What is the solution to the equation? x = 1 x = 6 x = 12 x = 24

Answer:<cgb and <dge

Step-by-step explanation:supplementary angles add up to 180 and <cgb+<dge +<cgd=180 because they are angles on a straight line

Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

Answer:

Add each given variable

(6x + 10) + (x + 2) + x = 8x + 12

The sum of all the angles equals 180ᴼ

8x + 12 = 180

Subtract 12 from both sides

8x = 168

Divide by 8 on both sides

x = 21

Now plug in 21 for each x to find the measure of each angle.

(6[21] + 10) = 126 + 10 = 136ᴼ

(21 + 2) = 23ᴼ

x = 21ᴼ

Answer:

1:3

Step-by-step explanation:

Please study the diagram briefly to understand the concept.

First, we determine the height of the isosceles trapezoid using Pythagoras theorem.

[tex]4^2=2^2+h^2\\h^2=16-4\\h^2=12\\h=\sqrt{12}\\ h=2\sqrt{3}$ units[/tex]

The two parallel sides of the trapezoid are 8 Inits and 4 units respectively.

Area of a trapezoid [tex]=\dfrac12 (a+b)h[/tex]

Area of the trapezoid

[tex]=\dfrac12 (8+4)*2\sqrt{3}\\=12\sqrt{3}$ Square Units[/tex]

For an equilateral triangle of side length s.

Area  [tex]=\dfrac{\sqrt{3}}{4}s^2[/tex]

Side Length of the smaller triangle, s= 4 Units

Therefore:

Area of the smaller triangle

[tex]=\dfrac{\sqrt{3}}{4}*4^2\\=4\sqrt{3}$ Square units[/tex]

Therefore, the ratio of the area of the smaller triangle to the area of the trapezoid

[tex]=4\sqrt{3}:12\sqrt{3}\\$Divide both sides by 4\sqrt{3}\\=1:3[/tex]

Answer:

721.54

Step-by-step explanation:

We have to convert the 2% given in the statement into a z-score, as follows:

P (X> x) = 2% = 0.02, P (Z> z) = 0.02

thus find z such that:

P (Z <z) = 1 - P (Z> z)

P (Z <z) = 1 - 0.02

P (Z <z) = 0.98

we look for what value of z corresponds to in the normal distribution table and it is 2.06

x = m + z * sd

m is mean and sd standard deviation, replacing:

x = 497 + 2.06 * 109

x = 721.54

721.54 would be the minimum score.

Answer:

d)    [tex]\frac{13 - 5x}{2x -8}[/tex]    

Step-by-step explanation:

Explanation:-

Given expression

                               [tex]\frac{\frac{3}{x-2}-5 }{2-\frac{4}{x-2} }[/tex]

we will do L.C.M  both numerator term and denominator term

                     ⇒    [tex]\frac{\frac{3-5(x-2)}{x-2} }{\frac{2(x-2)-4}{x-2} }[/tex]

on simplification , we get

                ⇒    [tex]\frac{\frac{13-5x}{x-2} }{\frac{2x-8}{x-2} }[/tex]

cancellation 'x-2'

we will get

          [tex]\frac{13 - 5x}{2x -8}[/tex]    

Answer:

(  3x -2)

Step-by-step explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

(   -1 ) (   -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

(  2x -1 ) (   -2)

That means the other factor of 6x^2 is 3x  ( 2x*3x)

(  2x -1 ) (  3x -2)

Answer:

3x-2

Step-by-step explanation:

Factors are:

--------------

Answer:

The answer is "120".

Step-by-step explanation:

The assuming numbers:

[tex]0, 1,2,3,4,5,6,7,8,9[/tex]

The  odd number are=[tex]1,3,5,7,9[/tex]

Now we have four places:

In the first place we have 5 option

In second place we have 4 option

In third place, we have 3 option

In fourth place, we have 2 option

So, the value is [tex]5 \times 4 \times 3\times 2 \times 1= 120[/tex]

So, we have 120 different codes, which form the code.

Answer and Step-by-step explanation:

According to the situation, The probabilities for each one is given below:

As there are 20 families

So the probabilities for each one is

For four families have one child is

[tex]= \frac{4}{20}\\\\ = \frac{1}{5}[/tex]

For eight families have two children is

[tex]= \frac{8}{20}\\\\ = \frac{2}{5}[/tex]

For five families have three children is

[tex]= \frac{5}{20}\\\\ = \frac{1}{4}[/tex]

For two families have four children is

[tex]= \frac{2}{20}\\\\ = \frac{1}{10}[/tex]

For one family have five children is

[tex]= \frac{1}{20}[/tex]

Answer:

a) B

b) C

Step-by-step explanation:

With 8 equal sections, there is 1/8 chance to land on each section.

There are 2 1's, so the chance to land on a one is 2/8 represented by B.

There are 4 2's, so the chance to land on a two is 4/8 represented by C.

Answer:

Step-by-step explanation:

y = {9, 10, 11}

x = {2, 3, 4 , 5}

Maximum value of x +  y = 11 + 5 = 16

Minimum value of  y -x = 9 - 2 = 7

[tex]\frac{x+y}{y-x}=\frac{16}{7}[/tex]

Answer:

[tex]\boxed{Area = 3.14 ft^2}[/tex]

Step-by-step explanation:

Radius = r = 2 feet

Angle = θ = π/2 (In radians) = 1.57 radians

Area of Sector = [tex]\frac{1}{2} r^2 \theta[/tex]

Area = [tex]\frac{1}{2} (4)(1.57)[/tex]

Area = 2 * 1.57

Area = 3.14 ft²

Answer:

               [tex]\bold{2\pi\ ft^2\approx6,28\ ft^2}[/tex]

Step-by-step explanation:

360°:2 = 180° so the area of a sector bounded by a 180° arc is a half of area of a circle of the same radius.

[tex]A=\frac12\pi R^2=\frac12\pi\cdot2^2=\frac12\pi\cdot4=2\pi\ ft^2\approx2\cdot3,14=6,28\ ft^2[/tex]

Answer:

Option C.

Step-by-step explanation:

From the given figure it is clear that

[tex]PQ=5,QR=7,PS=4,ST=x[/tex]

So,

[tex]PR=PQ+QP=5+7=12[/tex]

[tex]PT=PS+ST=4+x[/tex]

Using Intersecting Secants Theorem, we get

[tex]PQ\times PR=PS\times PT[/tex]

[tex]5\times 12=4\times (4+x)[/tex]

[tex]60=16+4x[/tex]

[tex]60-16+4x[/tex]

[tex]44=4x[/tex]

Divide both sides by 4.

[tex]11=x[/tex]

[tex]PT=4+x=4+11=15[/tex]

Since, x = 11; PR = 12; PT = 15, therefore the correct option is C.

Answer:

[tex] x = 5.1 yd [/tex]

Step-by-step Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

[tex] tan(25) = \frac{opposite}{adjacent} [/tex]

[tex] tan(25) = \frac{x}{11} [/tex]

Multiply both sides by 11 to solve for x

[tex] 11*tan(25) = x [/tex]

[tex] 5.129 = x [/tex]

[tex] x = 5.1 yd [/tex] (to the nearest tenth)

Answer:

bonds=22000

stock=4000

Step-by-step explanation:

let b  for bonds , and s for stock

b+s=26000

0.05 b +0.08 s=1420

to solve (by elimination)

1- multiply first equation with 0.05 to eliminate b

0.05 b+0.05 s=1300

0.05b+0.08s=1420

subtract two equations:

0.05b+0.05s-0.05b-0.08s=1300-1420

-0.03s=-120

s=120/0.03=4000

b+s=26000

b=26000-4000=22000

check:0.05(22000)+0.08(4000)=1420

Answer:

$22000

Step-by-step explanation:

x*0.05+(26000-x)*0.08= 1420

0.05x - 0.08x + 2080= 1420

0.03x=2080 -1420

0.03x= 660

x= 660/0.03

x= 22000

$22000 = 5% bonds

$4000 = 8% stocks

Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

Answer:

20.2m

Step-by-step explanation:

the shadow becomes the base and the hypotenuse becomes 37,it forms a right angled triangle and using the Pythagoras theorem you take 37squared minus 31 squared,the answer you get you squareroot to get the answer

Answer:A

Step-by-step explanation:

Answer:

only the inverse is a function

Answer:

A = E and B = D

Step-by-step explanation:

AAS means triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. In this, A corresponds to E and B to D. BC and CD are congruent. Therefore the triangles are congruent

Answer:  "possible" rational roots: ±1/5, ±3, ±1

Step-by-step explanation:  Take plus or minus the factors of the constant divided by the factors of the leading coefficient.

In this case, the constant is 3, so the factors are 1 and 3, and the leading coefficient is 5, so the factors are 5 and 1.

1/5, 3/5, 1/1 and 3/1  are possibilities, simplify and attach the ± to each.

The possible rational roots of the polynomial function f(x) = 5x² - 3x + 3 are; ±1/5, ±3/5, ±1, ±3

Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.

It is a solution to an equation.

Given that a polynomial f(x) = 5x²-3x+3, we need to find the rational roots of the polynomial,

f(x) = 5x²-3x+3

The rational root theorem states that for a polynomial to have any rational roots, then the roots must be of the form;

± (Factors of coefficient of constant term/factors of the coefficient of the highest power)

Now, the coefficient of the highest power is 5 and the constant term is 3.

Factors of 5 = 1, 5

Factors of 3 = 1, 3

Thus, the possible rational roots are; ±1/5, ±3/5, ±1, ±3

Learn more about roots click;

https://brainly.com/question/16932620

#SPJ7

Answer:

Bottom= 3 Left side= 2.15 Right side= 1,775

Step-by-step explanation:

Divide every side by 4

Answer:

divide every side by 4 uwu

Answer:

u=25.6

Step-by-step explanation:

6.4=u/4

by cross multiplication

6.4×4=u

25.6=u

i hope this will help you :)

Answer:

6.4 = u/4

multiply 4 on each side

6.4 x 4 = 26.4

u/4 x 4 = u

26.4 =u

u = 26.4

Hope this helps

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

Employee A worked 455 hours this month. He should work 600 hours next month to earn $7,800.

▹ Step-by-Step Explanation

Part A

$5,915 ÷ $13 = 455 hours

Part B

$7,800 ÷ $13 = 600 hours

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Translate 3 units to the left

Step-by-step explanation:

Answer:

Need more info

Step-by-step explanation:

Answer:

46 is the second smallest number of the sequence

Step-by-step explanation:

Let's write the sum of 4 consecutive numbers (starting at the value x) as:

x + (x + 1) + (x + 2) + (x + 3) = 186

Now group all the unknowns:

x + x + x + x + 1 + 2 +3 = 186

4 x + 6 = 186

4 x = 186 - 6

4 x = 180

x = 180/4

x = 45

Then the sequence was: 45, 46, 47, 48

and the second smallest number of the sequence s: 46

Answer:

This is a geometric sequence and the common ratio is equal to ½.

Step-by-step explanation:

For a sequence to be termed to be in arithmetic progression, the difference between consecutive terms are the same and constant.

On the other hand, a sequence is termed to be in geometric progression if the ratio of a term to the term before it is the same as the ratio between the next term to it.

Let's consider the sequence given: 12, 6, 3 . . .

=>Let's try to find the common difference if it would be constant: 6-12 (-6) ≠ 3-6 (-3)

The sequence is not arithmetic.

=>Let's also try to find the ratio of the sequence to see if it is constant:

6/12 (½) = 3/6 (½)

Therefore we can conclude the sequence is geometric because the common ratio (½) is constant.

This is a geometric sequence and the common ratio is equal to ½.

Answer:

320793

Step-by-step explanation:

320793 / 11 = 29163

Answer:

x= -2

Step-by-step explanation:

Answer: x=-2

Step-by-step explanation: first subtract 2x from both sides leaving you with x-2=-4

Then add 2 to both sides, leaving you with x=-2

Answer:

Choice 3

Step-by-step explanation:

A(-5,-1) and B(4, 1)

Distance AB is calculated as x²+y², where x= 4-(-5)=9 and y= 1-(-1)=2

Point P is at 1/4 of distance from point A, so its coordinates will be at 1/4 of full distance from A to B in term of both coordinates:

So P= (-11/4, -1/2) and choice 3