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If A is an acute angle and sin A = 0.5, then the value of A = ___

Which of the following options represents diagonal(s) of the given quadrilateral?

In a $\Delta ABC$ median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.

Study the following pattern and write the next 2 steps:

36 x 15 = 180 x 3

36 x 20 = 180 x 4

36 x 25 = 180 x 5

The mean of discrete observations $y_1,y_2,\dots \dots y_n$ is given by

What will be the ratio of the areas of squares, when the diagonal of one square is double the other?

A circular wire of radius 15 cm is cut and bent so as to lie along the circumference of a loop of radius 120 cm. Write the measure of the angle subtended by it at the centre of the loop.

Question 108(i)

Verify the property $x\times y=y\times x$ of rational numbers by using $x=7$ and $y=\frac{1}{2}$

Question 10

Let y varies directly as x. if y = 12 when x = 4, then write a linear equation. What is the value of y when x = 5?

Simplify:

($24x{y}^2+16x^3{y}^2$) $÷$ ($4xy$)

Dev is standing 100 ft from the tower and sees a bird on the top of the tower 200 ft away. Then, what is the angle of elevation of the bird?

Question 97

Solve the following:

The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3:2. Find their present ages.

In the given figure, $\angle X=62º,\angle XYZ=54º$. If YO and ZO are the bisectors of $\angle XYZ$ and $\angle XZY$ respectively of ΔXYZ, find $\angle OZY$ and $\angle YOZ$.

If $lo{g}_{x}5=a$ and $lo{g}_{20}x=b$. Then what is the value of $lo{g}_{x}10$?

In the figure shown below , if $\frac{PS}{SQ}$= $\frac{PT}{TR}$ and$\angle$PST= $\angle$PRQ, then find the type of $\Delta$PQR .

Two different positions of the same die are shown. Which number will be at the top if $4$ is at the bottom?

Show that in a right angled triangle, the hypotenuse is the longest side.

Simplify:

${\left(\frac{1}{4}\right)}^{-2}+{\left(\frac{1}{2}\right)}^{-2}+{\left(\frac{1}{3}\right)}^{-2}$

Which of the following equations have x = 7, y = 3 as solution?

Here AB $\parallel$ CD. If the altitude of $△$ACD is 6 cm and CD is 8 cm then the area of $△$BCD is:

Chords $AB$ and $CD$ of a circle intersect each other at point $P$ such that $AP=CP$.

Show that : $AB=CD$.

In the given figure, A, B and C are three points on a circle with centre O such that ∠BOC = 30° and ∠AOB = 60°. If D is a point on the circle other than the arc ABC, find ∠ADC.

Out of the following given figures,which are on the same base but not between the same parallels?

The shaded part of the circle in the given figure represents a

Two intersecting straight lines have

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = $3x^3+x^2$ - 20x + 12, g(x) = 3x - 2