The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X

Answers

Answer 1

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

         

Answer 2
Answer: x = 6

Step-by-step Explanation:

The legs are both the same so 2(5x - 3) accounts for both. Then add x and simplify.

10x - 6 + x

11x - 6

Set equal to 60

11x - 6 = 60

11x = 66

x = 6

Related Questions

f(x) =2x+1 g(x)= x^2 -7 find (f+g)(x)

need help like asap​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's find (f + g)(x) :

[tex]2x + 1 + {x}^{2} - 7[/tex]

[tex] {x}^{2} + 2x - 6[/tex]

Answer:

[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]

(f+g)(x) = x²+2x-6 is the right answer.

Determine the value of y​

Answers

Answer:

C

Step-by-step explanation:

Because [tex]y^{\circ}[/tex] and [tex]134^{\circ}[/tex] both lie on a straight line, they sum to [tex]180^{\circ}[/tex].

So, [tex]y+134=180[/tex].

We can subtract [tex]134[/tex] from both sides of the equation to get [tex]y=46[/tex].

So,  the answer is [tex]\boxed{C}[/tex] and we're done!

Which system of linear inequalities is graphed?​

Answers

Answer:y>2x+1 and x+y<-2

Step-by-step explanation: Plot those two lines and they should appear the same as the graph, with the area to the left of (-1,-1) and between the lines greyed out.

if grace and claire parents each invested 7,600 into college saving account when the girls were born how much money will each girl have for college when she turns 18

Answers

Answer:

7,600

Step-by-step explanation:

both parents invest 7,600.

7,600x2= 15,200

there are 2 girls so divide 15,200 by 2 and u get 7,600

3,5,8,11,17-35odd,47,54,70,78,80,81 pls help

Answers

Answer:

54, 78, 70, 47, 80, 81,

Step-by-step explanation:

What is the slope of the line represented by the points in the table shown below?



x

-4

-1

5

9

y

17

8

-10

-22





m=⅓


m=-3


m=3


m=-⅓

Answers

Answer:  Slope of the line formed by the data is -3.  

m=-3    for    y=mx+b.

Step-by-step explanation:  The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line.  I'll pick 2 points:  (-4,17) and (9,-22).  Any two points will work, if it is a straight line.  For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y.  x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.

The rise(y) over the run(x) for these points is thus (-39/13) = -3

The slope is -3

help me pls help me pls

Answers

Answer: what is this?

Graph the image of the given segment under a dilation with scale factor - 1/3 and center of dilation (0, 0)

Answers

Answer:

its hard to see

Step-by-step explanation:

Find the total cost of a $32 Uber ride with a 15% tip.

Answers

Answer:

$36.8

Step-by-step explanation:

i just calculated it!

32*15% = 4.8

32+4.8= 36.8

find the value of x PLEASE HELP i’m so lost

Answers

x = -5 + 5√3

Step-by-step explanation:

A = ℓ × w

50 = (x + 10) × x

50 = x² + 10x

x² + 10x - 50 = 0

a = 1b = 10c = -50

x = [-b ± √(b² - 4ac)] / 2a

x = [-10 ± √(10² - 4(1)(-50))] / 2(1)

x = [-10 ± √(100 - (-200))]/2

x = [-10 ± √300]/2

x = [-10 ± 10√3]/2

x = [-5 ± 5√3]

because x is a unit of length, it is positive

x = -5 + 5√3

Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.

Answers

Answer:

81

Step-by-step explanation:

f o g = f(g(x))

Step 1. Solve for g(-3)

-3 - 6 = -9

Step 2. Solve for f(-9)

-9^2 = 81

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

x =

Answers

Answer:

2/3 My guy

Step-by-step explanation:

Answer:

The completeness property for points in the plane tells us two things

Exactly one point in the plane is named given the numbers of the ordered pair and

Exactly one ordered pair of numbers names a given point in the plane.

To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

4) Ashley's Bikes rents bikes for S13 plus $5

per hour. Mary paid $38 to rent a bike.

For how many

hours did she rent the bike?

Answers

Answer:

6 hours.

Step-by-step explanation:

1st hour - 13

2nd hour - add 5 = 18

3rd hour - 23

4th hour - 28

5th hour - 33

6th hour - 38 (which is the end total)

Identify the initial condition in the table.

Answers

Answer:

i had the answer but lost it ill look into more for u

Step-by-step explanation:

The given table can be represented as :

y = -x

And here, initial condition is 0

Mary has a dance class every 2nd day and painting class every 3rd day. On which of the day will she have both the classes?

Answers

9514 1404 393

Answer:

  every 6th day

Step-by-step explanation:

Mary will have a painting class on the same day as every 3rd dance class. That's the same day as every 2nd painting class. Mary has the two classes together on every 6th day.

  [tex]\texttt{- 1 2 3 4 5 6 1 2 3 4 5 6}\\\texttt{d - d - d - d - d - d - d}\\\texttt{p - - p - - p - - p - - p}[/tex]

Place the decimal point in the quotient to make the division sentence true 8.94 : 0.016 = 55875
PLEASE I NEED HELP BAD​

Answers

Answer:

558.75

Step-by-step explanation:

In AIJK, k = 26 cm, ZI=135º and ZJ=11°. Find the length of i, to the nearest
centimeter.

Answers

Answer:

•26 cm to S1

Step-by-step explanation:

I KNOW IT THAT ANSWER

when you started your homework assignment, your friend already had 6 exercises done. You can do about 3 exercises per minute, whereas your friend can only do 2 exercises per minute. how many minutes will it take you to catch up to your friend.

Answers

Considering they're getting 2 more each wave, we can apply simple math to this.

6+2 and onwards,

0+3 and onwards until it surpasses the first value.

I calculated this, and it seems it takes around 6 minutes to catch up to the friend at 18 exercises.

It will take you 6 minutes to catch up to your friend.

Given that when you started your homework assignment, your friend already had 6 exercises done.

You can do about 3 exercises per minute, whereas your friend can only do 2 exercises per minute.

So, your friend is ahead by 6 exercises, and you can complete 3 exercises per minute while your friend can complete 2 exercises per minute.

This means you're gaining on your friend's lead at a rate of 3 - 2 = 1 exercise per minute.

To catch up to your friend's lead of 6 exercises, you'll need 6 minutes, because you'll be closing the gap by 1 exercise per minute.

So, it will take you 6 minutes to catch up to your friend.

Learn more about Unit rates click;

https://brainly.com/question/29180656

#SPJ3

Drag expressions to show the steps to create an equivalent expression using only positive exponents. Let g and h be two nonzero numbers. g^-3h

Answers

Equivalent expressions are expressions that have the same value.

The equivalent expression of [tex]g^{-3}h[/tex] is: [tex]\frac{h}{g^3}[/tex]

The expression is given as;

[tex]g^{-3}h[/tex]

Apply law of indices to change the exponents

[tex]g^{-3}h = \frac{1}{g^3}h[/tex]

Express as products

[tex]g^{-3}h = \frac{1}{g^3} \times h[/tex]

Rewrite as

[tex]g^{-3}h = \frac{h}{g^3}[/tex]

Hence, the equivalent expression is: [tex]\frac{h}{g^3}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/24242989

Tim wants to prove that BA≅BC by proving △BXA≅△BXC
. He knows that: BX is the perpendicular bisector of segment AC, and therefore
any point on BX is equidistanct from point A and point C.
Why is
△BXA≅△BXC?

B.
Side-Side-Side (SSS) Theorem

C.
Angle-Side-Angle (ASA) Theorem

D.
Angle-Angle-Side (AAS) Theorem

E.
Hypotenuse Leg Theorem

Answers

Answer:

hh

Step-by-step explanation:

can someone tell me the answer i kneed help no scams

Answers

yh is the goat and the most likely part in a world of a home and the family will not have much of the

1
2 kg de plátanos cuesta $400 ¿ Cuál será el valor de 5,5 kg de esa fruta?

Answers

Answer:

Gfd 600

Step-by-step explanation:

Sovle for x : -2×+5<7

Answers

Answer:

x>−1

Step-by-step explanation:

Dan rolls a fair dice 24 times.
How many times would Dan expect to roll a number greater than 1?

Answers

96 times because each time he rolls the odds are 5/6

Autumn takes 39 minutes to walk to work.
After getting a new job, the time it takes
Autumn to walk to work has decreased by
35%. How many minutes does it take
Autumn to walk to work now?

Answers

We are required to calculate how many minutes does it take Autumn to walk to work now

The number of minutes does it take Autumn to walk to work now is 25.35 minutes

Time taken to walk to work = 39 minutes

Percentage decrease = 35%

Decrease in time = 35% of 39 minutes

= 35/100 × 39 minutes

= 0.35 × 39 minutes

= 13.65 minutes

Number of minutes does it take Autumn to walk to work now

= 39 minutes - 13.65 minutes

= 25.35 minutes

Therefore, the number of minutes does it take Autumn to walk to work now is 25.35 minutes

Read more:

https://brainly.com/question/2236179

7(5+2)=7×5+7×2 which law is that?

Answers

[tex]\huge\text{Hey there!}}[/tex]

[tex]\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}[/tex]

[tex]\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark[/tex]

[tex]\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

​ −3/5−(−2/5)=
What is the sum to this problem hurry fast awnser plz

Answers

Solution:

[tex] \frac{ - 3}{5} - ( \frac{ - 2}{5} ) \\ = \frac{ -3 }{5} + \frac{2}{5} \\ = \frac{ - 3 + 2}{5} \\ = \frac{ - 1}{5} [/tex]

Answer:

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

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

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

[tex] - \frac{ 1}{5} [/tex]

I need help with this question ​

Answers

Answer:

ijjjjjjjhgd ghhhh gghh

1.2 1,4

PLEASE HELP LOOK AT IMAGE WILL GIVE BRAINLIEST​

Answers

I'm pretty sure it's the second one, anything to the Power of 0 (in this example p) is 1, and m to the -8th power simplifies to 1/m^8.

Hope this helps a little!

Answer:

IT IS THE SECOND ONEE

1/m8

Which equation represents a line with a slope of -1 that passes through (0, 4)?

Answers

Answer:

ajhbdlahv

Step-by-step explanation:

ajksl

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