24 1/5 is equal to 24.2
Multiply 24.2 by 7.75
24.2* 7.75 = 187.55
So she made $187.55 before taxes
Answer:
(6 x - 1) + 1 over 6 &
6 ( x + 1 Over 6 ) - 1
Step-by-step explanation:
Edge2020
Answer:
0.12 ± 1.96 * √(0.12(0.88) / 100)
Step-by-step explanation:
Confidence interval :
Phat ± Zcritical * √(phat(1 -phat) / n)
Phat = 12/100 = 0.12
1 - phat = 0.88
Zcritical at 95% = 1.96
Hence, we have :
0.12 ± 1.96 * √(0.12(0.88) / 100)
0.12 ± 1.96 * 0.0324961
0.12 ± 0.0636924
Lower boundary = (0.12 - 0.0636924) = 0.0563
Upper boundary = 0.12 + 0.0636924 = 0.1837
Answer:
∠ACB≅∠CAD, Alternate Interior Angles Theorem
∠BAC≅∠DCA, Alternate Interior Angles Theorem
AC≅AC, Reflexive Property of Congruence
By A-S-A congruence, the △ABC≅△CDA.
Step-by-step explanation:
Given the figure:
We are given that:
Side BC || AD
Side AB || DC
Let us have a look at a few properties first.
Alternate Interior Angle Theorem: It states that when two parallel lines are cut by a line then the alternate angles which are on the interior side are equal to each other.
Reflexive Property of Congruence: It states that a side or angle is always congruent to itself.
Now, let us consider the triangles:
△ABC and △CDA.
Side BC || AD
Therefore,
<em>∠ACB≅∠CAD, Alternate Interior Angles Theorem</em>
Side AB || DC
Therefore,
<em>∠BAC≅∠DCA, Alternate Interior Angles Theorem</em>
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Also, Side AC is common.
AC≅AC, Reflexive Property of Congruence
Therefore, by <em>A-S-A congruence</em>, the △ABC≅△CDA.
