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Lesechka [4]
3 years ago
11

How to solve this problem​

Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Let C be the center of the circle. The measure of arc VSU is 2+114x, so the measure of the minor arc VU is 360-(2+114x)=358-114x. The central angle VCU also has measure 358-114x.

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

m\angle VCU+2m\angle CUV=180

\implies m\angle CUV=\dfrac{180-(358-114x)}2=57x-89

UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so

(57x-89)+(31x+3)=90

\implies88x=176

\implies x=2

So finally,

m\widehat{VSU}=2+114\cdot2=230

degrees.

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Sarita showed the steps to solving the equation.
shtirl [24]

The option that explains Sarita's mistake is Sarita’s solution is correct. She made an error in her verification.

<h3>What was Sarita's mistake?</h3>

The given equation is: 5(x - 3) + 7(x + 4) = 73

In order to determine the value of x, take the following steps:

1. Apply the Distributive property:

5x - 15 + 7x + 28 = 73

2. Add similar terms together:

12x  + 13 = 73

3. Combine similar terms:

12x = 73 - 13

4. Add similar terms

12x = 60

5. Divide both sides of the equation by 12

x = 60 / 12

x = 5

In order to verify the answer, substitute for x in the given equation :

5(5 - 3) + 7(5 + 4) = 73

5(2) + 7(9) = 73

10 + 63 = 73

73 = 73

Please find attached the complete question. To learn more about equations, please check: brainly.com/question/14446120

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6 0
1 year ago
Write the explicit formula for the geometric sequence 2, 8, 32, 128
Alja [10]
The first term, a, is 2.  The common ratio, r, is 4.  Thus,

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Check:  What's the first term?  Let n=1.  Then we get 2(4)^1, or 8.  Is that correct?  No.

Try this instead:

a_(n) = a_0*4^(n-1).  Is this correct?    Seeking the first term (n=1), does this formula produce 2?      2*4^0 = 2*1 = 2.  YES.

The desired explicit formula is   a_(n) = a_0*4^(n-1), where n begins at 1.


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3 years ago
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uysha [10]

Answer:

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Step-by-step explanation:


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frosja888 [35]
We will need like a graph for that
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{6 3/6 + 10 4/6) + 9 2/6
n200080 [17]

Answer:

26.5

Step-by-step explanation:

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