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lilavasa [31]
3 years ago
5

If X parallel Y and Y parallel Z then​

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

X || Z

Step-by-step explanation:

We are not told about any lines being perpendicular, so we cannot conclude any lines to be perpendicular.

Theorem:

If two lines are parallel to the same line, then the two lines are parallel to each other.

X is paralle to Y; Z is parallel to Y.

Line X and Z are parallel to the same line, Y, so lines X and Z are parallel.

Answer: X || Z

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The inverse of the function f(x) = x + 10 is shown.
Vadim26 [7]

we have

f(x) = \frac{1}{2}x + 10

Step 1

Let

y=f(x)

y =  \frac{1}{2}x + 10

Exchange the variable x for y and variable y for x

x =  \frac{1}{2}y + 10

Clear variable y

Multiply by 2 both sides

2x =  y + 20

y = 2x-20

Let

f(x)^{-1} =y

f(x)^{-1}=2x-20

therefore

the answer is

the inverse of the function is f(x)^{-1}=2x-20

the missing value is 20



5 0
3 years ago
Read 2 more answers
The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
noname [10]

Answer:

The simultaneous inequation representing the recomended storage temperature is:

50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F

Step-by-step explanation:

In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.

Bounds can be converted into Fahrenheit degrees from Celsius degrees:

T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F (Eq. 1)

Where:

T_{C} - Temperature, measured in Celsius degrees.

T_{F} - Temperature, measured in Fahrenheit degrees.

Lower bound (T_{C} = 10\,^{\circ}C)

T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F

T_{F} = 50\,^{\circ}F

Upper bound (T_{C} = 13\,^{\circ}C)

T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F

T_{F} = 55.4\,^{\circ}F

The simultaneous inequation representing the recomended storage temperature is:

50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F

6 0
3 years ago
Beth had 1 yard of ribbon she used 1/4 yard for a project she wants to divide the rest into 1/8 yard pieces
Lesechka [4]
She'll have 6/8 yard of ribbon left
3 0
3 years ago
Read 2 more answers
Find the product (7r-8)2
Varvara68 [4.7K]

Answer:

14r-16

Step-by-step explanation:

7r x 2 - 8 x 2

8 0
3 years ago
What is the solution to the equation 93x ≈ 7?
s344n2d4d5 [400]
Well, I do not know if you mean 93x = 7 or 9^3x = 7.
So, I will provide the solution for both cases.

In case of 93x = 7:
This case is simple, all you have to do is isolate the x. You need to get rid of the coefficient which is 93. You can simply do this by dividing both sides of the equation by 93 as follows:
93x = 7
93x / 93 = 7/93
x = 7/93

In case of 9^3x = 7:
Now, we need to get rid of the power. The only function that can do this is the log function.
So, we will start by taking log base 10 for both sides of the equation as follows:
9^3x = 7
log(9^3x) = log(7)
This will give:
3x * log(9) = log(7)
Now, the final step is to isolate the x as we did before. To do this, we will need to get rid of 3log(9). This can be done by dividing both sides of the equation by 3log(9) as follows:
3x * log(9) / 3log(9) = log(7) / 3log(9)
This will give us:
x = log(7) / 3log(9) = 0.2952

Hope this helps :)
5 0
4 years ago
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