The length of the base of an isosceles triangle is x. The length of a leg is 4x - 7. The perimeter of the triangle is 31. Find x.

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

Answer:

I think it is 80. But I am also not sure because this question is not briefly described.

Answer:

80

Step-by-step explanation:

got it right on edge

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Answer:

Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]

All you need to do is plug in those numbers.

Like this: V= [tex]\pi *1^{2}*8[/tex]

which is = 25.13 [tex]cm^{3}[/tex]

Ta-da!! lol. Have a great day!

Answer:

Yes, he can swim 100 lengths in under 45 minutes.

Step-by-step explanation:

First we divide 100 by 5

100 ÷ 5 = 20

Now we can multiply this by 130 seconds

Now we have 2600 seconds

Since 1 minute is 60 seconds we divide 2600 by 60 seconds

2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.

This is all assuming his rate is constant.

Micheal takes 43.333 minutes to swim 100 lengths.

Length is a measurement or extent of something from one end to another end.

The SI unit of length is meter.

Given that,

To cover 5 lengths, time taken by Micheal =  130 seconds,

Therefore,

Time taken by Micheal to cover 1 length = 130/5 = 26 seconds

Time to cover 100 length = 26×100=2600 seconds

1 minute = 60 seconds

100 length is covered = 2600×1/60 minute

                                    = 43.333 minute

So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.

To know more about Length on :

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Answer:

y = 3/4x - 5/4

Step-by-step explanation:

6x=8y+10

Well you must first get your equation set up into the form called "Slope intercept."

6x=8y+10

Add 8y on both of your sides because your y is suppose to be alone.

8y + 6x = 10

Subtract 6x on both sides since it is in fact the opposite of addition.

8y = 6x + 10

Now, you will divide by 8 on both sides. When doing this your y will be alone.

y= 6/8x + 10/8

Note: You can leave it like this but you want to probably simplify.

y = 3/4x + 5/2

      or

y = 3/4x - 5/4

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

250=15x+10

Step-by-step explanation:

250=y

10=b

15 is how much you are paying consantly

The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.

If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,

y=mx+c

250=15x+10

Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

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Answer:

1155.0

Step-by-step explanation:

Answer:

The value of y is 46.715

Step-by-step explanation:

4y-10+3.14 = 180

4y = 180 + 10 - 3.14

4y = 186.86

4y ÷ 4 = 186.86 ÷ 4

y = 46.715

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Answer:

24°

Step-by-step explanation:

We are given that m∠EFG is a right angle, and that m∠EFH = 66°

m∠EFH + m∠HFG = m∠EFG

Substitute values and solve.

66 + m∠HFG = 90

m∠HFG = 24°

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(2*x+5)=0

STEP1:

Equation of a Straight Line

1.1 Solve y-2x-5 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-2x-5 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 5/1 = 5.00000

Calculate the X-Intercept :

When y = 0 the value of x is 5/-2 Our line therefore "cuts" the x axis at x=-2.50000

x-intercept = 5/-2 = -2.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 9.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 9.000 - 5.000 = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

Geometric figure: Straight Line

Answer:

34

Step-by-step explanation:

f(-3) = -3(-3) +7

f(-3) = 16

g(3) = -7(3) +3

g(3)= -18

16 -(-18) = 34

Answer:

34

Step-by-step explanation:

f(x) = -3x + 7

f(-3) = -3(-3) + 7

= 9 + 7 (two negatives make a positive)

= 16

g(x) = -7x + 3

g(3) = -7(3) + 3

= -21 + 3

= -18

16 - (-18)

16 + 18 (two negatives make a positive

= 34

Hope this helps!

Answer:

Depends on other factors, although I'm not certain, so to speak.

Step-by-step explanation:

We don't know the probability of Ashley getting a speeding ticket when he is not speeding.  [It happens].

Otherwise, event B is dependent on event A.  Speeding must occur to initiate event B.

Answer:

8

Step-by-step explanation:

1/2(4)-(-6)                  BODMAS method

2-(-6)

2+6

8

Answer:

45 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , that is

exterior angle + 172° = 180° ( subtract 172° from both sides )

exterior angle = 8°

The sum of the exterior angles of a polygon = 360°

To find the number of sides n , divide 360° by 8°

n = 360° ÷ 8° = 45

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides

Answer:

Step-by-step explanation:

69

Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

Answer:

Step-by-step explanation:

100/120 = 15

15/100, which means that 18/120 as a percentage is 15%.

hope this helps :)

Answer:

Option 4: y = 5x - 1

Step-by-step explanation:

The slope, or rate of change, represents the ratio of the vertical change (in y) to the horizontal change (in x) of points along the line. Thus, the slope is a means of measuring the steepness of a given line.

Generally speaking, slopes with higher values tend to have steeper lines.

In comparing the slopes of the given options:

Option 1: slope = -2

Option 2: [tex]\LARGE\mathsf{slope = -\frac {5}{4}}[/tex] or 1.25

Option 3: slope = 1

Option 4: slope = 5

Option 4 has the highest slope of 5. Therefore, the graph of y = 5x - 1 has the steepest line.  

Attached is the graphed equations to prove that the graph of the equation in Option 4 has the steepest line.    

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

Answer:

fraction form

x= 2 + ln(30)/ln(7)

decimal form

x= 3.74786969

Step-by-step explanation:

What I like to call the logarithmic equation solver.

Bring it down turn it around.

First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30

Then change the constants from on another so then it would look like

㏒7(30)=x-2

solve for x

to solve do the log base finder equation ㏒(30)/ln(7)

and add 2

Answer:

(7, -1) maybe...

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

Answer:

They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

500 soda water, 100 batches, just a guess so sorry if im wrong

Step-by-step explanation:

Step-by-step explanation:

2x+y+5=0 is the required equation of the line