Answers
Answer:
The length of the missing segment is 44
Step-by-step explanation:
Given
The figure above
Required
Determine the missing segment
Let the missing segment be represented with x
Given that, there exist parallel lines between the two triangles;
The relationship between the sides of the triangles is as follows;
[tex]\frac{20}{x} = \frac{10+20}{22+x}[/tex]
[tex]\frac{20}{x} = \frac{30}{22+x}[/tex]
Cross Multiply
[tex]20 * (22 + x) = 30 * x[/tex]
Open bracket
[tex]20 * 22 + 20 * x = 30 * x[/tex]
[tex]440 + 20x = 30x[/tex]
Subtract 20x from both sides
[tex]440 + 20x - 20x= 30x- 20x[/tex]
[tex]440 = 30x- 20x[/tex]
[tex]440 = 10x[/tex]
Divide both sides by 10
[tex]\frac{440}{10} = \frac{10x}{10}[/tex]
[tex]\frac{440}{10} = x[/tex]
[tex]44 = x[/tex]
[tex]x = 44[/tex]
Hence, the length of the missing segment is 44
Related Questions
I’ve done a I just need help with b and c
Answers
Answer:
A) x+y=10 & 2x+3y=24
B) x=6
C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)
Step-by-step explanation:
A) x+y=10
2x+3y=24
B) make x+y=10 into y=10-x
Substitute 10-x in for y into the 2nd equation.
2x+3(10-x)=24
2x+30-3x=24
-1x=24-30
-1x=-6
x=6
C) Substituting 6 in for x in each of the equations and finding the y factor, we see that we have 6 bottles of soda and 4 bags of chips (10 items that equals 24 dollars)
Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.
Answers
Answer:
24 unit
Step-by-step explanation:
This question can be solved using concept of basic proportionality theorem,
according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
let there be a triangle ABC
if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then
AD/DB = AE/EC (basic proportionality theorem)
_____________________________________
Similarly in this problem
15/5 = ?/8
3= ?/8
? = 8*3 = 24
Thus. missing segment value is 24 unit.
Which set represents the domain of the function shown? (5 points)
{(−3, 6), (0, 2), (4, 7), (11, 15)}
{(6, −3), (2, 0), (7, 4), (15, 11)}
{2, 6, 7, 15}
{−3, 0, 4, 11}
Answers
Answer:
To make it simple, when finding the domain all you have to do is look for the x within the points.
Looking at the first set you can tell that the domain is -3, 0, 4, and 11
The y or the f(x) would be 6, 2, 7, and 15
(Just saying y and f(x) are the same thing.)
For the next set the domain is 6, 2, 7, and 15
For the f(x) it is -3, 0, 4, and 11
Remeber x and Domain is the same thing so all you have to do is look for the x within the points of the plot, as for looking for the range, it is the same thing as y or f(x).
God Bless
Hope that this helps!!!!!!!!!!!!!!
Answer:
D, -3,0,4,11
Step-by-step explanation:
Please answer asap + brainly
Answers
Answer:
last one is the right answer
Answer:
d.5-eighths of a # plus negative 2 and 5-tenths.
Step-by-step explanation:
Hope i helped you.
f(x) = x2. What is g(x)?
Answers
Answer:
g (x-2) = x
Step-by-step explanation:
Set up the composite result function g (f(x))
Then Evaluate g (f(x)) by substituting in the value of F into G: g (x-2) = (x-2) + 2
finally Combine the opposite terms in (x-2) + 2: add -2 and 2: g(x-2) = x+0: add x and 0: g(x-2) = x
-4 + 3a2 from 7a - a2
Answers
7a -a2
+3a2 -4
(7a +2a2 -4)Answer:
-4a^2+7a+4
Step-by-step explanation:
7a-a^2 --4+-3a^2
:-4a^2+7a+4
The following quadrilateral is a parallelogram.
Z
W
100°
?
X
Y
Angle Y measures _ degrees.
Answers
Answer:
100
Step-by-step explanation:
by definition, opposite angles of parallelograms are equal.
for each graph state whether it’s a function
Answers
Answer:
Graph 1, 4, 6 are functions.
Graph 2, 3, 5 are not functions.
Step-by-step explanation:
If graph of a relation pass the vertical line test, then we can say the relation is a function.
In vertical line test, we draw a vertical line parallel to axis, if graph of relation intersect the line almost once, then we say in is a function.
To check, whether the given relation is function or not, draw verticals lines on each graph as shown below.
In graph 1, open circle means the value x=-1 is not include it that.
From the below figure it is clear that:
Graph 1, 4, 6 pass the vertical line test, so they represent functions.
Graph 2, 3, 5 does not pass the vertical line test, so they are not functions.
Plz help me 3(x+1)=5+x
Answers
Answer:
x=1
Step-by-step explanation:
3x+3=5+x
3x-x+3=5
2x=2
x=1
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 1
▹ Step-by-Step Explanation
3(x + 1) = 5 + x
Distribute
3x + 3 = 5 + x
Move the variable to the left and change the sign
3x - x + 3 = 5
Collect like terms
2x = 5 - 3
Calculate
2x = 2
Final Answer
x = 1
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
A garden hose supplies 36 gallons of water in 3 minutes.Use a table of equivalent ratios to show the garden hose's water flow in gallon per minute and minutes
Answers
Answer:
Garden hose water flow in gallons per minute(x:y) = 12:1
Minutes per gallon water flow(y:x) = 1:12
Step-by-step explanation:
Complete question below
A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden hose's water flow in gallons per minute and minutes per gallon.
Let
the garden hose water flow=x
Time of glow=y
x:y=36 gallons : 3 minutes
x/y=36/3
x/y=12/1
x:y=12:1
Therefore, garden hose water flow in gallons per minute is given by
x:y = 12:1
Minutes per gallon water flow
y:x=3:36
y/x=3/36
y/x = 1/12
y:x = 1:12
Therefore, minutes per gallon water flow is given by
y:x = 1:12
Table of equivalent ratio for x:y
36:3
24:2
12:1
Table of equivalent ratio for y:x
3:36
2:24
1:12
Determine the value of x. answers: 1) 116° 2) 122° 3) 58° 4) 238°
Answers
Answer:
B) 122
Step-by-step explanation:
This is because x will equal 180 - 58
Answer:122
Step-by-step explanation:
A right cone has a radius of 13 cm and an altitude of 52 cm. Find its volume. Question 20 options: A) 9,486.0 cm3 B) 27,608.3 cm3 C) 28,458.0 cm3 D) 9,202.8 cm3
Answers
Answer:
D) 9,202.8
Step-by-step explanation:
The volume of a cone is [tex]\frac{\pi *r^{2} *h}{3}[/tex] so when you substitute the values you get the answer
Answer: A
Step-by-step explanation:
Solve for zzz. 42=-7(z-3)42=−7(z−3)
Answers
Answer:
False
Step-by-step explanation:
Well to solve for z we single it out, distribute, use the communicative property, and combine like terms.
42 = -7(z - 3)42 = -7(z - 3)
Distribute
42 = -7z + 21*42 = -7z + 21
42 = -7z + 882 = -7z + 21
-42 to both sides
-7z + 840 = -7z + 21
-21 to both sides
-7z + 819 = -7z
+7z to both sides
819 = 0
Thus,
the given equation is false.
I hope this helps :)
PLEASE HELP I AM GIVING 15 POINTS INSTEAD OF FIVE FOR ANSWERING PLEASSSEEE HEEEEELLLP
Answers
Answer:
Third Choice:
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
Step-by-step explanation:
One line has
[tex] x + \dfrac{b}{2a} = \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]
The next line's reason is that b/2a was subtracted from both sides.
The missing line is:
[tex] x = -\dfrac{b}{2a} \pm \dfrac{\sqrt{b^2 - 4ac}}{2a} [/tex]
Then it simplifies to
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Which transformations can be used to carry ABCD onto itself? The point of
rotation is (3,2). Check all that apply.
Answers
Answer:
A and B
Step-by-step explanation:
For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.
For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.
For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.
For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.
9. Annie works as a school tutor and a baker. As a tutor, she earns $18 per hour. Last
week she worked x hours as a tutor and her friend paid her $25 to bake a cake.
Write an expression to represent the total amount Annie earned last week.
Type your answer below:
Answers
she earned $18 an hour and worked for x hours so to find the total, you multiply the two. (18x) but she earned some extra cash which is $25 so you need to add that to.
The total amount Annie earned last week 18x+25.
What is work in math ?In conclusion, when a force acts on an object to induce a displacement, labor is done.To determine the amount of work, three quantities must be known. The force, the displacement, and the angle between the force and the displacement are the three variables.Annie earns $18 per hour. and she worked x hours .
So, total work = 18 * x = 18x
but she earned some extra cash = 25$
now Annie's total amount with extra cash = 18x + 25
Therefore, The total amount Annie earned last week 18x+25.
Learn more about work brainly.com/question/8958704
#SPJ2
Find the domain of the graphed function.
Answers
finding domain:
to find the domain, we are finding all of the x values.
example:
say we have the points: (2,5) (4,8) (1,7) (8,10) (13,2)
the domain would be a list of all of the x values of all of the coordinate points. therefore the domain would be:
domain:
{1,2,4,8,13}
conclusion:
since you have not attached the function or a graph, you will have to find the domain on your own (unless you attach one now). hope this helps!
For all 5 problems in this assignment, use the following functions:
f(x) = x + 5
g(x) = x2 4x + 5
h(x) = 3x2 - 2x + 5
Match the function with its value.
(f+g)(x)
Choose...
(f*h)(x)
Choose...
h[f(5)] -g[h(1)] Choose...
Answers
Answer:
1.) x^2 + 3x
2.) 3x^2 - 3x
3.) 278
Step-by-step explanation:
You are given the following functions:
f(x) = x + 5
g(x) = x2 + 4x + 5
h(x) = 3x2 - 2x + 5
1.) To match the function with its value,
(f+g)(x) = f(x) + g(x)
Substitutes for the two functions
X + 5 = x^2 + 4x + 5
Collect the like terms and equate them to zero
X^2 + 4x - x + 5 - 5
X^2 + 3x
Therefore, (f+g) (x) = x^2 + 3x
2.) (f*h)(x) = f(x) × h(x)
x + 5 = 3x^2 - 2x + 5
Collect the like terms
3x^2 - 2x - x + 5 - 5
3x^2 - 3x
Therefore, (f×h)(x) = 3x^2 - 3x
3.) h[f(5)] -g[h(1)]
First find f(5)
That is, substitute x for 5 in f(x)
f(5) = 5 + 5 = 10
Also, do the same for h(1)
h(1) = 3(1)^2 - 2(1) + 5
h(1) = 3 - 2 + 5 = 6
h[f(5)] - g[h(1)]
= 3(10)^2 - 2(10) + 5 - (6)^2 + 4(6) + 5
= 300 - 20 + 5 - 36 + 24 + 5
= 334 - 56
= 278
Therefore, h[f(5)] - g[h(1)] = 278
A meeting is held with eight people around a circular table. Two of the participants, April and May, want to sit so that there is exactly one other person between them. How many different seatings are possible? (Two seatings are considered the same if one can be rotated to obtain the other.)
Answers
Answer:
6
Step-by-step explanation:
I = Person
April I May I I I I I
I April I May I I I I
I I April I May I I I
I I I April I May I I
I I I I April I May I
I I I I I April I May
Each situation will always have 1 person between them and there will always be 8 people.
Choose the slope and y-intercept that corresponds with the graph.
Answers
Answer:
slope 3, y intercept 4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses at y=4
The slope is positive since it goes from bottom left to top right
The slope is up 3 over 1 so it is 3/1 = 3
Slope goes up 3 and over 1 so it is 3/1 or 3
if Paul spins this spinner 100 times, approximately how many times will it land on blue? Spinner with three equal sections. One section blue, one section green, and one section red with the arrow pointing at the blue section.
a 25
b 250
c 33
d 333
Answers
Answer:
33
Step-by-step explanation:
100 / 3 is approximately equal to 33
Answer:
i think it is .c because 3 goes into about 33.33 times so hope this helps
Step-by-step explanation:
If abc=dec b=2x+31 and e=7x-24 x=?
Answers
Answer:
x = 11
Step-by-step explanation:
As it is stated the the both the triangle ABC and DEC are congruent, it means that all the angles forms in these triangles are also congruent. We can states that
<A = <D
<C = <C
<B = <E
As both angles B and E are equal to each other, we can equate them
<B = <E
Where <B = 2x+31 and <E= 7x-24, substitute both values in above expression:
2x + 31 = 7x - 24
Solve for x:
7x - 2x = 31 +24
5x = 55
x = 11
Answer:
11
Step-by-step explanation:
Select the correct answer.
Which pair of functions is not a pair of inverse functions?
Answers
Answer:
the answer is a
Step-by-step explanation:
pllllllllzzzzzzz answer this!!!♥️♥️
Answers
9514 1404 393
Answer:
a) 7:24 pm
b) later than 7:24 pm
Step-by-step explanation:
The relationship between time, speed, and distance can be written as ...
time = distance/speed
So, Faris's travel time to London is predicted to be ...
time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours
__
a) Faris's expected arrival time at a speed of 50 mph is ...
3:30 pm +3:54 = 6:84 pm = 7:24 pm
__
b) Time is inversely proportional to speed, so a lower speed will result in a longer time.
Faris's arrival time will be later than 7:24 pm.
Which simplified fraction is equivalent of 5.6 3/15 14/25 5/6 14/250
Answers
Answer:
Thus, 28/5 is equivalent of 5.6
Step-by-step explanation:
Given
Number is 5.6
it is in decimal form.
The first number after decimal represent the tenth of number
The Second number after decimal represent the hundredth of number
and similarly we can define thousandth of a number.
Step to write decimal number in fractional form is (say a.bcd
write the full number without decimal
so number will be
abcd
divide the number by 1
abcd/1
now count the number of digit after decimal and put as many 0's after 1
there are three digits after decimal, we will put three digit after 1 in denominator
thus number in fraction is
abcd/1000
_________________________________________________
Given number is 5.6
hence writing it in fractional form as explained above
5.6 = 56/10
56 = 28*2
10 = 2*5
5.6 = 56/10 = 2*28/2*5 = 28/5
Thus, 28/5 is equivalent of 5.6
The two cylinders are similar. Find the surface area of the smaller cylinder. Round your answer to the nearest hundredth.
A. 942.48 cm²
B. 376.99 cm²
C. 565.49 cm²
D. 226.19 cm²
Answers
Answer:
D
Step-by-step explanation:
To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula
2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².
Need Help Please I'm Out Of Time ;(
Identify three temperatures that are colder than -5°C. Then, using complete sentences, explain how you know that they are colder.
Answers
Answer:
-7 , -9 and -10
Step-by-step explanation:
The main temperature is -5°C.
-5 is a negative number so a colder temperature will be a number that is less than -5
substracting this number from -5 will give us a positive number
-5-(-7)= 2-5-(-9)= 4 -5-(-10) = 5help but do inorder of operations form
Answers
Answer:
29/30
Step-by-step explanation:
Make all denominators equal to 30.
4/5 × 6/6 + 1/2 × 15/15 - 1/3 × 10/10
24/30 + 15/30 - 10/30
Combine.
(24 + 15 - 10)/30
(24 + 5)/30
= 29/30
[tex]\frac{4x6}{5x6}[/tex]Answer:
Step-by-step explanation:
4/5+1/2-1/3
TAKE LCM of denominator
Lcm=5x2x3(as all are prime factors)=30
4x6/5x6
similarly, 1x15/2x15
1x10/3x10
you will get,
[tex]\frac{24+15-10}{30}[/tex]
you will get,
29/30
(/=division sign)....hope i cleared your doubts....pls mark brainliest
Find the circumference and the area of a Circle with diameter 8km. Write your answer in terms of pi.
Answers
Area = 16pi
Explanation:
Circumference = d x pi = 8pi
Area = d^2/4 x pi = 8^2/4 x pi = 16pi
Answer:
8pi km, 16pi km
Step-by-step explanation:
The formula for circumference is d times pi
That means it's simply 8pi
The area formula is pi r^2
To find the radius, we divide by 2,
4 squared is 16
Area is 16pi
PLLLLLLLLLLZZZZZZZZZ
Answers
Answer: 4m + 3
Step-by-step explanation:
4m references the 4 bags of marbles and the m marbles in each bag. + 3 references the extra 3 marbles.