51 / 3 = 17
the middle number is 17
15 + 17 + 19 = 51
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
The answer is 735 J
<span>A work (W) is a product of a force (F) and a
distance (d):
W = F · d
</span>
W = ?
F = 245N
d = 3m
W = 245N * 3m
W = 735 J
Answer:
A) 
B) T = -5 °C
Step-by-step explanation:
A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:
B) In order to simplify the expression, simply perform the division.
This means that the temperature has dropped by 5 degrees each week.
Applying the same-side interior angles theorem,
7. m∠4 = 50°; m∠5 = 130°
8. m∠2 = 15°; m∠8 = 15°.
<h3>What is the Same-Side Interior Angles Theorem?</h3>
The same-side interior angles theorem holds that, two interior angles on a side of a transversal are supplementary, that is they add up to 180 degrees.
<h3>What is the
Alternate Exterior Angles Theorem?</h3>
According to the alternate exterior angles theorem, exterior angles that alternate each other along a transversal are congruent, that is they have equal measures.
7. m∠4 + m∠5 = 180 [same-side interior angles theorem]
Substitute
y + 2y + 30 = 180
3y + 30 = 180
3y = 180 - 30
3y = 150
y = 50
m∠4 = y = 50°
m∠5 = 2y + 30 = 2(50) + 30
m∠5 = 130°
8. m∠2 = m∠8 [alternate exterior angles theorem]
Substitute
x - 30 = 3x - 120
x - 3x = 30 - 120
-2x = -90
x = 45
m∠2 = x - 30 = 45 - 30 = 15°
m∠8 = 3x - 120 = 3(45) - 120 = 15°
Learn more about the same-side interior angles theorem on:
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