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2 years ago

15

Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 stu

dent, one at a time, for 7 of an hour, how many students does she tutor?
6
8
12
24

1 answer:

guapka [62]2 years ago

6 0

Answer:

24 hope this helps

Step-by-step explanation:

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If RX=4 and XS=9, then XT=<br> And how do you get it?

konstantin123 [22]

Answer:

XT=6 units

Step-by-step explanation:

The picture of the question is the attached figure

step 1

In the right triangle RST

Applying the Pythagorean theorem

$RS^2=RT^2+TS^2$

we have

$RS=RX+XS=4+9=13\ units$ ---> by segment addition postulate

substitute

$RT^2+TS^2=169$ ----> equation A

step 2

In the right triangle RTX

Applying the Pythagorean theorem

$RT^2=RX^2+XT^2$

we have

$RX=4\ units$

substitute

$RT^2=4^2+XT^2$

$RT^2=16+XT^2$

$XT^2=RT^2-16$ ----> equation B

step 3

In the right triangle XTS

Applying the Pythagorean theorem

$TS^2=XS^2+XT^2$

we have

$XS=9\ units$

substitute

$TS^2=9^2+XT^2$

$TS^2=81+XT^2$

$XT^2=TS^2-81$ ----> equation C

step 4

equate equation B and equation C

$TS^2-81=RT^2-16$

$TS^2-RT^2=81-16$

$TS^2-RT^2=65$ ----> equation D

step 5

Solve the system

$RT^2+TS^2=169$ ----> equation A

$TS^2-RT^2=65$ ----> equation D

Solve by elimination

Adds equation A and equation D

$RT^2+TS^2=169\\TS^2-RT^2=65\\---------\\TS^2+TS^2=169+65\\2TS^2=234\\TS^2=117$

Find the value of RT^2

$RT^2+117=169\\RT^2=52$

step 6

Find the value of XT

equation C

$XT^2=117-81\\XT^2=36\\XT=6\ units$

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During first semester, the ratio of the number of students in art class to the number of students in gym class was 2:7. However,

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2 years ago

Daniel has 1 blue pencil and 5 yellow pencils in his backpack. He also has 2 pink erasers, 4 tan erasers, and 3 gray erasers in

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Answer:

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Step-by-step explanation:

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2 years ago

What are the extremes of the following proportion 3/15 = 12/60

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In a proportion there are letters assigned to represent various numbers. a, b, c, and d.

a, b, c, and d are 4 non-zero rational numbers that are terms of proportion.

a/b = c/d or a:b = c:d

a and d are the end terms or known as the extremes.
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With this information, we can gather that the extremes of the following proportion are 3 and 60.

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