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blsea [12.9K]
3 years ago
10

Can you help me solve this problem & write my answer in simplest radical form.

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

18

Step-by-step explanation:

30-60-90 triangles have a set of x values that you can plug your numbers into.

we know that the side length opposite to 30 is x

the side length opposite to 60 is xsqrt3

the side length opposite to 90 is 2x

from this we can gather that y=2x where x=9 therefore y=18

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M is between L and N. If LN = 91 and LM = 23, find MN.
Tasya [4]

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

8 0
3 years ago
Diane and Douglas both drive at an average rate of 50 miles per hour. Diane travels 20 miles further than douglas. Diane drives
Roman55 [17]

so if diane drives for 2 hours, she travels about 100 miles. if she drives for 4 hours, she drives about 200 miles. if we subtract 20 from each of these, we get 80 and 180. the answer is A.

5 0
3 years ago
Read 2 more answers
Last year, 210 middle school students
Anit [1.1K]

Answer:

8%

Step-by-step explanation:

let,

this year population of students (pt)= 195

last year population of students (p)= 210

time(t)= 1 year

Population Change( R)= ?

we have,

pt= p( 1 - R/100)^t

195 = 210 ( 1 - R/100)^1

0.92= 1 - R/100

0.92-1= R/100

- 0.08 = - R/100

R= 0.08×100

R= 8%

5 0
3 years ago
I need this answer confirmed quick!
Brums [2.3K]

Answer:

x = 59

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 3 + x + x = 180

3x + 3 = 180 ( subtract 3 from both sides )

3x = 177 ( divide both sides by 3 )

x = 59


3 0
3 years ago
Read 2 more answers
Please do the agree or disagree part and justification
Jlenok [28]

Answer:

<em>We disagree with Zach and Delia and agree with Alicia</em>

Step-by-step explanation:

The domain of a function is the set of values of the independent variable that the function can take according to given rules or restrictions.

The range is the set of values the dependent variable can take for every possible value of the domain.

The graph shows a continuous line representing the values of the function. We must take a careful look to the values of x (horizontal axis) where the function exists. It can be done by drawing an imaginary vertical line passing through the value of x. If that line touches the graph of the function, it belongs to the domain. It's clear that every value of x between -5 and 3 (both inclusive because there are solid dots in the extremes) belong to the domain:

Domain: -5\leq x \leq 3

The range is obtained in a similar way as the domain, but the imaginary lines must be horizontal. That gives us the values of y range from -7 to 5 both inclusive:

Range:

-7\leq y \leq 5

Thus we disagree with Zach and Delia and agree with Alicia

8 0
3 years ago
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