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8090 [49]
2 years ago
6

If AD = 6x – 4 and AC = 4x – 3, find CD.

Mathematics
1 answer:
murzikaleks [220]2 years ago
8 0

Answer:

Since C is the mid point,

therefore, (6x - 4)/2 = 4x-3

=> 6x - 4 = 2X(4x-3) = 8x - 6

=> 6x - 8x = -6 + 4

=> -2x = -2

=> x = (-2)/(-2) = 1

Hence, CD = AC = 4x - 3 = 4X1 - 3 = 1

Step-by-step explanation:

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Can someone help me ?
lozanna [386]

Answer:

10 > v (if you don't trust me, check it yourself. Subsitute v for 10 in the first equation.

Step-by-step explanation:

1) 7 > v - 3

2) add 3 to both sides

3) so 7 plus 3 equals 10

So you basically do this

7 > v - 3 (ad 3 to both sides)

You get 10 > v (which is as simplified as possible)

Hope this helps! :)

8 0
3 years ago
18. Solve the equation.<br> m- 10/3 - 5m-9/7 = 1
JulijaS [17]

The answer is m = -59/42

Step by step explanation is in the image below.

4 0
3 years ago
Mathhhhhhh testtttt Add a statement, equation and concluding statement
Tom [10]

Answer:

Charlene earns $700 per week

Kristi earns $550 per week

Sascha earns $800 per week

Step-by-step explanation:

Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.

Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.

<em>k+150+k+s=2050</em>

The next step here is to put the variables on one side and to put the numeric values on the other.

2k+s=1900

Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.

2(s-250)+s=1900

2s-500+s=1900

3s=2400

s= 800

We now have Sandra's weekly pay, which we can use to find the others' pay.

c= s-100

c= 800-100

c= 700

k= c-150

k= 700-150

k= 550

7 0
2 years ago
If two people who cannot digest lactose as adults reproduce, what is the probability that their children will be able to digest
sweet [91]
It is very unlikely that the children will be able to digest lactose. 
6 0
3 years ago
Read 2 more answers
An analyst in Bank of America, Santa Clara University Branch, believes that on Mondays customers arrive at the bank with rate 50
Aleksandr-060686 [28]

Answer:

0.0821

Step-by-step explanation:

If the arrival rate is 50 customers per hour (60 minutes), then the expected number of customers in 3 minutes is:

\lambda=\frac{50}{60}*3\\ \lambda=2.5\ customers/3\ minutes

Assuming a Poisson distribution with 2.5 customers per 3 minutes, the probability that zero customers arrive for 3 minutes is:

P(x=k)=\frac{\lambda^k*e^{-\lambda}}{k!}\\P(x=0)=\frac{2.5^0*e^{-2.5}}{0!}\\ P(x=0)=0.0821

The probability that the bank stays empty for three minutes is 0.0821.

6 0
3 years ago
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