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3 years ago

Geometry help needed

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Because the triangles are congruent, corresponding sides are equal.
Thus, x=y+1 and 3y=x+3. Subst. y+1 for x in the 2nd equation:

3y = (y+1) + 3. Then 3y = y + 1 + 3, or 2y = 4, or y = 2.

Since x = y + 1, x = (2) + 1 = 3 (answer)

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What is ratios and how is it solved

slamgirl [31]

A ratio is how many times one number can go into another for example 1:2 is a ratio so say you had 10 and 20 what is the ratio of ten to 20 it would 1:2 because 10 is half of 20 and half of 2 is one

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4 years ago

A sample of 50 cotton threads shows the mean breaking strength to be 220 grams and the sample standard deviation to be 12 grams.

xenn [34]

Answer:

$220-2.01\frac{12}{\sqrt{50}}=216.589$

$220+2.01\frac{12}{\sqrt{50}}=223.411$

The confidence interval for this case would be (216.589, 223.411)

Step-by-step explanation:

Information given

$\bar X=220$ represent the sample mean

$\mu$ population mean

s=12 represent the sample standard deviation

n=50 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=50-1=49$

The Confidence level is 0.95 or 95%, the significance is $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value for this case is $t_{\alpha/2}=2.01$

And replacing we got:

$220-2.01\frac{12}{\sqrt{50}}=216.589$

$220+2.01\frac{12}{\sqrt{50}}=223.411$

The confidence interval for this case would be (216.589, 223.411)

6 0

3 years ago

8-4d=12 what is d equal to ?

NARA [144]

Answer:d=-1

Step-by-step explanation: you subtract 8 from both sides to get -4d=4 then divide -4 to get d alone. Which will get you to -1=d

4 0

3 years ago

Why is 16 : 12 and 40 : 30 equivalent?

statuscvo [17]

Answer: they’re both in the 4:3 ratio

Step-by-step explanation:

4:3 = 8:6 = 12:9 = 16:12 = 20:15 = 24:18 = 28:21 = 32:24 = 36:27 = 40:30, etc

3 0

3 years ago

Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge

adoni [48]

10*0.75 + 10*x $\leq$ 50
This is how our inequality looks where x represents items cost per bag.

10*x $\leq$ 42.5

x $\leq$ 4.25.

Marcus can spend $4.25 at most per bag.
The money he spent on buying bags we can calculate right away because we know how much one bag costs and how many bags he bought.

3 0

4 years ago