Since a stop sign is an octagon it has eight sides. So the perimeter will be:
p=8x, p=perimeter and x=side length. We are told that the perimeter is equal to:
16x^2-80x so we can say:
16x^2-80x=8x subtract 8x from both sides
16x^2-88x=0 factor out 8x
8x(2x-11), since we know x>0
x=11/2
x=5.5 units
Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF


and


Thus

∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .
The area of a figure is the amount of space the figure occupies
The surface area of the figure is 34.8 square meters
<h3>How to determine the area of the shape</h3>
From the question, we have:
- The dimensions of the congruent squares are 3 m by 3 m
- The dimensions of the parallelogram are height of 2.8 m, and base of 6 m
So, the area of the figure is:
Area = 2 * Area of square + Area of parallelogram
This gives

Evaluate the products

Evaluate the sum

Hence, the surface area of the figure is 34.8 square meters
Read more about surface areas at:
brainly.com/question/24571594
Answer:
is equation of height of rocket.
Option D is correct.
Step-by-step explanation:
Given: A rocket is launched with speed 85 ft/s from a height 28 feet.
Launching a rocket follows the path of parabola. The equation of rocket should be parabolic.
Parabolic equation of rocket is
Formula: 
g ⇒ acceleration due to gravity (-32 ft/s)
v ⇒ Initial velocity (
)
h ⇒ Initial height (
)
h(t) ⇒ function of height at any time t
Substitute the given values into formula


D is correct.
To put a slope-intercept into standard form, you have to first cancel out the fractions. So:

Turns into:

Simplify:

Distribute:

Since you want to get x and y on the same side, you subtract 12x from both sides to get:

So, your answer is
C. Hope this all made sense! If it doesn't you know where to get a hold of me, so just dm me. Or if you more problems.