Answer:
Step-by-step explanation:
- Math session = 45 min = 3/4 hr
- French session = 30 min = 1/2 hr
- Number of math sessions = m, total math hours = 3/4m
- Number of French sessions = f, total French hours = 1/2f
<u>Total hours constraint:</u>
<u>Number of session constraint:</u>
<u>So the system is:</u>
Answer:
D. Lines coincide
Step-by-step explanation:
On dividing y/2y and 4/8 and x/2x you get 1/2. Since 1/2 is common answer for all the parts, lines will coincide.
Answer:
X=120
Step-by-step explanation:
It is an equalateral so all the angles in the middle are the same all being 60
The angle of a straight line is 180
So just minus 60 from 180 to get 120
180-60=120
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
