Answer:
165km
Step-by-step explanation:
If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment
Now:
Distance=Speed X Time
D=66 X t=66t.....(I)
If she leaves in 40 minutes,and she must get there at the same time, her new drive time will be:
t hours - 40 minutes
=(t-40/60)hours=( t-2/3) hours
Her Distance this time
D=90(t-2/3)=90t-60.....(ii)
Since the distance to Alton does not change, we equate (I) and (ii)
66t=90t-60
60=90t-66t
60=24t
t=2.5 hours
From equation (I)
Distance=66t=66X2.5=165km
Distance to Alton is 165km.
Answer:
about 16°
Step-by-step explanation:
Make sure your calculator is in degree mode.
Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:


Answer:
Z=1
Step-by-step explanation:
Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram<span> bisect each other. Each </span>diagonal of a parallelogram separates it into two congruent triangles.<span> A square has got 4 sides of equal length and 4 right </span>angles<span> (right </span>angle<span> = 90 degrees). Since ALL the </span>angles<span> in a</span>quadrilateral add up<span> to 360 then 360 divided by 4 must be 90.</span>