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3 years ago

Answer with explanation please!

Mathematics

1 answer:

VLD [36.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

8x + 15 is an external angle of the triangle, thus

8x + 15 = 3x + 20 + 4x + 5, that is

8x + 15 = 7x + 25 ( subtract 7x from both sides )

x + 15 = 25 ( subtract 15 from both sides )

x = 10

Thus none of them on the list → E

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Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.

KiRa [710]

In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.

Learn more about trigonometric ratios at

brainly.com/question/20367642

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1 year ago

Determine whether the following value could be a probability 0.12

Luda [366]

Answer:

Yes, it could be a probability

Step-by-step explanation:

The probability of an event HAS to be between the numbers 0 and 1. Not less than 0, not greater than 1. The number 0.12 is between 0 and 1, thus, making it a valid probability.

7 0

2 years ago

Solve the system of equations −4x+3y=−2 y=x−1 x = y =

dolphi86 [110]

Answer: x = -1 and y = -2

Step-by-step explanation:

So if you know y = x-1 you can plug that in where y is in the first equation

-4x + 3(x-1) = -2

Distribute the 3:

-4x +3x -3 = -2

Combine like terms:
-x -3 = -2

Add 3 to both sides:
-x = 1

Multiply by -1:
X = -1

Then you plug that into the other equation to get y=(-1)-1

Which is -2

4 0

3 years ago

Can someone please help with the last problem

Brut [27]

Answer:

18x +9h

Step-by-step explanation:

Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.

$\dfrac{f(x+h)-f(x)}{h}=\dfrac{(9(x+h)^2)-(9x^2)}{h}\\\\=\dfrac{9(x^2+2xh+h^2)-9x^2}{h}=\dfrac{18xh+9h^2}{h}=\boxed{18x+9h}$

3 0

2 years ago

Can someone help please???

Dovator [93]

Answer:

Length: x + 5

Step-by-step explanation:

x² + 8x + 15 = length × width

x² + 8x + 15

x² + 5x + 3x + 15

x(x + 5) + 3(x + 5)

(x + 5)(x + 3)

Width: (x + 3)

Length: (x + 5)

4 0

3 years ago