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3 years ago

12

Which is the best estimate of x based on rounding the constants and coefficients in the equation to the nearest integer 6.15 (x

- 8,86) = 21.83

1 answer:

artcher [175]3 years ago

7 0

Your answer would be x = 12.41

6.15 (x - 8.86) = 21.83
*6.15 * 6.15

6.15x - 54.49 = 21.83
+ 54.49 + 54.49

6.15x = 76.32
/6.15 /6.15

x = 12.41

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Determine which lines are parallel and which are not parallel. Explain your reasoning.

NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1) m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76° , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

6 0

2 years ago

There are 325 children at the zoo . If 64% of children are boys and the

aleksandr82 [10.1K]

Answer:

117 Girls

Step-by-step explanation:

If 64% of the kids are boys, then 36% are girls 64% + 36% = 100%

.36 x 325 = 117 girls

Proof

.64 x 325 = 208 boys

208 + 117 = 325

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3 years ago

Help!! It's question 14

Leona [35]

Answer:

200/120 = 5/3

5/3 x 3 = 5 oz

<u>you can also do it this way:</u>

3/120 = x/200

x = 600/120 = 5

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3 years ago

Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y

miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

$5^{x-2}= 8$

Taking Log on both sides.

$Log_e 5^{x-2}=Log_e8$

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x = 2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

brainly.com/question/25710806

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2 years ago

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Marysya12 [62]

Answer: 0. 327

Step-by-step explanation:

I just used a demos calculator I suggest using demos scientific calculator.

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3 years ago

Read 2 more answers