All categories

3 years ago

Let point C be between V and W on VW Given that VW = 61, VC = z + 13, and CW = z + 8, solve for z.

Mathematics

1 answer:

LenKa [72]3 years ago

3 0

VW = VC + CW
61 = z + 13 + z + 8 = 2z + 21
2z = 61 - 21 = 40
z = 40/2 = 20
z = 20.

You might be interested in

Help me please

kari74 [83]

Answer:

$\frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(9 0 - 20) } = 2 \\ \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(20) }{ \sin(20) } = 2 \\ 1 + 1 = 2 \\ 2 = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2 \\ \frac{ \cot(90 - 50) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(90 + 65) } = 2 \\ \frac{ \tan(50) }{ \tan(50) } + \frac{ \cos(65) }{ \cos(65) } = 2 \\ 1 + 1 \\ = 2$

6 0

3 years ago

1. Find an algebraic representation for an exponential function if it is known that f(x + 1) = 4.f(x)

MrMuchimi

$f(x)=4^{x-1}$ is the algebraic representation for an exponential function

Step-by-step explanation:

Given:

f(x + 1) = 4.f(x)

f(3) = 16

To Find:

Algebraic representation for an exponential function=?

Solution:

From the formula f(x+n) = $4^n$ f(x)

when n= 1, x= 3

f(3+1)= 4(1)f(3)

f(4)= 4f(3)

Substituting the value of f(3)

f(4)= 4f(3)

f(4)= 4 x 16

f(4)= 64

f(4)= $4^2$

f (5) = $4^2$ x 16

f (5) = $4^2$ x $4^2$

f(5)= $4^4$

Similarly,

F(6) = $4^5$

Hence, $f(x)=4^{x-1}$

4 0

3 years ago

Sara rolls a fair dice 600 times.<br> How many times would Sara expect to roll a six?

masya89 [10]

Answer:

100

Step-by-step explanation:

possibility of getting 6 in one roll = 1/6

Possibility of getting 6 in 600 rolls = 1/ 6 x 600 = 100

I hope im right!!!

6 0

3 years ago

What is the factorization of the trino Mila below -x^2 + 2x + 48

Alexxx [7]

Answer:

-(x-8)(x+6)

Step-by-step explanation:

-x^2+2x+48

-(x^2-2x-48)

-(x-8)(x+6)

The trick is to find two numbers that when they multiply, you get the third term, which in this case, is -48. And when you add those two numbers, you get the second term, which is -2 in this case. The two numbers in this case are -8 and 6.

4 0

3 years ago

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

goldenfox [79]

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

$\frac{12\text{ in}}{\$0.48}$