Answer: C
Step-by-step explanation: Round to the nearest 100
The artistic crop isn't helpful; it cuts off some vertex names.
The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so
EH² = HL² + EL²
EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339
Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.
Answer: 4.25
If 1/5 of the cakes are fruitcakes, then
![1- \frac{1}{5} = \frac{4}{5}](https://tex.z-dn.net/?f=1-%20%5Cfrac%7B1%7D%7B5%7D%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20)
of the cakes are sponge cakes. To convert to a percentage, we simply multiply by 100, for a result of
![\frac{4}{5}*100= \frac{400}{5}=80](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%2A100%3D%20%5Cfrac%7B400%7D%7B5%7D%3D80%20%20)
percent sponge cakes.
Answer:
Clare didn't change the inequality symbol in the last step to >
Step-by-step explanation:
Given inequality is:
![-4x+3](https://tex.z-dn.net/?f=-4x%2B3%3C23)
Clare's error was in the last step where she multiplied the inequality by -4 to remove the minus sign with x. When an in equality is multiplied/Divided by a negative number then the sign of inequality is reversed. < is changed to > and > is changed to less than.
The answer must have been x > -5
The correct way to solve is:
![-4x+3](https://tex.z-dn.net/?f=-4x%2B3%20%3C23%5C%5C-4x%3C20%5C%5Cx%3E-5)
Hence,
Clare didn't change the inequality symbol in the last step to >