In the two triangles, all the three sides are congruent to the corresponding sides of the other triangle. And in such case, the criteria used for congruency is Side Side Side or SSS .
So the correct option is the first option .
Answer:
The first five terms are;
-3,-7,11,-29,69
Step-by-step explanation:
The recursive definition of the sequence is
, 
and 
.
When n=3, we obtain;
.
.
.
.
When n=4
.
.
When n=5
.
.
Therefore the first five terms are;
-3,-7,11,-29,69
Evaluate 2(x + 1) - 3 when x = 6.
First, plug in x value.
2(6 + 1) -3 ParenthesisEMDAS
2(7) - 3 PEMultiplyDAS
14 - 3 PEMDASubtract
11 ←
Answer:
12 trips
Step-by-step explanation:
Given;
Dimension of cone shapef pile of earth;
height h = 12 ft = 4 yards
diameter d = 30 ft = 10 yards
radius r = d/2 = 10/2 = 5 yards
The volume of a cone V;
V = (1/3)πr^2 h
Substituting the given values;
V = (1/3) ×π × 5^2 × 4 cubic yards
V = 104.72 cubic yards
Given that a dump truck have a capacity of 9 cubic yards.
Vc = 9 cubic yards
Number of trips it will take is;
N = Volume of earth pile/truck capacity
N = V/Vc
Substituting the values;
N = 104.72/9
N = 11.64
N ≈ 12 trips
Therefore, the truck will make 12 trips
Answer:
Infinitely many solution.
Step-by-step explanation:
The given system is
x = y + 4
y = x - 4
To graph the first equation, we write it in slope-intercept form to get: to
x=y+4
This implies y=x-4.
This has a slope of 1 and a y-intercept of -4.
The graph of this function is shown in the attachment.
The second equation is y=x-4.
This equation is identical to first equation, so its graph coincides with the first one.
The system has infinitely many solution.
