Suppose ray AT bisects Angle CAR. If the measure of Angle CAT is 5x, and the measure of Angle CAR is 9x + 7, what is the measure of Angle TAR? what is the value of x?

x=7

Step-by-step explanation:

since the ray bisects we know <CAT and <TAR are equal

so we can set up the equation like this: <CAT + <CAT = <CAR

(5x)+(5x)=(9x+7)

calculate equation and you'll get x=7

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!