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In the figure, triangle ABC is an isosceles triangle with AB = AC and measure of angle ABC = 50^o. Then the measure of angle BDC and angle BEC will be

If the edge length of a square is 10 units, the area of the square is ___ square units.

Use the following information to answer the next question.

With respect to the given figure, some statements are given as follows.

I. AD > AB

II. AD − AC > CD

III. AB + CD > AD

Among the given statements,

Which is a solution of 3x + 4y = 2?

In $△$BLE, BL = LE. What is the angle opposite to side BE if $\angle$LBE is equal to ${45}^{\circ }$

Which is the correct representation of a line segment?

In a group of 70 people, 37 like coffee, 52 like tea and each person like at least one of the two drinks. The number of persons liking both coffee and tea is ___.

Two equal chords AB and CD intersect at a point P inside the circle. If AP = 12 cm, PC = 4 cm, then the length of chord CD is

A car has two wipers which do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of ${115}^{\circ }$. Find the total area in $c{m}^2$ cleaned at each sweep of the blades.

So, 2.4s + 3t = 7 is a linear equation in two variable.
A linear equation in one variable is an equation of the form ...........

If 11.25m of a uniform iron rod weighs 42.75kg, what will be the weight of 6m of the same rod?

In the given figure, if the altitude and the base of parallelogram are 12 cm and 6 cm respectively, then the area of triangle BEC is:

A figure is said to have line symmetry, if ____.

If ABCDEF is a regular hexagon with $\overrightarrow{AB}=\overrightarrow{a}$ and $\overrightarrow{BC}=\overrightarrow{b}$,then $\overrightarrow{CE}$

In the diagram, select the major arc and the minor arc respectively, of the circle, with respect to the chord $AB.$

Three boys, Ankur, Syed and David are sitting at equal distances on the boundary of a circular park of radius $20m.$ Each of them has a toy telephone to talk to each other. Find the length of the string that connects the telephones of any two of the boys.

The Claude crayon company can make 2400 crayons in 4 minutes. If each crayon box has 12 crayons, how many crayon boxes can they make in 15 minutes?

Simplify the following expression :

$\frac{\frac{1}{2}\times (0\times (\frac{696}{142}\times \frac{989}{789}\times \frac{456}{989}\times \frac{142}{696}\left)\right)+\frac{5}{6}\times 9\times 0}{(\frac{989}{456}+\frac{498}{981}+\frac{598}{251}+\frac{198}{256})\times 989}$

Represent 15.712121212…in a rational form. [4 MARKS]

Which of these cannot be the area of a right-angled triangle if the hypotenuse of the triangle is 13 m and one other side is 5 m?

What is the largest number that perfectly divides 480 and 270?

The angles of a quadrilateral are in the ratio $3:5:7:9$. Find the measure of the greatest angle.

The perpendicular distance of a point from x-axis measured along y-axis is known as

1. Ordinate

2. Abscissa.

3. X- coordinate.

4. Y- coordinate.

Which of the above options is/are correct?

In $\Delta ABC$, if D is a point on the side AB such that $\frac{AB}{AD}=3$. Find $\frac{AD}{DB}$.

Which of the following is true for below given figure if AB║CD and PQ║ RS?

In the figure, name the following :

(i) Five line segments.

(ii) Five rays.

(iii) Four collinear points.

(iv) Two pairs of non-intersecting line segments.

In the figure below, a ray OC extends from a point O on a straight line AB. If $\angle$AOC = ${135}^{\circ }$. Find $\left(\frac{\angle BOC}{3}\right)$.

In the figure, AB = AC and AP $\perp$ BC. Then

On one page of a telephone directory, there are 200 phone numbers. The frequency distribution of their unit's digits is given below:

$\begin{array}{ccccccccccc}\text{Unit's digit}& 0& 1& 2& 3& 4& 5& 6& 7& 8& 9\\ \text{Frequency}& 19& 22& 23& 19& 21& 24& 23& 18& 16& 15\end{array}$

One of the numbers is chosen at random from the page. What is the probability that the unit's digit of the chosen number is (i) 5? (ii) 8?

In the given figure, O is the centre of the circle. $\angle \text{PBC}={25}^{\circ }\text{and}\angle \text{APB}={110}^{\circ }$, find the value of $\angle \text{ADB.}$

In the given figure, $BO$ and $CO$ are the bisectors of $\angle B$ and $\angle C$ respectively. If $\angle A={50}^{\circ }$ then $\angle BOC=?$

$\left(a\right){130}^{\circ }\left(b\right){100}^{\circ }\left(c\right){115}^{\circ }\left(d\right){120}^{\circ }$

Show that the quadrilateral formed by joining the midpoints of the pairs of adjacent sides of a rectangle is a rhombus.

In the figure, ABCD is a cyclic quadrilateral in which $\angle BAD={75}^o$, $\angle ABD={58}^o$ and $\angle ADC={77}^o$, AC and BD intersect at P. Then, find $\angle DPC$.

In the figure, O is the centre of the circle such that $\angle AOC={130}^o,then\angle ABC=$

In a $\Delta ABC,if\angle A={120}^{\circ }andAB=AC.Find\angle Band\angle C.$

For constructing which among the following angles(in degrees) is a protractor not necessary?

If $y=\frac{1}{2}(3x+7)$ is rewritten in the form ax + by + c = 0, which of the following are true regarding the values of a, b and c?

All the angles of a quadrilateral can be right angles. Is this statement true? Give reasons for your answer.

Why is 22/7 non terminating and non recurring even though it is a rational number in p/q form?

If x+y+z=6 and xy+yz+zx=12 then show that x^{​​​​​​3}​​​​​+y^{​​​​​​3}+z3=3xyz

pls send the answer fast

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle$DBC = 70${}^{\circ }$, $\angle$BAC = 30${}^{\circ }$, find $\angle$​BCD. Further, if AB= BC, find $\angle$​ECD.

A ___ bisector divides the line segment into two equal halves and the angles thus formed are both right angles.