Answer:
<1 = < 2 = 6(5)+11 = 41 degrees
Step-by-step explanation:
6x+11 = 10x - 9
11+9 = 10x-6x
20 = 4x
x = 20/4
x = 5
Answer:
(4, -6)
Step-by-step explanation:
A reflection across the y-axis means the point is equal but opposite distance from the y-axis. It begins at 4 units to the LEFT (negative) of the y-axis, so after the reflection, it should be 4 units the the RIGHT (positive) of the y-axis. This has no change on the y-value of the point, because no matter the y-value, the point will still be the same distance from the y-axis. Long story short, if you're reflecting across the y-axis, change the sign of the x-coordinate. If you're reflecting across the x- axis, change the sign of the y-coordinate. That's why the answer is (4, -6).
Answer:
- secant slopes: -213.5, -187, -145, -113, -85
- tangent slope: -166
Step-by-step explanation:
A) the slope values you have put in your problem statement are correct. As you know, they are computed from ...
(change in gallons)/(change in time)
where the reference point for changes is P. Using the first listed point Q as an example, the secant slope is ...
(3410 -1275)/(5 -15) = 2135/-10 = -213.5 . . . . gallons per minute
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B) The average of the secant slopes for points Q adjacent to P is ...
(-187 +(-145))/2 = -332/2 = -166 . . . . gallons per minute
The tangent slope at point P is estimated at -166 gpm.
It is given in the question that ray QT bisects ㄥPQR.

And we have to find the measurement of angle PQR.
Since QT bisects angle PQR, therefore measurement of angle RQT and angle PQT are equal. That is

Substituting the value of x, we will get

And measurement of angle PQR is twice of the measurement of angle RQT, that is
