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3 years ago

Please answer in full process question

Mathematics

1 answer:

nata0808 [166]3 years ago

3 0

Answer:

The Measure of angle 1 is 68

The Measure of angle 2 is 112

The Measure of angle 3 is 68

The Measure of angle 4 is 112

Step-by-step explanation:

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

3 years ago

Jill, Meg, and Beth are sisters. Jill is 4 years younger than Meg. Enter an algebraic expression based on this situation. Let m

Murljashka [212]

Lets say

Jill=J

Meg=m

Beth=b

Jill is 4 years younger than meg so j+4=m

This is because if you add 4 to Jill's age, her age is going to be Megs age

Hope this helps and a brainliest would be appreciated

4 0

3 years ago

A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone

Nesterboy [21]

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

$P(n, p) = n! / (n - p)!$

So we have:

$P(10, 2) = 10! / (10 - 2)!$

$P(10, 2) = 10! / 8!$

$P(10, 2) = 10*9 = 90$

So there are 90 different ways of choosing a president and a vice-president.

7 0

3 years ago

13. Solve 32x+3 = 243 for x.

Alika [10]

The Answer should be 7.5
If you would like me to elaborate, let me know

7 0

3 years ago

Read 2 more answers

What are the answers to these

coldgirl [10]

I now how to do this, but I need a clearer picture. lol

5 0

3 years ago