Answer:
<h2>x = -3.6</h2>
Step-by-step explanation:
6 + 5x - 2 = -14
5x + (6 - 2) = -14
5x + 4 = -14 <em>subtract 4 from both sides</em>
5x = -18 <em>divide both sides by 5</em>
x = -3.6
Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about 
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
m<DCE=m<ACB -----> by vertical angles
m<EDC=m<ABC -----> is a right angle
m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore
substitute the values and solve for AB
Answer:1/3
Step-by-step explanation:
3 (amount of reds)
------------------------
3+2+4 (sum of all marbles red+Blue+Yellow)
simplfy
3 /3
---- =1/3
9 /3
Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³
Answer:
The equation can define y as a function of x and it also can define x as a function of y.
Step-by-step explanation:
A relation is a function if and only if each value in the domain is mapped into only one value in the range.
So, if we have:
f(x₀) = A
and, for the same input x₀:
f(x₀) = B
Then this is not a function, because it is mapping the element x₀ into two different outputs.
Now we want to see it:
x + y = 27
defines y as a function of x.
if we isolate y, we get:
y = f(x) = 27 - x
Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.
Now we also want to check if:
x + y = 27
defines x as a function of y.
So now we need to isolate x to get:
x = f(y) = 27 - y
Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.
