<h2>
Answer: Lines b & c are parallel.⇄</h2>
Step-by-step explanation:
- When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
- When lines are parallel, they have the same slope.
Slope = ( y₂ - y₁) / (x₂ - x₁)
Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )
= 5 ÷ (- 8)
= - ⁵/₈
Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )
= - ⁵/₈
⇒ Line b ║ Line c
Answer:
1.) 7x+5y
2.)-19m+14r
3.)22b+40c
4.)10x+25
5.)7m+7
Step-by-step explanation:
ez
Answer: 68/67.8 toothpicks
Step-by-step explanation
first convert how many inches 11.3 feet is
11.3 = 135.6 inches
so after you get your number you get your calculator and divide it by how many inches the toothpicks are
135.6 ÷ 2= 67.8
then to get a solid answer you would round it to a whole number
67.8--> 68
so you ether say the rounded number or you cut .2 inches off the last toothpick
(also im not sure if its 11.3ft or 113ft so if so then take away the decimal and do the same math, you'll end up with 678 toothpicks)
<span><span>
2−<span><span>2<span>(12)</span></span><span>(3)</span></span></span>−53</span><span>
=<span><span>2−<span><span>(2)</span><span>(36)</span></span></span>−53</span></span><span>
=<span><span>2−72</span>−53</span></span><span>
=<span><span>−70</span>−53</span></span><span>
Answer : <span>−<span>123</span></span></span>
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
