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Sphinxa [80]
3 years ago
8

measure of ∠ 7 is ( 7 x + 8 ) ° , and the measure of ∠ 1 , is ( 10 x + 2 ) ° , what is the value of x ?

Mathematics
1 answer:
ololo11 [35]3 years ago
5 0

Answer:

57 and 12

Step-by-step explanation:

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Angle 1 and angle 3 are vertical angles.

Step-by-step explanation:

They are diagonal from each other causing it to be vertical angles and equal.

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3 years ago
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Find the average value of the function on the given interval.<br> f(x)=(2x-1)1/2; [1,13]
Leni [432]

Answer:

The average value of the function on the given interval 6.5.

Step-by-step explanation:

Consider the given function is

f(x)=\dfrac{2x-1}{2}

We need to find the average value of the function on the given interval [1,13].

f(x)=\dfrac{2x}{2}-\dfrac{1}{2}

f(x)=x-0.5

The average value of the function f(x) on [a,b] is

Average=\dfrac{1}{b-a}\int\limits^b_a {f(x)} \, dx

Average value of the function on the given interval [1,13] is

Average=\dfrac{1}{13-1}\int\limits^{13}_{1} {x-0.5} \, dx

Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}

Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]

Average=\dfrac{1}{12}[78-0]

Average=6.5

Therefore, the average value of the function on the given interval 6.5.

6 0
3 years ago
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