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2 years ago

BC = 6x + 6, AB = 8 +9, and AC = 141. Find BC

Mathematics

1 answer:

Dahasolnce [82]2 years ago

3 0

Answer: 60

Step-by-step explanation:

Since AB and BC creates AC, we can add them together to find x, then use that to find the value of BC.

8x+9+6x+6=141 [combine like terms]

14x+15=141 [subtract both sides by 15]

14x=126 [divide both sides by 14]

x=9

Now that we have found the value of x, we can plug that into BC.

6(9)+6 [multiply]

54+6 [add]

Now, we know the length of BC is 60.

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Solve the system using substitution. Check your solution.<br> 2x - y= 65<br> 5y = x

lyudmila [28]

Answer:

The solutions to the system of equations are:

$x=\frac{325}{9},\:y=\frac{65}{9}$

Step-by-step explanation:

Given the system of the equations

$\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}$

isolate 'x' for 2x-y

$2x-y=65$

Add y to both sides

$2x-y+y=65+y$

$2x=65+y$

Divide both sides by 2

$\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}$

$x=\frac{65+y}{2}$

$\mathrm{Subsititute\:}x=\frac{65+y}{2}$

isolate 'y' for $5y=\frac{65+y}{2}$

$5y=\frac{65+y}{2}$

$10y=65+y$

subtract y from both sides

$10y-y=65+y-y$

$9y=65$

Divide both sides by 9

$\frac{9y}{9}=\frac{65}{9}$

$y=\frac{65}{9}$

$\mathrm{For\:}x=\frac{65+y}{2}$

$\mathrm{Subsititute\:}y=\frac{65}{9}$

$x=\frac{65+\frac{65}{9}}{2}$

$x=\frac{325}{9}$

The solutions to the system of equations are:

$x=\frac{325}{9},\:y=\frac{65}{9}$

3 0

3 years ago

What is 45 * 89 + 67 <55 - 56 =

gladu [14]

Answer:

False

Step-by-step explanation:

Use the order of operations

45 * 89 = 4005

4005 + 67 = 4072

55 - 56 = -1

4072 < -1

The answer is false.

4 0

3 years ago

Read 2 more answers

Write an equation that represents the line.

Fynjy0 [20]

Answer:

Y = 2/3X + 4/3

Step-by-step explanation:

(1,2) (4,4)

M = 2/3

Y = 2/3X + b

4 = 8/3 + b

12 = 8 + 3b

4 = 3b

B = 4/3

Y = 2/3X + 4/3

4 0

2 years ago

Sally jobs pays her 1500.00 per month what is her weekly wage?

Aleksandr [31]

1500.00/4 is 375. 4 weeks in a month. so her wage is 375

3 0

2 years ago

A number that is a multiple of 2 is also a multiple of 4.If a number is a multiple of 2, then it a multiple of 4. False If a num

valentina_108 [34]

Answer:

If a number is a multiple of 2, it may NOT be a multiple of 4. An example would be the number 6.

$6\div2=3$ , but $6\div4=1.5$ .

However, if a number is multiple of 4, it is guaranteed to be a multiple of 2, since 4 itself is a multiple of 2.

Example:

$8\div4=2$

This is simply

$8\div2\div2=2$ .

It is a multiple of 2 twice.

6 0

3 years ago

Read 2 more answers