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monitta
3 years ago
14

A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on t

he left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 25 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 60 degrees. What is the measure of angle x?
Mathematics
2 answers:
andrezito [222]3 years ago
5 0

Answer:45º

Step-by-step explanation:

Anni [7]3 years ago
4 0
SInce you have parallel lines cut by a transversal, alternate interior angle are congruent.
The 60 degree angle and the (x + 25) degree angle are congruent.
Therefore, 60 - 25 = 35
x = 35 

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STEPS:
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4 0
3 years ago
A party cap is in the form of a frustum. The radii of its ends are 10cm and 30 cm. The volume of the cap is 9100. What is the he
Vsevolod [243]

Answer:

4.46cm

Step-by-step explanation:

Volume of a frustum is expressed as;

V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))

h is the height of the frustum

r₁ and r₂ are the radii of its ends

V is the volume

Given

V = 9100cm₃

r₁ = 10cm

r₂ = 30cm

Substitute

9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))

9100 = 1/2(3.14)*h*(100+900+300)

9100 = 1.57*h*(1300)

9100 = 2,041h

h = 9100/2,041

h = 4.46cm

Hence the height of the cap is 4.46cm

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