The measurement of two angles is 24° and 66°
Step-by-step explanation:
First of all, let us define complementary angles
The angles whose sum is 90° are called complementary angles
Given
∠K = (3x+3)
∠L = (10x-4)
According to the definition,
![K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91](https://tex.z-dn.net/?f=K%2BL%20%3D%2090%5C%5C3x%2B3%20%2B%2010x-4%20%3D%2090%5C%5C13x%20-1%20%3D%2090%5C%5C13x-1%2B1%20%3D%2090%2B1%5C%5C13x%20%3D%2091)
Dividing both sides by 13
![\frac{13x}{13} = \frac{91}{13}\\x = 7](https://tex.z-dn.net/?f=%5Cfrac%7B13x%7D%7B13%7D%20%3D%20%5Cfrac%7B91%7D%7B13%7D%5C%5Cx%20%3D%207)
So,
∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°
∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°
Hence,
The measurement of two angles is 24° and 66°
Keywords: Complementary angles, Angles
Learn more about complementary angles at:
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This would be A True, hope this helps !
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :
![v = x + ( x-3 )\\\\v = 2x - 3](https://tex.z-dn.net/?f=v%20%3D%20x%20%2B%20%28%20x-3%20%29%5C%5C%5C%5Cv%20%3D%202x%20-%203)
Now, distance travelled in 3 hours is (98-2) miles .
So,
![2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph](https://tex.z-dn.net/?f=2x-3%20%3D%20%5Cdfrac%7B96%7D%7B3%7D%5C%5C%5C%5C2x%20-%203%20%3D%2032%5C%5C%5C%5C2x%20%3D%2035%5C%5C%5C%5Cx%20%3D%2017.5%5C%20mph)
Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
<h3>
What is a polygon?</h3>
A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The sum of the exterior angles of a regular polygon will always equal 360
Given that;
- Exterior angle a = 25 degrees
- Exterior angle b = 146 degrees
- Exterior angle d = 149 degrees
25° + 146° + 149° + c = 360°
320° + c = 360°
c = 360° - 320°
c = 40°
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
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3x + 4y = - 8
The equation of a line in standard form is Ax + By = C
where A is a positive integer and B, C are integers
Express the line in ' slope- intercept form '
y = mx + c → (m is the slope and c is the y-intercept)
here m = -
and c = - 2
hence y = -
x - 2 → equation in slope- intercept form
multiply all terms by 4
4y = - 3x - 8
add 3x to both sides
3x + 4y = - 8 → in standard form