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nydimaria [60]
3 years ago
13

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on t

he opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.
Line segment ST is congruent to which line segment?

Mathematics
2 answers:
alexgriva [62]3 years ago
5 0

The figure is missing so I attached a helping figure

Answer:

Line segment ST is congruent to line segment UT

Step-by-step explanation:

From the attached figure

∵ ST and UT are tangents to circle K at points S and U

∵ SK and UK are radii in the circle K

- The tangent is perpendicular to the radius at the point of tangent

∴ ST ⊥ KS ⇒ at point S

∴ m∠KST = 90°

∴ UT ⊥ KU ⇒ at point U

∴ m∠KUT = 90°

∴ m∠KST = m∠KUT

In the two triangles KST and KUT

∵ KS = KU ⇒ radii

∵ m∠KST = m∠KUT ⇒ proved

∵ KT is a common side in the two triangles

- That means the two triangles are congruent by HL postulate

    of congruence (hypotenuse and leg of right triangle)

∴ Δ KST ≅ KUT ⇒ HL postulate of congruence

- By using the result of congruence

∴ ST = UT

Line segment ST is congruent to line segment UT

sineoko [7]3 years ago
5 0

Answer:

c : UT

Step-by-step explanation:

test edg

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SashulF [63]
I hope this helps you



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8 0
3 years ago
a car decreased in value from $980 to $720 in one year what was the per cent of decrease to the nearest whole per cent ?
kolezko [41]

The decrease was 27%.

Step-by-step explanation:

Old value = $980

New value = $720

Decrease = Old value - New value

Decrease=980-720=\$260

Percent decrease = \frac{Decreased/ amount}{Old value}*100

Percent\ decrease=\frac{260}{980}*100\\Percent\ decrease=0.265*100\\Percent\ decrease= 26.5\%

Rounding off to near whole percent

Percent decrease = 27%

The decrease was 27%.

Keywords: Percentage, subtraction

Learn more about subtraction at:

  • brainly.com/question/13035995
  • brainly.com/question/13062539

#LearnwithBrainly

6 0
3 years ago
1. Taylor needs to purchase a car. The car Taylor plans to purchase costs $10,000. Taylor has saved $2,000 to use as a down paym
Alexxandr [17]

Answer:

a. The amount Taylor will need to finance is $8,000

b. The amount Taylor pays as interest in one year is $400

Step-by-step explanation:

The given parameters of the financing for the car are;

The cost of the car Taylor plans to purchase, C = $10,000

The amount Taylor has saved to be used as down payment, S = $2,000

The interest rate of the credit Taylor is offered = 5%

The duration given for repayment of the loan = 5 years

a. To purchase the car, the amount Taylor will need to finance, 'P', is given as follows;

P = C - S

∴ P = $10,000 - $2,000 = $8,000

b. The amount of interest on the loan in one year, 'I', is given by the following formula;

I = \dfrac{P \times R \times T}{100}

Where;

I = The interest payed

P = The principal amount taken as loan = $8,000

R = The interest rate = 5% APR

T = The time period the interest is applied = 1 year

Plugging in the values, we get;

I = \dfrac{\$ \, 8,000 \times 5 \times 1}{100} = \$ \, 400

The interest Taylor will pay on the loan in one year, I = $4,00

7 0
3 years ago
HELP! 9 is what percent of 100 (need to show how I got my answer)
exis [7]

Answer:

9%

Step-by-step explanation:

We can start by changing this number to a fraction.

\frac{9}{100}

We know that 100 is a whole percentage

Therfore, we would get 9%

6 0
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