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Aleksandr-060686 [28]
4 years ago
6

Which conditional and its converse form a true biconditional?

Mathematics
2 answers:
zloy xaker [14]4 years ago
7 0
The answer is
<span>D) If x=19, then 2x-3=35
proof
</span>
If x=19,  2(19)-3=38-3=35  so <span> If x=19, then 2x-3=35 is verified
</span>if <span>2x-3=35, so </span><span>2x=35 + 3, </span><span><span>2x=38 implies x = 19, so x =19 is verified

</span> </span>
<span>If x=19 if and only if  2x-3=35 </span>
GrogVix [38]4 years ago
3 0

Answer: D) If x=19, then 2x-3=35

Step-by-step explanation:

A) If x > 0, then lxl >0,

L.H.S. x > 0,

R.H.S. lxl >0 ⇒ ± x > 0

⇒ L.H.S. ≠ R.H.S.

B) If x = 3 then x^2 = 9

L.H.S. x = 3,

R.H.S.  x^2 = 9 ⇒ x = ± 3

⇒ L.H.S. ≠ R.H.S.

C) If x^2 =4, Then x=2

L.H.S. x^2 =4 ⇒ x = ± 2,

R.H.S. x = 2,

L.H.S. ≠ R.H.S.

D) If x=19, then 2x-3=35

L.H.S. x = 19,

R.H.S. 2x-3=35 ⇒ 2x = 38 ⇒ x = 19

⇒ L.H.S. = R.H.S.

⇒ Option D is correct.

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3/5

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For the rhombus below, find the measure of angles 1,2,3 and 4.
Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

5 0
3 years ago
I need the answer quickly please
Hoochie [10]

Answer:

c²=√181=13.45, or 13.5

Step-by-step explanation:

The pythagorean theorem is a²+b²=c²

Given this, we will plug in our numbers like this: 9²+10²=c²

9²+10²=181, but we have to find the square root of that.

c²=√181=13.45, or 13.5

I hope this helps!! :)

7 0
2 years ago
Read 2 more answers
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