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Inga [223]
2 years ago
15

Determine whether it is possible to construct a triangle with angle measures 93°, 61°, and 26°.

Mathematics
2 answers:
lidiya [134]2 years ago
5 0

Answer:

Step-by-step explanation:

Find the sum of the angle measures. If it is 180, then triangle can be constructed.

If sum of the angles are more than or less than 180, triangle cannot be constructed

93 + 61 + 26 = 180

Sum of the angle measures is 180, so triangle can be constructed.

I am Lyosha [343]2 years ago
4 0

Answer:

YES, it is possible.

Step-by-step explanation:

A triangles angles must always add up to 180 degrees... 93 + 61 + 26 = 180!

Hope this helps ; )

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Solve A= a+b/2 for b
Neporo4naja [7]

Answer:

a=

1/0

Step-by-step explanation:

5 0
3 years ago
Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67
Goryan [66]

Answer:

<h2>One pound of the item will cost 4.74 bill</h2>

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a  change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

4 0
3 years ago
Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence
Alchen [17]

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In this problem, we have that the parameters are given as follows:

M = 3, z = 1.645, \sigma = 16.

Hence, solving for n, we find the sample size.

M = z\frac{\sigma}{\sqrt{n}}

3 = 1.645\frac{16}{\sqrt{n}}

3\sqrt{n} = 1.645 \times 16

\sqrt{n} = \frac{1.645 \times 16}{3}

(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2

n = 76.97

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0
2 years ago
How many solutions does the system of equations have?
statuscvo [17]
5x - 20y = 60...reduce by dividing by 5
x - 4y = 12
this is the same as the other equation....therefore, it is the same line...meaning infinite solutions
=============
y - 7x = -14
y = 7x - 14.....slope = 7, y int = -14

7y - 49x = -2
7y = 49x - 2
y = 7x - 2/7.....slope is 7, y int is -2/7

if the slopes are the same, but the y int are different, then u have a parallel lines with no solutions
5 0
3 years ago
What is the answer to: 5+7*3/5+8
diamong [38]

Answer:

86/5 or 17.2

Step-by-step explanation:

5 + 21/5 + 8

46/5 + 8

86/5 or 17.2

3 0
3 years ago
Read 2 more answers
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