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Ivahew [28]
2 years ago
10

Given: JK tangent, KH=16, HE=12 Find: JK.

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
7 0

Answer: JK=8

Step-by-step explanation:

You can observe in the figure that JK is a tangent and KH is a secant and both intersect at the point K. Then, according to the Intersecting secant-tangent Theorem:

JK^2=KE*KH

You know that:

KH=KE+HE

Then KE is:

KE=KH-HE

KE=16-12

KE=4

Now you can substitute the value of KE and the value of KH into  JK^2=KE*KH and solve for JK. Then the result is:

JK^2=4*16\\JK^2=64\\JK=\sqrt{64}\\JK=8

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A 4 kg bird is flying with a velocity of 4 meters per second it what is its kinetic energy
KonstantinChe [14]
KE=1/2*4000mg*4 squared= 16
8 0
2 years ago
There are 442 boy students in class
poizon [28]

Answer:

520

Step-by-step explanation:

This problem is

boys + girls = total

Boys = 442

Girls = 15% of the total

Therefore, substituting in, gives us:

442 + .15t = t, where t is total

Then 442 = .85t and

t = 520

5 0
3 years ago
I need help with 5-9
Goryan [66]

Answer:

5) x = 1, y = -3

6) x = -20, y = 2

7) infinite solutions

8) no solutions

Step-by-step explanation:

5)

y = 5x - 8

y = -6x + 3

5x - 8 = -6x + 3

11x = 11

x = 1

y = 5 - 8

y = -3

6)

2x + 10y = -20

-x + 4y = 28

2x = -20 - 10y

x = - 10 - 5y

-x = 28 - 4y

x = -28 + 4y

-10 - 5y  = -28 + 4y

-10 + 28 = 4y + 5y

18 = 9y

2 = y

2x + 20 = -20

2x = -40

x = -20

7)

this has infinite solutions because one equation is a simplified version of the other

8)

this has no solutions because 5 does not equal -5

9)

I can't graph on brainly, hope this helped though

3 0
2 years ago
Simplify the expression and identify which property is used in each step.
777dan777 [17]

Answer:

1.2

Step-by-step explanation:

(0.85 + 0.50 + 0.15) - 0.30           Given

Simplify by adding in the parentheses first

(0.85 + 0.50 + 0.15) - 0.30

(1.35 + 0.15) - 0.30

(1.5) - 0.30

Subtraction Property

1.5 - 0.30

1.2

7 0
2 years ago
Bonjour
solmaris [256]
<span>3 + t = 2 x t + 7    t =4 et x=0   vraie
</span><span>9 x (t-6) = 3 x t     t=4 et x=0    vraie
</span><span>4 x (t - 1) = t x t     t=2 st x=0    vraie

No, 25 cm c'est un 40 ou 41
No 23 cm c'est un 37



</span>
6 0
3 years ago
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