Point G bisects the line segment FH. The length of FG is 16 less than 3 times the length of GH. What is the length of FH?
Answers
Answer: FH = 16
PART IConcept:
Bisect means to cut or divide something into two equal parts.
In mathematics, usually bisect means cutting a segment or an angle.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
Given information
FG is 16 less than 3 times the length of GH
Let x be the length of GH
Given expression
FG = GH
Set equation
3x - 16 = x
Add 16 on both sides
3x - 16 + 16 = x + 16
3x = x + 16
Subtract x on both sides
3x - x = x + 16 - x
2x = 16
Divide 2 on both sides
2x / 2 = 16 / 2
x=8
--------------------------------------------------------------------------------------------------------------
PART IIConcept:
In order to find the length of FH, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
FG = GH = x
x = 8
Given expression deducted from the segment addition postulate
FH = FG + GH
Substitute values into the expression
FH = x + x
FH = 8 + 8
[tex]\boxed {FH=16}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
Which is the graph of f(x) = 1/4 (4)^x ?
Answers
Answer:
The only graph that is fully shown.
Step-by-step explanation:
I did the math and the points check out.
You start at (-4, -5). You move up 5 units. Where do you end?
Answers
Answer:
-4,0
Step-by-step explanation:
Moving up 5 units means moving 5 positive units in the y axis.
-5 + 5 = 0.
Therefore, you end up in (-4,0)
1.Give another name for line s
2. Name then intersection of lines r and s
3.Name three non- collinear points
4. Give another name for plane n
Answers
Step-by-step explanation:
1 ) Another name for lines can be x y z etc ...
2 ) line r and s intersect at point B
3 ) point A B D
point D B C
4 ) Another name for plane N can be P Q T etc...
MARK AS BRAINLIST IF IT IS USEFUL
a mans age today is four years less than five times the age of his oldest son. let a represent the son's age. write an expression to represent the man's age.
Answers
Answer:
m = 5s - 4
Step-by-step explanation:
Man = m
Son = s
the mans age is 4 years less than 5 times his sons age
5 times his sons age is 5s
4 less than that is 5s - 4
The man's age is 5s - 4 or m = 5s - 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Use the distributive property to write an equivalent expression.
8(3v+3w-2)
Answers
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!
Answer:
8(3v+3w-2)=(8×3v+8×3w-8×2)
Step-by-step explanation:
8×3v=24v.
8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)
8×(-2)=-16.
What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°
Answers
Answer:
90 degrees
Step-by-step explanation:
When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.
360 / 4 = 90
Best of Luck!
The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The smallest angle of rotational symmetry for a square is 90°.
This means that the square can be rotated by 90° and still look the same.
It can also be rotated by 180° and 270° to look the same,
but the smallest angle is 90°.
Read more on regular polygon here:
brainly.com/question/20911145
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0 less than or equal to theta less than 2pi
sin theta= 1/2
HELP QUICK PLEASE !!!
WILL GIVE BRAINLIEST !
Answers
Answer:
theta = 4.5642792103077898247
Step-by-step explanation:
0 <= theta < 2Pi sin(theta) = 1/2
so
2Pi sin(theta) = 1/2
Pi sin(theta) = 1/4
sin(theta) = 1/(4Pi)
sin(theta) = .0795774715459
theta = arcsin(.0795774715459) = 4.5642792103077898247
Find the Value of X
(please don't just give me a fake answer)
Answers
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2
The table below represents a function.
what could be the equation of the function?
Answers
===============================================================
Explanation:
Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.
Use the slope formula to find the slope of the line through (-6,9) and (-4,6)
m = (y2-y1)/(x2-x1)
m = (6-9)/(-4-(-6))
m = (6-9)/(-4+6)
m = -3/2
m = -1.5
Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).
So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.
As a check, let's try something like x = 2
y = -1.5x
y = -1.5*2
y = -3
This verifies the second to last row of values. I'll let you check the other rows.
The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.
Answers
Answer:
Let the other number be
′
x
′
Given:LCM+HCF=600
⇒14HCF+HCF=600
⇒15HCF=600
⇒HCF=40
⇒LCM=14×40=560
Since HCFxLCM=Product of 2 numbers
=>40×560 = 280×x
⇒x=
280
40×560
⇒x=40×2
⇒x=80
hence the other number is 80.
f(x) = x² + 3x – 4 if x = 5a
Answers
Answer:
Step-by-step explanation:
f(5a) = ([tex]5a)^{2}[/tex] + 3× 5a - 4
The regular price of a pair of
jeans is $45. If there is a 30%
discount, how much do the
jeans cost after the discount?
Answers
Answer:
$31.50
Step-by-step explanation:
r-6
--------- = - 3
- 3
Answers
Answer:
r=0
Step-by-step explanation:
Which of the following fractions has the greatest value?
3/4
5/8
5/6
5/9
3/7
Answers
We can see that 420/504 is the largest value among the fractions. the fraction 5/6 has the greatest value.
To determine which fraction has the greatest value, we can compare the fractions by finding a common denominator and comparing the numerators.
Let's find a common denominator for all the fractions, which is the least common multiple (LCM) of the denominators.
The denominators are 4, 8, 6, 9, and 7.
The LCM of 4, 8, 6, 9, and 7 is 504.
Now, let's convert each fraction to have a denominator of 504:
3/4 = (3/4) * (126/126) = 378/504
5/8 = (5/8) * (63/63) = 315/504
5/6 = (5/6) * (84/84) = 420/504
5/9 = (5/9) * (56/56) = 280/504
3/7 = (3/7) * (72/72) = 216/504
Comparing the numerators, we can see that 420/504 is the largest value among the fractions.
Therefore, the fraction 5/6 has the greatest value.
for more such question on fractions visit
https://brainly.com/question/78672
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R is between Q and S. If QR = 33.4 and SQ = 80, find RS
Answers
Answer:
56.6
Step-by-step explanation:
if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS
-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23
Answers
Answer:
[tex]x = - \frac{85}{46} [/tex]
[tex]y = - \frac{64}{23} [/tex]
[tex]z = \frac{209}{46} [/tex]
does anyone have the answers for all?
Answers
Answer and Step-by-step explanation:
1-6
a.
What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.
The order that works is second machine, then first machine.
Second Machine:
y = [tex](6)^{2} -6[/tex] = 36 - 6 = 30
Plug into first machine now.
First Machine:
y = [tex]\sqrt{(30) - 5} = \sqrt{25} = 5[/tex]
We see that the result is 5.
b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.
However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.
1-7. The absolute value of a value is the positive version of that value.
a. |54| = 54
b. [tex]-|-7\frac{3}{5}|[/tex] = [tex]-7\frac{3}{5}[/tex]
c. |3| - |-1| = 3 - 1 = 2
d. |2.2 - 5.13| = |-2.93| = 2.93
1-8.
a.
_
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| |
| |
| |
| || || || || |
(5 boxes on each side)
_
| |
| |
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(6 boxes on each side)
b. The amount of squares on each side of the figure increases by 1.
c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.
1-9.
a. -42 - 17 = -59
b. 8 - (-9) = 8 + 9 = 17
c. 8(-9) = -72
d. -42 ÷ (-7) = 6
e. -2(-3)(-4) = 6(-4) = 24
f. -18 - 7 = -25
g. [tex](-5)^{2}[/tex] = 25
h. [tex]-5^{2} = -(5)^2 = -(25)[/tex] = -25
i. [tex]\sqrt{49}[/tex] = 7
1-10. x = 2 Plug 2 in for x, then solve.
a. y = 7 - 3(2) = 7 - 6 = 1
b. y = [tex](2)^2 -1[/tex] = 4 - 1 = 3
c. y = [tex]\frac{18}{2}[/tex] = 9
#teamtrees #PAW (Plant And Water)
I hope this helps!
points....................
Answers
Answer:
what.....................
Answer:
muchas gracias por los puntos
que tengas un buen dia
Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1
Answers
Answer:
The fourth answer choice is correct.
y>3x-1
The linear inequality that is represented here is y> 3x - 1. The last option is correct.
What is a linear inequality?These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.
We can see that the line cuts through 3 at the X axis and -1 at the y axis.
Read more on linear inequalities here:
https://brainly.com/question/17152894?referrer=searchResults
graph the function. f(x)=−∣∣x+2∣∣+1
Answers
Answer:
f(x)=-|x+2|+1
I've attached the graph for it
Explanation:I done the assessment
PLEASE HELP!! i can’t figure this out!
Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.
Answers
Answer:
1,-1
Step-by-step explanation:
midpoint is (-3)+5÷2 ; (-3)+1÷2
=1;-1
Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?
Answers
Answer:
-5.35
Step-by-step explanation:
-20.85
+15.50
this helps with the problem
Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?
Answers
Answer:
543 centimeters or 5 meters 43 centimeters
Step-by-step explanation:
663+224=887
887-344=543
Plz help me answer this question
Answers
Answer:
I think it's the top left one
Step-by-step explanation:
The length is 6, the width is 3, and the height is 4, which matches the expression.
Step-by-step explanation:
[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]
Giải phương trình x^4-2x^3+2x^2-x-6=0
Answers
Answer:
[tex]x_{1} = - 1. \: \: x_{2} = 2[/tex]
Step-by-step explanation:
attached
A new cars salesperson, sold an average of $59,699 per day for the first 4 days she worked. The next 11 days she worked, she sold an average of $49,221. How much did she sell on average per day over the entire time she worked??
Answers
Answer:
5,000
Step-by-step explanation:
Solve using a weighted average like so:
{ (6 days)($34,000) + (4 days)($45,000) }/(6 days + 4 days) = $38,400
It doesn't appear as if the correct answer is listed in the choices? You can tell from the information given that the answer must be between $34,000 & $45,000!
28 + 2h = 2h + 6. What does “h” equal?
Answers
2h – 2h = 28-6 —> 0 = 22
It cannot be solved because 2h -2h equals zero, so there is no h .
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answers
Answer:
Subtract four to get the next term.
Step-by-step explanation:
66 - 4 = 62
62 - 4 = 58
58 - 4 = 54
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer:
B
Step-by-step explanation:
Subtract 4
How do you translate "A number, x, multipled by one thousand. " as a variable expression
Answers
U have ur x variable and it’s being multiplied by 1000
So it’s just 1000•x or 1000x
I hope this helps :)
A man mixes 90 litres of milk, containing 10% of water with 60 liters of milk containing 20% of water, then the percent of water in the minture is?
Answers
Answer:
it is 15 percent than
Step-by-step explanation:
hope i could help