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Mathematics

1 answer:

oee [108]4 years ago

5 0

Answer:

a) 2 -2 -4 -4 -2 2 8

b) graph B

c) x = -2.55 or x=1.55

Step-by-step explanation:

a) just fill in the x values

b) look at x=0, you'll find y=-4. Only graph B goes through (0, -4)

c) estimate where graph B passes through the x axis.

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If ADAB ACBA, ZDAB = 35° and ZCBA = 8x + 3 A D x = [?] X C B

bekas [8.4K]

Answer:

x=4

Step-by-step explanation:

We are given that the triangles are congruent.

Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.

Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.

$m\angle DAB=m\angle CBA\\(35)=(8x+3)\\(35)-3=(8x+3\!\!\!\!\!\!\!\!\!\!{--})-3 \!\!\!\!\!\!\!\!\!\! {--}\\32=8x\\\dfrac {32}{8}=\dfrac {8x\!\!\!\!\!\!\! {-}}{8\!\!\!\! {-}}\\4=x$