All categories

2 years ago

Determine whether the triangles are similar. If so, name the postulate or theorem you used.

Mathematics

1 answer:

Mice21 [21]2 years ago

5 0

Answer:

Yes, AA~

Step-by-step explanation:

because 2 of the angles are the same (90 and 52) they have to be the same. The triangle on the right is known to be 90 degrees because 52+38 is 90 and 180-90 is 90 and a triangle has to add up to 180 degrees

You might be interested in

Write the expression in complete factored form<br><br> 4u^2(a-3)+q(a-3)

Sauron [17]

[ Answer ]

$\boxed{\bold{4au^{2} \ - \ 12u^{2} \ + \ aq \ - \ 3q}}$

[ Explanation ]

Factor: $4u^{2}$ (a - 3) + q(a - 3)

-------------------------------------

Expand $4u^2\left(a-3\right)$ : $4au^2-12u^2$

$4au^2-12u^2+q\left(a-3\right)$

Expand

$q\left(a-3\right)$ : $aq-3q$

Answer

$4au^2-12u^2+aq-3q$

$\boxed{\bold{[] \ Eclipsed \ []}}$

3 0

2 years ago

Simplify the expression: 4(10 + 6u)

Marianna [84]

Answer:

24u + 10

Step-by-step explanation:

first rearrange the terms

4(10+6u)

4(6u+10)

then distribute the 4

4(6u) = 24u

4(10) = 10

then you get 24u + 10

7 0

3 years ago

Read 2 more answers

Consider rolling two fair dice one 3-sided the other 5-sided

Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

$1\leq x\leq 3,\quad 1\leq y \leq 5$

We have $P(X=x)=\frac{1}{3}$ and $P(Y=y)=\frac{1}{5}$ , because the dice are fair.

Now we use the assumption of independence to claim that

$P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}$

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

2 in a unique way (1+1)
3 in two possible ways (1+2, 2+1)
4 in three possible ways
5 in three possible ways
6 in three possible ways
7 in two possible ways
8 in a unique way

This implies that the probabilities of the outcomes of $W=X+Y$ are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5