The mean of the data is 15 all you gotta do is add all the number up and divide by the numbers added
Answer:
3rd option: x= 40
Step-by-step explanation:
4x° +20°= 180° (adj. ∠s on a str. line)
<em>Bringing</em><em> </em><em>constants</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>:</em>
4x°= 180° -20°
<em>Simplify</em><em>:</em>
4x°= 160°
<em>Divide</em><em> </em><em>by</em><em> </em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
x°= 40°
Thus, x=40.
Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.
Therefore time for forward journey = x / 60
Return journey = x / 50
The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8. LCM = 300
Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
11x <= 2400
x <= 2400/11
x <= 218.18
The picnic spot must be less than or equal to 218.18 km.
Answer:
y=145 and x=55
Step-by-step explanation:
Subtract 180 by 35 for y and 90-35 for x. Hope this helps again. Lol
Answer:
A, C, F
Step-by-step explanation:
Definition: The circumcenter is the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).
Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.
Option C is true, because HD and HE are the radii of the circumcircle.
Option D is false. This option is true for inscribed circle, not for circumcircle.
Option E is false. This option is true for inscribed circle, not for circumcircle.
Option F is true, because both these angles are right angles.
