Question

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Answer 1

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Step-by-step explanation:

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Answer 2

Answer:

Q. 14.

we know that the sum of the four angles of a quadrilateral is equal to 360° .

let us take equal angles (as mention in the question) be of x°

then.,

$x + x + x + 150 = 360$

$3x = 360 - 150$

$3x = 210$

$x = 70$

the measure of equal angles is 70

Q. 15.

let the number be x

two thirds of the number = 2x/3

according to the problem given,

$x + \frac{2x}{3} = 55$

$\frac{3x + 2x}{3} = 55$

$\frac{5x}{3} = 55$

$x = \frac{(55 \times 3)}{5}$

$x = 11 \times 3$

$x = 33$

the number is 33

Q. 16.

$= \frac{9x {}^{2} }{ \sqrt{3x} }$

$= > \frac{3 \times \sqrt{3} \times \sqrt{3 \: x} }{ \sqrt{3} }$

$= > 3 \sqrt{3x}$

Q. 17.

given that

base area = 180 cm²

volume = 900 cm³

we need to find the height of cuboid.,

now,

volume of a cuboid = 900

base area × height = 900

180 × h = 900

$height = \frac{900}{180}$

$\: \: \: \: = \frac{90}{18}$

height of cuboid = 5 cm

Q. 18.

for any polyhedron,

faces + vertices - edges = 2

here.,

faces = 20

vertices = 12

edges = ?

using above formula.,

$20 + 12 - edges = 2$

$32 - edges = 2$

$edges = 30$

Q. 19.

sample space = 1,2,3,4,5,6.

A perfect square in samples = 1,4

= 2

probability of getting perfect square

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{6}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}$

Q. 20.

given that

here, king,queen and jack of club are removed from the deck of 52 playing cards

so, remaining cards in deck = 52-3 = 49

total number of outcomes = 49

we know that there are 4 queens in a deck.after removing a queen of club we left with 3 queens.

let

$e_{2} = event \: of \: getting \: a \: queen$

number of favourable outcomes to

$e_{2} = 3$

required probability

$p( e_{2}) = \frac{3}{49}$

hope it's help you