In triangle ABC , M and N are midpoints of sides. If MN = 2x + 5 and BC = x2 − 2, find the possible lengths for MN.
A. 17
B. 6 and 2
C. 1 and 17
D. 2 and 34

In Triangle ABC , M And N Are Midpoints Of Sides. If MN = 2x + 5 And BC = X2 2, Find The Possible Lengths

Answers

Answer 1

Answer:

A.17

Step-by-step explanation:

Answer 2

The possible lengths for MN are 17 and 1, so the correct answer is C. 1 and 17

How to get the lengths

Since MN = 2x + 5 and BC = x^2 − 2, we can write the equation

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

Solving for x, we get:

[tex]2x + 5 = (1/2)(x^2 - 2)[/tex]

[tex]4x + 10 = x^2 - 2[/tex]

0 = [tex]x^2- 4x-12[/tex]

0 = (x - 6)(x + 2)

This equation has two solutions: x = 6 and x = -2.

Substituting these values into the expression for MN, we find that MN can have two possible lengths:

MN = 2(6) + 5 = 17 or

MN = 2(-2) + 5 = 1.

Therefore, the possible lengths for MN are 17 and 1, so the correct answer is 17 and 1.

Read more on  triangle ABC here https://brainly.com/question/21105606

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Related Questions

Chloe has 85 floral beads. She uses 4 floral beads to make each bracelet. She makes as many bracelets as possible. How many floral beads will she have left?

Answers

Answer:

1 bead left over

Step-by-step explanation:

Hi!

With this it looks like you need to divide and also have a remainder.

So what I like to do is actually round down your total to an even number.

So in this case 85 would round down to the even number of 84.

Now she uses 4 per bracelet so you want to do :

84 / 4

=

21

Alright so now we have to remember we took one bead off to make the number even.

That would be one bead since 85 - 84 = 1

So she made 21 bracelets and had 1 bead left over.

I hope this helps!

If you have any questions or concerns feel free to comment or message me! :)

In a shop, there were 4 times as many guppies as swordtails. After 23 guppies and 27 swordtails were added, there were 83 more guppies than swordtails. What was the total number of fish in the shop at first?

Answers

Answer:

145

Step-by-step explanation:

Assume the number of sword tails is x. Then the number of guppies is 4x.

After 23 guppies and 27 swordtails were added. Then guppies = 4x+ 23

swordtails = x+27

According to the relation 83 more guppies than swordtails. We can obtain:

[tex]4x + 23 = x + 27 + 83[/tex]

4x-x= 27+83-23

3x=110-23

3x=87

x=29

There are 5x fish in total at first.

5x=5*29=145

so the number of fish in the shop at first is 145

Help plsssssssssssssssssssssss

Answers

Answer:

Okay, whats your question?

Step-by-step explanation:

Sandra has some nickels, dimes, and quarters which total $2.50. She has the same
number of nickels as quarters; however, she has twice the number of dimes as nickels.
How many of each type of coin does she have?

Answers

Answer:

5 nickels

10 dimes

5 quarters

Step-by-step explanation:

n = number of nickels

d = number of dimes

q = number of quarters

q = n

d = 2n

0.05n + 0.10d + 0.25q = 2.50

substitute

0.05n + 0.10(2n) + 0.25(n) = 2.50

0.05n + 0.20d + 0.25n = 2.50

0.50n = 2.50

n = 5

d = 10

q = 5

Directions: Find each product. Show your solution. .
1) 0.35 x 24 =
2) 0.59 x 29 =
3) 2.45 x 5 =
4) 0.84 x 3 =
5) 0.45 ~ 63=
6) 3.54 x 0.59=
7) 5.28 x 1.18 =
8) 4.37 x 0.58 =
9) 7,05 * 0.52 =
10) 2.36 x 1.28=
[tex]0.35 \times 24 = [/tex]

Answers

Answer:

.

1) 0.35 x 24 =8.4

2) 0.59 x 29 =17.11

3) 2.45 x 5 =12.25

4) 0.84 x 3 =2.52

5) 0.45 ×63=28.35

6) 3.54 x 0.59=2.0886

7) 5.28 x 1.18 =6.2304

8) 4.37 x 0.58 =2.5346

9) 7.05 * 0.52 =3.666

10) 2.36 x 1.28=3.0208

[tex]0.35 \times 24 = [/tex]=8.4

Answer:

1) 8.4

2) 17.11

3) 12.25

4) 2.52

5) 28.35 (if numbers are multiplied)

6) 2.0886

7) 6.2304

8) 2.5346

9) 3.666

10) 3.0208

helppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

3a + 2 = 2a + 7

a +2 = 7

a = 5

Answer:

I believe it's A.) [tex]\frac{9}{5}[/tex]

It can though, be C.) 5

I might be wrong about A.

precalc! 50 points! please someone help me i’ll do anything for you

Answers

Step-by-step explanation:

3. We know the x value which is -5 and the y value which is 1. We need to find the hypotenuse which we refer to the r. We use the pythagorean theorem for that

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] { - 5}^{2} + {1}^{2} = r {}^{2} [/tex]

[tex]25 + 1 = r {}^{2} [/tex]

[tex]26 = r {}^{2} [/tex]

[tex]r = \sqrt{26} [/tex]

Now let find the sin, csc, and tan.

To find sin let use the formula

[tex] \frac{y}{r} [/tex]

[tex] \frac{1}{ \sqrt{26} } [/tex]

Rationalize the denominator

[tex] \frac{1}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \frac{ \sqrt{26} }{26} [/tex]

[tex] \sin = \frac{ \sqrt{26} }{26} [/tex]

To find cosecant, it is the reciprocal of sin so it would be

[tex] \csc = \frac{26}{ \sqrt{26} } \times \frac{ \sqrt{26} }{ \sqrt{26} } = \sqrt{26} [/tex]

To find tan, do

[tex] \frac{y}{x} [/tex]

Which is simply

[tex] \tan= \frac{1}{ - 5} [/tex]

4. Kennedi is correct since in the 2nd quadrant

The x value is negative, and the y value is positive.

Since sin is referred in trig as the y value, sin must be positive.

Given m∥n, find the value of x.

Answers

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

8) Which of the Prime number are
even numbers?
C
a) 0 & 2
b) 1 & 2
c) 2
ОО
d) None​

Answers

Answer C is correct

A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2

Answers

I still haven't reached that exercise, sorry

what is 10cm × 20cm in inches​

Answers

Answer:

10cm x 20cm = 78.7402 inches

Step-by-step explanation:

10 x 20 is 200

200 cm is 78.7402 inches

Answer:

Step-by-step explanation:

HELP PLEASE!! Aspen Needs Help​

Answers

Answer: Choice A.   f(x) = sqrt(x-1)

===========================================

Explanation:

The parent function is y = sqrt(x) and the left-most edge of this curve is at (0,0).

The graph shows the left-most point at (1,0) instead.

This means we've shifted everything 1 unit to the right, or you can think of the xy axis being shifted 1 unit to the left while the square root curve stays still (giving the illusion the curve moves).

If we shifted the xy axis 1 unit to the left, then each input x becomes one smaller, so each input is now x-1

That's why we go from y = sqrt(x) to y = sqrt(x-1)  

You can use a graphing calculator to confirm this, or you can create a table of values to generate the points on this new blue curve.

Glven the value of cos 60° -0.5, enter the sine of a complementary angle. Use an
expression relating trigonometric ratios of complementary angles.
cOS 60º= ___ º ≈___

Answers

Answer:

-0.12

Step-by-step explanation:

60 divided -0.5= -0.12

Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)​

Answers

Answer:

80% increase

Step-by-step explanation:

There are two ways to do this

The first way is to set up a percent proportion

[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]

To find x, we can do:

x = [tex]\frac{72 * 100}{40}[/tex]

x = [tex]\frac{7200}{40}[/tex]

x = 180

72 is 180% of 40

There is an 80% increase.

The second way to do it (the way I find easier) is to use benchmark fractions:

We look at 40 and 72 and realize that (40 * 2) - 8 = 72

So 200% of 40 - 8 = 72

Then, we find out what percent of 40 is 8.

10% of 40 is 4

so that means 20% of 40 is 8 (10% * 2 = 4 * 2)

Then we do:

80 - 8 = 72

200% - 20% = 180%

72 = 180% of 40

Which is an 80% increase

Let me know if you have any questions



if (a+b)^2=10, if ab=-2 calculate a^2+b^2​

Answers

Answer:

a^2+b^2=(a+b)²-2ab=10-2×-2=10+4=14(here -×-=+)

if a Biro costs 12.50naira. How many biros can buy with 300 naira?​

Answers

Answer:

300\12.50

Step-by-step explanation:

that will be your answer bra

Andrea Drew the Number line below. She said that 9/8 and 1 equal. Explain Error

Answers

Answer:

Her error was that 1 and 9/8 are not equal. 9/8 is 1/8 larger than 1 is, and therefore can not be equivalent to 1.

On the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.

What is number line?

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

Given that, on the number line Andrea Drew marked 9/8 and 1 and she said  that they are equal.

Here, 9/8 =1.125

1.125>1

Therefore, on the number line 9/8 and 1 are not equal, since 9/8 =1.125 which is greater than 1.

Learn more about the number line here:

https://brainly.com/question/13425491.

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In which step did Viet make an error?

Answers

Answer:

Step 1

Step-by-step explanation:

When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.

A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?

Answers

Answer:

1

Step-by-step explanation:

find the angle of elevation from c to a

Answers

Answer:

32 Degrees

Step-by-step explanation:

Thank me later lol

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The vet surveys 120 three-year-old pit bulls and finds 30 of them have tooth decay. The vet then surveys 160 three-year-old golden retrievers and finds 32 of them have tooth decay. Number the population of pit bulls and golden retrievers by 1 and 2, respectively. Calculate a 90% confidence interval for the difference in the population proportion of pit bulls and golden retrievers that have tooth decay. Which of the following is correct?
A) [-0.0492, 0.1492]
B) [-0.0332, 0.1332]
C) [0.0199. 0.0801]
D) [0.0428, 0.0572]

Answers

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

[tex]p_{1}=\frac{30}{120}=0.25[/tex]

[tex]p_{2}=\frac{32}{160}=0.2[/tex]

Second, calculate standard deviation for each proportion:

[tex]\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395[/tex]

[tex]\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316[/tex]

Now, we calculate standard error for difference:

[tex]SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}[/tex]

[tex]SE=\sqrt{0.0395^{2}+0.0316^{2}}[/tex]

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

[tex]p_{1}-p_{2}[/tex] ± z-score.SE

[tex]0.25-0.2[/tex] ± [tex]1.645(0.0505)[/tex]

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = [tex]-0.0332[/tex]

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is [tex][-0.0332,0.1332][/tex].

The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?

Answers

Answer:

(-1, 2)

Step-by-step explanation:

Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.

Answers

Answer:

2

Step-by-step explanation:

The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.

First, find the change in y between the two points. To do this, do y2 - y1.

y2 = 6 and y1 = 2, so you have 6 - 2 = 4.

Next, find the change in x between the two points. To do this, do x2 - x1.

x2 = 5 and x1 = 3, so you have 5 - 3 = 2.

All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.

The last step is to do change in y divided by change in x, so 4 / 2 = 2.

This means that the slope of the line is 2.

1.) how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.

2.) Becky invest $2500 at an annual interest rate of 9%. How much is the investment worth after 10 years if the interest is compounded continuously.

3.) suppose $2000 is invested at 5.75% annual interest compounded continuously for 21 months. How much will the investment be worth at the end of 21 months.


Will mark as Brainlessly or whatever it’s called (if you take my points I will report) thank you so much:)

Answers

Answer:

$5809.17

$6149.01

$2211.72

Step-by-step explanation:

Continous interest formula:

(pv)e^(rt)

we have

5000e^(5*.03)= 5809.17

Same equation from before

2500e^(.09*10)= 6149.01

2000e^(.0575*(21/12))

(we write 21/12 because that's how many years has passed)

= 2211.72

The population of a town in 1920 was 3800 people. The town's population decreased linearly, and in 1924 the population was 3640. Find a formula for P , the town's population, in terms of t , the number of years since 1920.

Answers

Answer:

Your answer

P = 1.9 t

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Place the following Numbers in order -5.2, - 28/5 , 1 8/11 , 3/2

Answers

Hello!

So, I didn’t know if you wanted me to put them from (Least to Greatest) or (Greatest to Least).. So, I did both.

(LEAST TO GREATEST):

3/2, 1 8/11, -28/5, -5.2

________________________________

(GREATEST TO LEAST):

-5.2, -28/5, 1 8/11, 3/2

________________________________

There you go, I hope this helps! Have a great day/night and stay safe! :)

Just pick the one that you were suppose to find the answer for. :)

5 divided by 3670 equals

Answers

Answer:

.0013623978

Step-by-step explanation:

0.0013624

3670 can fit 0.0013624 times in 5

Elizabeth and McKenna are going to the county fair on free student admission night. Elizabeth and McKenna will be able to get in the fair for free however the fair charges $2 per ride. The girls want to know how many ride they can ride and how much will it cost them.WRITE AN EQUATION TO SHOW THE REALTIONSHIP between the independent and dependent variables?!?! ASAP I NEED ANSWER

Answers

Hi buddy I just got a call from you

find the sum of 3/4 and 5/7.​

Answers

Answer:

3/4 or in mixed number 1 13/28

Step-by-step explanation:

Find the unit rate is 120 apples are in 6 baskets. (Follow this example 3 bananas/ 1 bunch)need help with my homework 10 points

Answers

Answer:

120/6 = 20 apples unit rate

Step-by-step explanation:

please explain what else the question wants

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