All categories

3 years ago

Line segment XY is tangent to circle Z at point U. If the measure of is 84°, what is the measure of ? 42° 84° 96° 168°

Mathematics

2 answers:

Andreas93 [3]3 years ago

7 0

Answer:

The measure of angle YUV is equal to $m$

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

$arc\ UV=84\°$ -----> given problem

$m$ ------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

$ZU=ZV=radius$

$m$ -----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of a triangle is equal to $180\°$

$m$

$2m$

substitute and solve for m<ZUV

$2m$

$m$

$m$ ------> by complementary angles

solve for m<YUZ

$48\°+m$

$m$

marin [14]3 years ago

4 0

Answer:

a 42

Step-by-step explanation:

You might be interested in

Perpendicular Vectors:

klemol [59]

1.
v x w = 8 i - 24 j + 15 k + 10 j - 12 i - 24 k =
= - 4 i - 14 j - 9 k
Answer: D )
2.
v x w = -16 i - 16 j - 18 k + 12 j + 48 i - 8 k =
= 32 i - 4 j - 10 k
Answer: C )
3.
The cross product:
< - 6, 7, 2 > x < 8, 5, -3 > =
= - 21 i + 16 j - 30 k - 18 j - 10 i - 56 k =
= - 31 j - 2 j - 86 k = < - 31, - 2, - 86 >
Vectors are perpendicular if: cos ( u, v ) = 0
< - 6 , 7. 2 > * < -31, - 2, - 86 > = 186 - 14 - 172 = 0
< 8, 5 , - 3 > * < - 31, - 2, - 86 > = -248 - 10 + 258 = 0
Answer: A ) < - 31, - 2 , - 86 >, yes.

3 0

3 years ago

Emanuel added two integers.

Temka [501]

A. When you add to negative numbers, it is always negative. A positive + a positive is positive. In D, the answer is always 0. 1 + -1 is 0. In C, it varies. The bigger number not including the negative sign is the sign the number has. For example, -6 + 5 = -1. 6 is bigger than 5. You subtract the smaller number from the bigger number and that is the answer. You would then tack on the negative sign because it is -6, and 6 is bigger than 5.

7 0

2 years ago

He table shows the solution to the equation |2x − 5| − 2 = 3:

ozzi

The solution is completely correct, as putting 5 or 0 in the formula again will make it true.

$|2(0)-5|=5$
$|-5|=5$
$5=5$

$|2(5)-5|=5$
$|10-5|=5$
$5=5$

6 0

3 years ago

Wholesale cost of a telescope: $199.50; Markup: 50%, Discount: 30%,

kupik [55]

Answer:

$2147.85

Step-by-step explanation:

199.5*.5=99.75

199.5+99.75=299.25

299.25*.3=89.775

299.25-89.775=209.475

209.475*.04=8.279

209.475+8.379=217.854

7 0

2 years ago

Gabriel buys 5 pounds of apples for $8. Allie buys 10 pounds of the same apples for $16. Which of the following points is NOT on

Tom [10]

I don't understand your question

4 0

3 years ago