(x^ 3 + y ^3) divided by (x

In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.

inessss [21]

Answer:

No

Step-by-step explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

7 0

3 years ago

How do you divide decimals

velikii [3]

Answer:

Step-by-step explanation:If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. ...

Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.

7 0

3 years ago

Write 5^3 x √5 as a single power of 5

MakcuM [25]

√5 = 5^(1/2)

Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:

1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)

5 0

2 years ago

What is the unit rate for $290 for 18

natka813 [3]

Answer:

16.1

Step-by-step explanation:

7 0

3 years ago

A psychological experiment was conducted to investigate the length of time (time delay) between the administration of a stimulus

aleksklad [387]

Answer:

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject $H_0: \mu= 1.6$ , we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

The significance level for this test is 0.05.

Step-by-step explanation:

In this case, we want to prove if there is significant evidence that the mean differs from 1.6 seconds. That is the same as having evidence to reject the the hypothesis $H_0:\mu= 1.6$ (the null hypothesis always have the equal sign).

We have to test the null hypothesis

$H_0:\mu= 1.6$

The significance level for this test is 0.05

Calculation of the t-statistic:

$t=\frac{M-\mu}{s/\sqrt{n}} =\frac{2.2-1.6}{0.57/\sqrt{36}} =\frac{0.6}{0.063}= 9.47$

If we look up in a t-table for t=9.47 and df=(36-1)=35, we get this value appears with a probability of zero. A large number like that is very unlikely to happen.

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject $H_0: \mu= 1.6$ , we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

6 0

2 years ago

(x^ 3 + y ^3) divided by (x - y)