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vesna_86 [32]
3 years ago
14

Please help on math hw will mark brainliest

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

∠ACB 107°

Step-by-step explanation:

1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.

2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°

3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.

4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°

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Serggg [28]

Answer:

\boxed{\sf \huge \boxed{ \sf ?} = 6}

Step-by-step explanation:

\sf Solve  \: for \: \boxed{ \sf ?} :  \\  \sf \implies \frac{\boxed{ \sf ?}}{5}  \times  \frac{10}{8}  = 1.5 \\  \\  \sf  \implies \frac{\boxed{ \sf ?} \times 10}{5 \times 8}  = 1.5 \\  \\  \sf \frac{10}{5}  =  \frac{ \cancel{5} \times 2}{ \cancel{5}}  = 2 :  \\  \sf \implies  \frac{ \boxed{ \sf 2} \times \boxed{ \sf ?} }{8}  = 1.5 \\  \\  \sf \frac{2}{8}  =  \frac{ \cancel{2}}{ \cancel{2}  \times 4}  =  \frac{1}{4}  :  \\  \sf \implies \frac{\boxed{ \sf ?}}{ \boxed{ \sf 4}}  = 1.5 \\  \\  \sf Multiply  \: both  \: sides \:  of \:  \frac{\boxed{ \sf ?}}{4}  = 1.5 \: by \: 4 :  \\  \sf \implies \frac{4 \times \boxed{ \sf ?}}{4}  = 4 \times 1.5 \\  \\  \sf \frac{4 \times \boxed{ \sf ?}}{4} =  \frac{ \cancel{4}}{ \cancel{4}}  \times \boxed{ \sf ?} = \boxed{ \sf ?} :  \\  \sf  \implies \boxed{\boxed{ \sf ?}} = 4 \times 1.5 \\  \\  \sf 4 \times 1.5 = 6 :  \\  \sf \implies \boxed{ \sf ?} = 6

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Answer:

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Step-by-step explanation:

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