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2 years ago

Find the value of each variable in the diagram given that a ∥ b.

Mathematics

1 answer:

Alika [10]2 years ago

4 0

The values are as follows:

z=50

v= 150

x= 100

y=15

w= 50

<h3>What is parallel lines?</h3>

Parallel lines are lines in a plane that are always the same distance apart.

z+130= 180 (Linear pair)

z=50

v+ 30 = 180 (Linear pair)

v= 150

x= 180- 30 - 50 (angle sum property)

x= 100

2y=30 (alternate interior angle)

y=15

w+x+2y=180 (Linear pair)

w+ 100 + 30 = 180

w= 50

Learn more parallel lines here:

brainly.com/question/16701300

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

|2x-5|<1<br><br> i need help pleaseeeeee

Fofino [41]

Answer:

x < 3 or x < 2

Step-by-step explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

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2x < 1 + 5

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Therefore, x < 3 or x < 2

7 0

3 years ago

The diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of t

Brut [27]

Answer:

Area of Shaded Region $=50\pi$ cm^2$

Area of Semicircle $=50\pi$ cm^2$

$\dfrac{\text{Area of Shaded region}}{\text{Area of Square}}=\dfrac{ \pi}{8}$

Step-by-step explanation:

Area of Shaded Region = Area of Sector - Area of Semicircle

<u>Area of Sector</u>

Radius of the sector =20cm

$=\frac{90}{360}X\pi *20^2\\ =100\pi cm^2$

<u>Area of Semicircle</u>

Since AB is the diameter of the semicircle

Radius of the Semicircle=20/2=10cm

Area of semicircle

$=\frac{\pi r^2}{2}\\ =\frac{\pi *10^2}{2}\\=50\pi cm^2$

Therefore, area of Shaded Region

$=100\pi -50 \pi\\=50\pi$ cm^2$

Area of Square =20 X 20 $=400 cm^2$

$\dfrac{\text{Area of Shaded region}}{\text{Area of Square}} \\=\dfrac{50 \pi}{400} \\=\dfrac{ \pi}{8}$

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3 years ago

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