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3 years ago

I need to know what “x” in the angle measures

Mathematics

1 answer:

arlik [135]3 years ago

5 0

X=[(x+60°)-20°]/2
x=(x+60°-20°)/2
x=(x+40°)/2
Solving for x: Multiplying both sides of the equation bu 2:
2x=2(x+40°)/2
2x=x+40°
Subtracting x both sides of the equation:
2x-x=x+40°-x
x=40°

Answer: x=40°

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P (n), given below, is the price P in dollars for n grams of vitamins.P(n)=0.4n+5.7Complete the following statements.

Amanda [17]

(a)

In the function P(n) = 0.4n +5.7, P(n) is price of n grams of vitamins. So for the function x = P(n); x is price of n grams of vitamins.

The inverse of function determine amount of the vitamins for the known price of x dollars. So answer is,

The amount of vitamins (in grams) for a price of x dollars.

(b)

Let P(n) = x, So

$x=0.4n+5.7$

Replace n by x and x by n in the given equation.

$n=0.4x+5.7$

Simplify the equation for x.

$\begin{gathered} n+0.4x+5.7 \\ n-5.7=0.4x \\ x=\frac{n-5.7}{0.4} \\ =\frac{10n-57}{4} \end{gathered}$

So inverse of function is after interchange of variables,

$P^{-1}(x)=\frac{10x-57}{4}$

(c)

Substitute 8.3 for x in the inverse equation to obtain the valur of P^-1(8.3).

$\begin{gathered} P^{-1}(8.3)=\frac{10\cdot8.3-57}{4} \\ =\frac{83-57}{4} \\ =\frac{26}{4} \\ =6.5 \end{gathered}$

So answer is 6.5.

7 0

1 year ago

Two less than seven times a number c is written as

Savatey [412]

Answer:

$7c-2$

Step-by-step explanation:

Let c be the number.

We are asked to write an expression for given verbal description.

7 times the number c would be $7c$ .

Two less than seven times a number means 2 subtracted from $7c$ .

Two less than seven times a number c would be $7c-2$ .

Therefore, our required expression would be $7c-2$ .

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3 years ago

a survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. if we pick 2 athletes at random wit

Yuliya22 [10]

Answer:

88/345 which is 0.2551

Step-by-step explanation:

Since we are picking 2 athletes randomly and without replacement.

Probability of 1 volleyball player = 24/46 = 12/23

Probability of basketball player (this is after 1 volleyball player has already been picked). We have 45 players left. = 22/45

probability of picking one volleyball player and one basketball player

p(volleyball player and basketball player)

(12/23) x (22/45)

= 88/345

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4 years ago

A 13-ounce box of cereal sells for $3.25. An 18-ounce box of cereal sells for $3.60. Which statement describes the difference in

ivolga24 [154]

Answer:

its c

Step-by-step explanation:

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3 years ago

Figure ABCD is a kite. Find the value of x.

julsineya [31]

Answer:

x=5

Step-by-step explanation:

i think you posted this question twice, but here it is:

in order for this figure to truly be a kite, AD and AB have to be equal.

So:

4x=x+15

now we must solve the equation:

3x=15

x=5

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3 years ago