Answer:67 and 1
Step-by-step explanation:
The answer:
we observe that <span>m∠DBC = 130°
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we should find the value of </span>mEDB to answer this question
Angle ABC is a straight angle, so m ABC= 180°, but
mABD + <span>m∠DBC = 180° (look at the figure)
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so mABD= 180° - m∠DBC = 180 - 130 = 50°
therefore, mABD= 50°,
and BE bisects ∠ABD imiplies mEBA = mEDB, and mABD= mEBA + mEDB= 50°, it does mean 2x mEBA = 50°
and from where mEBA = 50°/2=25°
Answer:
If the gift card is $30 the remaining change is 3 dollars
(x² + 4x - 45)/(x² + 10x + 9)
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Numerator = N = x² + 4x - 45 </span>
= x² + 9x - 5x - 45
= (x² + 9x) - (5x + 45)
= x(x + 9) - 5(x + 9)
= (x + 9)(x - 5)
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Denominator = D = x² + 10x + 9 </span>
= x² + x + 9x + 9
= (x² + x) + (9x + 9)
= x(x + 1) + 9(x + 1)
= (x + 1)(x + 9)
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Hence, the given expr. = N/D </span>
= {(x + 9)(x - 5)}/{(x + 1)(x + 9)
= (x - 5)/(x + 1)
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Restrictions : x ≠ - 1, x = 5 </span>
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