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2 years ago

Name the theorem or postulate that lets you immediately conclude ∆ABD ≈ ∆CBD.

Mathematics

2 answers:

DENIUS [597]2 years ago

8 0

Answer:

The correct answer is B. AAS

Step-by-step explanation:

I took the test

hope this helps :)

enot [183]2 years ago

7 0

I think that the correct answer is D. SAS
But I’m no sure tho
Hope you get it right

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Which expression is equivalent to (16 x Superscript 8 Baseline y Superscript negative 12 Baseline) Superscript one-half?.

loris [4]

To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>

$x^ax^b = x^{(a+b)}$
$\dfrac{x^a}{x^b} = x^{(a-b)}$
$(a^a)^b =x^{(a\times b)}$
$(xy)^a = x^ay^a$

$x^{\frac{3}{4}} = \sqrt[4]{x^3}= (\sqrt[3]{x})^4$

The solution of the expression is $\dfrac{4x^4}{y^6}$ .

<h2>Explanation</h2>

Given to us

$(16x^8y^{12})^{\frac{1}{2}}$

Solution

We know that 16 can be reduced to $2^4$ ,

$=(2^4x^8y^{12})^{\frac{1}{2}}$

Using identity $(xy)^a = x^ay^a$ ,

$=(2^4)^{\frac{1}{2}}(x^8)^{\frac{1}{2}}(y^{12})^{\frac{1}{2}}$

Using identity $(a^a)^b =x^{(a\times b)}$ ,

$=(2^{4\times \frac{1}{2}})\ (x^{8\times\frac{1}{2}})\ (y^{12\times{\frac{1}{2}}})$

Solving further

$=2^2x^4y^{-6}$

Using identity $\dfrac{x^a}{x^b} = x^{(a-b)}$ ,

$=\dfrac{2^2x^4}{y^6}$

$=\dfrac{4x^4}{y^6}$

Hence, the solution of the expression is $\dfrac{4x^4}{y^6}$ .

Learn more about Exponentiation:

brainly.com/question/2193820

8 0

1 year ago

Find the sum of 7a³ + 14a + 12 and -6a³ + 12a² -7

maw [93]

Answer: $a^3+12a^2+14a+5$

Step-by-step explanation:

$7a^3+14a+12+(-6a^3+12a^2-7)$

$7a^3+14a+12-6a^3+12a^2-7\\a^3+12a^2+14a+5$

7 0

2 years ago

15. There is a 25% chance of rain tomorrow. The probability that the price of gold rises tomorrow is 37%. The probability that i

Alchen [17]

Step-by-step explanation:

yes, the 2 events are entirely independent

neither one influences the other.

3 0

2 years ago

Read 2 more answers

(a) 3n – 11 > 5n – 18

Bad White [126]

Answer:

Step-by-step explanation:

Bringing like terms on one side

-11 + 18 > 5n - 3n

-7 > 2n

-7/2 > n

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2 years ago

Write a subtraction fact with the same difference as 16-7

Alex73 [517]

Answer:

10-1

Step-by-step explanation:

8 0

3 years ago