I need help with this question.. Please

Mathematics

1 answer:

Dvinal [7]2 years ago

6 0

$\text{If}\ \triangle ABC\cong\triangle DE F, \text{then}\\\\m\angle A=m\angle D,\ m\angle B=m\angle E\ \text{and}\ m\angle C=m\angle F\\\\\text{Therefore we have the equation:}\\\\8x-1=87\qquad\text{add 1 to both sides}\\\\8x=88\qquad\text{divide both sides by 8}\\\\\boxed{x=11}\\\\\text{We know, the sum of measures of the angles in a triangle is 180}^o.\\\\\text{Therefore:}\\\\m\angle F=180^o-(42^o+87^o)\\\\m\angle F=180^o-129^o\\\\m\angle F=51^o\\\\\text{We have the equation:}$

$3y=51\qquad\text{divide both sides by 3}\\\\\boxed{y=17}\\\\Answer:\ \boxed{x=11\ and\ y=17}$

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If f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

marin [14]

Answer:

if you meant f(x) = (x - 1) /3 then f (g(x) ) = x

of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3

Step-by-step explanation:

f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

f ( g(x) ) = (3x + 1) - (1/3) = 3x + 2/3

if you meant f(x) = (x - 1) /3 then f (g(x) ) = x

of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3

3 0

3 years ago

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tia_tia [17]

Answer:

201.5x-y=-6

Step-by-step explanation:

−6x−2y=−1618x+6y=48

Collect like terms

-6x+1618x-2y-6y=-48

1612x-8y=-48

Divide through by 8

1612x/8-8y/8=-48/8

201.5x-y=-6

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3 years ago

Simplify the following Questions. (IMPORTANT NOTE!!! #'s 2 AND 7 MUST BE IN SCIENTIFIC NOTATION!!!!!) 1.) (x)²(2xy³)^5 2.) (4x10

poizon [28]

Answer:

Step-by-step explanation:

Hint :

$(a*b)^{m}= a^{m}b^{m}\\\\\\(a^{m})^{n}=a^{mn}\\\\\\a^{m}*a^{n}=a^{m+n}\\$

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