Triangle FGH is an equilateral triangle.FH=6x+1,FG=3x+10,and GH=9x-8

Two of the angles in a triangle have measures of 43 degrees and 48 degrees. What type of triangle is this? *



Right


Obtuse


Acute

1. What is the value of x in the above situation?

3. What is the value of GH?

Answer:

  2 1/3

Step-by-step explanation:

The value of the fraction that is an infinite sequence of 3s is 1/3. As more 3s are added to the fraction, it comes closer to 1/3.

The limit is 2 1/3.

Step-by-step explanation:

first add them all to gether then divide them by a - b and your answer would be -78 x 4y

Answer:

[tex]15^{n-1}[/tex]

Step-by-step explanation:

First , Let's find the common ratio of this sequence.

[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]

SO,

r = 5

Now let's use this formula to find the n th term

[tex]T_n = ar^{n-1}[/tex]

Here,

a = first term

r = common ratio

Let's find,

[tex]T_n = 3*5^{n-1}[/tex]

[tex]T_n =15^{n-1}[/tex]

Therefore,

the n th term is,

[tex]15^{n-1}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 5 , then

[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]

Answer:

Step-by-step explanation:

  [tex]\sqrt{x}-3=0\\\\\sqrt{x}=3\qquad\text{add 3 to both sides}\\\\\boxed{x=9}\qquad\text{square both sides}[/tex]

__

The expression ...

  [tex]\sqrt{|x|+1}[/tex]

is defined for all values of x. The expression makes sense for all real numbers.

_____

Additional comment

The expression in the second question makes sense for all numbers, real or complex. The value of |x| is never negative, so the value under the radical is always positive.

Answer:

3042

Step-by-step explanation:

1/2 * 81 * 81 * sin(112) = 3041.6266

The area of the triangular gable is 6083.25 ft².

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the area of a triangle with two sides a and b and angle C is,

(a×b×sinC).

Given, A painter is painting the gable end of a house which is a triangle with two sides of 81 feet that meet at a 112° angle.

∴ The area of the triangular gable is = (81×81×sin112°).

= (81)²sin112°.

= (81)²×0.928 ft².

= 6083.25 ft².

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Hey there!

[tex]\large\boxed{\mathsf{150 - (2 + x)^3}}[/tex]

[tex]\large\boxed{\mathsf{= 150 - (2 + \bold{2})^3}}[/tex]

[tex]\large\boxed{\mathsf{= 150 - \bf 4^3}}[/tex]

[tex]\large\boxed{\mathsf{= 150 - \bf 4 \times 4 \times 4}}[/tex]

[tex]\large\boxed{\mathsf{= 150 - \bf 16 \times 4 }}[/tex]

[tex]\large\boxed{\mathsf{= 150 - \bf 64}}[/tex]

[tex]\large\boxed{\mathsf{= \bf 86 }}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{86}}}}\huge\checkmark[/tex]

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

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

Answer:

16×-1/2, -1.25×6.4

Step-by-step explanation:

16×-0.5

=-8

-1.25×6.4

=-8

Answer:

huh??

Step-by-step explanation:

Answer: -2

Step-by-step explanation: I think I’m not sure

Answer:

-7

Step-by-step explanation:

The y-intercept is where the x value is 0.

Answer:

17+ 65=82

PLZZZZZZZ Brainliest

Answer:

17 + 65 = 82

Step-by-step explanation:

17 + 65 = 82

Answer:

slope is 0

Step-by-step explanation:

(-6,-7) and (-25, -7)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-7 - (-7) / (-25 - (-6))

Simplify the parentheses.

= (-7 + 7) / (-25 + 6)

= (0) / (-19)

Simplify the fraction.

= 0/-19

= 0

This is your slope.

This means your line is a horizontal line.

Please check the attached image for the steps.

Answer = 11/42 = 0.261

____

RainbowSalt2222 ☔

Answer:

4+6+ (10/15+3/15):10 13/15

Answer:

"O c. 17.156"

Step-by-step explanation:

    A is not a rational number because it cannot be written as a fraction [with two integers] or an integer (the square root of 15 is equal too 3.87298334...)

   B is not a rational number because it also goes on forever, just like A.

    C is a rational number because it does not go on forever.

    D is like A and B, it goes on forever.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

the desired equation is y = (-1/3)x + 6

Step-by-step explanation:

Let the given line be A:  y=3x+2

The slope of line A is m = 3.

The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A:  m = -(1/3).

The particular perpendicular line that passes through (3, 5) is then

5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.

Thus, the desired equation is y = (-1/3)x + 6

Answer:

x=28

Step-by-step explanation:

90-33=57

2x+1=57

2x=56

x=28

Answer:

erhujdrjdrj 3x24678q2578=1/235236125

Step-by-step explanation:

drjdfjdfj because 0,5 = 320000 x 1.5% = 17000 a year = 3000 (1=0.02)^x

Answer:

69 purple cookies!

Step-by-step explanation:

Hi how u doin ?

[tex]4x + 8 = 60[/tex]

Subtract both sides 8

[tex]4x + 8 - 8 = 60 - 8[/tex]

[tex]4x = 52[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{52}{4} \\ [/tex]

[tex]x = 13[/tex]

There u go ...

Don't have a good day , Have a great day ♡

The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is  (3, -1).

In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex centers of a triangle

Given

[tex](x_{1} ,y_{1})[/tex] = X(-3, 3)

[tex](x_{2},y_{2} )[/tex] = Y(6,-3)

m: n = 2:1

Section formula = [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n} )[/tex]

P(a, b) = [tex](\frac{2(6)+1(-3)}{2+1} ,\frac{2(-3)+1(3)}{2+1} )[/tex]

P(a, b) = [tex](\frac{12-3}{3},\frac{-6+3}{3} )[/tex]

P(a, b) = [tex](\frac{9}{3} ,\frac{-3}{3} )[/tex]

P(a, b) = (3, -1)

The point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides the segment in a 2:1 ratio is  (3, -1).

Find out more information about section formula here

brainly.com/question/10916187

#SPJ2

Answer:( 1.26 x 10 ^ 5 ) / ( 2.8 x 10 ^ 4 ) = 4.5 times bigger

Step-by-step explanation:

Answer:

y=1/2(x-6)-2

Step-by-step explanation:

y=m(x-h)+k

y=1/2(x-6)-2

Answer:

[tex]y=\frac{1}{2} x-5.[/tex]

Step-by-step explanation:

1) the form of the required line in slope-interception form is:

y=s*x+i, where s [slope] and i [intercept] are numbers;

2) according to the condition s=1/2, it means the required equation can be written as:

y=1/2x+i;

3) in order to calculate the value of 'i', it is needed to substitute (6;-2) into the written required equation:

-2=1/2 *6+i; ⇒ i=-5;

4) finally, if s=1/2 and i=-5, then the required equation is:

y=1/2 *x-5.

P.S. the suggested way is not the shortest one.

Answer:

y=-x-3

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6,3) and (-5,2)

There are 3 ways to write the equation of the line:

The most common way to write the equation of the line is in slope-intercept form, so let's do it that way.

First, we'll need to find the slope of the line

The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Although we already have 2 points, let's label their values in order to avoid confusion later:

[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]

Now substitute these values into the formula to find slope (m):

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{2-3}{-5--6}[/tex]

Simplify:

m=[tex]\frac{2-3}{-5+6}[/tex]

Add/subtract the numbers together:

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

Divide

m=-1

We can substitute this as m in y=mx+b:

y=-1x+b, or y=-x+b

We need to find b now

Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b

Taking (-6, 3) for example:

Substitute -6 as x and 3 as y

3=-1(-6)+b

Multiply

3=6+b

Subtract 6 from both sides

-3=b

Substitute -3 as b into the equation

y=-x-3

Hope this helps!

Answer:

$400

Step-by-step explanation:

If college costs $7,500 per year, and she's going to go for 4 years, then she needs to save 4 x $7,500  = $30,000 total.  From the table, she would need to deposit $400 per month in order to have $31,667 in time for college.

Answer: $200

Step-by-step explanation:

Because in the table the minimum number is in the month when she save $200.

Initial balance is $5000

Account in value in five years is $18,737

Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For a sum no greater than 10, we have that:

Hence, the number of desired outcomes is:

[tex]D = 10(2) + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 = 64[/tex]

The probability is:

[tex]p = \frac{D}{T} = \frac{64}{100} = 0.64[/tex]

0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.

A similar problem is given at https://brainly.com/question/25401798