The information is in the picture PLEASE HELP ME

WILL GIVE BRAINLIEST PLEASE HELP Write the equation and show work. Find 'x" and ' TK'

marishachu [46]

Answer:

$x=6$

$TK=72$

Step-by-step explanation:

Because there are two smaller lines drawn in lines TA and AK, it means that the length of TA is the same as AK.

Hence, $6x=4x+12$

Subtract 4x from both sides:

$6x-4x=4x+12-4x$

$2x=12$

Divide both sides by 2:

$\frac{2x}{2}=\frac{12}{2}$

$x=6$

To find TK,

$6x+4x+12=10x+12=10\times 6+12=60+12=72$

4 0

3 years ago

Which of the following is the solution to the equation x + 6.8 = 53.5?

gregori [183]

X+6.8=53.5
x=53.5-6.8
=46.7

5 0

3 years ago

Read 2 more answers

Rabies is a viral disease of mammals transmitted through the bite of a rabid animal. The virus infects the central nervous syste

lisabon 2012 [21]

Answer:

(a) The value of x is 0.30.

(b) The probability that a reported case of rabies is not a raccoon is 0.45.

(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.

Step-by-step explanation:

Denote the events as follows:

R = reported case of rabies is a raccoon

F = reported case of rabies is a fox

B = reported case of rabies is a bat

O = reported case of rabies is a some other animal.

The data provided is:

P (R) = 0.55

P (F) = 0.11

P (B) = 0.04

P (O) = x.

(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, $\sum P(X)=1$

Compute the value of x as follows:

$\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30$

Thus, the value of x is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

$P(A^{c})=1-P(A)$

Compute the probability that a reported case of rabies is not a raccoon as follows:

$P(R^{c})=1-P(R)\\=1-0.55\\=0.45$

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

$P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15$

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

4 0

3 years ago

See question in image and show workings Note : 1 nautical mile = 1.86km

ycow [4]

Answer:

a)

AB is on the latitude 30°N.

Find AB:

AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

Find BC:

BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

Total distance traveled:

6482.15 + 5585.77 = 12067.92 km

Convert the distance to nautical miles:

12067.92/1.86 = 6488.13 nautical miles

b)

Find the average speed:

6488.13/22 = 294.92 nautical miles / hour

Note. This is unrealistically high speed for a ship, this must be a plane or the time given wrong.

3 0

2 years ago

For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).

Softa [21]

Answer:

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Step-by-step explanation:

$f(x)=4x+1$

$g\left(x\right)=x^2\:-\:5$

As

(g/f)(x) = g(x) / f(x)

$=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:$

$=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Therefore,

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

8 0

3 years ago