Answer:
18
Step-by-step explanation:
A rectangular prism has four parallel edges along its length, four parallel edges along its width, and four parallel edges along its height.
We want to know how many different pairs of parallel edges there are. Starting with the length, the number of unique pairs is:
₄C₂ = 6
The same is true for the width and height. So the total number of different pairs of parallel edges is:
3 × 6 = 18
Answer:
A 1:6
Step-by-step explanation:
3:18 simply to 1:6
We have the following expression:
(2x ^ 3-12x ^ 2 + 10x-108) / x-6
Dividing the expression between x-6 we have:
quotient: 2x ^ 2 + 10
remainder: - 48
We can check the result then rewriting the expression:
2x ^ 3-12x ^ 2 + 10x-108
= (2x ^ 2 + 10) * (x-6) - 48
= (2x ^ 3 + 10x - 12 x ^ 2 - 60) - 48
= 2x ^ 3-12x ^ 2 + 10x-108
Division OK.
Answer:
The result of the division is:
quotient: 2x ^ 2 + 10
remainder: - 48
Answer:
B) ∠B ≅ ∠K
Step-by-step explanation:
The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).
Answer:
1.8 and 14.3
Step-by-step explanation:
Our equation is a quadratic equation so we will use the dicriminant method
- Let Δ be our dicriminant
- a=1
- b= -16
- c= 25
- Δ= (-16)²-4*25*1=156≥0
- so we have two solutions : x and y
- x= (16-
)/2= 1.7555≈ 1.8 - y=(16+)/2=14.244≈ 14.3
