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mina [271]
3 years ago
8

ZABD and ZCBD are adjacent. Given that m_ABC is 68º. MZABD= (2x + 5)º, and mZCBD= (3x+8)º, find mZCBD.

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

I think that the required options are wrong.

Answer is given below with explanations.

mZCBD = 41 degrees

Step-by-step explanation:

from \: the \:  \: above \: mentioned \: diagram \\ we \: can \: say \: that \:  \\( angle \: ABD) + (angle \: DBC) = 68 \\ given \: that \:  \: angle \: ABD = 2x + 5 \\ and \: \:  angle \: CBD = 3x + 8 \\ on \: substituting \: the \: values \\ (2x + 5) + (3x + 8) = 68 \\ 5x + 13 = 68 \\ 5x = 68 - 13 \\ 5x = 55 \\ x =  \frac{55}{5}  \\ x = 11 \\ angle \: CBD = 3x + 8 \\  \:  \:  = 3(11) + 8 \\  \:  \:  = 33 + 8 \\  \:  \:  angle \: CBD= 41

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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A round silo is 55 feet tall and has a 24 foot radius. How high would a load of 38000 cubic feet of grain fill the silo?
VARVARA [1.3K]

Find the volume of the silo.

The formula is: Volume =  PI x r^2 x h

Replace volume with the volume of grain and solve for h:

38000 = 3.14 x 24^2 x h

38000 = 3.14 x 576 x h

38000 = 1808.64 x h

Divide both sides by 1808.64

h = 38000 / 1808.64

h = 21.01

The grain would be 21.01 feet ( round to 21 feet.)

6 0
3 years ago
Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av
Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using:  distance = speed x time

\implies t=\dfrac{d}{v}

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

\implies t=\dfrac{18}{v}  \ \ \textsf{and} \ \  t=\dfrac{18}{v+15}

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1

Now all we have to do is solve the equation for v:

\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1

\implies \dfrac{18(v+15)+18v}{v(v+15)}=1

\implies 18(v+15)+18v=v(v+15)

\implies 18v+270+18v=v^2+15v

\implies v^2-21v-270=0

\implies (v-30)(v+9)=0

\implies v=30, v=-9

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0
2 years ago
Read 2 more answers
Please somebody help me
Montano1993 [528]
60=4/5x
4/5=0.8
60/0.8=75
X=75
5 0
3 years ago
Read 2 more answers
How do I do this <br> X+y=-4<br> 3x-6y=15
avanturin [10]

Answer:

x=-1, y=-3. (-1, -3).

Step-by-step explanation:

x+y=-4

3x-6y=15

---------------

x=-4-y

3(-4-y)-6y=15

-12-3y-6y=15

-12-9y=15

9y=-12-15

9y=-27

y=-27/9

y=-3

x+(-3)=-4

x-3=-4

x=-4+3

x=-1

8 0
3 years ago
Please help!!! I don’t get any of this can someone please explain what to do and how I can get my answer????
diamong [38]
Its just a matter of subbing ur numbers into the formula given
1. d = rt
    when r = 144 and t = 18
    now we sub
    d = 144 * 18
    d = 2592 <==
2. d = rt
    when r = 56 and t = 3.5
    sub
    d = 56 * 3.5
   d = 196 <==

3. A = L * W
    when L = 2 ft and W = 15 inches....this one u have to convert to     inches...2 ft = 24 inches...so L = 24 and W = 15
    A = 24 * 15
    A = 360 in^2 <==

4. A = L * W
    L = 3m and W = 32 cm...have to convert to cm.....1 m = 100 cm...so 3 m = 300 cm
    A = 300 * 32
    A = 9600 cm^2 <==

u basically do the same for all the others....its just a matter of subbing and solving
  
    
7 0
3 years ago
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