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jok3333 [9.3K]
3 years ago
15

Solve x, this figure is a parallelogram, please show your work

Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

Since it's a parallelogram, the angle BCE(79) = angle CED(79)

so... 79+63 = 142

now...

142+8x+6=180(sum of angles in a triangle)

148+8x=180

8x=32

x=4

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5 0
3 years ago
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In ΔUVW, w = 44 cm, u = 83 cm and ∠V=141°. Find the area of ΔUVW, to the nearest square centimeter.
Tema [17]

Answer:

Area  \approx 1149\ cm^2

Step-by-step explanation:

<u>Given that:</u>

ΔUVW,

Side w = 44 cm, (It is the side opposite to \angle W)

Side u = 83 cm (It is the side opposite to \angle U)

and ∠V=141°

Please refer to the attached image with labeling of the triangle with the dimensions given.

Area of a triangle with two sides given and angle between the two sides can be formulated as:

A = \dfrac{1}{2}\times a\times b\times sinC

Where a and b are the two sides and

\angle C is the angle between the sides a and b

Here we have a = w = 44cm

b = u = 44cm

and ∠C= ∠V=141

Putting the values to find the area:

A = \dfrac{1}{2}\times 44\times 83\times sin141\\\Rightarrow A = \dfrac{1}{2} \times 3652 \times sin141\\\Rightarrow A =1826 \times 0.629\\\Rightarrow A  \approx 1149\ cm^2

So, the <em>area </em>of given triangle to the nearest square centimetre is:

Area  \approx 1149\ cm^2

8 0
3 years ago
3x +2y=10 4x-y=6 using substitutional method​
Anna11 [10]

Answer:

( 2 , 2 )

Step-by-step explanation:

Solve the eqaution :

3x +2y=10

4x-y=6

Solve the eqaution for y :

3x + 2y = 10

y = -6 + 4x

Substitute for y : 3x + 2 ( -6 + 4x ) = 10

x = 10

Substitute for the value of x : x = 2

Substitute the given value of x into the eqaution

y = -6 + 4x : y = -6 + 4 × 2

Solve the eqaution: y = -6 + 4 × 2

solve the eqaution for y : y = 2

y = 2 A possible solution : the ordered solution pair is

( 2 , 2 )

8 0
2 years ago
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Lesechka [4]

Answer:

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2 years ago
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Points V, W, X, Y, and Z are graphed on a number line. The coordinate of point V is –4. What points are at a distance of 9 units
snow_tiger [21]
-8 + 5, -8 - 5
A.
W = –13
C.
<span>Y = –3
</span><span>points are at a distance of 9 units from point V.
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8 0
3 years ago
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