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Luden [163]
3 years ago
9

A triangle has 3 angles and one has 35 degrees and the other has 35 degrees and 90 degrees. There is also a wide angle next to t

he triangle
. How many degrees?
Thank you
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0
Since the triangle is isosceles, (it has 2 equal angles). We can easily figure out what the outside angles are because they are the same. When finding an outside angle, you subtract the inside angle next to it by 180 degrees for your answer.

180- 35= 145 degrees

The outside angles are equal to 145 degrees.

I hope this helps!
~kaikers
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Mrs. Jurrens bought three shirts and one pair of pants. Each shirt cost $7.99, and the pair of pants cost $12. What was her tota
sergeinik [125]
$35.97 should Be your answer
5 0
3 years ago
For party decorations, you buy 6 rolls of crepe paper and 20 balloons for $11.90. After you start decorating, you determine that
Morgarella [4.7K]

Answer:

Find out the  how much did each roll of crepe paper cost .

To prove

Let us assume that the cost of the  roll of crepe paper be x.

Let us assume that the cost of the balloon be y .

As given

For party decorations, you buy 6 rolls of crepe paper and 20 balloons for $11.90.

Than the equation becomes

6x + 20y = 11.90

As given

After you start decorating, you determine that you need more party decorations.

You buy 2 more rolls of crepe paper and 15 more balloons for $6.05.

Than the equation becomes

2x + 15y = 6.05

Than two equations are

6x + 20y = 11.90 and 2x + 15y = 6.05

Multiply 2x + 15y = 6.05 by 3 and subracted with 6x + 20y = 11.90

6x - 6x + 45y -20y = 18.15 - 11.90

25y = 6.25

y = \frac{6.25}{25}

y = $0.25

Put in the equation 2x + 15y = 6.05

2x + 15 × 0.25 = 6.05

2x = 6.05 - 3.75

2x = 2.3

x = \frac{2.3}{2}

x = $1.15

Therefore the each roll of crepe paper cost is  $1.15 .

6 0
3 years ago
Read 2 more answers
The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by World One Research, included the question, "H
LenaWriter [7]

Answer:

A 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

Step-by-step explanation:

We are given that x is normally distributed with a known standard deviation of 12.6.

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample average mean response = 9 hours

            \sigma  = population standard deviation = 12.6

            n = sample of legal professionals = 250

            \mu = mean number of hours a legal professional works

<em>Here for constructing a 95% confidence interval we have used One-sample z-test statistics as we know about population standard deviation.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                   of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < -1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                                       = [ 9-1.96 \times {\frac{12.6}{\sqrt{250} } } , 9+1.96 \times {\frac{12.6}{\sqrt{250} } } ]

                                       = [7.44 hours, 10.56 hours]

Therefore, a 95% confidence interval estimate of the mean number of hours a legal professional works on a typical workday is [7.44 hours, 10.56 hours].

5 0
2 years ago
What is the number that is least whole number and has three different factors?
alisha [4.7K]
Methodically:

1 = 1*1 = 1 factor
2 = 1*2 = 2 factors
3 = 1*3 = 2 factors
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Therefore, 4 is the lowest number with 3 different factors
4 0
3 years ago
TODAY
yKpoI14uk [10]

Answer:77

Step-by-step explanation:

3 0
3 years ago
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