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vlada-n [284]
3 years ago
11

Help, Answer ASAP; will give brainliest

Mathematics
2 answers:
Rasek [7]3 years ago
6 0

Answer:

Below

Step-by-step explanation:

We are given that <PMO= (3a+15)° and NMO= (6a-6)°

Notice that the sum of <PMO and <NMO gives a right angle.

● <PMO+<NMO = 90°

● 3a+15+6a-6 = 90

● 9a + 9 = 90

Substruct 9 from both sides

● 9a +9 -9 = 90 -9

● 9a = 81

Divide both sides by 9

● 9a/9 =81/9

● a = 9

So the value of a is 9°

■■■■■■■■■■■■■■■■■■■■■■■■■■

MN and PO are parallel since MNOP is a rectangle.

MO is crossing MN and PO so <POM and < NMO are alternate interior angles wich means that they have the same size.

● <NMO = <POM

● <POM = 6a-6

The value of a is 9°

● <POM = 6*9-6 = 48°

So <POM = 48°

adelina 88 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

measure of a = 9 degree

angle POM = 48 degree = angle NMO [ AIA}

HOPE IT HELPS

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\longrightarrow{\green{- 9 {x}^{2}   +  14x + 16}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\sqrt{49}  + [ \sqrt{81} - x \: (9x   -  14) ] \\ \\   =  \sqrt{7 \times 7}  + [ \sqrt{9 \times 9}   - 9 {x}^{2}   +  14x] \\  \\  =  \sqrt{( {7})^{2} }  + [ \sqrt{ ({9})^{2} }  - 9 {x}^{2}  +  14x ] \\  \\  (∵ \sqrt{ ({x})^{2} } = x ) \\  \\  = 7 + (9 - 9 {x}^{2}   + 14x) \\  \\  = 7 + 9 - 9 {x}^{2}   + 14x \\  \\  =  - 9 {x}^{2}   +  14x + 16

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}

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