Find the area and perimeter.



Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.

12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10

Find The Area And Perimeter.Hint: The Height Of A Non-right Triangle Is The Length Of The Segment Of

Answers

Answer 1

Answer:

Area = 6x + 36

Perimeter = 3x + 10

Step-by-step explanation:

Sides of the triangle:  12 ; (x - 7)  & (2x + 5)

Perimeter of the triangle = sum of all the sides

      = 12 + x - 7 + 2x + 5

      = 2x + x + 12 - 7 + 5     {Combine like terms}

      = 3x  + 10

Area of triangle:

Base = 12  & height = h = x +6

[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]

= 6 *(x + 6)       {Use distributive property}

= 6*x + 6*6

= 6x + 36


Related Questions

A population of bacteria contains 150 bacteria in generation 1 and triples in
population every generation. This sequence represents the number of
bacteria for the first few generations:
150, 450,1350, ...
What is the explicit formula for the number of bacteria in generation n?

Answers

Answer: bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)

Step-by-step explanation:

It looks like geometrical sequence, each next generation is three times greater than previous one. So the r of this sequence is 3.

The first generation has 150 representatives, so b1=150

The formula of geometrical sequence is bn=b1*r^(n-1)

(in our case bn is a quantity of bacteria in generation n)

so bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)

3x - 8 = -2 find the value of x-6

Answers

Answer:

The answer is = -4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6 ÷3

x = 2

for x - 6

2 - 6 = -4

-28 = 2x + 8 - 5x
solve for x.
PLEASE

Answers

Hi ;-)

[tex]-28=2x+8-5x\\\\2x+8-5x=-28\\\\2x-5x=-28-8\\\\-3x=-36 \ \ /:(-3)\\\\\huge\boxed{x=12}[/tex]

Answer:

x=12

Step-by-step explanation:

-28=2x+8-5x

-28=-3x+8

Add 3x on both sides:

3x-28=-3x+8+3x

3x-28=8

Add 28 on both sides:

3x-28+28=8+28

3x=36

Divide 3 on both sides:

3x/3=36/3

x=12

i need help!!!! what does x equal?

Answers

Answer:

17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

We can find the missing angle inside the triangle by doing 180 - 94 = 86.

Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.

60 + 86 + 2x = 180

146 + 2x = 180

Subtract 146 from both sides

2x = 34

Divide by 2 to isolate x

x = 17

Visual Pantom 2
What would the 10th case look like?
• How many cirdes would be in the 10th case?
• How many cirdes would be in the 100th case? What would it look like?
• How many cirdes would be in the zero case? • What would it look like?
• Can you model the pattern with an expression? ​

Answers

The answer is B I think

Please helpppppppppppp

Answers

Answer:

B. -9/11

Step-by-step explanation:

(f/g)(-4) = f(-4) / g(-4)

To find f(-4), we plug in -4 everywhere there is an x

f(-4) = 2(-4) - 1 = -8 - 1 = -9

Same idea for g(-4):

4(-4)^2 + 14(-4) + 3

4*16 - 56 + 3 = 11

So (f/g)(-4) = f(-4) / g(-4) =

-9/11

PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
The difference of Jose's age and 21 is 58
Use the variable j to represent Jose's age.

Answers

Answer:

j - 21 = 58

Step-by-step explanation:

happy to help if you have any others i can help you

Answer:

j - 21 = 58

Step-by-step explanation:

Find the coordinates of the midpoint

Answers

Answer:

(2,2)

Step-by-step explanation:

(5+-1/2,8+-4/2)

(-2,2)

Could you please solve this problem? Thank you so much.​

Answers

Step-by-step explanation:

the answer is in the image above

if a = 3i - 4j, b = 2i - 5j and c = λi + μj
where λ and μ are scalar quantities, find the λ and μ such that λc = 2a + 3b

Answers

Answer:

hi,

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}a&=&3*\vec{i}-4\vec{j}\\b&=&2*\vec{i}-5\vec{j}\\c&=&\lambda*\vec{i}+\mu*\vec{j}\\\end{array}\right.\\\\\\\lambda*c=2a+3b\\=2*(3*\vec{i}-4\vec{j})+3*(2*\vec{i}-5\vec{j})\\=12*\vec{i}-23\vec{j}\\=\lambda*(\lambda*\vec{i}+\mu*\vec{j})\\\\\\\left\{\begin{array}{ccc}\lambda^2&=&12\\\lambda*\mu&=&-23\end{array}\right.\\\\\\\left\{\begin{array}{ccc}\lambda&=&2\sqrt{3}\\\mu&=&\dfrac{-23*\sqrt{3} }{6} \\\end{array}\right.\\[/tex]

A(-2,3)
Triangle ABC has vertices at A(-2,3), B(-3,6), and
C(2,-1) Is triangle ABC a night triangle? If so, which
angle is the night angle?
O No, the triangle has no right angles.
O Yes, the right angle is angle A
O Yes, the right angle is angle B
O Yes, the right angle is angle C
VA
C (2-1)
B (-3,-6)

Answers

second choice i’m prolly wrong

14 +3n = 8n - 3(n - 4)

Answers

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n


Mr. Jones took a survey of college students and found that 60 out of 64 students
are liberal arts majors. If a college has 7505 students, what is the expected
number of students who are liberal arts majors?

Answers

use the fraction 60/64= liberal art majors and convert into a percentage which is 93.75%
find 93.75% of 7505 and that’s ur answer
the answer is approximately 7035 students

please help!!! i cant figure it out

Answers

Step-by-step explanation:

Hi there!

Given;

f(x) = 17x + 9

h(x) = 4x

To find: f(x)-h(x)

f(x)-h(x)= 17x + 9 - 4x

= 13x + 9

Therefore, f(x)-h(x) = 13x + 9.

Hope it helps!

Shelly charges$10 per hour for her babysitting services. Last month Shelly babysat for 15 hours. This month she babysat for n hours.

a. Write an expression using parentheses to describe how much money she made.

b. Given that n= 12, evualte your expression using distributive property.​

Answers

Answer:

10n+(10 x 15)

or

(10 x n)+150

either way it would be 270

please somebody can help me

alguien me puede ayudar plis

Answers

Answer:

8) her hair was 8 inches long

i need help ;^; please​

Answers

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Divide. Write your answer in simplest form. −8/9÷(−8/9)=

Answers

Answer:

[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]

I hope I helped you^_^

What is greatest common factor of 54ab and 54ab to the power of 2

Answers

Answer:

54ab

Step-by-step explanation:

the only two factors of 54ab^2 and 54ab is 1 and 54ab and the greatest of that would be 54ab.

Please help me with this problem

Answers

[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]

Answer:

Lies between 3&4

See THE IMAGE FOR SOLUTION

4. what are two other ways to name plane v

Answers

Answer:

Plane ANM and Plane XNM.

Step-by-step explanation:

I'll give brainliest!! I put this up nearly an hour ago and got no answers

Answers

Answer:

The integers are

1st: n

2nd: n + 1

3rd: n + 2

The words in the problem statement translate into

2(n + 1) = 3(n + 2) + 6

Solve for n.

2n + 2 = 3n + 12

n = -10

n + 1 = -9

n + 2 = -8

Step-by-step explanation:

please help it is midpoint

Answers

(15,9)(1,-9)

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{15+1}{2},\dfrac{9-9}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=\left(\dfrac{16}{2},\dfrac{0}{2}\right)[/tex]

[tex]\\ \rm\hookrightarrow (x,y)=(8,0)[/tex]

Answer:

[tex]mid \: point \: for \: x = \frac{x1 + x2}{2} \\ = \frac{15 + 1}{2} = \frac{16}{2} = 8 \\ mid \: point \: for \: y = \frac{y1 + y2}{2} \\ = \frac{ - 9 + 9}{2} \\ = \frac{0}{2} \\ = 0then \: (x \: y) = (8 \: 0) \\ thank \: you[/tex]

92 divied by 20,884 long division

Answers

Answer:

brainliest is appreciated

Pringle's variety pack 18 cups for $6.48 cost per cup

Answers

Answer:

0.36

Step-by-step explanation:

Which of the following is most likely the next step in the series?
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

If you look at the number of dots in each circle, it is increased by 1 every picture so if we have 4 in the third circle, then we will have 5 in the fourth picture. Option A is the only option that contains 5 dots.

Best of Luck!

Find the x-intercept and y-intercept of the line.
4x+5y= -20

Answers

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

f(4) =

If g(x) = 2, x =

Answers

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it

help me with my homework

Answers

Answer:

a because I dont know why but some one told me it was this

Answer: A. There are three terms

Concept:

In an algebraic expression, there are several specific terms:

Constant: the individual number that has no variable with it, or in east word, it is isolated.Variable: any unknown value, which is usually presented by alphabets.Coefficients: the numbers that are bounded with a variable, usually in front of a variable.Terms: the number of individuals present in the expression, which is constants and [variable + coefficients].Like terms: terms that have the same variables and powers.

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

a. There are three terms. [tex]\boxed{FALSE}[/tex]

- 14b

- -7

- 8b

- b

There are in total four individuals, which means there are four terms.

b. There is one constant term. [tex]\boxed{TRUE}[/tex]

- 14b is a [variable + coefficient]

- -7 is a [constant]

- 8b is a [variable + coefficient]

- b is a [variable]

Therefore, there is one constant term.

c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]

- 14b →→→ 14 is the [coefficient]

- -7 →→→ is a [constant]

- 8b →→→ 8 is the [coefficient]

- b →→→ 1 is the [coefficient]

Therefore, 14, 8, and 1 are coefficients.

d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]

- 14b →→→ b is the [variable]

- -7 →→→ is a [constant]

- 8b →→→ b is the [variable]

- b →→→ b is the [variable]

Since 14b, 8b, and b share the common variable, there are three like terms.

Hope this helps!! :)

Please let me know if you have any questions

Can someone show me how to factor this please?

Answers

Answer:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]

Factor:

[tex]\displaystyle (2u+1)(u+1) = 0[/tex]

By the Zero Product Property:

[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]

Solve for each case:

[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]

Back-substitute:

[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

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