Board 1
C
(3x + 16)°
7
(5x - 54)
Board 2
Enter the measure of ZC.

59°

Step-by-step explanation:

From the question given, we obtained the following:

C + (3x + 16) = 180 (sum of angle on a straight line)

5x – 54 = 3x + 16 (Altanate angles are equal)

Next, we shall determine the value of x.

This can be obtained as follow:

5x – 54 = 3x + 16

Collect like terms

5x – 3x = 16 + 54

2x = 70

Divide both side by the coefficient of x i.e 2

x = 70/2

x = 35

Finally, we shall determine the value of C as shown below:

C + 3x + 16 = 180

But, x = 35

C + 3(35) + 16 = 180

C + 105 + 16 = 180

C + 121 = 180

Collect like terms

C = 180 – 121

C = 59°

Therefore, the value of C is 59°

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.