Decimal form is 3.96811878
the answer is 6(2) - 2(4) + 5
answer: 9
<span>16 walls in 40 hours
3 walls in h hours
16/40 = 3/h
16h = 40(3)
16h = 120
h=120/16
h=7.5
answer: </span><span>3 walls in 7.5 hours</span>
9514 1404 393
Explanation:
(In order avoid issues with the Brainly censor, we're going to rename point F as point G in this answer. Wherever you see G, you can use F in your own response to this question.)
<u><em>General Approach</em></u>
The perpendicular lines tell you these are right triangles. There are a few ways to show right triangles are congruent, one of which is the "HL theorem." It requires you show the hypotenuse and one leg are congruent in the two triangles.
Here, the hypotenuses, DE and AG, are shown as congruent. All that remains is to show one leg is congruent. We have no information about legs BE and CG, but we do have information that will let us show legs AC and DB are congruent.
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<em><u>Proof</u></em>
1. DE ≅ AG, DC ≅ AB, GC⊥AC, EB⊥DB . . . . given
2. m∠EBD = 90°, m∠GCA = 90° . . . . definition of perpendicular lines
3. CD + CB = DB . . . . segment sum theorem
4. AB + CB = DB . . . . substitution property of equality (CD→AB)
5. AB +CB = AC . . . . segment sum theorem
6. DB = AC . . . . transitive property of equality
7. ΔACG ≅ ΔDBE . . . . HL theorem
Answer:
99.7%
Step-by-step explanation:
Bell shaped curve by empirical rule is that if the standard deviation from the mean (left to right) is 1 deviation then about 68% of the data is in that range if it’s 2 standard deviations away then it’s 95% and 3 deviations away is 99.7%
142-100=42=3(14)
100-58=42=3(14)
Therefore the data is three standard deviations from the mean and this there is 99.7% of the data in this range.