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3 years ago

What can you conclude about the hypotenuse of the two triangles?

Mathematics

1 answer:

kogti [31]3 years ago

5 0

Answer: C

Step-by-step explanation:

Since the sides are marked with the little lines, you know they are congruent with each other. Since the sides are congruent, you know the hypotenuse will be congruent.

You can argue that these triangles are similar, but the difference is that similar triangles are the same shape, but not the same size. These triangles are congruent because they are the same size and shape. Therefore, the hypotenuse is congruent.

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Your parents allow you to borrow a car to get to your part-time job, but you have to pay for a tank of gas each month. Gasoline

alex41 [277]

The answer to this question is the letter "A" which is $20.70. The solution is shown below:

If the guy will solely use the car, his expenses for the gasoline per month is:
Guy alone = $ 2.76/gallon * 15 gallons = $ 41.4

If the guy will let his two officemates ride the car and contribute each quarter of the of a tank:
First officemate = 15/4 * $2.76 = $ 10.35
Second officemate = 15/4 * $2.76 = $10.35

The guy total savings is shown below:
Total savings = $41.4 - $10.35 -$10.35
Total savings = $20.70

The answer is the letter "A".

5 0

3 years ago

Is a tray with a circumference of 32 inches is big enough to

yKpoI14uk [10]

Answer:

Yes

Step-by-step explanation:

Circumference formula is C=2 pi r, if you divide the pizza by 2 to get the radius,5, then input it into the formula to get 31.41592654, and since this number is smaller than 32 it will fit. If 10 is the radius it will not fit.

7 0

3 years ago

When the x is slove and you have to slove for the y i got how to do it but i don't know which one am i sloving for in the equati

harina [27]

Since x=8y, subsitute 8y for x in other equation

y=6x-11
y=6(8y)-11
y=48y-11
minus y both sides
0=47y-11
add 11 to both sides
11=47y
divide both sides by 47
$\frac{11}{47}=y$
subsitute taht for y to find x

x=8y
$x=8(\frac{11}{47})$
$x=\frac{88}{47}$

$x=\frac{88}{47}$
$y=\frac{11}{47}$
in (x,y) form
(x,y)
$(\frac{88}{47},\frac{11}{47})$

3 0

3 years ago

In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 i

kati45 [8]

Answer:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degrees of freedom

And the statistic to check the significance of a coeffcient in a regression is given by:

$t_1 = \frac{\hat{\beta_1} -0}{S.E (\hat{\beta_1})}$

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:

Always

4 0

3 years ago

Determine the value of x in the diagram

Sidana [21]

Answer:

3x + x + 3x + x = 360

8x = 360

x = 45

3(45)= 135

Step-by-step explanation:

3 0

3 years ago