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ivolga24 [154]
4 years ago
7

Which statement can be combined with its converse to form a true biconditional?

Mathematics
1 answer:
andrey2020 [161]4 years ago
5 0

Answer:

D)

I couldn't read C. It contained words like rat, raid devices?

Step-by-step explanation:

The converse of p->q is q->q.

So let's look at each choice:

A) The converse of

"if the measure of an angle is 30, then it is an acute angle"

is:

"If is is an acute angle, then the measure is 30"

The converse is not true so the biconditional will not be true.  There are other angles beside 30 that are acute.

B) The converse of

"if two lines intersect, then the two lines are not skew"

is:

"If the two lines are not skew, then the two lines intersect"

The converse is false because if it isn't skewed, then they could still be parallel and parallel lines don't intersect.

D) The converse of

"if an angle is a straight angle, then it’s sides are opposite rays.:

is:

"If the angle's sides are opposite rays, then it's angle is straight"

True.

So the biconditional is

"an angle is straight, if and only if, the angle's sides are opposite rays.

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vodomira [7]

Answer: angle V = 41 degrees  (choice B)

======================================================

Explanation:

We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.

Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.

Let z be the measure of angle UTV. Note how

(angleSTR)+(angleUTV) = 180

60+z = 180

z = 180-60

z = 120

Making angle UTV to be 120 degrees

------------------------------------

Now we can focus on triangle UTV since we have expressions for each interior angle

  • U = 4x-9
  • T = 120
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Add up those angles, set the sum equal to 180, solve for x

U+T+V = 180

(4x-9)+(120)+(5x+6) = 180

9x+117 = 180

9x = 180-117

9x = 63

x = 63/9

x = 7

Use that x value to find the missing angle measures

angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees

angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees

Note how

U+T+V = 19+120+41 = 180

which helps confirm our answer.

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Answer:

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Step-by-step explanation:

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4(2x-3)=2(4x-6)

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Step-by-step explanation:

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