Law of Detachment
If p then q. Given p is true. Conclude q is true.
In this problem, "if p then q" is "If a figure is a triangle, the sum of the figure's interior angles is 180."
Then you are told p is true. In this problem that is "<span>Figure ABC is a triangle."
You can now conclude that q is true.
In this problem, q is "</span><span>the sum of the interior angles of ABC is 180"
Answer: Option A.
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Answer: 38
Step-by-step explanation:
Step 1: use variables to replace the two numbers
the second number = x
six more than twice the second number = 2x + 6
Their sum is 120: 3x + 6 = 120
Step 2: solve the equation
3x = 114
x = 114/3 = 38
Step 3: check your answer (optional)
six more than twice 38 = 82
38 + 82 = 120
hope this helps
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
Answer:
c
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
the probability it would snow is 0.07 or 7%. this is quite low. so, it is unlikely that it would snow
Answer:
An altitude of any triangle is a line from a vertex that intersects the opposite side at the right-angled vertex.
Therefore yes it does intersect the opposite side.
