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3 years ago

Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect

Mathematics

1 answer:

DochEvi [55]3 years ago

4 0

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

$TQ$ X TP=TR^2$

$10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6$

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall: x=11.6

2y=4 X 11.6

2y=46.4

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

The correct option is C

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Write the following in correct mathematical language: 45.23

dexar [7]

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3 years ago

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Marta_Voda [28]

Answer:

112 m

Step-by-step explanation:

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Here A = 784 , then

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What is 20% of 95? (show all work)

elena-s [515]

we know that if 95 is out of 100%, we can write it down as 95 = 100%. we also know that x is 20% of the output value, so we can write it down as x = 20%. 
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
(95/x)*x=(100/20)*x
we multiply both sides of the equation by x
95=5*x
now we divide both sides of the equation by 5 to get x
95/5=x 
19=x 
x=19
we now know that 20% of 95 = 19
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3 years ago

The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet

aleksklad [387]

Answer:

The length of the actual train's car is 67.5 feet.

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be $x.$