The length of the base of an isosceles triangle is x. The length of a leg is 3x - 6. The perimeter of the triangle is 58. Find x.

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sided of the triangle.

In an isosceles triangle, there are two equal sides and  a base.

Perimeter = ( 3x - 6) + (3x - 6) + x

            58 = 7x - 12

            58 + 12 = 7x

                   70  = 7x

                    [tex]\frac{70}{7} = \frac{7x}{7}[/tex]

                    10 = x


Related Questions

Can somebody help me with this. Thank you.

Answers

Answer:

There wasn’t any question posted

Step-by-step explanation:

The question was not posted, therefore there is no logical way to help you with the question.

a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?

Answers

Answer: 57

Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.


Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.

Answers

Answer:

You haven't explained the  time for account A - we will assume 12 months or the answer is obvious:

for Acct(A) :   I = 12.5 = A1  * .04           A1 =  $312.50

for Acct(B)     I = 11.25 = A2 * .03 * 5/4 = 300

Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.

11.25 = .0375 * A2     A2 = 300

Account A will have the greater principal

6973x63 pls explain how u did it!

Answers

Answer:

4,39299

Step-by-step explanation:

I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.

What is the opposite of 3√ ?


13√

−3√

−32

Answers

Answer:

D or B

Step-by-step explanation:

solving systems of equations in three variables

Answers

Answer:

Option B: (x= -8, y=10, z=-6)

Step-by-step explanation:

2x + 4y + 3z = 6 ... eq.(1)

5x + 8y + 6z = 4 ... eq.(2)

4x + 5y + 2z = 6 ... eq.(3)

From eq.(1),

2x= 6 - 4y - 3z

x= (6-4y-3z)/2 ... eq.(4)

Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)

In eq.(2),

5[(6-4y-3z)/2] +8y +6z =4

Multiplying through by 2

5(6-4y-3z) + 16y + 12z = 8

30-20y-15z+16y+12z = 8

22= 4y + 3z ... eq(5)

In eq.(3),

4[(6-4y-3z)/2] +5y +2z = 6

2(6-4y-3z) +5y + 2z =6

12-8y-6z + 5y +2z = 6

6= 3y + 4z ... eq.(6)

Multiplying eq.(5) and eq.(6) by 3 & 4 respectively

66=12y + 9z ... eq(8)

24=12y + 16z ... eq(9)

Subtracting eq(8) from eq(9)

42= -7z

z= -42/7

z = -6

Putting z as -6 in eq.(5)

22= 4y + 3(-6)

22= 4y -18

4y = 40

y = 40/4

y = 10

Putting y as 10 and z as -6 in eq(4)

x = [6 - 4(10) - 3(-6)]/2

x = (6 - 40 - 18)/2

x = -16/2

x = -8

x= -8, y= 10 , z= -6

PLS HELP ME 86 points

Answers

Answer:is easy

Step-by-step explanation:

your answers are:

A. 76

B. 35

C. 48

D. 62

E. 77

F. 78

G. 87

H. 67

I. 32

J. 63

K. 72

L. 78

(0, 6) and (2, 96) in exponential function

Answers

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

if motorist drove a distance of 90km at constant speed for the first 40km and then drove 30 km/hr faster for the rest of the journey if the journey took him one hour, his average speed for the first 40 km is​

Answers

Answer:

Step-by-step explanation:

The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.

The whole journey took him 1hr.

Let S denotes the average speed (in km/hr) for the first 40 km.

Hence we get the following relation,

40/S + (90 - 40)/(S + 20) = 1

or 50/(S + 20) = 1 - 40/S = (S - 40)/S

or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0

or S = 80 (km/hr) [Ans]

[S cannot be negative value]

Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?

An apple pie uses ____ apples and an apple tart requires____apples.

Answers

Answer:

An apple pie uses 7 apples and an apple tart requires 4 apples

Step-by-step explanation:

Apple pie - p, apple tart - t

Set the system as follows:

p + 3t = 1910p + 10t  = 110

Solve by substitution, p = 19 - 3t:

10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4

Find the value of p:

p = 19 - 3*4 = 19 - 12 = 7

Apple pie be xApple tart be y

The equations are

x+3y=19--(1)10x+10y=110=>x+y=11---(2)

Subtracting both equations

[tex]\\ \sf\longmapsto 2y=8[/tex]

[tex]\\ \sf\longmapsto y=4[/tex]

Put in equation (2)

[tex]\\ \sf\longmapsto x+4=11[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The prices of items in a shop were reduced by 10% during reduction sales. if a costumer buys an electric fan at $810.00. What was the original price?​

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

[tex]x*0.9=810[/tex]

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]

We have checked our answer and gotten our answer of $900.

Cheers!

pls answer 4th and 5th question . i do not understand

Answers

Step-by-step explanation:

4) total length of the journey is

1st hr = 74km 224m = 74224m

2nd hr = 74km 224m = 74224m

3rd hr = 58km 56m = 58056m

4th hr = 62km 8m = 62008 m

total distance (adding all) = 268512m = 268km 512m .

5) total weight = 22kg 200g = 22200g

mangoes weight = 14kg 750g = 14750g

apples weight = 5kg 80g = 5080g

total weight - fruits weight

(22200-14750-5080)g

= 2370g

= 2kg 370g.

hope this helps you.

Find the perimeter.simplify your answer.

Answers

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z

simplify 6(x+3-2) (4-x)

Answers

The answer is -6^2-6x+120

solve pls brainliest

Answers

Answer:

0.2% as a decimal is 0.002, 3.71 as a percentage is 371%

The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?

Answers

Answer:

d.

took the test

Step-by-step explanation:

In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat

Answers

Answer:

2 minutes

Step-by-step explanation:

700/10 = 70

1 minute = 70 times

140/70 = 2 minutes

Answer:

2 minutes

Step-by-step explanation:

The heart beats 70 times per minute so 70+70=140.

Boris buys a car for $23,000. The value of this car reduces by 8% each year. Find the number of complete years it takes for the value of the car to fall below $11,500.

Answers

Answer:

2 years

Step-by-step explanation:

casue if you multilpy 2 x 11,500 you get 23,000

What is 0.375 as a whole percent?

Answers

Answer:

0.375 is 37.5 % of 1

Step-by-step explanation:

Write the equation of the line from the graph.​

Answers

Answer: y = 4x + 2

Step-by-step explanation:

A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.

In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).

slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

        = (2 - (-2)) / (0 - (-1))

        = (2 + 2) / (0 + 1)

        = 4 / 1

        = 4

y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.

Plug both slope and y-intercept in, we get the equation:

            y = 4x + 2

Answer: y = 4x + 2

Step-by-step explanation:

NEED HELP NOW thanks

Answers

Answer:

13 uvugugugugycycycycycycy

Step-by-step explanation:

cycle yvy

Step-by-step explanation:

it's somehow confusing because there's no coordinates for line k

a(5+b) HELPPPP btw use distribitive

Answers

Answer:

a(5+b)

5a+ab

Step-by-step explanation:

Answer:

5a + ab

Step-by-step explanation:

a(5 + b)

Times a by 5 and by b

5a + ab

Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3

Please and thanks! (I'm horrible at my math)

Answers

Answer:

1.) 38.2

2.) -62.8

4.) -38.2

Is this relation a function? Justify your answer. a 10 av DOO 4 3 - NA 1 2 3 4 5 6 7 8 9 10 A. Yes, because every x- and y value is positive. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same x-value have different y values. D. No, because two points with the same y-value have different x- values.​

Answers

Answer:

The answer is C

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x = 21

Step-by-step explanation:

The angles are supplementary

therefor

(3x + 2) + (5x + 10) = 180

Combine like terms

8x + 12 = 180

subtract 12 from both sides

8x = 168

Divide both sides by 8

x = 21

Answer:

x = 21

Step-by-step explanation:

The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.

The 2 adjacent angles then lie on a straight line and sum to 180° , then

5x + 10 + 3x + 2 = 180

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

Draw a square and its diagonals. Guess the measures of these angles.

Answers

Answer:

Each angle measures 45° with diagonals

Step-by-step explanation:

A book of 20 stamps costs $10.20. What is the cost of one postage stamp? A stamp costs cents.

Answers

Answer:

1 stamp = $0.51

Step-by-step explanation:

20 stamps = $10.20

=> 1 stamp = 10.20/20

=> 1 stamp = $0.51

Hoped this helped.

Solve for the variable in the following proportion.

1/4 is to 1 1/4 as 2 is to b
B =

Can someone give an explanation?

Answers

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

Which of the following equations represents a quadratic relation?

Question 1 options:

2x+y=3


y=2x2+1


y=3x+1


y=2x3

Answers

Answer:

y=2x^2+1

Step-by-step explanation:

a quadratic equation has a x^2 term

Which component is missing from the researcher’s process?


A.


B.


C.


D.

Answers

Answer:

It is B I believe, if not it's you're fault for not putting the choices...

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