Step-by-step explanation:
to find the x intercept make y =0
6x - 2(0) = 12
6x = 12
x= 2
x intercept (2,0)
to find y intercept make x=0
6(0) - 2y = 12
-2y = 12
0= 12 + 2y
-12 = 2y
y= -6
y intercept (0,-6)
Answer:
AC and DF
Step-by-step explanation:
Corresponding sides as well as corresponding angles have a pair of same angles or sides that are in the same place in two different shapes that are similar.
Find attached the diagram used for solving the question
Since Δ ABC = Δ DEF
∠B corresponds to ∠E
∠A corresponds to ∠D
∠C corresponds to ∠F
As a result of the above:
Line AB corresponds to line DE
Line AC corresponds to line DF
Line BC corresponds to line EF
Therefore, if Δ ABC = Δ DEF, one of the pair of corresponding parts would be AC and DF.
Answer:
0 < x < 12
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the two sides must be greater than the length of the third side. 6+6 = 12
0 < x < 12
Answer:
B) Checkers Club
Step-by-step explanation:
The spread is the difference between the minimum and the maximum. Those extreme values are indicated by the dots at the ends of the "whiskers" in the "box and whisker" plot.
Chess club extends from 8 to 18, so the spread is 18 -8 = 10.
Checkers club extends from 6 to 17, so the spread is 17 -6 = 11. This is a greater value than 10.
Checkers club has the greater spread.
Answer:
See explanation.
Step-by-step explanation:
Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.
Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,
