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skad [1K]
3 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]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°

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1377/8 in simplest form<br><br> Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
nlexa [21]
To convert a fraction to simplest form we need to find the greatest common factor. 

The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction. 

         Steps to solve 

<span>1) Set up the long division.
</span>
<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
</span>
3) Bring down 7, so that 57 is large enough to be divided by 8.

4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.

<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
</span>
<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
</span>
<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
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<span>Express as a mixed fraction = </span>172 \dfrac{1}{8}


5 0
3 years ago
Helppp I’ll make u a brainlister
fenix001 [56]

Answer:

108 deg

Step-by-step explanation:

Since sides DB and CD are congruent, then opposite angles are congruent.

m<C = m<B = 36

m<B + m<C + m<D = 180

36 + 36 + m<D = 180

m<D = 108

7 0
3 years ago
Seven pens and two pencils costs $6.59. seven pens and five cost $7.55. Find the cost of one pencil and the cost of one pen.
serg [7]
Let one pen be x and one pencil as y, we can produce two equations in terms of x and y

7x+2y=6.59 ------> Equation 1
7x+5y=7.55 ------> Equation 2

We can use either Elimination or Substitution method. Let's try the substitution method

Rearranging equation one to get 7x=6.59-2y and substitute into equation 2, gives
(6.59-2y)+5y=7.55
6.59+3y=7.55
3y=7.55-6.59
3y=0.96
y=0.32

We can use either equation one or equation to work out x

7x+2(0.32)=6.59
7x=6.59-0.64
x=0.85

The price of one pen is $0.85
The price of one pencil is $0.32
5 0
3 years ago
WILL GIVE BRAINLIEST!!! Write each of the following expressions without using absolute value.
salantis [7]

Answer:

If z<7, then z-7 is negative, and |z-7| is positive.  So, with the understanding that z-7 is positive, the first part of this expression becomes:

7-z for z<7

Similarly:  if z<7, then z-9 is negative and |z-9| is positive.  Thus, -|z-9| is equivalent to (9-z).

|z−7|−|z−9|, if z<7 becomes (7-z) - (9-z) for z<7.  Simplifying this, we get:

7 - z - 9 + z = -2

5 0
2 years ago
Read 2 more answers
karla want her home cleaned. Molly Maids charges $10 a day plus $0.35 per minute. Sally Scrubs charges $15 a day plus $0.25. Aft
trapecia [35]

Answer:

50 mins

Step-by-step explanation:

$15 - $10 = $5

$0.35 - $0.25 = $0.10

$5 ÷ $0.10 = 50mins

6 0
3 years ago
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