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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:

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Find the leg (in inches) of the triangle whose hypotenuse is 10 inches and whose other leg is 3.25 inches. Round to the nearest

alekssr [168]

Answer:

Other Side (B) = 9.45 inches

Step-by-step explanation:

Given:

Hypotenuse = 10 inches

Other Side (A) = 3.25 inches

Find:

Other Side (B) = ?

Computation:

According to Pythagoras theorem:

$Hypotenuse^2= (Perpendicular)^2+(Base)^2\\\\Hypotenuse^2= (A)^2+(B)^2\\\\10^2= (3.25)^2+(B)^2\\\\100=10.5625 +(B)^2\\\\89.4375 = (B)^2\\\\B=\sqrt{89.4375}\\\\B=9.4571$

Other Side (B) = 9.45 inches

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3 years ago

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Answer:

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Step-by-step explanation:

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The y intercept is the value when x = 0

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3 years ago

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3 years ago

B. Lance is 39 years old. Ted is 22 years old.

Rudiy27

Answer:

28 years

Step-by-step explanation:

Sum of the years of Lance , Ted, Rosalinda = 39 + 22 +45 = 106 year

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8 0

3 years ago

How do I solve this?

iris [78.8K]

Answer:

Step-by-step explanation:

From the picture attached,

Addition of the blocks in first row is 60

a + a + a + 12 = 60

3a + 12 = 60

3a = 60 - 12

3a = 48

a = 16

For second row,

(b + 5) + (b + 5) + (b + 5) + (b + 5) = 60

4(b + 5) = 60

b + 5 = 15

b = 10

For third row,

(a + b) + c = (b + 5) + (b + 5) + (b + 5)

a + b + c = 3(b + 5)

16 + 10 + c = 3(10 + 5) [Since, a = 16 and b = 10}

26 + c = 45

c = 45 - 26

c = 19

For fourth row,

3c + d = 60

3(19) + d = 60

57 + d = 60

d = 60 - 57

d = 3

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3 years ago