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3 years ago

The two figures shown above are congruent. Identify the corresponding sides and angles.

Mathematics

1 answer:

nasty-shy [4]3 years ago

8 0

Answer:

AB = RS , BC = SP , CD = PQ , AD = RQ

m∠A = m∠R , m∠B = m∠S , m∠C = m∠P , m∠D = m∠Q

Step-by-step explanation:

∵ ABCD congruent to RSPQ

∴ AB = RS , BC = SP , CD = PQ , AD = RQ

∴ m∠A = m∠R , m∠B = m∠S , m∠C = m∠P , m∠D = m∠Q

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Factor the expression. 35g^2 – 2gh – 24h^2

stiks02 [169]

Option C: $(7 g-6 h)(5 g+4 h)$ is the correct answer.

Explanation:

The given expression is $35 g^{2}-2 g h-24 h^{2}$

We need to determine the factor of the expression.

Now, let us break the given expression into two groups.

Hence, we get,

$35 g^{2}+28 g h-30 g h-24 h^{2}$

Simplifying, we get,

$\left(35 g^{2}+28 g h\right)+\left(-30 g h-24 h^{2}\right)$

Let us factor out 7g from the term $\left(35 g^{2}+28 g h\right)$

Hence, we have,

$7 g(5 g+4 h)+\left(-30 g h-24 h^{2}\right)$

Similarly, let us factor out -6h from the term $\left(-30 g h-24 h^{2}\right)$

Thus, we have,

$7 g(5 g+4 h)-6 h(5 g+4 h)$

Now, we shall factor out the term $5g+4h$ , we get,

$(7 g-6 h)(5 g+4 h)$

Thus, the factorization of the given expression is $(7 g-6 h)(5 g+4 h)$

Therefore, Option C is the correct answer.

3 0

3 years ago

Can someone help me with these 2?

pochemuha

Answer:

so this one could be a little tricky to understand over the computer.Im going to try my best though.

Step-by-step explanation:

Its hard to explain how i got the answer.

im not going to try and do it.

7-5

8-2.5

really hope this helps. :)

7 0

4 years ago

Answers are (-1,3) (0,2) (1,2) (2,-1) (2,2)

sladkih [1.3K]

DahiaizmdmekwoOkxndjsoao1,2

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3 years ago

PLEEEASE HELPPPPPPP!! substitution

worty [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago

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nadya68 [22]

Step-by-step explanation:

0.002

ones is 0

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3 years ago