Answer:
JK≅MN, KL≅NO and ∠K≅∠N
Step-by-step explanation:
we know that
A Reflection is a transformation that doesn't change the size or shape of the figure
so
Triangle JKL and triangle MNO are congruent
The corresponding sides and the corresponding angles are congruent
therefore
JK≅MN, KL≅NO,JL≅MO
and
∠J≅∠M, ∠K≅∠N,∠L≅∠O
Answer:
B- 8 ounces of blue paint mixed with 6 ounces of red paint
D - 20 ounces of blue paint mixed with 15 ounces of red paint
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.
Answer:
8 cups of trail mix
Step-by-step explanation:
2 1/2 + 3 1/4 + 2 2/3= 8 5/12
RemarkThis is costing you an awful lot of points, but it is a little hard to read. If I'm not interpreting it correctly, leave some sort of note below my answer.
Question OneIn the first question you want a line that is parallel to x = 4 and goes through the point (-7,3). If I'm reading this correctly then the line you want is x = -7. You only need the x value of the given point. I'll put a graph there to show you what it looks like on a grid. The graph is the left one for this question.
Question TwoHere I think you want the line going through (5,-1) and perpendicular to y = 4x - 7. I will make a graph for that one as well.
Begin with the slopeTwo lines are perpendicular to each other if their slopes multiply to - 1
Given slope (m1) = 4
perpendicular slope = m2
Formulam1 * m2 = - 1
4 * m2 = -1 Divide by 4
m2 = -1/4
So far what you have is
y = (-1/4)x + b
Now use the given point to solve for b
x = 5
y = - 1
b = ??
-1 = (-1/4)*5 + b
-1 = -5/4 + b Add 5/4 to both sides
-1 + 5/4 + b Make -1 into -4/4
b = -4/4 + 5/4
b = (-4 + 5)/4
b = 1/4
So the line that you want is
y = (-1/4) x + 1/4
AnswersOne: x = - 7
Two: y = (-1/4)x + 1/4
NoteThe right graph is of y = 4x - 7 and y = (-1/4)x + 1/4