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skad [1K]
4 years ago
9

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]4 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°

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A coed little league team had 18 players . Even though it was raining half the girls and one third of the boys showed up for the
Genrish500 [490]

Answer:

The number of Girls players in the Team of 18 players is 6 .

Step-by-step explanation:

Given as :

The total number of player including boys and girls = 18

And \frac{1}{2} times girls player +  \frac{1}{3} times boys player = 7

Let The number of boys player = B

The number of girls player = G

So, According to question

G + B = 18      ...1

\frac{1}{2} × G +  \frac{1}{3} × B= 7

or, \frac{G}{2}  +  \frac{B}{3} = 7    ...2

or, Put the value of B from  eq 1

or,  \frac{G}{2}  +  \frac{18 - G}{3} = 7  

Or,  \frac{G}{2}  -  \frac{G}{3}  + 6 = 7

or,  \frac{3G - 2G}{6}  = 7 - 6

Or,  \frac{G}{6}   = 1

∴ G = 1 × 6 = 6

Hence The number of Girls players in the Team of 18 players is 6 . Answer

7 0
4 years ago
Explain the difference between (4,7) and [4,7]
Ksivusya [100]

Answer:

See below

Step-by-step explanation:

(4,7) is just 4 and 7 but [4,7] is all the points between 4 and 7. I am pretty sure this is correct, but i could be wrong. Hope this helped!

6 0
3 years ago
10. A circle has an arc with measure 80° and length 887. What is the<br> diameter of the circle?
zaharov [31]
The diameter of the whole circle is 2*pi*radius . The arc length is then 80/360*pi*radius*=88*pi
radius=88*180/80
=44*180/40
=22*180/20
=11*180/10
=11*18
=(10+1)*18
=198
The diameter is 2*198=(200-2)=400-4=396

SO BASICALLY THE ANSWER IS 396
3 0
3 years ago
2,10,50 geometric sequence
ValentinkaMS [17]
The next three are; 250, 1,250, and 6,250
4 0
3 years ago
Jamal borrowed $15 600 for 6 years from a bank. The annual simple interest rate for the first 3 years is 1.6%. From then onward,
r-ruslan [8.4K]

Answer:

the interest owed is 1684.8

Step-by-step explanation:

Formula for simple interest =

I = Prt, where P is amount borrowed, r for interest rate and t for time.

Since the first three years is 1.6% interest we can write:

I = 15600 x 0.016 x 3

= 748.8

Then for the following 3 years the interest rate is 2%:

I = 15600 x 0.02 x 3

= 936

Adding the values gives us 1684.8

4 0
2 years ago
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