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kobusy [5.1K]
3 years ago
12

What is the measurement of ∠BAC and ∠ABC? Explain your process of solving.

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

<BAC = 78

<ABC = 68

Step-by-step explanation:

The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,

<BAC + <ABC = <ACD

Substitute,

(5y + 3) + (4y + 8) = (146)

Simplify,

9y + 11 = 146

Inverse operations,

9y + 11 = 146

     -11     -11

9y = 135

/9      /9

y = 15

Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),

<BAC = 5y + 3

5(15) + 3

78

<ABC = 4y + 8

4(15) + 8

68

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Answer:

-4(7 + 3a) - 6a(4a - 5) = <em><u>−24</u></em>x^{2}<em><u>+18a−28</u></em>

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1) What is 20% of 20?<br> 2) what is 15 is what percent of 30?<br> 3) 50 is 50% of what?
N76 [4]

Hi there!

The word "of" is the same thing as a multiplication sign.

1)

20% = 0.2

0.2 × 20 = 4


2)

? × 30 = 15

divide each side of the equation by 30

? = 0.5

0.5 = 50%


3)

50% = 0.5

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divide each side of the equation by 0.5

? = 100


There you go! I really hope this helped, if there's anything just let me know! :)

7 0
3 years ago
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For n = 3, what are the possible sublevels?
PilotLPTM [1.2K]
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There are four sublevels that are s, p, d and f. In s subshell or sublevel there is 1 orbital, in p sublevel there is 3 orbitals, in d sublevel there is 5 orbitals and in d sublevel there is 7 orbitals. 
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3 0
3 years ago
Help me ASAP for this question
ivann1987 [24]

Answer: Y= 2x

Step-by-step explanation:

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3.4 x 2 = 6.8

5 x 2 = 10

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So. Y = 2x

4 0
3 years ago
I need help I try Photomath I didn’t help me .
kaheart [24]

Answer:

8. 8.80

9. 90

Step-by-step explanation:

Question 8: Use the Pythagorean formula

DE² = DF²+EF²

EF² = DE² - DF²

= 16.2² - 13.6²

= 77.48

EF = √77.48 = 8.80  (Answer)

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= 60² + 42² - 2·60·42·Cos 123

= 3600 +1764 - (-2744.98)

= 8108.98

GI = √8108.98 = 90

4 0
3 years ago
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