The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

Given that,

The length of the base of an isosceles triangle is x.

The length of a leg is 3x-4.

Perimeter, P = 97

An isosceles triangle has one base. The perimeter of a triangle is given by :

97=x+3x-4+3x-4

97 = 7x-8

97+8=7x

105 = 7x

x = 15

So, the value of x is 15.


Related Questions

Find the missing length of the triangle. 12 in 85 in.​

Answers

Answer:

From Pythagoras Theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides

C² = 12² + 35²

C= √12²+35²

C= 37in

Answer:

side c = 37 in.

Step-by-step explanation:

side c is the hypotenuse as it is opposite of right angle (90 degree ).

12 and 35 are the two other smaller sides of the given right angles triangle.

using pythagoras theorem to find side c

a^2 + b^2 = c^2

12^2 + 35^2 = c^2

144 + 1225 = c^2

1369 = c^2

[tex]\sqrt{1369}[/tex] = c

37 = c

pls help me..... the question is in the attachment.... thank you


Answers

Answer:

I added some attachments as well, I hoped I helped.

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Answers

Answer:

for the triangle on top on side is 8 one side is 4 so if we use the theorem

64+16=80

a=9

so

Side a = 19.8242

Side b = 17.66349

Side c = 9

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 63° = 1.09956 rad = 7/20π

Angle ∠C = 27° = 0.47124 rad = 3/20π

Area = 79.48573

Perimeter p = 46.4877

Semiperimeter s = 23.24385

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE

Answers

Complete Question:

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?

*The circle is attached below in the attachment

Answer:

BD = 11

Step-by-step explanation:

Given:

AE = x

EC = x + 12

BE = x + 2

ED = x + 5

Required:

Length of BD

Solution:

First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem

x(x + 5) + 2(x + 5) = x(x + 12)

x² + 5x + 2x + 10 = x² + 12x

Add like terms

x² + 7x + 10 = x² + 12x

Subtract x² from each side

x² + 7x + 10 - x² = x² + 12x - x²

7x + 10 = 12x

10 = 12x - 7x

10 = 5x

10/5 = 5x/5

2 = x

x = 2

Next, find BD:

BD = BE + ED

BD = x + 2 + x + 5

Add like terms

BD = 2x + 7

Plug in the value of x

BD = 2(2) + 7

BD = 4 + 7

BD = 11

Answer:

What is BD?

11  units

Step-by-step explanation:

Will your career more important than anything else

Answers

well, sometimes, it will. You know, cause nowadays everything in this world, even the people, will judge you based on how you doing on your life. Or maybe some people will only care about you because of your occupation and what do you have. But, for me, what is the meaning of life if you didn’t experience any happiness, love, or anything in your life? For example, it is your career more important than your family? Is it important than your happiness in your life? So, for me, career is not so important. I mean, yes with it you can earn money. But sometimes, money can’t bring happiness to us.
Honestly, it depends on what you most value in life, wether it be your career, love life, family, etc.

Since I’m nice I’ll give 2 lucky people some points!!!

Answers

Answer:

hi

Step-by-step explanation:

thank u

Answer:

is that allowed or not......

Có bao nhiêu giá trị nguyên của tham số m để phương trình 4^x +4^-x = 2^ (x+1) – 2^(1-x) +4-m có nghiệm trên đoạn [0;1]

Answers

Answer:

m  = 2

m = 2,75

Step-by-step explanation:

Được-

Phương trình =

4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m

Thay các giá trị của x = 0 vào phương trình đã cho ta được

4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m

1 +1 = 2 -2 + 4-m

m = 4-2 = 2

Thay các giá trị của x = 1 vào phương trình đã cho ta được

4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m

4 + 0,25 = 4 - 1 + 4 -m

m = 7-4,25 = 2,75

Multiply the polynomials.
(x + 2)(2x2 + 9x+8)
A. 2x3 + 13x2 – 26x+ 16
B. 16x3 + 72x2 + 46x - 16
C. 2x3 + 17x + 22x+16
D. 2x3 + 13x2 + 26x+ 16

Answers

Answer:

2x^3 + 13x^2 + 26x + 16

Step-by-step explanation:

x(2x^2 + 9x + 8) +2(2x^2 + 9x + 8)

2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16

2x^3 + 13x^2 + 26x + 16

HOPE IT'S HELPFUL
The answer should be A, no parentheses just multiply within the numbers

help with this please?....:)

Answers

Answer:

200. 96 cm^2

Step-by-step explanation:

If the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex] = 3.14,

radius = 8 cm (r = diameter/2   ----> r = 16/2)

= [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]= 3.14 (8^{2})\\= 200. 96 cm^{2}[/tex]

Question in attachment. Will give brainliest if correct.

Answers

Answer:

x= 50

Step-by-step explanation:

The angles of a triangle adds up to 180

First we can see R, S, O is equal to S, R, O

We can also see that the angles are equal to N, O, S

So R, S, O and S, R, O are both 65 degrees

Add 65 + 65

= 130

180 - 130 = 50

x= 50

what’s the difference between the area of the larger circle and the area of the smaller circle? in pi

Answers

Answer:

105 pi m^2

Step-by-step explanation:

radius squared - radius squared =

(16+3)^2 - 16^2 =

19^2 - 16^2 =

361-256= 105

Which of the following rational functions is graphed below?
O A. F(X) =
x) =
B. F(x)
1
C. F(x)
(x - 3)2

Answers

Answer:

a

Step-by-step explanation:

3(2x+4)=2 when 0 is on horizontal

The equation of the graph of the function is f ( x ) = 1/( x - 3 )²

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/( x - 3 )²

The y-intercept of the function is at when x = 0

So , when x = 0

y = 1/9

Hence , the function is f ( x ) = 1/( x - 3 )² and the graph is plotted

To learn more about graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies

Answers

No Betty would have sold at least 5 cookies.

We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.

It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.

pls no time help me fast no links ill report u and no brainlist

Answers

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?

Answers

5:6 is the answer and that still isn’t enough words maybe if I type what I am saying it will be 20 characters

Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true

Answers

Answer:

C. Only statements #1 & #3 are true.

Step-by-step explanation:

A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).

All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.

Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.

draw a graph for the equation above

Answers

Answer:

look at image given

Step-by-step explanation:

im assuming the -3 is seperate :p

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

X=57.

Step-by-step explanation:

Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.

WORKING TOGETHER,MARIO AND MALF CAN PAINT A WALL IN 4 HOURS. WORKING ALONE, MARIO CAN DO THE SAME JOB IN 12 HOURS. HOW LONG IT WILL TAKE MALF TO DO THE JOB ALONE​

Answers

Answer:

it take 6 hours to do the job its the answer

Simon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

9. Here are two expressions with a missing number: Expression 1: • Expression 2: + 4 Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)​

Answers

Use sr(3)

All the other options are rational 32/10, 2/3, 23/99
If you multiply two fractions you always get a fraction.
If you add 4 to a fraction it is still rational.

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?

Answers

Answer:

52.24 km

Step-by-step explanation:

Given that,

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.

d = ks²

Where

k is constant

When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?

So,

[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]

So, the new distance is 52.24 km.

Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. This sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?

Answers

Answer:

Tn = 75+25n

Step-by-step explanation:

The balance are in arithmetic progression

$100, $125, $150...

The formula for calculating the nth term of the sequence is expressed as;

Tn = a+(n-1)d

a =100

d = 125 - 100 = 150 - 125

d = 25

n is the number of terms

Substitute

Tn = 100+(n-1)*25

Tn = 100 + 25n-25

Tn = 75+25n

Hence the nth term of the sequence is Tn = 75+25n

đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0

Answers

ahiaiaoaoaoaooosoohjfjfjdkd

Classify the following angles

Answers

--Answer--

1. acute

2. right

3. acute

4. obtuse

5. straight

--Explanation--

Acute angle = Greater than 0 °, Less than 90°

Right angle = 90°

Obtuse angle  = Greater than 90°, less than 180°

Straight angle = 180°

Answer:

A) Acute   B) Right     C) Obtuse      D) Obtuse      E) Flat/Straight

Step-by-step explanation:

Acute angles are angles less than 90°

Right angles are angles that are 90°

Obtuse angles are angles that are over than 90°

Flat/Straight angles are 180°

La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:

Answers

Answer:

El coseno del ángulo esta dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Step-by-step explanation:

Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Donde:

CA es el cateto adyacenteH es la hipotenusa del triángulo

Espero te haya sido de ayuda!

Use the picture above to determine why the work below received a 2/3. (hint: there are 2 mistakes)

V = TTr2h

V = TT(32)10

V = TT(6)(10)



V = 60TT square feet

Answers

Answer:

3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60

What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → B

What is the slope of a line that is perpendicular to the line y = –1/4 x + 5

Answers

Answer:

4

Step-by-step explanation:

To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it's 3 flip it to 1/3) and change the sign ( so if it's positive change it to negative vise versa )

The equation we are given has a slope of -1/4

So flip the fraction ( we would get -4)

And change the sign ( we would get 4)

So the slope of a line that is perpendicular to y = -1/4x + 5 is 4

Answer:

slope = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{4} }[/tex] = 4

Mhanifa or Anyone answer this

Answers

Answer:

$8.99

Step-by-step explanation:

14.38 ÷ 2 = 7.19

7.19 + 1.8 = 8.99

Hope this helps

This is the answer for the question and working
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