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Tju [1.3M]
3 years ago
14

I need help solving problem 11.

Mathematics
1 answer:
Lunna [17]3 years ago
4 0
Since triangle ABC is isosceles, then angles 1 and 9 are congruent.

4x + 3 = 9x - 47

-5x = -50

x = 10

m<1 = 4x + 3 = 40 + 3 = 43

m<1 = m<9 = 43

Triangle DBE is equilateral, so it is also equiangular.

m< 4 = m<5 = m<6 =60

Angles 3 and 8 are supplementary to congruent angles that measure 60 deg, so 180 - 60 = 120, so

m<3 = m<8 = 120

For angles 2 and 7, use the sum of the measures of the angles of a triangle is 180 deg.

m<1 + m<2 + m<3 = 180

43 + m<2 + 120 = 180

m<2 + 163 = 180

m<2 = 17

m<2 = m<7 = 17
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X2 − 6x + 8 &gt; 0 solve
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Hello :

x²- 6x + 8 = x² - 2(3)(x) +8

                = (x² -2(3)(x) +9) - 9 + 8

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               = (x - 3 + 1 ) (x - 3 - 1 )

x²- 6x + 8 = (x - 2 ) ( x - 4 )

x      - ∞             2             4              + ∞

ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ

x - 2       --------    0   +++++   +++++++

x - 4      ---------          --------  0  +++++

(x - 2 ) ( x - 4 )  +++ 0 ------ 0 ++++++  

x2 − 6x + 8 > 0   the solution in :  ]-∞:2[ U   ]4;+∞[


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3 years ago
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8_murik_8 [283]

Answer:

Step-by-step explanation:

Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1

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