In the diagram, the length of segment TR can be represented by 5x – 4. Line n is a perpendicular bisector of line segment T V. I
t intersects line segment T V at point R. Line n also contains points Q and S. Line segment Q V is 3 x + 4. Line segment R V is 2 x + 5. Line segment T S is 6 x minus 3. What is the length of segment VS? 3 units 11 units 13 units 15 units
2 answers:
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Answer:
50 miles.
Step-by-step explanation:
Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week.
With a full tank of gas he can drive 100 miles.
Question asked:
How many miles can he drive on the weekend, before he he fills up again?
Solution:
With full tank he can drive a total distance = 100 miles
Each day of the work week, he drives = 10 miles
Total miles, he drive in whole work week (Monday - Friday) =
<em>Now, to find that many miles he can drive on the weekend (Saturday and Sunday), we will subtract total miles, he drive in whole work week from the total distance, he can drive with full tank of gas:-</em>
100 - 50 = 50 miles.
Therefore, he can drive 50 miles on the weekend, before he he fills up again.
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be meters and
.
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒ ...equation (i) ⇒
...equation (ii)
Dividing equation (i) and (ii)
⇒
⇒
⇒
⇒
⇒
⇒
⇒ meters
To find plugging
in equation (i)
⇒
⇒
⇒ meters
The height of the cliff from ground :
⇒
⇒
⇒ meters
The cliff is 45 m tall to the nearest meter.
