UR = 1/2(72+59)
UR = 1/2(131)
UR = 65.5
answer. D 65.5 cm
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mid-segment = UR
answer is D
Answer:
164
Step-by-step explanation:
2x+7+5x+12=180
7x+19=180
7x+180-19
7x=171
---- ----
7 7
x=164
Complete Question
Two geometrically similar jugs have volumes of 1000 cm³and 512 cm³.They have circular bases. The diameter of the base of the larger jug is 9 cm.
Calculate the diameter of the smaller jug.
Answer:
7.2 cm
Step-by-step explanation:
To solve the above question,we have the proportion
Smaller volume/ Larger volume = (Smaller diameter/ Larger diameter)³
We are to find the smaller diameter
Hence our formula is give as
Cube root(Smaller volume/ Larger volume)= Smaller diameter/ Larger diameter
=cube root( 512/1000) = x/9
= 8/10 = x/9
Cross Multiply
10x = 8 × 9
10x = 72
x = 72/10
x = 7.2cm
Therefore, the diameter of the second jug is 7.2 cm
10,000 dollars is the answer
Picture relating to the question can be found in the picture attached below.
Answer:
Angle DCA = Angle CAB
Angle A + Angle B + Angle C = 180°
18 + 3x + 3x = 180
27°
Step-by-step explanation:
For 1:
Angle DCA = Angle CAB (Alternate angles are equal)
Angle DCA = 18°, Hence, CAB = 18°
2)
Angle A + Angle B + Angle C = 180° (sum of interior angles in a triangle)
3.)
Angle A = 18°
Angle B = 3x
Angle C = 3x
18° + 3x + 3x = 180°
4.)
18 + 3x + 3x = 180
18 + 6x = 180
6x = 180 - 18
6x = 162
x = 162 / 6
x = 27°