4.5 hours is 270 miles so just find out how long 60 miles takes and add that to 4.5 hours.
Answer:
and 
Step-by-step explanation:
The given complex number equation is:

We simplify the LHS and compare with the RHS
We collect LCD on the left to get:


Simplify to get:

Rationalize the LHS:

Expand the numerator using the distributive property and the denominator using difference of two squares.

Simplify to get:



By comparing real parts and imaginary parts; we have;
and 
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
Answer:
-3.03
Step-by-step explanation:
12.95 - 15.98 = -3.03
Hope that helps!
Answer:
(C) 10 units
Step-by-step explanation:
It is given that EFGH is a rhombus and EG = 16 and FH = 12.
We know that the diagonals of the rhombus are the perpendicular bisectors, therefore OF=6, OH=6, OE=8 and OG=8.
Now, using the Pythagoras theorem in ΔOFG, we have





Thus, the value of the side of the rhombus will be 10 units.
Hence, option C is correct.