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2 years ago

5x 4x What is the value of x? (3 ponts) _/3

Mathematics

1 answer:

Minchanka [31]2 years ago

4 0

Step-by-step explanation:

I assume the 2 vertical lines are parallel.

then the 2 angles 5x and 4x are around the intersection point of both lines (since parallel lines simply mimic the behavior of each other, the angles must be the same).

that means 4x is also the angle under the indicated 5x angle, and 5x is also the angle under the indicated 4x angle.

and that simply means that 5x and 4x supplement each other to 180° (as all angles around a single point on one side of a line represent a half-circle and therefore 180°).

so,

5x + 4x = 180

9x = 180

x = 20

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If a car dealership buy as car for $9000, and wants to make a 45% profit, how much do they need to sell the car for?

Degger [83]

Answer:

A car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys a car for $9000.

Step-by-step explanation:

Car cost = $9000

Profit percentage = 45% profit

Thus,

Profit amount = 45% of 9000

= 45/100 × 9000

= 0.45 × 9000

= $4050

In order to determine how much a car dealership needs to sell the car to earn the 45% profit, all we need is to add the profit amount i.e. $4050, and the car cost i.e. $9000.

i.e.

Car cost + Profit amount = $9000 + $4050

= $13050

Therefore, a car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys s car for $9000.

6 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Type an equivalent expression to show the relationship of multiplication and addition 7+7+7+7+7

nikitadnepr [17]

7 • 5

Multiplication is basically repeated addition. So to convert repeated addition to multiplication, we take the number being added (7) and multiply it be the number of addens (5). Therefore, 7+7+7+7+7 = 5 • 7

3 0

3 years ago

Tamiku [17]

Ok so

(-3)(5x+-13)
=(-3)(5x)+(-3)(-13)

So your answer should be A. -15x+36

Hope this helps ❤️

7 0

3 years ago

0.989, 1.118, 1.637, 1.83, 1.01, 1.912, 1.115, 2.504, 2.2,1 3.3, 1.127, 1.281, 2.4, 0.356, 653.63, 1.714, 2.036, 1.305 from leas

Norma-Jean [14]

Answer:

0.356, 0.989, 1.01, 1.115, 1.118, 1.127, 1.281, 1.305, 1.637, 1.714, 1.83, 1.912, 2.036, 2.2, 2.4, 2.504, 13.3, and 653.63

8 0

3 years ago

Read 2 more answers