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salantis [7]
2 years ago
15

Answer and explanation please

Mathematics
1 answer:
mote1985 [20]2 years ago
3 0

Answer:

x=17, y=12

Step-by-step explanation:

From the figure we know that,

Angle CDB = 4x-5

Angle BDE = 10y-3

Angle DEA= 97-2x

Though we are NOT given that line segments BD and AE are parallel, we may assume so by the construction of the triangle.

Hence, BD II AE and are cut by the transversal CE,

Hence,

Angle CDB = Angle CEA  {Corresponding angles are equal}

4x-5=97-2x\\4x+2x=97+5\\6x=102\\x=17\\\\So,\\Angle\ CDB\ = (4x-5) = (4*17-5) = (68-5) = 63

As we observe that,

Angle CDB and Angle BDE form a linear pair, they are supplementary.

Hence,

Angle CDB + Angle BDE = 180

Thus,\ 63+ Angle\ BDE=180\\Angle\ BDE\ = 180-63=117\\\\As\ BDE=(10y-3),\\117=10y-3\\117+3=10y\\120=10y\\y=12

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−4x−5+−1(x²+3)

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Combine like terms.

−4x+−5+−x²+−3

(−x²)+(−4x)+(−5+−3)

5.

It is not in standard form since this answer does NOT have x=, y=, #=. It only has the numbers. So, this is NOT in standard form.

6 0
3 years ago
Hey so im also looking for the first answer and the choices were “ is not “ and “ is “
dexar [7]

so the investigator found the skid marks were 75 feet long hmmm what speed will that be?

s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ d=75 \end{cases}\implies s=\sqrt{30(0.7)(75)}\implies s\approx 39.69~\frac{m}{h}

nope, the analysis shows that Charlie was going faster than 35 m/h.

now, assuming Charlie was indeed going at 35 m/h, then his skid marks would have been

s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ s=35 \end{cases}\implies 35=\sqrt{30(0.7)d} \\\\\\ 35^2=30(0.7)d\implies \cfrac{35^2}{30(0.7)}=d\implies 58~ft\approx d

4 0
2 years ago
What is the measure of angle CED? There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC
Citrus2011 [14]
I believe the answer is 60 degrees I am a little confused by that question though
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3 years ago
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Alex Ar [27]
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3 years ago
The number of fish (f) in a fish tank increases when the number of algae blooms (a) decreases. Write the correct equation for th
Artyom0805 [142]

Answer:

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  • 12.4 ≈ 12 fish for 4 algae blooms

Step-by-step explanation:

The 2-point form of the equation for a line is useful when you are given two points to work with:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...

  f = (4 -10)/(25 -10)(a -10) +10

  f = -6/15(a -10) +10

  f = -2/5a +14 . . . an equation for the scenario

Four a=4, the fish population is predicted to be ...

  f = -2/5(4) +14 = 12.4

There will be about 12 fish when there are 4 algae blooms.

6 0
3 years ago
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