All categories

3 years ago

the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following

Mathematics

1 answer:

alisha [4.7K]3 years ago

3 0

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

$138+x+x=180 \iff 2x=42 \iff x=21$

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

You might be interested in

A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the

slavikrds [6]

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

$55 = 6 + (3.5 * m)$

We can solve this by first subtracting 6 from both sides to get:

$49 = 3.5 * m$

Dividing both sides by 3.5 we get:

$14 = m$

That means that the top speed of the monohull in the 2007 tournament was 14 knots

4 0

2 years ago

What are the two possible measures of the angle below?

Viktor [21]

Answer:

90 or -270

Step-by-step explanation:

3 0

2 years ago

Marcia made spiral books to sell at her local craft fair. She forgot to count how many she made before the fair. She knows that

Alex787 [66]

Answer:

B) 0.60n+1.48n = 176.80

Step-by-step explanation:

0.60 for every spiral wire per book = 0.60*n

0.74 per chipboard cover, 2 needed for each book = 1.48 per book = 1.48*n

Put it together: 0.60n+1.48n = 176.80

5 0

2 years ago

What is the solution to the inequality - 6x + 5 > -1

ExtremeBDS [4]

[ Answer ]

$\boxed{X \ < \ 1}$

[ Explanation ]

Solution To Inequality: - 6x + 5 > -1

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

Subtract 5 From Both Sides

- 6x + 5 - 5 > -1 - 5

Simplify

-6x > -6

Multiply Both Sides By -1 (Reverse Inequality)

(-6x)(-1) < (-6)(-1)

Simplify

6x < 6

Divide Both Sides By 6

$\frac{6x}{6}$ < $\frac{6}{6}$

Simplify

X < 1

$\boxed{[ \ Eclipsed \ ]}$

4 0

3 years ago

In a class, 42 students, there are 8 more boys than girls write and solve a system of 3 equations

zhenek [66]

Answer:

x = 17

Step-by-step explanation:

x + x + 8 = 42 because x = boys and x + 8 = girls

2x = 34 because 2x = 42 - 8

x = 17

i hope this helps! you don't need the 2x = 42 - 8 to be an equation ;)

8 0

3 years ago