The isosceles triangle shown has a base of 4 y + 2 and a perimeter of 6 y + 12 .  Which expression represents the length of 1 of the triangle's legs?

Answers

Answer 1

Answer:

The expression that represents the length of 1 of the triangle's legs is y + 5

Step-by-step explanation:

An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by

P = l + l + b

i.e P = 2l + b

From the question, P = 6y + 12 and b = 4y +2

∴ 6y + 12 = 2l + 4y + 2

6y - 4y + 12 - 2 = 2l

2y + 10 = 2l

∴ 2l = 2y + 10

Then,

l = (2y+10)/2

l = y + 5

Hence, the expression that represents the length of 1 of the triangle's legs is y + 5  


Related Questions

What’s the lateral surface area

Answers

Answer: 175 ft

Step-by-step explanation: Lateral surface area of a cube with dimensions a, b, c is 2ab+2ac+2bc, and then when you plug in the values and solve you get 175!

Help Please!!!!! (Look at picture

Answers

438, correct me if wrong but this is what it said
438! Aka person above me is correct and I trust PhotoMath!

Which group of numbers is listed from least to greatest?

-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9

Answers

Answer:

-2, -1, 0, 4, 9

Step-by-step explanation:

Least to greatest: -2, -1, 0, 4, 9

Solve the inequality -5(x - 1) > -40, and graph the solution on a number line.

Answers

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

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please help asap
which inequality is represented by this graph

Answers

Answer:

W is either less than or( less than or equal to)

Step-by-step explanation:

I do not know what shows if something is equal to so the best answer I can think if is less than -2 as it looks like W is everything lower or equal to -2

write the ratios sin m, cos m, and tan m. give the exact value and four decimal approximation. Please help.

Answers

given,
hypotenuse = 23
adjacent = 4sqrt19
opposite = 15
then, using sohcahtoa,
sin m = 15/23 =0.652
cos m = 4sqrt19/23 = 0.758
tan m = 4sqrt19/15 = 1.162

Trigonometric functions are the ratio of different sides of a triangle. The ratios sin∠m, cos∠m, and Tan∠m are 0.758, 0.6522, and 1.1624.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As it is given that the base of the triangle for the ∠m is Mk(15 units), the perpendicular is KL(4√19), and the hypotenuse is 23. Now, the trigonometric ratios can be written as,

Sine

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm Sin (\angle m)=\dfrac{KL}{ML}\\\\\\\rm Sin (\angle m)=\dfrac{4\sqrt{19}}{23}\\\\\\\rm Sin (\angle m)=0.758069\approx 0.758[/tex]

Cosine

[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\\\rm Cos(\angle m)=\dfrac{MK}{ML}\\\\\\\rm Cos(\angle m)=\dfrac{15}{23}\\\\\\\rm Cos (\angle m)=0.65217\approx 0.6522[/tex]

Tangent

[tex]\rm Tan\theta=\dfrac{Perpendicular}{Base}\\\\\\\rm Tan(\angle m)=\dfrac{KL}{MK}\\\\\\\rm Tan(\angle m)=\dfrac{4\sqrt{19}}{15}\\\\\\\rm Tan(\angle m)=1.16237\approx 1.1624[/tex]

Hence, the ratios sin m, cos m, and tan m are 0.758, 0.6522, and 1.1624.

Learn more about Trigonometric functions:

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please help me thanks!

Answers

Answer:

2^9 (2 to the 9th power) = 512

Step-by-step explanation:

Since 2 is multiplied by itself 9 times, it can be represented as 2^9, which evaluates to 512.

Hopefully this helps - let me know if you have any questions!

What is the solution to the system of
equations graphed below?

a.(-13,-20)
b.(-15,-22)
c.(-1,-8)
d.(-10,-15)

Answers

Answer:

(-13,-20)

Step-by-step explanation:

We know that the graph with x-intercept at (7,0) and y-intercept at (0,-7) is y = x-7

and the second equation is y = 2x+6

Therefore, we have two equations.

[tex] \large{ \begin{cases} y = x - 7 \\ y = 2x + 6 \end{cases}}[/tex]

Because both equations are equal (y=y)

x-7=2x+6

-7-6=2x-x

-13=x

We know the value of x, but not y-value. We substitute the value of x to get the value of y.

Substitute in any given equations which I will be substituting in the first equation.

y=-13-7

y = -20

Therefore when x = -13, y = -20

In coordinate form, we can write as (-13,-20).

If you have any questions, feel free to ask.

what is the price of a $600 bike 15% off

Answers

Answer: You will pay $510 for a item with original price of $600 when discounted 15%.

Prince Ivan rides Grey Wolf at a constant speed from King's Castle to the Magic Apple Garden in 5 hours. On their return trip to King's Castle, Grey Wolf runs at that original constant speed for the first 36 km. Then he runs the rest of the way 3 km/h faster. What was Grey Wolf's original speed if the return trip took 15 minutes less than the trip from King's Castle to the Magic Apple Garden?

Answers

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.

Find the standard form of:

x^2+3y^2+4x=5

-9x^2+25y^2-54x-50y-281=0

Answers

Answer:

2 + 3 2+ 4 = 5 − 9 2 +2 5 2 − 5 4 − 5 0 − 2 8 1 = 0

Step-by-step explanation:

There really isn't an easier way to put that, sorry :/

Hope this helped, and please mark as brainliest <3

Divide and answer in simplest form: 5 ÷35

Answers

Step-by-step explanation:

Reduce 5/35 to lowest terms

The simplest form of 535 is 17.

Answer:

1/7

Step-by-step explanation:

divide both sides by 5

hhheeelllppp.........​

Answers

B, the explanation is right there,

Need help with this question thank you!

Answers

Answer:

You asked this question like 4 times

Step-by-step explanation:

The answer is

(5,-1)

(-4,0)

Which graphed function is described by the given intervals? Increasing on (−∞, 0) Decreasing on (0, ∞)
A) A
B) B
C) C
D) D

Answers

The best answer to go with is b

Branliest!!!! 100 points! solve for x in the image below:
also here's the equation: 3x+9= 90 degrees

Answers

Answer:

Hi! The answer to your question is x = 27

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

x=27

Step-by-step explanation:

3x+9=90

subtract 9 from both sides

3x=90-9

3x=81

divide by 3

x= 27

checking

3x27 +9= 90

81+9=90

I hope this makes sense

Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight

Answers

Answer:

The equation is 157+28=185.

157+ 28= 185

I think that’s right

Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?

Answers

Answer:

Simple Interest (I) =  Principle * Rate * Time

 

so I = PRT

 

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

 

so

Assuming its per year after 4month

 

I = (47300)(0.03)(0.333333)

 

I = 472.999527

 

I = $473

 

Now we'd add the interest(I) to the Principle

 

$47300 + $473 = $47773.00

 

 

Assuming it is per month, after 4months

 

I = PRT

 

I = (47300)(0.03)(4)

 

I = $5676.00

 

Now add the interest to the principle

 

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

Ben opened a savings
account with $75,
Every week he added
$20 more. Write on
equation to model this
situation.

Answers

Answer:

The equation would be y = 75 + 20x

Find the value of x. Round to the
nearest tenth.
12
Х
2597
X = ?
Enter

Answers

Answer:

x ≈ 5.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin25° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex] ( multiply both sides by 12 )

12 × sin25° = x , that is

x≈ 5.1 ( to the nearest tenth )

What single or double digit numbers make a SUM of 40?

Please help, I will award brainliest, rate, and thank. Please include all possible answers!!!

No links, no fake answers, you will be reported.

Answers

The sum numbers are 1, 2, 4, 5, 8, 10, 20, 40

the bar graph shows the approximate average rainfall for different cities in Texas compare the total inches of rainfall to the average annual rainfall in san Antonio ?​

Answers

Answer:

I don't know

Step-by-step explanation:

I don't know

Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___

Answers

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

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A group of 5 friends sold lemonade. If they sold each cup for $0.50 on Friday and for $0.45 on each other day of the week, how much money did each friend make if they split the money evenly?

Day Number of cups

Monday 15
Tuesday 8
Wednesday 5
Thursday 11
Friday 23

Answers

Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

62.00

Seth is using a large shoe box to store his baseball cards. The length of the box is 12 inches, and the height is 6 inches. If the volume of Seth's box is 288 cubic inches, how wide is the box?

Answers

Step-by-step explanation: *First, decide which volume formula to use:     v = lwh

*Next, substitute in for what you do know (leave variable for unknown):  288 = 12 · w · 6

*Then simplify the side of the equation with the variable: 288 = 72 · w

*Now divide each side of the equation by 72 to solve for w:

288 ÷ 72 = w

4 in = w

PLEASE HELP! WILL GIVE BRAINLIEST!!!!

Answers

Answer:

I can't read it

Step-by-step explanation:

the perimeter of an isosceles triangle is 45. find the length of the third side if each of the equal sides is 14cm long

Answers

Answer:

17cm

Step-by-step explanation:

The two equal sides are 14cm long so 45 - 14 - 14 = 17

PLEASEEEEEEEEEE HELPPPPPPPPPPPPP

Answers

Answer:

i dont kno bestie.. :/

Step-by-step explanation:

A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step
— 5х + бу = 41
7x - 6y = -43

Answers

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

Write and solve an equation to find the missing dimension of the figure.

Answers

Answer:

15.5769230769

Step-by-step explanation:

8×13 = 104

1620÷104 = 15.5769230769

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