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vladimir1956 [14]
3 years ago
11

For the diagrams, find the following measures. X= DCB= ABC=

Mathematics
1 answer:
Tasya [4]3 years ago
8 0
To set this up you will set the two angles equal to 180° since it is a straight line
This will make the equation x+6x+19=180
Combine like terms. 7x+19=180.
Subtract 19 from both sides. This will make it 7x=161
Divide both sides by 7. That will make it x=23
Next plug in the x to solve for abc. 7(23)+19. This equals 157

X= 23

Hope this helped :)
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Please explain in steps!
iragen [17]

3. \:  {2 + 4^2} - 4+ 2 \\  = 2 + 16 - 4 + 2 \\  = 18 - 4 + 2 \\  = 14 + 2 \\  = 16 \\  \\ 4. \:  {84 + 7}^{2}  - 9 + 2 \\  = 91^{2}  - 9 + 2 \\  = 8281 - 9 + 2 \\  = 8272 + 2 \\  = 8274 \\  \\ 5. \: {5 ^{2}  + 7} + 5 - 6 \\  = 25 + 7 + 5 - 6 \\  = 32 + 5 - 6 \\  = 37 - 6 \\  = 31 \\  \\ 6. \: {4^{2}  + 7} + 4 - 10 \\  = 16 + 7 + 4 - 10 \\  = 23 + 4 - 10 \\  = 27 - 10 \\  = 17 \\  \\ 7. \: 2 - {4 + 2}^{2}  + 9 \\  = 2 - 6^{2}  + 9 \\  = 2 - 36 + 9 \\  =  - 34 + 9 \\  =  - 25 \\  \\ 8. \: 3 - {6 + 3}^{2}  + 9 \\  = 3 - 9^{2}  + 9 \\  = 3 - 81 + 9 \\  =  - 78 + 9 \\  =  - 69 \\  \\ 9. \: {42 + 7}^{2}  - 2 + 5 \\  = 49^{2}  - 2 + 5 \\  = 2401 - 2 + 5 \\  = 2399 + 5 \\  = 2404 \\ \\ 10. \: {2^{2}  + 5} \times 2 - 7 \\  = (4 + 5) \times 2 - 7 \\  = 9 \times 2 - 7 \\  = 18 - 7 \\  = 11 \\  \\ 11. \: 6 \times {66 + 11 - 5}^{2}  \\  = 6 \times 77 - 5^{2}  \\  = 6 \times 72^{2}  \\  = 6 \times 5184 \\  = 31104 \\  \\ 12. \: {78 + 13}^{2} - 8 + 5 \\  = 91^{2}   - 8 + 5 \\  = 8281 - 8 + 5 \\  = 8273 + 5 \\  = 8278

5 0
3 years ago
Emily has a box where she stores her toys, the box has a height of 24 inches, a length of 40 inches, and a width of 10 inches. W
emmainna [20.7K]

Answer:

2)

Step-by-step explanation:

Volume of box = length * width * height

                         = 40 * 10 * 24

                         = 9600 cubic inches

5 0
3 years ago
2x+5y=-21 , -2x+3y+-27
Elis [28]

Answer:

x=4.5 and y=  -6

Step-by-step explanation:

2x+5y= -21

-2x+3y= -27

add the two equations: 8y= -48

y=-48/8= -6

sub for y in 2x+5y= -21

2x + 5(-6)=-21, 2x-30= -21

2x= -21+30= 9

x= 9/2=4.5

8 0
3 years ago
What does the equation 5^ mean​
aliya0001 [1]

Answer:

this means that  there is an exponent missing EX{5^3

Step-by-step explanation:

4 0
3 years ago
Kenneth earns $450 for working 37 1/2 hours. If Kenneth works for 42 hours next week, how much will he earn. A.255.00. B.12.00.
iren2701 [21]

Answer:

Kenneth will earn about $ 504 the next week

Step-by-step explanation:

The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.

to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.

This is 450/ 37.5 = 12 dollars per hour.

Kenneth earns $12 per hour.

If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week

5 0
3 years ago
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