Simplify the ezpression: 9-2-2/+ (-16)

Find the 110th term for the following sequence 4, 9, 14, 19, 24,..

Vinil7 [7]

Answer:

549

Step-by-step explanation:

Given :-

A sequence 4 , 9 , 14 , ...

And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,

Using formula :-

$:\implies$ T_n = a + ( n -1)d

$:\implies$ T_n = 4 + (110-1)5

$:\implies$ T_110 = 4 + 109*5

$:\implies$ T_110 = 4 + 545

$:\implies$ T_110 = 549 .

Hence the 110 th term is 549 .

3 0

3 years ago

The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?Shown working out pl

8_murik_8 [283]

Let numbers be x and y

ATQ

x+y=49---(1)

x-y=9---(2)

Adding both

$\\ \sf\longmapsto 2x=58$

$\\ \sf\longmapsto x=\dfrac{58}{2}$

$\\ \sf\longmapsto x=29$

Now putting value in eq(2)

$\\ \sf\longmapsto x-y=9$

$\\ \sf\longmapsto 29-9=y$

$\\ \sf\longmapsto y=20$

7 0

3 years ago

Please help me with acellus

Bezzdna [24]

Answer:

66

Step-by-step explanation:

angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.

The sum of the triangles angles equal 180

180-56-58=66 which is the value of angle 2

5 0

2 years ago

Read 2 more answers

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that

Gekata [30.6K]

Complete Question

In triangle ABC: AC=10 , AB=5., Angle C = 30 degrees.

In Triangle DEF: ED= 7.5 , DF=15, Angle F =30 degrees , Angle E = 90 degrees.

Answer:

A, D and E

Step-by-step explanation:

The diagram is drawn and attached below.

Triangle ABC is similar to Triangle DEF. (Option E)

Writing it backwards:

Triangle CBA is similar to Triangle FED. (Option A)

Also,

Triangle BAC is similar to EDF. (Option D).

Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.

5 0

3 years ago

1/2 - 3/4 equals what

n200080 [17]

1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is 2 x 2 = 4

2. Make the denominators the same as the LCD

 $\frac{1 x 2}{2 x 2} - \frac{3}{4}$

3. Simplify. Denominators are now the same.

 $\frac{2}{4} - \frac{3}{4}$

4. Join the denominators

$\frac{2-3}{4}$

5. Simplify

 $-\frac{1}{4}$

Done! :) Decimal Form: -0.25

5 0

3 years ago