2.16
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Answer:
∠LNM = 38°
∠M = 52°
Step-by-step explanation:
Here, ∠M = x
Let the measure of ∠LNM = ∠1
Now, ∠PNM + ∠1 = 180° (LINEAR PAIRS)
So, ∠1 = 180° - ∠PNM = 180° - 142°
= 38°
⇒∠1 = 38° , or ∠LNM = 38°
Now, in triangle LMN, by ANGLE SUM PROPERTY of a triangle
∠NLM + ∠X + ∠1 = 180°
or, 90° + x + 38° = 180°
⇒ x = 180° - 128° = 52°
Hence, the measure of x = 52° , or ∠M = 52°
a + b + c = 30 ;
a = 6c ;
a = 2b ;
Then, c = a / 6 and b = a / 2 ;
a / 6 + a / 2 + a = 30 ;
a / 6 + 3a / 6 + 6a / 6 = 180 / 6 ;
10a = 180 ;
a = 18 ;
b = 9 ;
c = 3.
Good luck !
Answer:
2
Step-by-step explanation:
she will have 2 arangments of one rose and two daisies.
Step One
Begin by getting one side of the question equal to zero.
32x -4 = 4x^2 + 60 Add - 32x + 4 from both sides.
0 = 4x^2 + 60 - 32x + 4 Collect like terms.
0 = 4x^2 - 32x + 64
Step Two
For this question, you could divide both sides by 4. It just makes the steps later on easier.
0 = x^2 - 8x + 16
Step Three
Calculate the discriminate.
The discriminate is b^2 - 4*a*c
a = 1; b = -8; c = 16
b^2 - 4*a*c = (-8)^2 - 4*(1)(16) = 64 - 64 = 0
There is only 1 root. It is real and it is rational.
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