
The given parameters are;
The measure of the exterior angle of the triangle = 124°
The measure of one of the opposite interior angle = 72°
Therefore, we have;
The measure of the interior angle adjacent to the exterior triangle = 180° - 124° = 56° (Sum of angles on a straight line)
From the sum of the interior angles in a triangle = 180°, we have;
The measure of the third interior angle of the triangle = 180° - 56° - 72° = 52°
Therefore, the measure of all the three angles of the triangle are;
56°, 72° and 52°.
<span>Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).
</span>y = 4x – 2 has slope = 4
<span>parallel lines have same slope so slope = 4
</span><span>passes through the point (–1, 5).
</span><span>y = mx+b
5 = 4(-1) + b
b =9
equation
y = 4x + 9
answer
The slope of y = 4x – 2 is 4
The slope of a line parallel to y = 4x – 2 is 4
The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = 4x + 9</span>
Answer:
x=−6−√105 or x=−6+√105
Step-by-step explanation:
Set the function equal to 0
0=x²+12x−69 Subtract x² from both sides.
0−x²=x²+12x−69−x²
−x²=12x−69 Subtract 12x from both sides.
−x²−12x=12x−69−12x
−x²−12x=−69 Divide both sides by -1.
![\frac{-x^{2}-2x }{-1} = \frac{-69}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B-x%5E%7B2%7D-2x%20%7D%7B-1%7D%20%3D%20%5Cfrac%7B-69%7D%7B-1%7D)
x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.
x²+12x+36=69+36
x²+12x+36=105 Factor left side.
(x+6)²=105 Take square root of both sides
x+6=±√105 Add -6 to both sides.
x+6+−6=−6±√105
x=−6±√105 Write out both solutions
x=−6−√105 or x=−6+√105
If this answer is correct, please make me Brainliest!
ANSWER
1. No solution
2. 4 and 6
3. 81
EXPLANATION
1. The given quadratic equation is
![{x}^{2} + 1 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%201%20%3D%200)
This implies that:
![{x}^{2} = - 1](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20-%201)
There is no real number whose square is negative one.
This quadratic equation has no solution.
2. The given quadratic equation is
![{x}^{2} - 10x + 24 = 0](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2010x%20%2B%2024%20%3D%200)
We split the middle term with -6,-4 because their product is 24 and their sum is -10
![{x}^{2} - 6x - 4x+ 24 = 0](https://tex.z-dn.net/?f=%7Bx%7D%5E%7B2%7D%20%20-%206x%20%20-%204x%2B%2024%20%3D%200)
We factor by grouping
![{x}(x - 6)- 4(x - 6)= 0](https://tex.z-dn.net/?f=%7Bx%7D%28x%20%20-%206%29-%204%28x%20-%206%29%3D%200)
![(x - 6)(x - 4)= 0](https://tex.z-dn.net/?f=%28x%20%20-%206%29%28x%20-%204%29%3D%200)
We have x=4 and x=6.
3. The given quadratic equation is
![{x}^{2} - 18x = 7](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20-%2018x%20%3D%207)
We the square of half the coefficient of x to both sides of the equation.
![( - \frac{18}{2} )^{2} = ( { - 9)}^{2} = 81](https://tex.z-dn.net/?f=%28%20%20-%20%20%5Cfrac%7B18%7D%7B2%7D%20%29%5E%7B2%7D%20%20%3D%20%28%20%7B%20-%209%29%7D%5E%7B2%7D%20%20%3D%2081)
The correct choice is C.