Step-by-step explanation:
S+T+U=180°{sum of angle of triangle}
- 68°+90°+U=180°
- U=180-158°
- U=22°
sin theta= p/h
sin22°=x/83
o.37=x/83
x=0.37×83
x=30.71
x=31
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Answer:
-6 3/8 < -7/8
Step-by-step explanation:
Answer:
-6 3/8 < -7/8
Showing Work
Using the given inputs:
-6 3/8 -7/8
Rewriting these inputs as improper fractions:
-51/8 and -7/8
Since we have like denominators we compare the inputs by the numerators:
Therefore, comparison shows:
-6 3/8 < -7/8
Answer:
The coordinates of the mid-point are :

Step-by-step explanation:
We know that, the coordinates of the mid-point (<em>x</em>, <em>y</em>) of a line segment joining the points (<em>x</em>₁, <em>y</em>₁) and (<em>x</em>₂, <em>y</em>₂) is given by

Now, we have the given points as (3, 5) and (-2, 0).
By using the above formula, coordinates of the mid-point (<em>x</em>, <em>y</em>) of the line-segment joining the points (3, 5) and (-2, 0) is given by,


∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is
.
The area of the small rectangle is 3 units square.