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?

Answers

Answer 1

Answer:

Acute triangle

x = 3

GH = 19

Step-by-step explanation:

Triangle FGH Is An Equilateral Triangle.FH=6x+1,FG=3x+10,and GH=9x-8Two Of The Angles In A Triangle Have

Related Questions

Find the limit: .3,2.33,2.333,2.3333

Answers

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.

Which number is a rational number? OA √15 OB. 2.6457513110... O c. 17.156 OD. 3√85​

Answers

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


Given that line a is parallel to line b, find the values of x and y in the diagram.

Answers

Step-by-step explanation:

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

find the value for x in the triangle!

Answers

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 ♡

Henry is building an in-ground pool at his house. He is doing most of the work for himself to save money. He rents a small backhoe for 95.50$ a day. If his total bill comes to 286.50$, for how many days does he rent the backhoe?

Answers

Correct he rented the backhoe for 3 days! $286.50 divided by $95.50 = 3

evaluate 150-(2+x)^3 when x=2

Answers

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]

Please help me with this homework

Answers

answers: 1)208 2)284 3)405 4)210
1. 52 x 4 = 208
2. 71 x 4 = 284
3. 81 x 5 = 405
4. 42 x 5 = 210

Hope this helps

Brainliest is appreciated :)

b. (a+b)x 1= (a+b)
What property is this?

Answers

commutative property
Identity property of multiplication

this is my LITTLE sisters homework help me

Answers

Answer:

17+ 65=82

PLZZZZZZZ Brainliest

Answer:

17 + 65 = 82

Step-by-step explanation:

17 + 65 = 82


A 8th grade student has 5 years
to save up enough money to
pay for her 4 years of college.
She is estimating each year will
cost $7,500. If she has $5,000
to start a savings account, then
based on the table, what is her
minimum monthly deposit
needed to reach her goal?
Initial Balance
(dollars)
$5,000
$5,000
$5,000
$5,000
Monthly Deposit
(dollars)
$100
$200
$300
$400
Account Value in
Five Years
(dollars)
$12,273
$18,737
$25,202
$31,667

Answers

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

What is an equation of the line that passes through the points (-6,3) and (-5,2)

Answers

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:

Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

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!

Write the equation of the line that has slope 1/2 and passes through (6,-2)

Answers

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.

The population of Town A is 1.26 x 10^5 people. The population of Town B is 2.8 x 10^4 people. How many times greater is the population of Town A than the population of Town B? ​

Answers

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

Step-by-step explanation:

Compare the properties of each exponential function over the interval (0,5)

Function A.
Jasmine received a job offer with a starting salary of $32,000 and a 1.5% increase every year

Function B
A second job offer for jasmine can be described by the function F(x) =30,000(1+0.02)^x

Answers

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

What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
A. -7
B. -3
C. 0
D. 4

Answers

Answer:

-7

Step-by-step explanation:

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

Find the following for the nth term of the following geometric sequence, as an expression of n:

3, 15, 75, 375

Answers

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]

Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?

Answers

Answer:

69 purple cookies!

Step-by-step explanation:

A painter needs to find the area of
the gable end of a house. What is
the area of the gable if it is a triangle with two sides of 81 feet that meet at a 112° angle?

Answer = [?]ft^2 (Acellus!)

Answers

Answer:

3042

Step-by-step explanation:

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

The area of the triangular gable is 6083.25 ft².

What is a triangle?

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

Plz solve. I will give brainliest

Answers

Answer:

x = 9x ∈ all real numbers

Step-by-step explanation:

1)

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

__

2)

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.

Which of these expressions equal -8? Check all that apply. 16 x -1/2, -16/3 x 1/2, -1.25 x 6.4, -18 x 1/2, -2x-4, -32 (1/4), 12 x -1/3, -32/1/4), -1.75 x 4.6​

Answers

Answer:

16×-1/2, -1.25×6.4

Step-by-step explanation:

16×-0.5

=-8

-1.25×6.4

=-8

Find the equation of the straight line passing through the point (3,5) which is perpendicular to the line y=3x+2

Answers

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

Find the 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.

Answers

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:

Two numbers that can be repeated chosen from a set of 10 numbers, thus, in total, there are [tex]10^2 = 100[/tex] outcomes.

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

0 can be added with all the 10 numbers, as can 1.2 can be added with 9 of them, bar 9.3 can be added with 8 of them.4 can be added with 7 of them.5 can be added with 6 of them.6 can be added with 5 numbers, 7 with 4, 8 with 3, and 9 with 2.

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

5. Find 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.

Answers

Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

y = -1

Therefore, P(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).

What is section formula?

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

What is the slope of the line that passes through the points (-6,-7) and (-25, -7)

Answers

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.

Need help with this

Answers

Answer:

huh??

Step-by-step explanation:

1. Since his last vet appointment, a cat lost
2 ounces.
Explain the meaning of zero in this situation

Answers

Answer: -2

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

The length of the minute hand of a clock is 14cm. find the area it covers in 30 minutes.

Answers

Answer: 420
(I am not sure if this is right)

Find the value of X.

Answers

Answer:

x=28

Step-by-step explanation:

90-33=57

2x+1=57

2x=56

x=28

4 2/3 + 6 1/5
1 13 /15

10 13/15

13 5/10

Answers

HOPE IT IS HELPFUL TO YOU ☺️

Answer:

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

can someone help me 5/4/7 + 1/3/4

Answers

Please check the attached image for the steps.

Answer = 11/42 = 0.261

____

RainbowSalt2222 ☔

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