Tim rode 8 miles due north, then 3 miles due east. How far, to the
nearest mile, is Tim from where he started?

c = 8.54  

Step-by-step explanation:

Use Pythagorean theorem and sketch a right triangle with side lengths of 8 and 3, with the hypotenuse labeled as x.

Use the formula a² + b² = c²

8² + 3² = c²     Plug in your two numbers into variable

64 + 9  = c²     Simplify the squared numbers

73    = c²     Add them together

√72 = c     Divide the squared variable by using the opposite operation, square rooting

c = 8.54    Plug number into calculator and round

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq