Answers
Answer:
x = 35, y = 18
Step-by-step explanation:
Since both triangles are similar, their sides must be proportional with means all of them have a common ratio.
If NM = 16, and KJ = 40. 40/16 is the ratio from ∆NML to ∆JKL. The reciprocal(numerator and denominator flip, the product of a number and it's reciprocal is 1) of this is true from ∆JKL to ∆NML.
Now to find the missing sides you multiply a side by the common ratio to find it's corresponding side length.
Dividing by a number is the same as multiplying by the reciprocal of that number.
40/16 can be reduced to 5/2 or 2 ½ as a mixed fraction.
16/40 can be reduced to 2/5 or 0.4 as a decimal.
Since the scale of ∆JKL is greater than ∆NML, you multiply by 5/2 to get the corresponding side of ∆JKL from ∆NML.
Since the scale of ∆NML is less than ∆JKL, you multiply by 2/5 to get the corresponding side of ∆NNL from ∆JKL.
Therefore x = 14 × 5/2 = 70/2 = 35.
y = 45 × 2/5 = 90/5 = 18.
Related Questions
simplify (2x+1)(x+8) - (x-3)(2x+1)
Answers
Answer:
22x+11 is your answer
Step-by-step explanation:
(2x+1)(x+8) - (x-3)(2x+1)
(2x+1)(x+8-x+3)
(2x+1)(11)
=22x+11
PLLLZZ HHEELLPPP! QUESTION IS BELOW!
Answers
Answer:
32°Step-by-step explanation:
The two given angles are complementary, it means they add to 90°Find x:
2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24Find Y:
m∠Y = x + 8 = 24 + 8 = 32°Determine if the expression -z^3 + 8x is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. (Someone help me )
Answers
Answer No because it does not have a coefficient
Step-by-step explanation:
a local taxi company charges a base fare of $3.20. the taxi company charges $0.40 for every minute the taxi is in service
Answers
Answer: The equation would be x = 3.20 + 40m where m represents the minutes of service and x is the total cost.
Step-by-step explanation:
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
Answers
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
If a sporting goods store has 40 basketballs, 39 baseballs, 24 footballs, 51 hockey pucks, and 16 lacrosse sticks.
Write the following ratio in simplest form.
Lacrosse Sticks to Basketballs
Answers
Answer:
40/16
2/5
Thus the ratio
= 2:5
Rename 5/6 and 14/15 using the least common denominator.
Answers
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
Answer:
25/30 and 28/30
Step-by-step explanation:
answer for the plato mastery test
simplify (2x)^1/3 times (2x)^4/3
Answers
Answer:
2x^5/3
Step-by-step explanation:
Answer:
32x small 5
9 32x small 5 over 9
Step-by-step explanation:
The determinant of the matrix
Answers
Answer:57
Step-by-step explanation:
(7 x 9) - (-3 x -2) = 57
If y is directly proportional to x and y = 17.5 when x = 21.
Answers
Please explain! What is the solution for the inequality below:
12- x<8
Please help!!!!!
Answers
Answer:
The solution for the inequality is x>4.
Can someone explain their answer?
Answers
13,6,-1,-8,-15,-22,-29,-36
Answer: -36
Step-by-step explanation:
13, 6, -1
to get from 13 to 6 and 6 to -1, you would subtract by 7 so keep subtracting by 7 until you get 8 different terms
13, 6, -1, -8, -15, -22, -29, -36
the eighth term would be -36
i hope that makes sense
Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x
Answers
ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3
ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer:
x = -3.
Step-by-step explanation:
2^x = 0.125
Taking logs:
x ln 2 = ln 0.125
x = ln 0.125 / ln 2
x = -3
Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.
Answers
Answer:
It would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Step-by-step explanation:
Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.
Plug in 10 and 11:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]
Find the common denominator, then add the fractions together:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]
Cross multiply and solve for tb:
110 = 21tb
5.24 = tb
So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Help me with this pls
Answers
What is the additive 3x -6
Answers
Answer:
-18
Step-by-step explanation:
Answer:
−3x+6
Step-by-step explanation:
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answers
Answer:
Your roots are equal to 16
10 minutes to answer
Write an expression equivalent to
4 - (-7)
help
Answers
Please answer this question! It’s almost due!
(Answer Number 8)
Answers
Answer:
its incorrect.
Step-by-step explanation:
I need some help on this if possible
Answers
where C is the circumference, d is the diameter and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.
If you are given the diameter then use the formula C = πd
If you are given the radius then use the formula C = 2πr
Step-by-step explanation:
y = 100 - 8.9x percent
Answers
PLEASE !!! HELP D: lord pls
Answers
Answer:
the answer is 4 have a nice day
What goes on the green box?
Answers
You bought 15 bottles of apple juice and orange juice. The apple juice was $1.00 per bottle and the orange juice was $1.75 per bottle. You spent a total of $19.50. How many bottles of each type of juice did you buy?
Answers
Answer:
13 bottles of apple juice and 2 bottles of orange juice.
i think :))
Step-by-step explanation:
I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)
Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!
Answers
Answer:
54 - 14 = 30
Step-by-step explanation:
Find the value of x. Round to the nearest tenth. 9 4 x = [?]
Answers
Answer:
26.4° (nearest tenth)
Step-by-step explanation:
[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]
[tex]sinx = \frac{4}{9} [/tex]
Taking the inverse of sine on both sides:
[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]
x= 26.4° (nearest tenth)
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answers
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
Answers
You just divide and reduce
2. A kitten is gaining 0.6 pounds per week. The kitten is currently seven pounds. After how many weeks will the kitten be at least 10 pounds?
Answers
Answer:
Here is the answer
Step-by-step explanation:
The kitten weighs_____pounds every week -0.6 pounds
Weight of the kitten at current time -7 pounds
Weeks it will take for the kitten to reach 10 pounds -0.6+7=7.6
now round it off and you will get 7
∴the kitten will take 7 more weeks for getting to 10 pounds
The kitten will be at least 10 pounds after 5 weeks. Let's set up an equation to solve for the number of weeks needed for the kitten to reach at least 10 pounds.
Let "w" represent the number of weeks.
The weight of the kitten after "w" weeks can be calculated as:
Weight = Initial weight + (Weight gained per week * Number of weeks)
Weight = 7 + (0.6 * w)
We want to find the number of weeks when the weight is at least 10 pounds:Weight ≥ 10
Substituting the equation for weight:
7 + (0.6 * w) ≥ 10
Subtracting 7 from both sides:
0.6 * w ≥ 3
Dividing both sides by 0.6:
w ≥ 3 / 0.6
w ≥ 5
Therefore, the kitten will be at least 10 pounds after 5 weeks.
To know more about kitten:
https://brainly.com/question/29277335
#SPJ2
HELP I WILL MARK YOU GOOD
Answers
Answer:
You have a 2/3 chance
Answer:
2/3
Step-by-step explanation:
when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.
so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.