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Nadya [2.5K]
3 years ago
11

in triangle abc, angle b is 10 degrees greater than angle a. Angle c is twice as much as angle A. what's the measure of each ang

le?
Mathematics
1 answer:
yuradex [85]3 years ago
6 0
The sum of the angles of a triangle is 180 degrees.
a + b + c = 180.
a + (a+10) + 2a = 180
3a + 10 = 180
3a + 10 - 10 = 180 - 10
3a = 170
a = 42.5 degrees
b= 52.5 degrees and c = 85 degrees.
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Write an equation in point-slope form for the line that passes through each point with the given slope (-1,-2) m= 3
Vedmedyk [2.9K]

Answer:

<h2>           y + 2 = 3(x + 1)</h2>

Step-by-step explanation:

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = 3

x₁ = -1

y₁ = -2

Therefore the equation:

                                      y - (-2) = 3(x - (-1))

<h3>                                   y + 2 = 3(x + 1)</h3>
7 0
3 years ago
The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,
shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

m=\frac{100}{0.01}=10000

Now, calculating the coefficient b (y-intercept), we have:

\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}

So the equation is:

y=10000x

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0
1 year ago
There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-fa
bogdanovich [222]

Answer:

9+9=1-6+9=890 so the awnser would be 8947

6 0
3 years ago
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An SRS of size 20 is drawn from a population that has a normal distribution. The sample has a mean of 122.5 and a standard devia
Tems11 [23]

Answer:

The value is  \sigma_{\= x} = 1.789

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  20  

    The sample mean is \= x = 122.5

    The standard deviation is  s =  8

Generally the standard error of the mean is mathematically represented as

       \sigma_{\= x} =  \frac{s}{\sqrt{n} }

=>    \sigma_{\= x} =  \frac{8}{\sqrt{20 } }

=>    \sigma_{\= x} = 1.789

8 0
3 years ago
There are 2125 seats in a stadium the stadium is divided into 25 sections how many seats are in each section
Fofino [41]
There are 85 seats in each section. 2125 divided by 25 is 85.
4 0
3 years ago
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