Answer:
Vertical angles
Step-by-step explanation:
The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.
Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.
Answer:
18x - 36
Step-by-step explanation:
In an equilateral triangle the 3 sides are congruent, then
perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms
= 18x - 36
Answer:
A. 90 sq. units
Step-by-step explanation:
5(18) = 90
Answer:
216
Step-by-step explaination
They are cubic numbers.
In the sequence;
if you cube 1, you get 1.
if you cube 2, you get 8.
if you cube 3, you get 27.
if you cube 4, you get 64.
if you cube 5, you get 125.
So if you cube 6, you get 216 and thus you're answer
Answer:
x = 2
Step-by-step explanation:
In the given figure
∵ ABC is a triangle
∵ D is a point on side AB
∵ E is a point on side BC
∵ DE // AC
∵ AC is the third side of the triangle
→ That means DE divides the sides AB, BC into parts that have the same ratio
∴ 
= 
∵ BD = 6 and DA = 4
∵ BE = x + 1 and EC = x
→ Substitute them in the ratio above
∴ 
= 
→ By using the cross multiplication
∵ 6 × x = 4 × (x + 1)
∴ 6x = 4(x + 1)
∴ 6x = 4(x) + 4(1)
∴ 6x = 4x + 4
→ Subtract 4x from both sides
∵ 6x - 4x = 4x - 4x + 4
∴ 2x = 4
→ Divide both sides by 2 to find x
∴ x = 2
