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3 years ago

(SAT Prep) In the given figure, a ∥ b. Find the value of z. A. 50° B. 90° C. 45° D. 75°

Mathematics

1 answer:

Mrac [35]3 years ago

5 0

Answer: The awnser is 45 degrees

Step-by-step explanation:

As you can see there are two z's which equal to 90 degrees and one z eqquals to 45 degrees.

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3√12•√6<br><br>please show a step by step explanation

Oduvanchick [21]

Answer: $18\sqrt{2}\\\\$

This is the same as saying 18*sqrt(2) or you could say 18√2

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Explanation:

We'll be using this square root rule: $\sqrt{A}*\sqrt{B} = \sqrt{A*B}$

So we could have this as our steps:

$3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\$

Therefore, $3\sqrt{12}*\sqrt{6} = 18\sqrt{2}$

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

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3 years ago

Math! Anyone know this algebra 2 question? Please help!!

zhuklara [117]

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3 years ago

Solve this equation and show your work! (1 point for the correct answer and 1 point for showing how to solve the equation) x³ =

dedylja [7]

Make the 3 into a fraction and then flip it to cancel out which makes it easier then do it to the -2,197 for you to get x

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3 years ago

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Someone help. You do not have to explain it

nadezda [96]

Answer:

x=0, y=3

x=5, y= 2

Step-by-step explanation:

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3 years ago

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You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

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4 years ago