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Marysya12 [62]
1 year ago
9

Find the value of x y, and z in the parallelogram below.

Mathematics
1 answer:
EastWind [94]1 year ago
6 0
Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.

Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
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enot [183]
Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.

I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.

See picture below

Formula
V = B * H 

Sub and Solve
V = 1024
r = 8
p=3.14

V = pi*r^2 * h
1024 = 3.14*8^2 * h    combine the right side.
1024 = 3.14*64 *h       
1024 = 200.96 * h       divide by 200.96
1024/200.96 = h
You are only getting 5 inches.

None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.

5 0
3 years ago
Drag each tile to the correct box. Not all tiles will be used. Consider function f. f(x)=7x-21 Place the steps for finding in th
dimulka [17.4K]

x=7x-21

Step-by-step explanation:

  • x=7x-21
  • 21=7x-x
  • 21=6x
  • x=21/6
  • x=7/2
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5 0
2 years ago
A bicyclist was on a three day tour around a lake. On the first day, he rode 78 miles, on the second day he rode 54 miles, and o
gogolik [260]

Answer:

240 miles

Step-by-step explanation:

78+54+2(54)=240

7 0
3 years ago
Read 2 more answers
Find slope plz!!!!ty
irga5000 [103]

Answer:

the slope is 3/5

Step-by-step explanation:

\frac{10-7}{5-0} =\frac{3}{5}

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2 years ago
a tourist drove his car for the total of 17.5 hours while on a 3-day vacation on the first day he drove 4.5 hours in the second
AleksAgata [21]

Answer:

1.75 hours

Step-by-step explanation:

Time for day 1 : 4.5 hrs

Time for day 2: (4.5 ×2.5)

Time for day 3: let it be denoted by a variable ,say T.

Total Time= 17.5

(Time for day 1 ) + (Time for day 2) +(Time for day 3) =17.5

4.5 + (4.5×2.5) + T = 17.5

4.5+11.25+T =17.5

15.75+T=17.5

T=17.5-15.75

T= 1.75

7 0
3 years ago
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