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horrorfan [7]
2 years ago
10

Which angle is congruent to B

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
3 0
I think it’s angle D because it’s an alternate interior angle with angle B
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Below are tabulated a number of Rockwell G hardness values that were measured on a single steel specimen. Compute
Mashcka [7]

Answer:

a) 48.408

b) 1.235

Step-by-step explanation:

a)

The average hardness value xbar can be computed as

xbar=sum of values/number of values

xbar=(46.5+46.9+49.4+50.3+49.8+48.8+47+47.7+48.3+49.4+47.8+49)/12

xbar=580.9/12

xbar=48.408 (rounded to 3 decimal places).

The average hardness value is 48.408.

b)

The standard deviation hardness value s can be computed as

s=\sqrt{\frac{sum(x-xbar)^2}{n-1} }

x              x-xbar  (x-xbar) ²

46.5  -1.90833 3.64174

46.9  -1.50833 2.27507

49.4    0.99167 0.98340

50.3     1.89167 3.57840

49.8     1.39167 1.93674

48.8    0.39167 0.15340

47.0           -1.40833 1.98340

47.7   -0.70833 0.50174

48.3           -0.10833 0.01174

49.4    0.99167  0.98340

47.8           -0.60833 0.37007

49.0    0.59167 0.35007

Total                               16.7692

s=\sqrt{\frac{16.7692}{12-1} }

s=\sqrt{\frac{16.7692}{11} }

s=\sqrt{1.5245}

s=1.2347

s=1.235 (rounded to 3 decimal places)

The standard deviation hardness value is 1.235.

4 0
3 years ago
The diagram show a 5cm x 6cm x 7cm cuboid pls help you
kotegsom [21]

Answer:

d ≈ 10.5

Step-by-step explanation:

The formula for the diagonal of a retangular prism (cuboid) is

d=\sqrt{l^2+w^2+h^2}

1.) Plug in all the values for l, w, and h

d=\sqrt{5^2+6^2+7^2}

2.) simplify by squaring the terms inside the square root

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

d=\sqrt{25+36+49}

3.) Add the terms

d=\sqrt{110}

4.) Simplify

d = 10.488

5.) Round to one decimal place

d ≈ 10.5

5 0
3 years ago
PLEASE HELP Which was a belief of the early Democratic-Republican Party? The United States should have a conservative foreign po
Studentka2010 [4]

Answer:

C. Should not have a bank

6 0
3 years ago
Write an equation, in slope-intercept form, that passes through the point (−4, −3) and has a slope of 3.
jek_recluse [69]

Answer:

Step-by-step explanation:

eq of a line through (x1,y1) and slope m is

y-y1=m(x-x11)

y+3=3(x+4)

y+3=3x+12

y=3x+12-3

y=3x+9

3 0
2 years ago
5. Choose the likelihood of a probability of 50 percent.
telo118 [61]

Answer:

well, highly likely. it will always fall on a monday,

Step-by-step explanation:

if you look at all of the years it has fallen on since 2010 you will see it has  always fallen on monday.

3 0
2 years ago
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