Lucy packs plates faster she packs 5 plates every minute. Mike packs 4 plates every minute because 3/4 of an hour is 45 minutes, then you divide 180 by 45 and the answer is 4 per minute.
Franco would have to pack 90 plates every 20 minutes (1/3 of an hour) for his rate to be between Lucy's and Mike's. Lucy's rate is at 100 plates per 20 minutes because she can pack 5 plates every minute. Mike's it's at 80 plates per 20 minutes because he can pack 4 plates per minute. So that means that For Franco to be in the middle he has to pack 90 Plates every 20 minutes.
Hope this helps!!!
Answer:
The triangles can be congruent.
Step-by-step explanation:
They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.
The last side can be congruent if the diagonals are congruent in length by proving.
They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.
Answer:
-7-5a
Step-by-step
i simplified it if thats what it meant
Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.
Hope this helps.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823