MA=80,5-35
MA=45,5
MN/MA=MP/MB
80,5/45,5=96,6/x
80,5x=45,5*96,6
80,5x=4395,3
x=4395,3/80,5
x=54,6m
Answer:
Step-by-step explanation:
A)
Dilation. Since it's only the size of the figure that's changing
B)
Height of the smaller one: 4
Width of the smaller one: 6
Height of the bigger one: 6
Width of the bigger one: 9
6/4 = 1.5
9/6 = 1.5
Since both 6/4 and 9/6 was 1.5, that means that the Width and Height was proportional and that the two trapezoids is at a ratio o:
1 : 1.5
One unit of the smaller one is 1.5 units on the bigger one.
Answer:
x = negative five halves y + 4
Step-by-step explanation:
We have to solve an equation of two variables x and y for x.
So, the solution of x will be in terms of y.
The equation is 2x + 5y = 8
⇒ 2x = 8 - 5y
⇒
⇒
Therefore, the solution is x = negative five halves y + 4 (Answer)
Answer:38
Step-by-step explanation:
The diagonal of a rectangle creates the hypotenuse of a right triangle. Use the Pythagorean theorem, a2 + b2 = c2, where a = 30 ft and b = 24 ft, to calculate the length of the fence c.
a2 + b2 = c2
302 + 242 = c2
900 + 576 = c2
1476 = c2
38.42 ≈ c
The fence should be about 38 feet long. Isn't it strange to divide a garden in half diagonally with a fence? It doesn't seem to serve the purpose of keeping intruders out. It doesn't seem to serve any purpose, really.
Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12