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Andreas93 [3]
3 years ago
10

Thank you for helping me so much I appreciate you a lot

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

Answers bolded below

Step-by-step explanation:

PAGE 1

20.) 142 + 24 + 2x - 50 = 180 (collect like terms)

116 + 2x = 180 (subtract 116 on both sides)

2x = 64 (divide by 2x on both sides)

x = 32

21.)  40 + 80 + 5m = 180 (collect L.T.'s)

120 + 5m = 180 (subtract 120 on both sides)

5m = 60 (divide by 5 on both sides)

m = 12

PAGE 2

10.) <T

11.) CA

12.) ^CAB

13.) UV

14.) m<A = m<T = 66

15.)  B, C, A

PAGE 3

16.) ^BAD = ^DCB

17.) ^GFH = ^KJH

18.) x = 7 and y = 8

10x + 65 = 135

10x = 70

x = 7

4y - 4 = 28

4y = 32

y = 8

19.) b = 13 and n = 13

5b - 3 = 62

5b = 65

b = 13

4n - 4 = 48

4n = 52

n = 13

PAGE 4

1.) <A = <D, <B = <E, <C = <F

2.) AB = DE, CB = FE, FD = CA

3.) CAB = FDE, EFD = BCA, BAC = EDF

4.) m<P =105

5.) m<M = 45

6.) m<R = 30

7.) m<N = 30

8.) QR = MN

9.) LN = PR

Hope this helps ya!!

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Answer:

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Step-by-step explanation:

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Answer:

(3, 6)

Step-by-step explanation:

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3 years ago
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lyudmila [28]

Step-by-step explanation:

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3 years ago
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Caleb and Sarah are having a valentines party. They hay 3 1/2 pounds of candy to divide 14 goodie bags.How much candy will be in
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Answer:

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3 0
2 years ago
Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.
7 0
3 years ago
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