Answer:
x = 25, y = 9
Step-by-step explanation:
Since the triangles are congruent then corresponding angles and sides are congruent, thus
∠ O = ∠ P , substitute values
6y - 14 = 40 ( add 14 to both sides )
6y = 54 ( divide both sides by 6 )
y = 9
and
NG = IT , that is
x - 2y = 7 ( substitute y = 9 into the equation )
x - 2(9) = 7
x - 18 = 7 ( add 18 to both sides )
x = 25
Answer:
50 miles
Step-by-step explanation:
See the step-by-step solution in the picture attached below.
I hope this answer will help you. Have a nice day !
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
<h2>
Hello!</h2>
The answer is: 50% (0.5)
<h2>
Why?</h2>
Exponential growth equations are use to predict the growth (in function of time) using proportional information.
We can calculate the exponential growth using the following formula:

Where,
S, is the starting value
r, is the growth rate
t, is the time
So, we are given the function:

Where,
f(t), is the function,
3, is the starting value (lb)
0.5 (50%) is the growth rate
nt, is the time elapsed.
Hence,
From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.
We can turn the growth rate given in real numbers to percent value by multiplying by 100

So, the growth rate is 50%.
Have a nice day!
<em>there are 208 cups in 13 gallons.</em>