1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Musya8 [376]
3 years ago
5

The midsegment through the legs of an isosceles triangle is 4 in. Find the sides of the triangle if its perimeter is 20 in. 75 p

oints
Mathematics
2 answers:
tigry1 [53]3 years ago
8 0

mid-segment - mid-point on the two sides

smaller triangle w/ mid-segment is similar to the original triangle

the third side of original triangle=mid-segment *2/1

=8

two sides + third side=perimeter=20

two sides=20-8=12

each of the two equal sides=6"


Pani-rosa [81]3 years ago
4 0

The midsegment is half the length of the base. So the base = 2*4 = 8 in.

Since it is an isosceles triangle, the other two sides are equal in length.

Perimeter = sum of two equal sides + base = 20 in.

2x equal side + 8 = 20

equal side = 12/2 = 6

Each of the equal sides = 6"


You might be interested in
Correct answers only please!
MrRissso [65]

Answer:

23.6°

Step-by-step explanation:

In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

-------------------------------------------------------------------------------------------------------

10 = Hypotenuse

4 = Opposite

-------------------------------------------------------------------------------------------------------

We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values to find the value of angle XVW

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 4 ÷ 10

The value of angle XVW is 23.57817848

6 0
2 years ago
Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4
slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 48, \sigma = 4.

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when Z = -1.96. So

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 48}{4}

X - 48 = -1.96*4

X = 40.16

Upper Limit

Z has a pvalue of 0.975 when Z = 1.96. So

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 48}{4}

X - 48 = 1.96*4

X = 55.84

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0
3 years ago
A line is shown in the graph below.
kondaur [170]

Answer:

-2/3

Step-by-step explanation:

This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. This is why any line that is perpendicular to this line would have slope -2 /1 = -2.

8 0
3 years ago
-6-7(c+10)<br><br> A. 64-7c<br> B. -76-7C<br> C. 4-13C<br> D. -16-13c<br><br> Help?
Maurinko [17]

Answer:

B. -76-7C

Step-by-step explanation:

-6-7(c+10)

Distribute the 7

-6-7c-70

Combine like terms

-7c-76

6 0
2 years ago
Given the set of data: 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25 Determine the quartiles.
worty [1.4K]

Answer:

Lower quartile= 4.75

Middle quartile= 9.5

Upper quartile= 14.25

Step-by-step explanation:

The given date set is 24, 43, 65, 12, 31, 78, 43, 24, 25, 18, 29, 53, 18, 23, 20, 43, 53, 25

On counting them we notice that it's number of element is 18

So N = 18

Arranging them in ascending order gives

12,18,18,20,23,24,24,25,25,29,31,43,43,43,53,53,65,78

Lower quartile= (N+1)*1/4

Lower quartile= (18+1)/4

Lower quartile= 19/4

Lower quartile= 4.75

Middle quartile= (N+1)*2/4

Middle quartile= (18+1)*2/4

Middle quartile= (19)*2/4

Middle quartile= 9.5

Upper quartile= (N+1)*3/4

Upper quartile= (18+1)*3/4

Upper quartile= (19)*3/4

Upper quartile= 14.25

Inter quartile range = upper quartile- minutes lower quartile

= 14.25-4.75

= 9.5

4 0
2 years ago
Other questions:
  • In a game, the two players scored a total of 121 points. One player had 13 more points than the other player. How many points di
    7·1 answer
  • What is 5(4+8c) Need Help
    13·1 answer
  • What is the complete factorization of the quadratic expression 4×^2+8×-60
    12·1 answer
  • A number is more than 9 units from 3.
    10·2 answers
  • Someone help me please :)
    9·2 answers
  • I really need help please dont put a crazy answer for points I NEED HELP! WILL MARK BRAINLIEST!!! If Pam works more than 40 hour
    13·1 answer
  • A social psychologist predicted that ratings of an individual’s social desirability would be influenced by their physical attrac
    14·1 answer
  • A triangle has side lengths of 23 in, 19 in, and 37 in
    13·1 answer
  • How much is: 4(2c+3) =28
    12·2 answers
  • A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!