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Y_Kistochka [10]
3 years ago
5

What value of x makes the 2 triangles congruent by SAS? Find the length of FE

Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

x = 4

FE = 8

Step-by-step explanation:

Congruent means equal. Notice how both F and C equal 30 degrees while line AC and line DF are both equal to 9 inches. This means we can equal line CB to line FE to find the value of x:

2x = x + 4

Isolate variable x by subtracting both sides by x:

2x - x = x - x + 4

x = 4

Check your work:

2(4) = 4 + 4

8 = 8

Correct

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Rounding number to the nearest hundredth
bearhunter [10]

Answer:

the answer is 11.66

Step-by-step explanation:

because 3 cant give 0 anything 9 will make 1, 2 but 2 cant change 6

6 0
2 years ago
Read 2 more answers
4(2x+8)=10x+2-2x+30 what is x?
Anastaziya [24]

Let's solve your equation step-by-step.

4(2x+8)=10x+2−2x+30

Step 1: Simplify both sides of the equation.

4(2x+8)=10x+2−2x+30

(4)(2x)+(4)(8)=10x+2+−2x+30(Distribute)

8x+32=10x+2+−2x+30

8x+32=(10x+−2x)+(2+30)(Combine Like Terms)

8x+32=8x+32

8x+32=8x+32

Step 2: Subtract 8x from both sides.

8x+32−8x=8x+32−8x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Answer:

All real numbers are solutions.

5 0
3 years ago
Which of these is a point-slope equation of the line that is perpendicular to y-25=2(x-10) and passes through (-3,7)
OLEGan [10]
Y = 2x +13

We know the slope to be 2 because lines that are parallel have the same slope. Then we can solve using slope-intercept form and  the known point. 

y = mx + b ----> Input known values
7 = (2)(-3) + b ---> Multiple
7 = -6 + b ----> Subtract 3 from both sides
13 = b

Now we can use the y-intercept found and the slope to write the equation above. 
4 0
3 years ago
Read 2 more answers
In a recent study of 42 eighth graders, the mean number of hours per week that they watched television was 19.6. Assume the popu
olya-2409 [2.1K]

Answer:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

Step-by-step explanation:

Information given

\bar X= 19.6 represent the sample mean

\mu population mean

\sigma= 5.8 represent the population deviation

n=42 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, given by:

df=n-1=42-1=41

Since the Confidence is 0.98 or 98%, the significance would be \alpha=0.02 and \alpha/2 =0.1, and the critical value would be t_{\alpha/2}=2.42

Replacing we got:

19.6-2.42\frac{5.8}{\sqrt{42}}=17.43    

19.6+2.42\frac{5.8}{\sqrt{42}}=21.77    

And the best option for this case would be:

a. (17.5, 21.7)

8 0
3 years ago
Jc bent 26.32 on 8 gallons of gas how much wood he spend for 20
dedylja [7]
1) divide 26.32 by 8 = 3.29
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3) he would spend 65.80 on 20 gallons of gas
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