The 3rd term of an arithinetic progression is-9
and the 7th term is -29. Find the 10th term of the
progression.​

Answer:

suppose: the age of the man now is x

the sum of the ages of his two sons now is y

(x, y > 0, x, y € N)

so the age of the man 10 years ago is x - 10

the sum of the ages of his 2 sons ten years ago is

y - 20

because now, The age of a man is twice the sum of the ages of his two sons => x = 2y

because Ten years ago, his age was five times

the sum of their ages

=> x - 10 = 5( y - 20)

<=> x - 10 = 5y - 100

<=> 2x - 20 = 10y - 200

<=> 2x = 2y.5 - 180

but x = 2y => 2x = 5x - 180

<=> 3x = 180

<=> x = 60

=> his present age is 60

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Answer:378

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

Answer:

jjjjjk

Step-by-step explanation:

Answer:

Its 6.5

Step-by-step explanation:

Answer:

[tex]m<LMJ = 86[/tex]

Step-by-step explanation:

1. Approach

First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.

2. Finding ([tex]x[/tex])

Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.

Using this knowledge, one can apply it by saying;

[tex]m<K + m<J + m<M + m<L = 360[/tex]

Substitution,

[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]

Combine like terms;

[tex]160 + 25x = 360[/tex]

Inverse operations;

[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]

3. Finding ([tex]m<LMJ[/tex])

Substitute back in to find the [tex]m<LMJ[/tex]

[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]

Answer:

m∠M = 86

Step-by-step explanation:

the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.

360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.

substitute the values of ∠L and ∠M to make the equation

14x -7 + 11x -2 = 191

combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191

now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:

25x -9 = 191          →      25x = 200    →      25x = 200    → x = 8

     +9     +9                                              /25     /25    

Now put the value of x into the equation for angle M like this:

11(8) -2 = M    and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86

The number of terms in the expression m/5+ 4 x 6  are three.

An expression is combination of variables, numbers and operators.

The given expression is m/5+ 4 x 6

m by five plus four multiplied with six

In the given expression plus divide and multiplication are the operators

m is the variable

m/5 is the first term

four is the second term

six is the third term

There are three terms in the expression.

Hence, the number of terms in the expression are three.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

$6.66 and $7.04

Step-by-step explanation:

I got it right

The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

From the central limit theorem:

σ(x) = σ/√n

The standard deviation σ = $1.25

The sample n = 180

σ(x) = 1.25/√180

σ(x) = 1.25/√1801

σ(x) = 0.0931

The lower limit = 6.85 - 0.0931 = 6.756 = 6.76

The upper limit = 6.85 - 0.0931 = 6.943 = 6.94

Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

Answer:

probably 145.15ft^2 but who really knows good luck

Step-by-step explanation:

we're gonna have to find the area of the square and circle and then subtract the square area to see the remaining shaded area's value. if the square has side of length 16 then we know it's area is 16ftx16ft=256ft^2. Now the area of the circle requires us to know its radius. we see the diagonal dashed line travels the diameter of the circle. you can use pythagoras theorem to find its length so sqrt(16^2+16^2)=22.63ft. but this is diameter and we want radius so 22.63/2=11.3ft. the formula for the area of a circle is pi*r^2 so pi*11.3^2=401.15ft^2. now we can say 401.15-256=145.15ft^2

Answer:

15 dollars off of 75 is better

Step-by-step explanation:

75 multiplied by 1.5 is only 11 dollars

Answer:

(-3, -5) This is my answer I hope it helps

Answer:

1549.5

Step-by-step explanation:

Hello There!

Heron's area formula is

[tex]A=\frac{(a)(b)sin(c)}{2}[/tex]

all we have to do is plug in the values

so

[tex]A=\frac{77*41sin79}{2} \\77*41=3157\\3157sin79=3098.997018\\\frac{3098.997018}{2} =1549.498509[/tex]

so the area of the triangle is 1549.498509

our final step is to round to the nearest hundredth

the answer would be 1549.5

Answer:

1610.289units²

Step-by-step explanation:

a=79

b=77

c=43

s=(79+77+43)/2=99.5

by using heron's formula

area of triangle=√{s(s-a)(s-b)(s-c)}

=√{99.5(99.5-79)(99.5-77)(99.5-43)} =1610.289units²

Answer:

24a + 3a

27a

we didn't multiply a since it is addition so it can not be a²

please give brainiest

Answer:

27a

Step-by-step explanation:

Just distribute. First multiply 4 times 6 which would be 24a. 24a+3a would then be 27a ;)

Answer:

B

Step-by-step explanation:

B

$5,136; approximately 24 months.

I got 100% on Edg.

Answer:

x = 18.64

Step-by-step explanation:

use tan:

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 46 = [tex]\frac{18}{x}[/tex]

tan of 46 is 1.0355

⇒ 1.0356 = [tex]\frac{18}{x}[/tex]

multiply 18 on both sides

⇒ 1.0355 x 18 = [tex]\frac{18}{x}[/tex] x 18

⇒ 18.64 = x

Answer:

2/3

Step-by-step explanation:

1/2 = 3/6

6 - 5 = 1

1 3/6 - 5/6 = 4/6

4/6 = 2/3

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Answer is -1.666

Step-by-step explanation:

6*1/2=3

5*5/6=4.1666

Answer:

hi how r u today my stranger

Answer:

D-Dipper/////

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

In Order to gain the mean you would follow the formula:

Total Sum of all Numbers added together / Amount of integers.

In this case, you have 5 numbers 1, 3 , 5 , 2 , x .

I know that the overall sum of all your integers added together must equal 20, as 20 / 5 = 4.

1 + 3 + 5 + 2 = 11.

Therefore x must be 9.

1 + 3 + 5 + 2 + 9 = 20

20 / 5 = 4.

Hope this helps and mark as brainilest if found useful.

Answer:

option B is your correct answer

Answer:it is C

Step-by-step explanation:

Answer:12.5

Step-by-step explanation:if its 2.5 for evry 2 units and the glass is 10 units you time and 2 * 5 is 10 and .5 * 5 is 2.5

Answer:

90 inches

Step-by-step explanation:

hope it may help u I am sure about the ans

if possible mark me brainlist

Answer:

The investors are: -3, -1 and 1

Step-by-step explanation:

Given

Three consecutive odd numbers

[tex]Sum = -3[/tex]

Required: Determine the odd numbers

Let the smallest be x. So, the other 2 are: x + 2 and x + 4.

The sum is then:

[tex]Sum = x + x + 2 + x +4[/tex]

[tex]Sum = 3x +6[/tex]

[tex]3x +6 = -3[/tex]

Collect Like Terms

[tex]3x = -3-6[/tex]

[tex]3x = -9[/tex]

[tex]x=-3[/tex]

The other two are:

[tex]x + 2 = -3 + 2 = -1[/tex]

[tex]x + 4 = -3 + 4 = 1[/tex]

Hence, the investors are: -3, -1 and 1

Answer:

C) supplementary angles

Step-by-step explanation:

C) supplementary angles

They add up to 180.

njjjwer:

jajajajaj

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

f(3) = 3(3)-4

f(3)= 9-4

f(3) = 5

g(2) = (2)

g(2) = 2

f(3)-g(2) = ?

(5) - (2) = ?

(5) - (2) = 3