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2 years ago

Line segment SU is a diameter of circle V.

Mathematics

2 answers:

White raven [17]2 years ago

8 0

Answer:

<em>Answer: 112°</em>

Step-by-step explanation:

<u>Angles in a Circle</u>

An inscribed angle is formed between two chords whose vertices lie on the circumference of a circle. The figure shows three chords: TU, SU, and ST. SU happens to also be a diameter because it goes through the center of the circle V.

ST and SU form an inscribed angle of 34°. The corresponding central angle is TVU and its measure is

$m\angle TVU=2*34^\circ=68^\circ$

The required measure of the arc ST is the measure of the angle SVT. Note that SVT and TVU are complementary, thus:

$m\angle TVU+m\angle SVT=180^\circ$

Solving for the measure of SVT:

$m\angle SVT=180^\circ-m\angle TVU$

$m\angle SVT=180^\circ-68^\circ=112^\circ$

Answer: 112°

Verizon [17]2 years ago

8 0

Answer:

A. 56 degrees

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

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3 years ago

6x/5 - x = x/15 - 10/3

Vadim26 [7]

Answer:

x=-25

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2 years ago

Read 2 more answers

The system of equations

cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

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3 years ago

Thirty- five out of sixty students preferred to eat their lunch at school rather going home in lunch break. Express the numbers

IceJOKER [234]

Answer:

0.583

Step-by-step explanation:

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6 0

2 years ago

What is the solution to the system of equations?

natka813 [3]

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

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3 years ago