Answers
If IK is the whole length of the line segment, then IJ + JK = IK.
IJ + JK = IK
(3x - 5) + (2x - 1) = (3x + 2)
3x + 2x - 5 - 1 = 3x + 2
5x - 6 = 3x + 2
2x - 6 = 2
2x = 8
x = 4
Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.
JK = 2x - 1
JK = 2(4) - 1
JK = 8 - 1
JK = 7
Hope this helps!
This is because JK + IJ = IK which means 2x-1+3x-5=3x+2
When you simplify this you will get x=4
You then plug 4 into your equation for JK so 2(4)-1 which equals 7
Related Questions
Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account?
Answers
--Answer--
negative integer
--Explanation--
28 - 45 = -17; the number subtracting is greater than the original number.
Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale
Answers
Answer:
[tex]60\pi\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].
What we're given:
[tex]r[/tex] of 3 cm[tex]\ell[/tex] of 17 cmSubstituting given values, we get:
[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]
Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B
Answers
jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.
Answers
Answer:
nx12=p
Step-by-step explanation:
So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.
Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided
Answers
Answer:B
Step-by-step explanation:
A(3;4) in the parabola.
The answer B: y=(x-3)^2 +4.
y=yA=4; x=xA= 3
=> 4=(3-3)^2+4 (right)
The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is
Answers
Answer:
The other rational number in the operation given is:
6/5Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
r * 15/14 = 9/7Where:
r = the other rational number.Now we are going to solve r to identify its value in numbers:
r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7In this form, we know the result is correct.
Name the quadrilateral ?
Answers
Answer:
Rectancle
Step-by-step explanation:
Has four sides and four edges
Answer:
A rectangle
Step-by-step explanation:
A rectangle has 4 sides, in which the opposite angles are equal.
In here, AD = BC & AB = CD
Hope u understood
Please mark as brainliest
Thank You
I NEED HELPPP is it 112 or 56 ?????
Answers
Please mark brainliest
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answers
Answer:
The answer is "[tex]125 \ in^2[/tex]"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]
[tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]
The base of the square has a formula area
[tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]
The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]
[tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]
Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT
Answers
To determine where the maximum is for the graph of F(x)
what is the cost for 23 yards of cloth at 85.62 per yard
Answers
Answer:
1,969.26
Step-by-step explanation:
If a yard costs 85.62, we can present this as;
y = 85.62
Therefore, to find the cost of 23 yards, we can represent the above equation as;
23y = x
since we already know the value of y, we can say that
x = 23(85.62)
so,
x = 1,969.26
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
Answers
Find this by plugging your values into the density formula and solving for M.
Find the missing length indicated.
Answers
Answer:
x= 108
Step-by-step explanation:
use the altitude theorem:
altitude ² = projection of side 1* projection of side 2
x² = 144* (225-144)
x² = 144*81
x= √144*81
x= 108
Helpppppp y’alllllllllll
Answers
Answer:
[tex]V=83.73\ in^3[/tex]
Step-by-step explanation:
The capsule is in the shape of two hemispheres and cylinder.
The volume of the container = volume of two hemispheres + volume of cylinder
The radius of the container, r = 2 in
Height of the cylindrical part, h = 8 in - 4 in = 4 in
So,
[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]
Put all the values,
[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]
So, the volume of the container is equal to [tex]83.73\ in^3[/tex].
PLEASE HELP DONT SKIP I NEED YOU
Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.
outcome -
Probability (as a fraction) -
Answers
Answer:
72 outfits possible,
1/72 chance of selecting a particular outfit
Step-by-step explanation:
For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally [tex]3\cdot 4\cdot 6=72[/tex] outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is [tex]\boxed{\frac{1}{72}}[/tex]
1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *
Answers
if i have £100000 what is 47.6% OF THE MONEY
Answers
Answer:
Step-by-step explanation:
it maybe 11,000 i am not sure but i hope this helped
Answer:
47,600.00
Step-by-step explanation:
I just did a math test with that exact same Question.
change for the interval from x = 8 to x = 9.
A. 19,683
B. 13,122 O
C. 3
D. 6561
Answers
Answer:
its b
Step-by-step explanation:
nahazbzbzhzhzhzhshhs
====================================================
Explanation:
We keep multiplying each rate of change by 3
The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B-----------------
Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.
The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)
Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.
Plug in n = 9 and we get 2(3)^(9-1) = 13,122
need help!! question is on the picture.
Answers
Answer:
√d=4×5
√d=20
square both sides
√d²=20²
the square cancels the square root
d=400
Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?
Answers
Answer:
2270 grams
Step-by-step explanation:
If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270
10 points to answer this question. Determin the numerical length of VW.
Answers
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9
Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7
Answers
Answer:
Step-by-step explanation:
First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!
Just to show you how to solve this kind of problems:
1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2
3x ≤ - 5 - 2
3x ≤ - 7
x ≤ - [tex]\frac{7}{3}[/tex]
2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2
3x + 5 ≥ 2
3x ≥ - 3
x ≥ - 1
x ∈ ∅
If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?
Answers
Answer:
ok so the standard equation for finding the area of a equation is BH=A
so if the lenth is 1323 and the width is unknown other wise X
we can make an equation
1323X=30
so we divide 30 by 1323 which is
X=0.02267573696 so
The width is about 0.023 cm
Your Welcome
BIFFY OUT!!!
Sina + sin2a + sin3a + ... + Sinna
Answers
Answer:
sinasinasinasinaStep-by-step explanation:
this ia my answer pag pinagsama lahat ng sina
hahaha help:)))))))))
Answers
Answer:
1332 i think is how it will be writen
Step-by-step explanation:
Answer:
121,212
Step-by-step explanation:
im not 100% sure
What expression represents the profit, and what is the profit if 240 cell phones are sold? 40x-30; $ 2,400 40x-30; $ 9,570 70+50; $ 16,850 70+50; $ 28,800
Answers
Answer:
C: 70 x + 50 = $ 16, 850
Step-by-step explanation:
harry is a shopkeeper, every month he spends $2000 for running the shop. he sells all the goods at 25% more than its. purchase price. what should be the total sales made by him in a month so that hè can earn a profit of $3000 every month.
A. $12000
B. $15000
C. $20000
D. $25000
Answers
Answer:
D i think
Step-by-step explanation:
its just a guess
List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.
Answers
Step-by-step explanation:
Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}
Total=24
Multiples of 5={10,20,30,40}
Probability (multiple of 5)=4/24
=1/6
P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28
Total=9
Probability=9/24
=3/8
Probability is number 12
=1/24
Probability it has square less than 40
=(4,36)
Two numbers
Probability=2/24
=1/12
WILL MARK BRAINLIST!!
Answers
Answer:
24 units
Step-by-step explanation:
Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.
24 units
////////////
Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answers
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system