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VashaNatasha [74]
3 years ago
10

If the perimeter of triangle ABC is 45, what is the perimeter of triangle CRB?

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

b. 54

Step-by-step explanation:

45 is original perimeter for ABC. You subtract 16 and 9 from 45 to get the missing side B which is 20. To answer the the perimeter for triangle CRB you add 20 to the other sides which is 15 and 19. The total is 54.

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How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5y=15x−40 y=3x−8 ​ C
Ksenya-84 [330]

Answer:

(C) Infinitely many solutions

Step-by-step explanation:

Converting the lines into the from ax+by+c=0

5y=15x-40\\\Rightarrow 15x-5y-40=0

y=3x-8\\\Rightarrow 3x-y-8=0

\dfrac{a_1}{a_2}=\dfrac{15}{3}=5

\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5

\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5

So, \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}.

Hence, these lines have infinitely many solutions.

3 0
3 years ago
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 4 inches, and the larger gear has a ra
pychu [463]
Draw a diagram to illustrate the problem as shown below.

When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.

Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°

Answer: 205.7° (nearest tenth)

Part 2
When the larger gear makes one rotation, it sweeps an arc length of 
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions

Answer:
The smaller gear makes 1.75 rotations

7 0
3 years ago
An amount of $ 8,000 was invested at 6% interest that is compounded yearly. The equation
sladkih [1.3K]

Answer:

The answer is 12000 roundes to the neatest thousand

Step-by-step explanation:

In your calculator just substitute 7 into t

8000 ×1.06 to the power of 7

8 0
2 years ago
Please help asap, thanks!!
labwork [276]

Answer:

y=0

Step-by-step explanation:

m=y change in y/change in x

2+3/-2+2 = 5/0

6 0
3 years ago
Is 83 a prime or composite number? <br> Please help me out....
adoni [48]
To find out if a number is prime or composite, divide the number by 2. If it gives no remainder, it is a composite number. Otherwise, it's a prime number.

83 / 2 = 41 R 1
It has a remainder, so it's a prime number.
5 0
3 years ago
Read 2 more answers
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