Answer:
From the graph attached, we know that 
by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like 
and 
.
We also know that, by definition of linear pair postulate, 
and are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.
They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that and together are 180°, because they are on a straight angle. That is, 
If we substitute for , we have 
, which means that and are also supplementary by definition.
B.1/6
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The value of x when the richter scale rating scale is 8.4 is 251188643.151
<h3>What is a richter scale?</h3>
A richter scale is a numerical scale that is used for expressing the magnitude of an earthquake in a geographical area
<h3>How the richter scale works?</h3>
The richter scale takes the amplitude of the earthquake's largest seismic as an input and calculate (and display) the magnitude of an earthquake in the geographical area using a logarithmic function
<h3>How to determine the value of x?</h3>
The formula of a richter scale is expressed as:
log(x) = n
Where n represents the scale rating of the scale
In this case, n = 8.4.
So, we have:
log(x) = 8.4
Express as an exponent
x = 10^8.4
Evaluate the exponent
x = 251188643.151
Hence, the value of x when the richter scale rating scale is 8.4 is 251188643.151
Read more about richter scale rating at
brainly.com/question/19799610
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The graph that represents the inequality has been shown in the attachment.
<h3>How to solve for the graph</h3>
We have these equations
y ≤ −3x + 1
y ≤ x + 3
We remove the inequality sign from both of these equations
y = −3x + 1
y = x + 3
−3x + 1 = x + 3
such that
x = -0.5
we use this value for x in any of the equations
x + 3 = -0.5 + 3
= 2.5
the point of intersection is at 2.5, -0.5
we test for the origin. 0,0
3x + 1
= 3*0 + 1
= 1
for x + 3
0+3 = 3
This is 0≤1 and 0≤3
Hence the graph should be shaded to the origin.
Read more on a graph here: brainly.com/question/14030149
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Let William be x years old.
Thomas = (4 + x) years
In five years,
William = (x + 5) years
Thomas = 4 + x + 5 = (9 + x) years
Given, in five years sum of their ages is 24.
x + 5 + 9 + x = 24
2x + 14 = 24
2x = 24 - 14
2x = 10
x =
x = 5
Hence, William is 5 years old and Thomas is 9 years old.
