A rhombus has four congruent sides. Without loss of generality, we denote the rhombus by the consecutive points PQRS.
1. Draw diagonal PR.
2. Consider triangle PQR. We conclude that PQ=RQ because a rhombus has four congruent sides. Triangle PRQ is isosceles => angles QPR and QRP are congruent.
3. Similarly, PS=RS. Triangle PSR is isosceles.
4. PR (diagonal) is common side, so triangles PQR is congruent to PSR (SSS).
5. Therefore angles QRP=QPR=SPR=SRP.
6. Since angles QPR=SPR, and SPR=QPR, we conclude that the diagonal PR is an angle bisector.
Finally, using similar arguments, we can show that diagonal QS bisects angles at Q and S.
Alright so I'm gonna set up an inequality for this. Let x be the hours
50 + 9x ≤ 200
9x ≤ 150
x ≤ 16.6
They said that the car cannot be rented for part of an hour so that means we must found it down. the max she can rent it for is 16 hours.
Check: 9*16 + 50 = 194 which is just under her budget
Answer:
out of 36 rolls, 15 were positive. 15/36 simplified is 5/12
The UK got warmer because Celsius is used to measure more extreme values. Hope this helps :)
To get the ratio first add both sides of the ratio then divide it by the number of the cars then you get a 30 per 1 ratio so then if you times 30 to 3 that means it is 90 and then there are 150 blue cars using that math and to make sure that is right you can check it by adding the total red cars and blue cars you got. 150 + 90 = 240 which is the total. so your answer is 90 Red Cars