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o-na [289]
3 years ago
7

What's the answer to this math picture please?

Mathematics
1 answer:
professor190 [17]3 years ago
3 0

Answer:

m<BGC = 145°

Step-by-step explanation:

<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:

m<AGC = m<DGB

3x + 20 = 8x - 5 (substitution)

Collect like terms

3x - 8x = -20 - 5

-5x = -25

Divide both sides by -5

x = 5

m<BGC = 180 - (m<AGC) (linear pair)

m<BGC = 180 - (3x + 20)

Plug in the value of x

m<BGC = 180 - (3(5) + 20) = 180 - 35

m<BGC = 145°

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\large{ \tt{ -  \: HEY  \: AH~\:♡ }}

\large{ \tt{✺ \: SOLUTION}} :

  • Provided : Total sold bakery items : 3028 coffee buns and blueberry buns & 1560 more coffee buns were sold than the blueberry buns.

  • To find : Number of coffee buns the bakery sold

- First , Subtract 1560 from 3028 :

\large{ \tt{→ \: 3028 - 1560 = 1468}}

We just subtacted the number of more coffee buns from the number of told items sold which means that the number of coffee buns and the number of blueberry buns sold are equal for now. Now divide 1428 by 2 :

\large{ \tt{→ \frac{1428}{2} = 734 }}

Now - Let's get back to the second sentence of the question and add 734 & 1560 :

\large{ \tt{→ \: 734 + 1560 =  \large{ \boxed{2294}}}}

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- Hope this helps , oneesan! ;)

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