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DiKsa [7]
3 years ago
11

Tell me how you solved thanks

Mathematics
1 answer:
Allushta [10]3 years ago
4 0
A. Similar triangles have equal angles even though they're not the same size that was similar means So then

X^2-5x=4x+36
X^2-5x-4x-36=0
X^2-9x-36=0
(X-12)(x(+3)
X=12. X=3

Angle C and angle F are equal
So 4(12)-5=43
You might be interested in
Define negative integer. Give an example of a negative integer and then give its opposite
sineoko [7]
An integer is a number and it's opposite.

A negative integer goes to the left of zero on the number line.

An example of a negative integer and it's opposite is:
negative integer: -10
opposite of the negative integer (the positive integer or additive inverse): 10

3 0
3 years ago
How many cubes with side lengths of 1/3 cm does it take to fill the prism?
user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = \frac{1}{3} cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 \frac{2}{3} = \frac{8}{3} cm

The height of prism (h) = \frac{2}{3} cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³   cm³

Or,  Volume of cube with length (l) = (\frac{1}{3})^{3}  cm³

Or,  Volume of cube with length (l) = (\frac{1}{27})  cm³

Again , Volume of prism  = \frac{1}{2}\times Length \times width \times height

Or, Volume of prism = \frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}

Or, Volume of prism = (\frac{8}{9})  cm³

<u>So , The number of cubes to fill prism  </u>

 The number of cubes × Volume of cube = Volume of prism

Or, x × (\frac{1}{27})  cm³ = (\frac{8}{9})  cm³

or   x = \frac{8\times 27}{9} = 24

Hence The number of cubes which fill the prism is 24  Answer

8 0
3 years ago
I need help with letters (D) and (E). My model equation from letter (C) is: P = -55/4 t+ 340.
IceJOKER [234]

Answer:

(a) The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope is m = -55/4

The slope means the rate of decreases of the owl population was 55/4

per year (P decreased by 55/4 each year)

(c) The model equation is P = -55/4 t + 340

(d) The owl population in 2022 will be 216

(e)  At year 2038 will be no more owl in the park

Step-by-step explanation:

* Lets explain how to solve the problem

- The owl population in 2013 was measured to be 340

- In 2017 the owl population was measured again to be 285

- The owl population is P and the time is t where t measure the numbers

 of years since 2013

(a) Let t represented by the x-coordinates of the order pairs and P

   represented by the y-coordinates of the order pairs

∵ t is measured since 2013

∴ At 2013 ⇒ t = 0

∵ The population P in 2013 was 340

∴ The first order pair is (0 , 340)

∵ The time from 2013 to 2013 = 2017 - 2013 = 4 years

∴ At 2017 ⇒ t = 4

∵ The population at 2017 is 285

∴ The second order pair is (4 , 285)

* The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope of any lines whose endpoints are (x1 , y1) and (x2 , y2)

     is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ (x1 , y1) is (0 , 340) and (x2 , y2) is (4 , 285)

∴ x1 = 0 , x2 = 4 and y1 = 340 , y2 = 285

∴ m = \frac{285-340}{4-0}=\frac{-55}{4}

* The slope is m = -55/4

∵ The slope is negative value

∴ The relation is decreasing

* The slope means the rate of decreases of the owl population was

  55/4 per year (<em>P decreased by 55/4 each year</em>)

(c) The linear equation form is y = mx + c, where m is the slope and c is

    the value of y when x = 0

∵ The population is P and represented by y

∵ The time is t and represented by t

∴ P = mt + c , c is the initial amount of population

∵ m = -55/4

∵ The initial amount of the population is 340

∴ P = -55/4 t + 340

* The model equation is P = -55/4 t + 340

(d) Lets calculate the time from 2013 to 2022

∵ t = 2022 - 2013 = 9 years

∵ P = -55/4 t + 340

∴ P = -55/4 (9) + 340 = 216.25 ≅ 216

* The owl population in 2022 will be 216

(e) If the model is accurate , then the owl population be be zero after

    t years

∵ P = -55/4 t + 340

∵ P = 0

∴ 0 = -55/4 t + 340

- Add 55/4 t to both sides

∴ 55/4 t = 340

- Multiply both sides by 4

∴ 55 t = 1360

- Divide both sides by 55

∴ t = 24.7 ≅ 25 years

- To find the year add 25 years to 2013

∵ 2013 + 25 = 2038

* At year 2038 will be no more owl in the park

8 0
3 years ago
ASAP NEED HELP AND EXPLANATION WILL GIVE BRAINLIEST
Tomtit [17]

Answer: 5

Step-by-step explanation:

4 0
2 years ago
What units could you use to measure the height of a hexagonal prism?
LenaWriter [7]
The answer is centimeters (cm)

Height is 1D dimension so we cannot use cm^2 or cm^3 to measure some distance. With cm^2 we measure surface (because surface is 2D that is why it has this ^2 next to cm) and cm^3 is unit for measuring volume (volume is 3D it has height, width and thickness that is why it has ^3)
cm^4 cannot be the answer since there is no more than 3 dimensions.
4 0
3 years ago
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