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pychu [463]
3 years ago
5

Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFrac

tion x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?
Answers
A because both result in the equation 8 x = 400, which simplifies to x = 5
B because both result in the equation 8 x = 400, which simplifies to x = 50
C because both result in the equation 40 x = 80, which simplifies to x = 2
D because both result in the equation 40 x = 80, which simplifies to x = 20

PLEASE ANSWER FAST
Mathematics
2 answers:
BaLLatris [955]3 years ago
6 0

Answer:

Step-by-step explanation:

50

UkoKoshka [18]3 years ago
4 0
The answer is B x = 50
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Step-by-step explanation:

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If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
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Answer:

POSTULATE

Step-by-step explanation:

<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

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<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

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<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

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<em>  They are presumed true by most of the scholars in the field. </em>

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<em>Its contradiction goes against the very essence of the subject. </em>

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<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

<em>Therefore</em><em>, </em>

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<em>The Geometry term that represents the statement above is POSTULATE</em>

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What is the estimate quotient of 31.9/4
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8 0
3 years ago
the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
Anarel [89]

Answer:

The height of the pole is 167 m

Step-by-step explanation:

The given parameters are;

Increase  in the length of the shadow = 90 m

Initial angle of elevation of the Sun = 58°

Final angle of elevation of the Sun = 36°

We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase  in the length of the shadow  

We have by sin rule;

90/(sin (22°)  = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)

Let the initial ray from the top of the pole to the end of the shadow's length = l₁

90/(sin (22°)  = l₁/(sin(122°)

l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m

Therefore;

The height of the pole = 283.3 m × sin(36°) = 166.52 m

The height of the pole= 167 m to three significant figures.

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