If angle a and angle b are supplementary angles and angle a is nineteen times as large as angle b, find the measures of angle a and angle b.

Angle A= 135 degrees

Angle B= 45 degrees

Step-by-step explanation:

If x equals the measure of angle ​B, then  3x equals the measure of angle A.

Since these angles are​ supplementary, the sum of the angles is  180 degrees.

Solve for x.

x+3x  =180

4x =180

x=45

​Therefore, angle B is 45 degrees​, and angle A is three times as large as angle ​B, or 135 degrees.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: