Answer:
8 triangles
Step-by-step explanation:
I took this question to mean that we have the lengths, 2, 6, and 7 and have multiple copies of them. Using these lengths, what are all of the triangles that can be made?
2x2x2
6x6x6
7x7x7
2x6x7
6x6x7
6x7x7
2x6x6
2x7x7
2x2x6 and 2x2x7 don’t make a triangle.
So, 8 triangles can be made.
from quora
Answer:
1. 9x+4<58
x<6
2. 1x-2>3
x>1
Step-by-step explanation:
1. 9x+4<58
First, you need to group all the like terms ( the group of numbers that have the same variable), Also remember that, when a positive number crosses an inequality symbol, it becomes negative.
9x<58-4
Then, subtract the two numbers.
9x<54
Divide x's coefficient by 54 and you have your answer.
x<6
2. 1x-2>3
First, you need to group all the like terms. Remember that, when a negative number crosses an inequality symbol, it becomes positive.
1x>3-2
Then, subtract the two numbers.
1x>1
1 divided by one is one, so
x>1
Given:
The figure of a right angle triangle.

Hypotenuse =
in.
To find:
The missing lengths of the sides.
Solution:
In the given right angle triangle both legs a and b are equal, and hypotenuse is
in.
Using Pythagoras theorem, we get


![[\because a=b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%3Db%5D)

Divide both sides by 2.

Taking square root on both sides.


Side cannot be negative. So,

Thus, the missing side lengths are a=9 in and b=9 in.
Therefore, the correct option is C.
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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