MATHEMATICS HIGH SCHOOL

Evaluate the given expression for x=9 7x+3

Answers

Answer 1
Answer:

Step-by-step explanation:

x=9.7x+3

x=12+7x

8x=12

x=12÷8

x=3÷2

x=1.5

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Rounak has 4 packs of 12 glitter pens. She has 7 packs of 8 scented pens. She gives her friend a pack of glitter pens in exchange for a new pack of scented pens. How many pens does Rounak have now?​

Answers

Answer: Rounak has 100 pens now.

Suppose △FMN≅△HQR . Which congruency statements are true? Select each correct answer. NF¯¯¯¯¯¯≅HQ¯¯¯¯¯¯ MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯ ∠M≅∠Q ∠R≅∠F ∠N≅∠M QH¯¯¯¯¯¯≅MF¯¯¯¯¯¯

Answers

Answer: \overline{MN}\cong\overline{QR}

\angle{M}\cong\angle{Q}

\overline{MF}\cong\overline{QH}

Step-by-step explanation:

We know that if two triangles are congruent , then the corresponding angles and sides are congruent by CPCTC.

Given: \triangle {FMN}\cong\triangle{HQR}

Therefore , the corresponding angles and sides of \triangle {FMN}\text{ and }\triangle{HQR} are congruent.

∠F corresponds ∠H

∠M corresponds ∠Q

∠N corresponds ∠R

⇒ ∠F ≅ ∠H

∠M ≅ ∠Q

∠N ≅ ∠R

\overline{MF}\cong\overline{QH}\n\overline{MN}\cong\overline{QR}\n\overlien{FN}\cong\overline{HR}

So , from the given options, the true congruency statements are :-

\overline{MN}\cong\overline{QR}

\angle{M}\cong\angle{Q}

\overline{MF}\cong\overline{QH}
△FMN ≅ △HQR
so
MF ≅  QH
MN ≅ QR
NF  ≅ RH
and
∠F ≅ ∠H 
∠M ≅ ∠Q
∠N ≅ ∠R

Answer
MN ≅ QR
∠M ≅ ∠Q
QH ≅ MF

Anyway you can help me out?

Answers

Okay, so to get the inverse function, you need to isolate the x first.

You can do this by multiplying by 4. Then, -2 to get just 3x and finally divide by 3 so that you just have x on its own. If we write this all out, we get (4x-2)/3.

Next, we need to substitute 24 into x's place. So, we have ((4x24)-2)/3. Then, we can just simplify. 4x24=96. 96-2=94. 94/3=32.6.

Hope this helps :)

If EG and HJ are parallel lines and m

Answers

The measure of ∠ JIK is 122°

What are corresponding angles?

Corresponding angles are angles that occur on the same side of the transversal line and are equal in size.

Given that, EG and HJ are parallel lines and m is transversal

∵ ∠ GFI and ∠ JIK are corresponding angles, and corresponding angles between two parallel lines are equal.

∴ m ∠ GFI = m ∠ JIK = 122°

For more references on corresponding angles, click;

brainly.com/question/1597341

#SPJ2

Answer:

m JIK = 122°

Step-by-step explanation:

HERE, L || M

So, m JIK = m GFI

( since they are corresponding angles pair )

so, m JIK = 122°

Sequence 1,2,3,6,18,108 multiply the previous 2 terms to get the next term

Answers

1,2,3,6,18,108,1944,209952,

Multiply and simplify (a-3b)^2

Answers

Simple,

distribute the ^(2)

It may seem tricky..there is a hidden term in there that most people would forget....

but, it's saying multiply (a-3b)(a-3b)  (FOIL)

a*a=a^(2)  (First)

-3b*a= -3ab  (Outer)

-3b*a= -3ab   (Inner)

-3b*-3b= 9b^(2)  (Last)

Making it....

a^(2)+-3ab+-3ab+9 b^(2)

Combine terms...

Making your answer, a^(2) -6ab+9 b^(2)
( a - 3b ) ( a - 3b )

= a² - 3ab - 3ab + (-3b)²

= a² - 6ab + 9b²
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