Answers
Given:
The figure of a triangle.
To find:
The value of x.
Solution:
According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.
Using triangle proportionality theorem, we get
[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]
[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]
Multiply both sides by 40.
[tex]x=\dfrac{9}{20}\times 40[/tex]
[tex]x=9\times 2[/tex]
[tex]x=18[/tex]
Therefore, the value of x is 18.
Related Questions
A triangle with vertices at (2,4), (2,-1) and (5,-1) will have a perimeter of
Round your answer to the nearest tenth.
Answers
Answer:
13.8
Step-by-step explanation:
Please let me know if you want me to add an explanation.
please help EASY EASY STUFF
Answers
Answer:
1
Step-by-step explanation:
Hopefully this is right!
Answer:
0
Step-by-step explanation:
I think.......
HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?
Answers
Answer:
5x+4
Step-by-step explanation:
(x^4/7^-8)^-7
A)x^-28*7^-56
B)x^28/7^56
C)x^28/7^-56
Answers
9514 1404 393
Answer:
A) x^-28*7^-56
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
1/a^b = a^-b
__
[tex]\left(\dfrac{x^4}{7^{-8}}\right)^{-7}=(x^47^8)^{-7}=x^{4(-7)}7^{8(-7)}=\boxed{x^{-28}7^{-56}}[/tex]
Zx and Zy are supplementary angles. Zy measures 108°,
What is the measure of Zx?
Stuck? Watch a video or use a hint.
Answers
Answer:
72°
Step-by-step explanation:
Given
Zy = 108°
Zx = ?
We know
Zx + Zy = 180° {being supplementary angles }
Zx + 108° = 180°
Zx = 180° - 108°
Zx = 72°
Hope it will help :)
Write 4,670,000 in standard form
Answers
Step-by-step explanation:
4,670,000
->
4.67x10^6
(im pretty sure this is correct) :)
Answer:
4.67×10 power 6I hope it helps
The endpoints of line segment CD are C(-2,0) and D(4,9). Find the midpoint of
line segment CD
Answers
Given:
The endpoints of line segment CD are C(-2,0) and D(4,9).
To find:
The midpoint of CD.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the midpoint formula, the midpoint of CD is
[tex]Midpoint=\left(\dfrac{-2+4}{2},\dfrac{0+9}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)[/tex]
[tex]Midpoint=\left(1,4.5\right)[/tex]
Therefore, the midpoint of the line segment CD is (1,4.5).
Write these in order starting with the smallest first.
12% 3/8 0.0123 42% 1/5 0.45
Answers
HELP ASAP ASAP ASAP ASAP PLS HELP HELP
Answers
Answer:
i hope my answer help you
Step-by-step explanation:
1st=8+4=12
2nd the answer is to the nearest 7.06
3rd =2+2³.7=2+13=15
4th=(36÷(4+5))+25=36÷9+25=4+25=29
5th=16÷16+8-3=1+8-3=9-3=6
6th=8-2.4=5.6
HELP!!!!
Given that x=6 and y=-4, evaluate each of the following expressions:
A. 5x/3y+x
B. 2x (square) - y (cube)
Answers
Answer:
A. 5x/3y+x=5×6/(3×-4)=30/-12=-10/4=-5/2
B. 2x (square) - y (cube)=2×6²-(-4)³=72--64=72+64=136
B: 2(6)^2-(-4)^3 = 136
Substitute the value given as x and y into your expression. For A. , order of operation matters. I assumed the “+x” is part of the denominator.
is TT/2 irrational or rational
Answers
Answer:
irrational.
Step-by-step explanation:
Answer:
Irrational
Step-by-step explanation:
I'll assume by TT you mean pi:
Since pi is irrational, dividing by 2 will still make it irrational.
Simplify the expression
6x -(5x-4)
Answers
Answer:
x + 4 OR 1x + 4
Hope this helps, thank you !!
Madeline solved the inequality 3x + 7 ≤ 8x - 3 and her solution is x = 2.
3a) Madeline is incorrect. Explain why she is incorrect.
Answers
5 1/3 + (-4 1/6)+ (-2 1/2)
Answers
Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
We are given that
[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]
We have to find the value of given expression
[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]
[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]
[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]
LCM(2,3,6)=6
[tex]=\frac{32-25-15}{6}[/tex]
[tex]=\frac{32-40}{6}[/tex]
[tex]=\frac{-8}{6}[/tex]
[tex]=-\frac{4}{3}[/tex]
A small submarine is at an elevation of -30 feet compared to sea level. What is its elevation after it ascends 9 feet?
Answers
Answer:
-21 feet or -39 feet
Step-by-step explanation:
Angle A and angle B are complementary angles. Angle A is 30 degrees. What is the measure
of angle B?
Answers
Answer:
60°
Step-by-step explanation:
A=30°
B=?
lets B be x
A=30°
x+30°=90°
x+30°-30°=90°-30°
X=60°
Determine the prime factorization of 88. 2^2• 3 • 5 2^3• 11 2 • 3^2• 5 2^2• 11
Answers
Answer:
2 three times or 2, 2, 2, and 11
Step-by-step explanation:
if you're writing/explaining in exponential form, this is how you write it out, 2³ x 11¹
YW.
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answers
Answer: 40%
Step-by-step explanation:
I guessed on this but i got it right
Answer:
40%
Step-by-step explanation:
Pleaseee help me like I need hp
Answers
Answer:
Please mark me as brainlist and the answer is above by pic
A cake shop bought 55 bread rolls that cost 275 c each and 85
cakes that cost 550 c each. Find the total cost of the rolls and the cakes
Answers
Answer:
im just going to assume you fogot the decimals. the total cost would be $618.75
Step-by-step explanation:
(55*2.75)= $151.25 for bread rolls
(85*5.50)= $467.50 for cakes
151.25+467.50= $618.75
PLEASEEEEE HELP PLEASEEEEE
Answers
Answer:
A=2t+29
B=5t+14
39 inches tall at equal height after 5 years
Step-by-step explanation:
Tree A at 5 years
2x5+29=39 inches
Tree B at 5 years
5x5+14=39 inches
Answer:
★ The answer for A= 2t + 19
★ The answer for B= 5t + 14
★ So the answer would 39 inches tall which would be equal to a height after 5 years
Step-by-step explanation:
Hope you have a great day :)
Simplify: ⅕y - ⅗y + 5 - ⅖y - 8
pls
Answers
Answer:
The answer is -(4/5)y - 3.
Step-by-step explanation:
The steps are :
[tex] \frac{1}{5} y - \frac{3}{5} y + 5 - \frac{2}{5} y - 8[/tex]
[tex] = ( \frac{1 - 3 - 2}{5} y) + (5 - 8)[/tex]
[tex] = - \frac{4}{5} y - 3[/tex]
Step-by-step explanation:
⅕y - ⅗y + 5 - ⅖y - 8
-0.8y-3
-4/5y-3
Please help will give Brainly
Answers
x³ = 1/7²
∛(x³) = 1/∛7² = 1/7^(⅔) = 7^(-⅔)
x = 7^(-⅔)
The answer appears to be C, although there is an unexplained “⅔” below it.
Does anybody know were to line them?
Answers
Answer:
bro just use desmos
Step-by-step explanation:
it's a graphing calculator
An item is regularly priced at $72. Keiko bought it on sale for 80% off the regular price. How much did she pay?
Answers
Answer:
$57.60
Step-by-step explanation:
find 50% = $36
find 10% = $7.20
triple $7.20 = $21.60
add £36 and $21.60 = $57.60
1. Please help if possible :)
Answers
Answer:
54
Step-by-step explanation:
6x=9x-27
x=9
9*9-27=54
I WILL PAYPAL YOU 20 POINTS IF U DO THIS
Answers
Answer:
What is the variable behind the 5?
Step-by-step explanation:
[tex]\frac{13*5^{3}*z^{10}}{x^{5}}[/tex]
OR
[tex]\frac{1625 z^{10}}{x^{5}}[/tex]
Answer:
(13x * 10^53) + 10.
Step-by-step explanation:
To simplify the expression "13x 10^53--10" and write it using only positive exponents, we can follow these steps:
Step 1: Remove the double negative signs by converting them to positive signs:
13x 10^53 + 10
Step 2: Rewrite the expression by moving the term with a positive exponent to the denominator:
13x / (10^-53) + 10
Step 3: To simplify the denominator, we can rewrite 10^-53 as (1/10^53):
13x / (1/10^53) + 10
Step 4: Simplify the division of a fraction by multiplying by its reciprocal:
13x * (10^53/1) + 10
Step 5: Multiply 13x by 10^53:
(13x * 10^53) + 10
The simplified expression, written using only positive exponents, is (13x * 10^53) + 1
Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.
Answers
Answer:
$57400
Step-by-step explanation:
Given data
P= $10,000
R= 6%
T= 30 years
Let us Assume the investment is compounded Anually
A= P(1+r)^t
A=10000(1+0.06)^30
A=10000(1.06)^30
A=10000*5.74
A=$57400
Hence the Final Amount after 30 years compounded anually is $57400
Sarah exchanged 1,000 US dollars for the Croatian Kuna. The exchange rate was 6.72 Kuna for $1. How many Croatian Kuna did Sarah get?
Answers
Answer:
6720 Kuna
Step-by-step explanation:
multiply the rate for one dollar by the amount of money your are converting
6.72 x 1000 = 6720
x + 3y = 5
-X+6y=4
Solve the systems of equations
A)
x = 1, y = 2
B)
x = 2,y - 1
x - 1.y - 1
D)
X-Oy-2
Answers
Answer:
x=2, y=1. (2, 1).
Step-by-step explanation:
x+3y=5
-x+6y=4
--------------
9y=9
y=9/9=1
x+3(1)=5
x+3=5
x=5-3=2
Answer:
x=2
y=1
Step-by-step explanation: