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ruslelena [56]
2 years ago
12

What is the measure of angle 3 if the measure of

Mathematics
1 answer:
ELEN [110]2 years ago
8 0

Answer:

Angle 3 = 86.8

Angle 6 = 96.4

Angle 7 = 93.2

Step-by-step explanation:

Given :

angle 6 = 4x + 10

angle 7 = 2x + 40

=> angle 6 + angle 7 = 180° { linear pair }

=> 4x+10 +2x+40 = 180

=> 6x+50 = 180

=> 6x = 180-50

=> 6x = 130

=> x = 130/6

=> x = 21.6

so ,the measure of angle 6 = 4x + 10 = 4(21.6) +10 = 86.4+10 = 96.4

the measure of angle 7 = 2x + 40 = 2(21.6) +40 = 43.2+50 = 93.2

now angle 7 = angle 4 + angle 5

and angle 3 + angle 4 + angle 5 = 180°

so, angle 7 + angle 3 = 180

=> 93.2 + angle 3 = 180

=> angle 3 = 180 - 93.2

=> angle 3 = 86.8

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2 years ago
1.) Which domain restrictions apply to the rational expression? 14x-2x / x^2-7x
mezya [45]

Answer:

3. \displaystyle 1\frac{1}{3} = x

2<em>C.</em> \displaystyle III.

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Step-by-step explanation:

3. <em>See</em><em> </em><em>above</em>.

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1. Base this off of the denominator. Knowing that the denominator CANNOT be zero, you will get this:

\displaystyle x^2 - 7x \\ x[x - 7] = 0; 7, 0 = x \\ \\ Set-Builder\:Notation: [x|7, 0 ≠ x] \\ Interval\:Notation: (-∞, 0) ∪ (0, 7) ∪ (7, ∞)

I am joyous to assist you anytime.

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Answer:

3 AND 5

Step-by-step explanation:

LET THE TWO NUMBERS BE X AND Y

THEN

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X – Y = 2 …… 2

WE SOLVE SIMULTANOUSLY  

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X = 5

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3 years ago
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