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2 years ago

The question is in the picture

Mathematics

2 answers:

Fed [463]2 years ago

8 0

Answer:

Step-by-step explanation:

For the first question

The missing term is 30

because 5 is being added to every term .

So last known term is 25 and by the sequence we can see that 5 is being added to the last term to make the next one

25+5=30

For the second: Pay attention

Let's say you want to find the nth term of the sequence. (Eg. what will be the 50th number of the series just like 10 is the 1st term of the sequence)

For nth term the formula is :

An= d.n+a1-d

where d is the difference '5' in this case

n is the nth term

a1 is the first term (10 in your case) and again d is the difference of number which is 5

an=5n+5 (by substituting values)

now for finding 100th term put 100 in place of n

a100=5(100)+5

a100=505

100th term is 505

SSSSS [86.1K]2 years ago

7 0

The 100th term would be 505.

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In the diagram below, TUVW is a rectangle. Prove triangle TZW is congruent to triangle UZV.

otez555 [7]

Answer:

By S.S.S. congruence property; ΔTZW ≅ ΔVZU

Step-by-step explanation:

Given:

TUVW is a rectangle.

To Prove : TZW ≅ UZV

Proof:

Since TUVW is a rectangle, and we know that opposite side of a rectangle is equal.

So,

$TW = UV \ \ .\ .\ .\ .\ 1$

And also TV and WU are the diagonals of the rectangle.

And the diagonals of rectangle bisects each other.

Therefore;

$TZ=ZV.........\ 2\\\\WZ=ZU..........\ 3$

Now In ΔTZW and ΔVZU

TW = UV (from 1)

TZ = ZV (from 2)

WZ = ZU (from 3)

So, by S.S.S. congruence property;

ΔTZW ≅ ΔVZU

Hence proved.

8 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

Hmmmm can y’all give me this answer for this please

uranmaximum [27]

Answer:

M is the slope of the equation

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

G a survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related

Naily [24]

Answer:

The expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

Step-by-step explanation:

The data provided is:

Opinion

Front Footage For Undecided Against Total

Under 45 feet 12 4 4 20

45-120 feet 35 5 30 70

Over 120 feet 3 2 5 10

Total 50 11 39 100

The formula to compute the expected frequency is:

$E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}$

Compute the expected frequency for people against the project and who have over 120 feet of property foot frontage as follows:

$E(X)=\frac{\text{Row Total}\times \text{Column Total}}{\text{TOTAL}}$

$E(5)=\frac{10\times 39}{100}=\frac{39}{10}=3.9$

Thus, the expected frequency for people against the project and who have over 120 feet of property foot frontage is 3.9.

6 0

2 years ago

The scoop Shop sells many types of nuts. Lily asks for this mix:

Licemer1 [7]

Answer:

1/12 = 24/12 = 2

pea: 12/24

haz: 4/24

alm: 8/24

cash: 18/24

pec: 6/24

how to do it: find a common denominator, or write it how and scan it with photo math and it will show you how to work it out!

hope this helped or was right, thanks <3

4 0

3 years ago