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UNO [17]
3 years ago
11

In △ABC , point R is between points A and B, point T is between points B and C, and RT¯¯¯¯¯∥AC¯¯¯¯¯ . AR=21 cm , AB=37 cm , and

BC=111 cm . What is BT ?
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

48

Step-by-step explanation:

Took the test

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NEED HELP WITH THESE QUESTIONS
amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =

Applying double C we have:

\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =

Canceling common terms:

\frac {mn ^ 5} {p ^ 4}

Answer:

Option A

Question 2:

We should simplify the following expression:

\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}

So, we have:

\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =

Simplifying common terms:

\frac {1} {y ^ 2z ^ 2}

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em>r ^ 2 + 7r + 10: </em>We look for two numbers that multiplied give 10 and added 7:

(r + 5) (r + 2)

<em>r ^ 2-5r-50:</em> We look for two numbers that multiplied give -50 and added -5:

(r-10) (r + 5)

<em>3r-30 = 3 (r-10)</em>

Rewriting the given expression we have:

\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =

We simplify common terms in the numerator and denominator we have:

(r + 2)

Answer:

Option D

4 0
3 years ago
Read 2 more answers
Please find the surface area of each figure to the nearest tenth? Please show the work too...
MrRa [10]
The first one is 31.875 and the second is 12 I don't know how to explain to get it. Sorry
7 0
3 years ago
How has math shaped our culture
Nata [24]
I like math so i think it's good for me
5 0
3 years ago
I need help pls someone
Solnce55 [7]

In this question they've given us the formula and they just want us to plug in the numbers and get the value.


P is the original value, P=$600


r is the depreciation rate, r=10%=0.1


t is the time in years, t=2


A = P(1-r)^t = 600(1 - 0.1)^2 = 600 \cdot .9^2 = 486


Answer: $486






7 0
3 years ago
A car rents for $250 per week plus $0.50 per mile.find the rental cost for a two-week trip of 500 miles for a group of three peo
Artyom0805 [142]
So 2 weeks mean
250x 2= 500
Then .50 per mile so 500 miles mean
.50 x 500= 250
In total it will be
500+250= 750
5 0
3 years ago
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