Answer: 26
Step-by-step explanation: You would order the numbers from least to greatest, then find the middle number of the set.
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
If triangle JKL~ Triangle MKN, find the value of x
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values
[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔJKL
one segment MN which is intersecting sides KJ & KL
ΔJKL has one similar triangle inside, which is ΔMKN
Triangle ΔJKL and ΔMKN are similar,
So, we can say ΔJKL ≈ ΔMKN
And it is known that
for similar triangles, ratio of lengths of sides are equal for similar triangles
so, KN/MN = KL/JL
⇒ (X + 1)/12 = (3X -2)/32
⇒ 32X + 32 = 36X - 24
⇒ 32 + 24 = 36X - 32X
⇒ 56 = 14X
⇒ X = 4
To know more about properties of triangles check:
https://brainly.com/question/8476788
#SPJ1
19. To the nearest year, how long would an investment need to be left in the bank at 2%, compounded annually, for the investment to double. A. 34 years C.36 years D. 37 years B. 35 years 20 Sam inhorito 150
Answer:
B. 35 years 20 Sam inhorito 150
Step-by-step explanation:
HI PLS HELP ME ASAP!! THIS IS VERY EASY
The question is there in the picture.
What’s the answer?
A) 34
B) 11
C) 9
D) 28
Answer:
A
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent, that is
∠ Q = ∠ P, substitute values
3x + 1 = 2x + 10 ( subtract 2x from both sides )
x + 1 = 10 ( subtract 1 from both sides )
x = 9
Thus
∠ Q = 3x + 1 = 3(9) + 1 = 27 + 1 = 28° → D
An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8
What is the equation of the line in slope intercept form?
Answer:
y=3/5x+3
Step-by-step explanation:
Find the measure of the numbered angle.
Answer:
1 = 37° 2 = 57°
Step-by-step explanation:
All the angles in a triangle have the sum of 180°The small box in the corner of the angle represents 90°To Find Angle 1
Add -----> 90 + 53 = 143Subtract -----> 180 - 143 = 37To Find Angle 2
In the middle of the two shapes, they come to a point making them vertical angles. This means if one side is 90° the other side is also 90°Add -----> 90 + 33 = 123 Subtract -----> 180 - 123 = 57How many like terms are in the expression? 14x- 14y +7 - x + z + 2x
A.0
B.2
C.3
D.5
Answer:
5
Step-by-step explanation:
14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)
ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8
Answer:
[tex]XY = 18[/tex]
Step-by-step explanation:
Given
[tex]ABC:AXY = 4 : 3[/tex]
[tex]BC = 24[/tex]
Required
Find XY
Represent BC and XY as a ratio;
[tex]BC : XY = 24 : xy[/tex]
Recall that:
[tex]ABC:AXY = 4 : 3[/tex]
Equate both ratios;
[tex]24 : xy = 4 : 3[/tex]
Convert to fractions
[tex]\frac{24}{xy} = \frac{4}{3}[/tex]
Cross Multiply
[tex]xy * 4 = 24 * 3[/tex]
[tex]xy * 4 = 72[/tex]
Divide through by 3
[tex]xy * 4/4 = 72/4[/tex]
[tex]xy = 18[/tex]
Hence:
[tex]XY = 18[/tex]
Answer:
XY = 18
Step-by-step explanation:
a science center has v visitors on the first day of an special exhibit and 200 visitors on the second day what is the average number of visitors per day over the two days
find the linear equation from the points (-2,-6) and (2,-3)
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
find the slope by (y2-y1)/(x2-x1) and then substitute a point in
XYZ is Shown Below
Determine the value of x.
Answer:
x = 10
Step-by-step explanation:
Every triangle has 180o. Just add the three angles together.
8x + 5 + 3x + 25 + 4x = 180 Combine the like terms.
15x + 30 = 180 Subtract 30 from both sides
15x = 180 - 30 Combine
15x = 150 Divide by 15
x = 150/15
x = 10
Answer:
10
Step-by-step explanation:
8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)
8x + 3x + 4x + 5° + 25° = 180°
15x + 30° = 180°
15x = 180° - 30°
15x = 150°
x = 150/15
x = 10°
hope it helps u!
what is the simplified fractional equivalent of the terminating decimal 0.32
Answer:
8/25
Step-by-step explanation:
Brainliest pls
Answer:
8/25
Step-by-step explanation:
( 30 points ) help meee !
Answer:
D
Step-by-step explanation:
hard to explain, but trust me.
Answer:
I think its c but im not sure srry if im wrong im not good at math
Step-by-step explanation:
What is the solution to the equation 2x – 4 = 6?
A) X=1
B) x=4
C) x= 5
D) x=8
Answer: C.x = 5
2x - 4 = 6
⇔ 2x = 10
⇔ x = 10/2 = 5
Step-by-step explanation:
Hi! This is due soon and I really need help. (-:
Write an expression to represent the income of the fundraiser in the following paragraph
Write an expression to represent the profit of the fundraiser.
The varsity basketball team is selling t-shirts as a fundraiser. It costs them $100 to have the shirts professionally designed, and they have to pay $5 for each shirt. They plan on selling the shirts for $10 each.
I already got that the expression that represents the expenses of the fundraiser would be -5x+100. But I was kinda confused about the other ones :-/ Any help would be appreciated (-:
Answer:
10x>5x+100
Step-by-step explanation:
it says expression not equations so its < , >,
The profit would be on one side and the expenses on the other
No negatives
so it would be 5 times X (the amount of shirts) plus the base fee of $100
and they plan on selling it for 10$ each so (10x) is the profit
X = number of shirts
у - 2x2 +Чу ...............
there are 50 kilometers in 31 miles. which representation does NOT show the same relationship
Answer: D
Step-by-step explanation: did you get it right
Answer:
D
Step-by-step explanation:
how do you explain HOW TO GET 10 x 2 - 3^2 + 4/2 -7= 6
Answer:
((x - (2x - 3)/(3x - 2))/(3x + 4)
and its fractional equivalent
2x - 3
x - ------
3x - 2
----------
3x + 4
it is easier to see the relation between the various parts, and how it
might be simplified, when you see it in the latter form. Notice that I
didn't have to use parentheses at all; that's because the bar serves
the double purpose of indicating division and of separating the
divisor from the dividend. In fact, this usage derives in part from an
old use of the bar (called a vinculum) to do what we usually do with
parentheses today, by putting a bar above any group of symbols that
are to be kept together:
Step-by-step explanation:
if wrong report me
charles has 24 marbles. he has 6 more yellow marbles then blue marbles. which equation represents this senctence
Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.
Step-by-step explanation:
To paint a house, a painting compay charges a flat rate of $500 for supplies, plus $50 for each hour of labor. How much would the painting company charge to paint a house that needs 20 hours of labor?
Answer:
$1500
Step-by-step explanation:
You multiply the $50 an hour by the 20 hours and you end up with $1000, then you add the flat rate of $500 and you get $1500.
(Use Solving Systems by Graphing to find a solution for this question)
One cellphone provider charges $10 per month plus an activation fee of $20. A second cellphone provider charges $11 per month plus an activation fee of $15. For what number of months is the cost of either cellphone provider the same?
Answer:
Hope it can help you.......
If you understand my answer, You can mark me as a brainlist...........
Follow me.........
uhm can i get a brain dump moment right here(btw i pick a random subject)
Answer:
liquid
Step-by-step explanation:
the length of a rectangular mat is twice its breath.if its length is 50 cm find its area and perimeter
Answer:
L = 2W
If L = 50cm
then
w= 25cm
Area = L*W= 50*25
Area= 1250 cm^2
Perimeter
P = 2(L+W)
P= 2 (50+25)
P = 150cm
I need help please !
Answer:
3) B is congruent toE
Step-by-step explanation:
B is congruent to E helps you prove triangle ◇ABC is similar to ◇ DEF, not congruent to it.
find the distance between the point
(-3,-4 and 5,5
(
Answer:
the square root of 145
Step-by-step explanation:
D= square root[(y2-y1)^2 + (x2-x1)^2]
D=square root[(5+4)^2 + (5+3)^2]
D=square root[(9)^2 + (8)^2]
D=square root[81 + 64]
D=square root[145]
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
Simplity
4/x+1 - 3/x-1
Answer:
[tex]\frac{1}{x}[/tex]
or
[tex]\frac{4x^{2} -3}{x}[/tex]
Step-by-step explanation:
can i have brainliest?
A bag contains 12 red marbles the ratio of red marbles to blue marbles is 4:3 find the number of blue marbles in the bag
Answer:
9
Step-by-step explanation:
this can be written as an equation.
12/x=4/3
and it is just easy now, you see what you multiply 4 by to get 12 and it is 3, so that means you have to multiply 3 by 3
3 times 3 is 9, so the answer is 9
Answer:
Hello There!!
Step-by-step explanation:
First look at the ratios the red marbles ratio is 4 and the blue marbles ratio is 3.
You already know that there are 12 ratios in the bag so 12÷4=3(1 ratio equals 3 marbles)
Therefore,3×3=9.So the answer is 9 blue marbles.
hope this helps,have a great day!!
~Pinky~
Marisa got an 85% on her math quiz. She had 34 questions correct. How many questions were on the quiz?
Answer:
40
Step-by-step explanation:
Set up a window pane method to solve this.
That picture is called the window pane method.
36 would go in the A section because it's part of the test questions not all of them. 100 would stay in its spot and 85% goes in the percent spot. The equation would look like this: 36 times 100 divided by 85 = 40
Need Help
Question is in screenshot below
Show your work if you can
Thank you :)
================================================
Work Shown:
One way to express exponential form is to use
y = a*b^x
where 'a' is the initial value and 'b' is linked to the growth rate.
Since we're told 34 bees are there initially, we know a = 34.
Then after 4 days, we have 48 bees. So we can say,
y = a*b^x
y = 34*b^x
48 = 34*b^4
48/34 = b^4
24/17 = b^4
b^4 = 24/17
b = (24/17)^(1/4)
b = 1.090035
Which is approximate.
The function updates to
y = a*b^x
y = 34*(1.090035)^x
------------------------
As a way to check to see if we have the right function, plug in x = 0 and we find:
y = 34*(1.090035)^x
y = 34*(1.090035)^0
y = 34*(1)
y = 34
So there are 34 bees on day 0, ie the starting day.
Plug in x = 4
y = 34*(1.090035)^x
y = 34*(1.090035)^4
y = 34*1.4117629
y = 47.9999386
Due to rounding error we don't land on 48 exactly, but we can round to this value.
We see that after 4 days, there are 48 bees.
So we confirmed the correct exponential function.
------------------------
At this point we can find out how many bees there are expected to be after 20 days.
Plug in x = 20 to get
y = 34*(1.090035)^x
y = 34*(1.090035)^20
y = 190.672374978452
Round to the nearest whole number to get 191.
There are expected to be roughly 191 bees on day 20.