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3 years ago

Find the measure of angle a

Mathematics

1 answer:

quester [9]3 years ago

6 0

Answer is 49.2

Total of all angles = 360

(x+16) + (x) + ( 6x-4) + (2x+16) = 360

10x + 28 = 360

X= 33.2

Angle A = x+16= 33.2+16= 49.2

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How to solve 4x-c=k solve for x

Tresset [83]

Answer:

$x = \frac{k + c}{4}$

Step-by-step explanation:

Given:

$4x - c = k$

Solve for:

$x$

Solution:

(1) Let's move all of components that do not contain $x$ (our target) to the right side (notice the change of sign of $c$ from negative to positive):

$4x = k + c$

(2) Let's divide both sides of equation by 4:

$\frac{4x}{4} = \frac{k + c}{4}$

(3) Now, we simplify the left side:

$x = \frac{k + c}{4}$

This is the solution.

Hope this helps!

3 0

3 years ago

Cody wants to watch a movie that is 3 hours long he has watched 1/6 of the movie. How much time did Cody spend watching the movi

Anettt [7]

Answer:

3 hours is 60×3=180

1/6 of 180 =180÷ 6= 30

30 mins is the answer

Step-by-step explanation:

if you want to find another position other than 1/6 like 4/6 then you can just times the answer in this case 30 by the amout u need in this case 4 so 4/6 would be 120 which is 2 hours

8 0

3 years ago

Two joggers run 8 miles north and then 5 miles west. What is the shortest

Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

$b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles$