Please help! This is Geometry I don't know what to do

Mathematics

1 answer:

velikii [3]3 years ago

7 0

Answer:

$\huge\boxed{x=6}$

Step-by-step explanation:

$\triangle ABC\ \text{and}\ \triangle ADB\ \text{are similar (AA). Therefore corresponding sides are in proportion.}\\\\\dfrac{BD}{BC}=\dfrac{AB}{AC}\\\\\text{We have}\\\\BD=x\\BC=10\\AB=7.5\\AC=12.5\\\\\text{Subtitute:}\\\\\dfrac{x}{10}=\dfrac{7.5}{12.5}\\\\\dfrac{x}{10}=\dfrac{7.5\cdot10}{12.5\cdot10}\\\\\dfrac{x}{10}=\dfrac{75:25}{125:25}\\\\\dfrac{x}{10}=\dfrac{3}{5}\qquad|\text{cross multiply}\\\\(5)(x)=(3)(10)\\\\5x=30\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{30}{5}\\\\x=6$

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Suppose that there are 25 students in a class, each either a freshman, a sophomore, or a junior. How many students must be in th

Yakvenalex [24]

Answer:

at least 9 students in each cohort.

Step-by-step explanation:

Given that :

In a class, there are 25 students and each of them is either a sophomore, a freshman or a junior. We have to determine the number students in the same cohort.

Let us suppose there are equal number of students in each of the cohort.

Now let us assume that the number of the students in each cohort be 8, i.e. each as a freshman, a junior or a sophomore. Therefore, the total number in the all the cohorts will be 24 students only.

Thus, we can say that there are at least $9$ freshman, at least $9$ sophomore or at least $9$ junior in each of the cohort.