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2 years ago

Which reason justifies step 2 in the proof

Mathematics

1 answer:

tigry1 [53]2 years ago

6 0

<h3>Answer: C. If two lines are parallel, then the alternate interior angles formed are congruent.</h3>

This is through the alternate interior angles theorem. Angles Q and T pair up as one alternate interior set of angles that are the same measure. The same thing applies to angles X and R.

The identical arrow markers on segments XQ and TR show that those segments are parallel. Segment TQ is one transversal cut (forming alternate interior angles Q and T). Segment XR is the other transversal cut (forming alternate interior angles X and R).

We could say "angle XRT" or "angle TRX" instead of "angle R", though its ideal to use shortcuts whenever possible. The same applies for the other angles as well.

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Which expression gives the surface area of a sphere with radius r

ohaa [14]

Answer:

Simple, 4*pi*r^2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Simplify ( √ 5 ) ( 3 √ 5 )

Amiraneli [1.4K]

Answer:

$5^\frac{5}{6}$

Step-by-step explanation:

$\sqrt{5}$ can be represented as $5^{\frac{1}{2}}$ and $\sqrt[3]5}$ can be represented as $5^{\frac{1}{3}}$ . Therefore, the expression can be rewritten as:

$5^{\frac{1}{2}}*5^{\frac{1}{3}}$

The rule for multiplying two exponents with the same base is you add the exponents. For example: $x^m*x^k=x^{m+k}$

We can use the same property to get:

$5^{\frac{1}{2} +\frac{1}{3}}$

which is just $5^\frac{5}{6}$ after you add the fractions

8 0

2 years ago

Pleeeeeseee have to finish before 3:00

aleksley [76]

Answer:

175.9

Step-by-step explanation:

AL=2πrh=2·π·4·7≈175.92919 rounded to the nearest tenth would be 175.9

5 0

2 years ago

Helpppp what can i use to submit this

-Dominant- [34]

-15 and -2 don’t make +17

5 0

2 years ago

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $65. A season pass costs $400. The skier

Vlad [161]

Let x be the number of days.

Daily pass:
65x + 30x
95x

Season pass:
400 + 30x

95x > 400 + 30x
65x > 400
x > 6.15

The number of days can't be 6.15, so you must round. You can't go down because then the price will be more expensive, so you have to round up.

It would take 7 days until the season pass is less expensive than the daily pass.
----------------------
You can check this by plugging in the x.

95x > 400 + 30x
95(7) > 400 + 30(7)
665 > 400 + 210
665 > 600
The daily pass is more expensive than the season pass.

3 0

2 years ago