Answer:
Step-by-step explanation:
Step 3:
Let LM = x
OK = KP = 12 units [Radii of circle K]
LN = LP = 8 units [Radii of circle L]
Therefore, KL = KP + PL
KL = 12 + 8
= 20 units
Step 4:
Since, ΔKOM and ΔLNM are the similar triangles,
By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.
[tex]\frac{OK}{NL}=\frac{KM}{LM}[/tex]
[tex]\frac{12}{8}=\frac{x+20}{x}[/tex]
12x = 8(x + 20) [By cross multiplication]
12x = 8x + 160
12x - 8x = 160
4x = 160
x = 40
Find the length of line segment XY, assuming that M is the midpoint of XY
Answer:
Step-by-step explanation:
M is the midpoint. SO length of XM equals length of MY
MY = XM
9x + 12 = 5x + 8
Subtract 12 from both sides
9x = 5x +8 - 12
9x = 5x - 4
Subtract 5x from both sides
9x - 5x = -4
4x = -4
Divide both sides by 4
x = -4/4
x = -1
XY = 5x + 8
= 5*(-1) + 8
= -5 + 8
XY = 3
MY = 9x + 12
= 9*(-1)1 + 12
= -9 + 12
MY = 3
X Y = 3+3
XY = 6
What number could replace the box so that the system of equations has
infinitely many solutions?
A. -9
B. 3
C. 9
D. -3
Answer:
d || if its wrong cancel me lol <3
Step-by-step explanation:
Find the measure of the indicated angle
Answer:
x = 70°Step-by-step explanation:
Given is the isosceles triangle as two sides marked equal.
The missing angles measure the same.
Since the sum of interior angles of a triangle is 180°, we have:
40° + 2x = 180°2x = 140°x = 70°It is an isosceles triangle,
The marked 2 sides of triangle are equal.
Now we have to,
find the measure of indicated angle.
General formula,
→ Sum of all sides of triangle = 180°
Then the value of x is,
→ 2x + 40° = 180°
→ 2x = 140°
→ x = 140/2
→ x = 70°
Therefore, 70° is the value of x.
The Students in a school can be arranged in 12, 15, 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school? (Hint: find the LCM)
Answer:
180
Step-by-step explanation:
help plsssssssssssssssssssssssssssssss
Answer
5
All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.
So 4^2 + 3^2 = c^2
25 = c^ 2
5 = c
Hope that helps!
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.
If < A and < B are complementary, and < A = 3x + 4 degrees, while < B = 6x - 4 degrees, find x.
Select one:
a. 10
b. 4
c. 9
d. 21
Answer:
a
Step-by-step explanation:
complementary angles sum to 90° , so
3x + 4 + 6x - 4 = 90
9x = 90 ( divide both sides by 9 )
x = 10
Find the missing angle measures.
Answer:
<ABD = 42 degrees
<ABC = 84 degrees
Step-by-step explanation:
<ABC = 42 + 42 = 84
Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, alla mediana la terza parte e alla minore la nona parte. Inoltre Marcella vuole dare una perla a Dora come ricompensa. Quante perle riceverà ciascuna figlia?
Answer:
La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.
Step-by-step explanation:
Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:
35 / 2 = Mayor = 17.5 perlas
35 / 3 = Medio = 11.66 perlas
35 / 9 = Menor = 3.88 perlas
Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.
in an isosceles triangle two sides are equal. the third side is 2 less than twice the length of the sum of the two sides. the perimeter is 40. what are the lengths of the 3 sides
Answer:
s for length of either equal side
b for the unequal side
b=-2+2*(s+s) and 2s+b=40
b=2*2s-2
b=4s-2
2s+4s-2=40
6s-2=40
6s=42
s=7
b=4*7-2
b=28-2
b=26
The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS
Step-by-step explanation:
here's the answer to your question
How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?
Answer:
Step-by-step explanation:
you can divide 11/30 and get 0.37
0.37%/ 100*11 =
Multiply:
0.37*11 =
add the 100 to the product you multiplied and divide them together:
4.07/100=
your quotient:
0.0407
round by 2 decimals:
0.04
your final answer is :
0.04
Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p
Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
...
The total profit P of manufacturing x hundred DVD's is given by the equation below.
P = 600 + 1,500x − 100x2
Find x if the total profit is $5,600.
Answer:
x = -7.5
Step-by-step explanation:
P = 600 + 1,500x − 100x^2
P = − 100x^2 + 1,500x + 600
x = -b/2a
1500/ (2 x -100)
x = -7.5
write a function rule for the following data
Please help I don't understand this at all
Answer:
The answer is 48in
Step-by-step explanation:
simplify(x_2y)(x_2y)_(x+2y)(x+2y)
Answer:
-8xy
Step-by-step explanation:
Expand
( x − 2 y ) ( x − 2 y )
x ⋅ x + x ( − 2 y ) − 2 yx − 2 y ( − 2 y ) − ( x+ 2 y ) ( x + 2 y )
x2−4xy+4y2−(x+2y)(x+2y)
x2−4xy+4y2+(−x−(2y))(x+2y)
Multiply2by−1.x2−4xy+4y2+(−x−2y)(x+2y)
x2−4xy+4y2−x⋅x−x(2y)−2yx−2y(2y)
x2−4xy+4y2−x2−4xy−4y2
− 8xy
Selecting a few households from New York City and observing whether or not they own stocks when it is known that 28% of all households in New York City own stocks. Is this experiment a binomial experiment? Explain why.
Answer:
Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.
Step-by-step explanation:
We have to take into consideration three things:
For each household, there are only two possible outcomes, either they own stocks, or they do not.
The probability of a household owning stock is independent of any other household, that is, for any household, the probability of someone owning stocks is 28%.
There is a fixed number of trials.
Is this experiment a binomial experiment?
Since for each household there are only two possible outcomes, the a household owning stock is independent of any other household and there is a fixed number of trials, this experiment is a binomial experiment.
I need some one to help me!!
Is (7, 0) a solution to the equation y = x − 7?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCoordinates (x, y)
Step-by-step explanation:
Step 1: Define
Identify
Point (7, 0)
Equation y = x - 7
Step 2: Find
Substitute in point [Equation]: 0 = 7 - 7Subtract: 0 = 0Since 0 = 0 is true, then it would be a solution to the equation.
if f(x) = 3x - 12 what is f(2)
Answer:
-6
(3*2)-12
6-12
-6
Step-by-step explanation:
Answer:
[tex]f(2) = -6[/tex]
Step-by-step explanation:
[tex]f(x) = 3x - 12[/tex]
[tex]f(2) = 3(2) - 12[/tex]
[tex]f(2) = 6 - 12[/tex]
[tex]f(2) = -6[/tex]
Hope it is helpful....What is the value of (3/10)^3?
♡ 3/1000
♡27/1000
♡9/10
♡27/10
Answer:
27/10 is the value of (3/10)^3.
Step-by-step explanation:
It is also written as 0.027
What is true about an equation with infinite solutions?
When both sides of the equation are simplified, the coefficients are the same.
When both sides of the equation are simplified, the constants are different.
There are no input values that will result in a true statement.
Only one input value will result in a true statement.
When both sides of the equation are simplified, the coefficients are the same.
Step-by-step explanation:
An equation has infinite solutions when both sides of the equation are simplified, the coefficients are the same
Answer:
The answer is A.
Which of the following is an extranous solution
Answer:
x=2 is the answer
Step-by-step explanation:
please say me the answer fast with step by step process
find the coefficient of variation from the following data mean=4 variance=25
what is the range of this function 6 goes to 5 8 goes to -3 10goes to -8 and 12 goes to 7
a.(-3,7,8,12)
b.(-8,-3,5,6,7,8,10,12)
c.(-8,-3,5,7)
d.(6,8,10,12)
Answer:
C, {-8, -3, 5, 7}
Step-by-step explanation:
the range = the y-coordinates
i hope this helps you
Need help on this!!! 7 points!!!!
Answer:
your answer is (2,3) i think so .......am i right...or wrong..
Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form.
Answer:
[tex]a_n = -11-14n[/tex]
Step-by-step explanation:
Given
[tex]a_1 = -25[/tex]
[tex]a_n = a_{n-1}-14[/tex]
Required
The explicit formula
First, calculate [tex]a_2[/tex]
Set n=2; So:
[tex]a_2 = a_{2-1}-14[/tex]
[tex]a_2 = a_{1}-14[/tex]
Substitute -25 for [tex]a_1[/tex]
[tex]a_2 = -25-14[/tex]
[tex]a_2 = -39[/tex]
Calculate the common difference (d)
[tex]d = a_2 - a_1[/tex]
[tex]d = -39 --25[/tex]
[tex]d = -14[/tex]
So, the nth term is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = -25+ (n - 1)*-14[/tex]
Open bracket
[tex]a_n = -25-14n + 14[/tex]
Collect like terms
[tex]a_n = 14-25-14n[/tex]
[tex]a_n = -11-14n[/tex]
6 times the diffrence of 12 and 9 divided by 3
Answer:
1
Step-by-step explanation:
The difference of 12 and 9 is 12 - 9 = 3
Then 3 ÷ 3 = 1
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use the formula for the work rate:
Ted's work rate = 1/3 of the field per hour
Jacob's work rate = 1/2 of the field per hour
Together, their work rate.
= (1/3 + 1/2) of the field per hour
Now,
We can simplify the equation for the combined work rate by finding a common denominator:
(1/3 + 1/2)
= (2/6 + 3/6)
= 5/6 of the field per hour
Now we can use the formula for the work rate to solve the time it would take them to clear the field together:
(5/6)t = 1
(where t is the time in hours)
Solving for t:
(5/6)t = 1
t = 6/5
Therefore,
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
Learn more about equations here:
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