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In ∆ABC and ∆DEF, AB = DF and ∠A = ∠D. The two triangles will be congruent by SAS axiom if:

Multiplicative inverse of $-\frac{21}{8}$ is

What are variables? How can we find variables?

Solve: $0.5x-(0.8-0.2x)=0.2-0.3x$

A carpenter was making tables. He uses 4 wooden blocks to make 1 table. One day he got an order for 5 tables.
How many wooden blocks will he need to complete the consignment?

Question 17
If we rotate a right-angled triangle of height 5 cm and base 3 cm about its height a full turn, we get

a) Cone of height 5 cm, base 3 cm

b) Triangle of height 5 cm, base 3 cm

c) Cone of height 5 cm, base 6 cm

d) Triangle of height 5 cm, base 6 cm

The multiplicative inverse of ${10}^{-7}$ is ___

Question 4(ix)
Write the equation for the following statement:
If you add 3 to one-third of z, you get 30.

Study the information in the following pie charts to answer these questions:

DETAILS OF 1500 EMPLOYEES WORKING IN AN ORGANISATION ON VARIOUS SCALES
Break-up of 1500 Employees Across the Scales

Break-up of 800 Male Employees Across the Scales


How many females are working on Scale II?

A ___ bisector is a line that divides the line segment into two equal halves and forms a right angle with the line segment

I am not able to understand prbablity and how to take out sample space .

A man travelled two-fifth of his journey by train, one-third by bus, one-fourth by car and the remaining $3km$ on foot. What is the length of his total journey?

Solve:

[[5×{(−3)×(−4)}]÷{27 + (−14−3)}][[3×{(−4)×(−5)}]÷{27+(−13−4)}]
+[{27×(−2)}÷(−3−3)] + [{27×(−2)}÷(−3−3)]
+[{(−3)×(−3)×5}÷(−3)]]

Question 5(vi)
Write the following equation in statement form:
3p + 4 = 25

Question 100 (v)

Express the following property with variables x, y and z.

Distributive property of multiplication over addition

The area of a room is $65\frac{1}{4}{m}^2$.If its breadth is $5\frac{7}{16}m$, what is its length?

The measurements in the given figure are in cm.


What is its area?

Question 13

Out of the four options, only one is correct. Write the correct answer.

$123x^{2}y-138x^{2}y$ is a like term of

$\left(a\right)10xy$
$\left(b\right)-15xy$
$\left(c\right)-15x{y}^2$
$\left(d\right)10x^{2}y$

Question 67 (f)

Find the value of the given polynomial at m = 1, n = -1 and p = 2

$m^2{n}^2+n^2{p}^2+p^2{m}^2$

In which of the following images counting of items/things is difficult?

In the given triangle,

Question 13

Fill in the blanks to make the statement true

(a) 1 m = ______ cm

(b) 1 sq cm = ______ cm$\times$1 cm

(c) 1 sq m = 1 m$\times$______ m = 100 cm $\times$ _________ cm

(d) 1 sq m = ______ sq cm

6x+4 = 8x+12

Integers are not closed under:

Rani poured 7/3 ml of curd in one glass and added 2/3 ml of water in it. The total quantity of mixture is?

The ratio between two numbers is 13 : 7 . If the sum of these two numbers is 40. What is the product of the numbers

Solve: $\frac{1}{3}$- ($\frac{5}{6}$ x $\frac{9}{18}$)+$\frac{2}{9}$

If a farmer paid rupees 2025 as interest over 3 years at 2% per annum to a money lender how much loan had the farmer taken

Shubha and Shivani started a business. Shubha invested ₹15000 and Shivani invested ₹45000.

They made a profit of ₹ 6600 and they divided it in the ratio of their investments. How much did Shubha get?

Factorize : $25x^2-9$

$5x-2y=7andxy=2$, find the value of $(5x+2y{)}^2$

Observe the shapes 1, 2, 3 and 4 in the figure. Which of the following statements is not correct?

Arrange the numbers in ascending order $\frac{5}{4},\frac{7}{3},\frac{5}{8},\frac{9}{5},\frac{9}{2}.$

Andy’s friend Sandy also got his land restructured. In his case, the land was rectangular before. Keeping the same base and same parallels, Land Grabbers restructured it into a parallelogram shaped land as shown in the figure. Sandy spent Rs. 400 on fencing and Rs. 500 on ploughing earlier. If AE is twice of AD, find the extra amount he has to spent now on fencing and ploughing respectively in terms of ‘x’ and ‘y’.

For the given figure complete the congruence statement:

$△BCA\cong$ $△$ ___________

Question 63

Fill in the blanks to make the statement true.

If $\Delta PQR$ and $\Delta XYZ$ are congruent under the correspondence $QPR\leftrightarrow XYZ$, then
(i) $\angle R=$ ___ (ii) QR = ___
(iii) $\angle P=$ ___ (iv) QP = ___
(v) $\angle Q=$ ___ (v) RP = ___

Edge of the following cube is

The set builder form of " A is the set of the whole numbers which are divisible by 5 and are less than 7" is

Question 104 (i)

Follow the directions and correct the given incorrect equation, written in Roman numerals:

Remove two of these matchsticks to make a valid equation:
IX - VI = V

The angle subtended by blue portion at the center of following pie-chart is.

A company has 123 offices, and each office has 268 employees. They are all invited to a party. Estimate the number of people who will attend the party if the number of employees in each office is rounded off to the nearest hundreds and number of offices to the nearest tens.