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1 year ago

If TU =UV and T has a coordinate of -17 and U has coordinate 2, what is the coordinate of V?

Mathematics

1 answer:

Alex787 [66]1 year ago

5 0

Step-by-step explanation:

this is one-dimensional ? everything just on one number line ?

TU = 2 - -17 = 2 + 17 = 19

TU is 19 units long (17 units on the negative side, and 2 units on the positive side of the number line).

therefore, to make TU = UV a true statement, UV has also to be 19 units long.

as U = 2,

V = U + UV = 2 + 19 = 21

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If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°

Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = $c^{2}$ = $a^{2} + b^{2}$

a = 7 and b = 11

$a^{2}$ = 49

$b^{2}$ = 121

Plugging in the values, we will get:

$c^{2}$ = 49 + 121

$c^{2}$ = 170

c = $\sqrt{170}$

To calculate the unknown angle B, we can use law of sine.

Law of sine = $\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

So,

$\frac{c}{sinC}$ = $\frac{b}{sinB}$

$\frac{\sqrt{170} }{sin90}$ = $\frac{11}{sinB}$

Sin90 = 1

sinB = $\frac{11}{\sqrt{170} }$

B = $sin^{-1}$ ( $\frac{11}{\sqrt{170} }$ )

B = 57.5°

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3 years ago

The left and right page numbers of an open book are two consecutive integers whose sum is 389. Find these page numbers

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Step-by-step explanation:

Maybe the page numbers can be 143 and 246

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The same:
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