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svetoff [14.1K]
3 years ago
5

Determine which postulate or theorem can be used to prove that

Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

\triangle ABC \cong \triangle DCB by <u>AAS</u>

Step-by-step explanation:

According to the following two triangles, \triangle ABC and \triangle DCB are congruent by <u>Angle-Angle-Side</u> (AAS), because there are two angles shown and share a side, which is in the middle between triangles.

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Factorise <br> a) 4p²-81<br> b) x²-13x+36
taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0
3 years ago
HELP!! PLEASEE!
amm1812

Answer:

A

Step-by-step explanation:

The blue graph, g(x), is shifted down 8 units.

So the answer is f(x)-8 which is A

5 0
3 years ago
Read 2 more answers
Find the solution of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B64%5Ctimes%209%7D%20" id="TexFormula
Alik [6]

Step-by-step explanation:

\sqrt{64 \times 9}  \\  \sqrt{8 \times 8 \times 3 \times 3}  \\  =  > 8 \times 3 \\  =  > 24

Hence,Your answer is 24

4 0
3 years ago
Read 2 more answers
Can please some help me out with this 3 question
Snezhnost [94]

Answer:

8) x=6.93 y=3.46

9) x=16.9 y=24

4 0
3 years ago
Learning task 1: find the value of the expression given the value of the variables 3x + 5 x = 2 5xy + x - 4 , x = -3 and y = 5
olasank [31]

Step-by-step explanation:

3x+5x=25xy+x-4

8x=25xy+x-4

8(-3)=25(-3)(5)+(-3-4)

-24=25(-15)+(-7)

-24= -375-7

-24= -382

if the question is right that you asked, i mean the = sign then the solution is will be come like this but if there is no = sign then you can get the solution by subtracting -24-382= -406

8 0
3 years ago
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