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Arisa [49]
3 years ago
11

Wegnerkolmp or someone who can explain maths please I need a proper explanation

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

You might be interested in
FILL IN THE BLANK
IgorLugansk [536]
Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.

now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.

\bf \begin{array}{ccccllll}
\stackrel{increase}{x}&\stackrel{new}{price}&students&\stackrel{revenue}{y}\\
------&------&------&------\\
0&12&14&168\\
1&14&13&182\\
2&16&12&192\\
3&18&11&198\\
\boxed{4}&20&10&\boxed{200}\\
5&22&9&198\\
6&24&8&192\\
7&26&7&182\\
8&28&6&168\\
..&..&..&..
\end{array}

notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.

thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
\stackrel{c(x)}{y}=a(x-\stackrel{h}{4})\stackrel{k}{+200}
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=2\\
y=192
\end{cases}\implies 192=a(2-4)^2+200
\\\\\\
-8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a
\\\\\\


\bf therefore\qquad \stackrel{ c(x)}{y}=-2(x-4)^2+200\impliedby \textit{let's expand that}
\\\\\\
y=-2(x^2-8x+16)+200\implies y=-2x^2+16x-32+200
\\\\\\
\stackrel{y}{c(x)}=-2x^2+16x+168
3 0
3 years ago
Read 2 more answers
Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Kazeer [188]

Answer by JKismyhusbandbae: -12 ≤ f ≤ 6

-3f - 9|-8+8 ≤ 19 + 8

|-3f-9|≤ 27

-3f-9≤ 27 and -3f - 9≥ 27

-3f-9+9≤27+9

-3f ≤ 36

(-3f) (-1) ≥ 36 (-1)3f ≥ - 36

\frac{3f}{3} ≥ \frac{-36}{3}

f ≥ - 12-3f

-9+9≥-27+9

-3f≥-18

\frac{3f}{3} ≤ \frac{18}{3}

F  ≤ 6

8 0
3 years ago
Read 2 more answers
Solve -5w = -80 for w.<br><br> w =
Aleks [24]

Answer:

w=4

Step-by-step explanation:

-80/-5=4

6 0
3 years ago
Read 2 more answers
What is the distance between the points (-2,4) and (6,-4), rounded to the nearest tenth
jarptica [38.1K]

9514 1404 393

Answer:

  11.3 units

Step-by-step explanation:

The distance can be found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((6 -(-2))² +(-4-4)²) = √(8² +(-8)²) = √(64·2)

  d = 8√2 ≈ 11.3

The distance is approximately 11.3 units.

5 0
3 years ago
What is the solution to this equation?<br><br> 8x - 5 (x-3) = 18
Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

3 0
3 years ago
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