45 POINTS* Find the values of x and y

The perimeter of a stop sign has a perimeter of 16x2 - 80x. What is the length of one side?

uranmaximum [27]

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

7 0

3 years ago

Which theorem or postulate proves that △ABC and △DEF are similar?

yan [13]

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

$\frac{ED}{AB}= \frac{7}{21}$

$\frac{ED}{AB}= \frac{1}{3}$

and

$\frac{EF}{BC}= \frac{11}{33}$

$\frac{EF}{BC}= \frac{1}{3}$

Thus

$\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}$

∠ABC = ∠DEF (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

7 0

3 years ago

Read 2 more answers

Two congruent squares and a parallelogram were used to form the figure shown. 3 meters, 6 meters, 2.8 meters, 3 meters What is t

elixir [45]

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

$Area = 2 * (3m * 3m) + 2.8m * 6m$

Evaluate the products

$Area = 18m^2 + 16.8m^2$

Evaluate the sum

$Area = 34.8m^2$

Hence, the surface area of the figure is 34.8 square meters

Read more about surface areas at:

brainly.com/question/24571594

3 0

2 years ago

A rocket is launched at 85 ft./s from a launch pad that’s 28 feet above the ground. which equation can be used to determine the

3241004551 [841]

Answer:

$h(t)=-16t^2+85t+28$ 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: $h(t)=\dfrac{1}2gt^2+v_0t+h_0$

g ⇒ acceleration due to gravity (-32 ft/s)

v ⇒ Initial velocity ( $v_0=85\ ft/s$ )

h ⇒ Initial height ( $h_0=28\ feet$ )

h(t) ⇒ function of height at any time t

Substitute the given values into formula

$h(t)=\frac{1}{2}(-32)t^2+(85)t+28$

$h(t)=-16t^2+85t+28$

D is correct.

6 0

3 years ago

Read 2 more answers

How do you write y=25x-56 in standard form?

Tcecarenko [31]

To put a slope-intercept into standard form, you have to first cancel out the fractions. So:
$y = \frac{2}{5}x - \frac{5}{6}$

Turns into:
$(5)(6)y = (\frac{2}{5}x - \frac{5}{6})(5)(6)$

Simplify:
$30y = (\frac{2}{5}x - \frac{5}{6})(30)$

Distribute:
$30y = 12x- 25$

Since you want to get x and y on the same side, you subtract 12x from both sides to get:
$-12x+30y = -25$

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.

6 0

4 years ago