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Ratio Given :
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AB : AC = 1 : 2
⇒ 2(3x - 4) = 2x + 12
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Solve for x :
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2(3x - 4) = 2x + 12
6x - 8 = 2x + 12
4x = 20
x = 5
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Find AC:
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AC = 2x + 12
AC = 2(5) + 12
AC = 22
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Find BC:
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BC = 7x - 2
BC = 7(5) - 2
BC = 33
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Find ratio :
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AC : BC
22 : 33
(÷11) (÷11)
2 : 3
Ratio of AC : BC = 2 : 3 (Shown)
Answer:
y = 48°
Step-by-step explanation:
angle A = 90°
interior angles of a triangle = 180°
therefore
y = 180 - 42 - 90
y = 48°
The full exercise is attached.
Since JKLM is the result of the rigid motion of ABCD, the two quadrilaterals are congruent, especially their angles.
Therefore:
∡A = ∡J = 82°
∡B = ∡K = 104°
∡C = ∡L = 121°
∡D = ∡M = ?
Recall that the sum of the measure of the angles of a quadrilateral is 360°, and you will find:
∡M = 360 - (∡J + ∡K + ∡L)
= 360 - (82 + 104 + 121)
= 53
Hence, ∠M is
53°.
w - width
2w + 5 - length
w + w + (2w + 5) + (2w + 5) = 6w + 10 - perimeter
34 cm - perimeter
The equation:
6w + 10 = 34 <em>subtract 10 from both sides</em>
6w = 24 <em>divide both sides by 6</em>
w = 4 cm
2w + 5 = 2(4) + 5 = 8 + 5 = 13 cm
<h3>Answer: Width = 4cm, Length = 13cm</h3>
Answer:
35.3 years
Step-by-step explanation:
Given :
In 1980 the median age of a resident of the united state was 30 years.
By 2000 the median age had increased 5.3 years.
Solution :
The median age the median age of a resident of the united state = 30 years
Since the median age had increased 5.3 years in 2000
Thus , the median age of a resident of the United States in year 2000 = 30+5.3 = 35.3 years
Hence the median age of a resident of the United States in year 2000=35.3 years