Answer:
C. m∠4 = m∠8
D. m∠2 = m∠7
Step-by-step explanation:
Here, we use the principles of alternate angles, corresponding angles and vertically opposite angles to confirm which of the statements are true. Alternate angles are always equal, corresponding angles are equal, likewise vertically opposite angles.
From the given question, it was given that a is parallel to b. Thus, it can be observed and deduced that;
m∠4 = m∠8 (corresponding angles)
and
m∠2 = m∠3 (vertically opposite angles)
m∠3 = m∠7 (corresponding angles)
So that,
m∠2 = m∠7
Thus in the question, statements C and D are true.
Step-by-step explanation:
The sum of the three angles in a triangle must be
. Since this triangle has a right angle, we know that it is
°, so the sum of the remaining two angles must be
.
We can set up an equation for the two remaining angles to determine the value of
:




Answer:
Part--1:
We know that a equation in point-slope form is represented by:
<em> y-y1=m</em>
<em />
where m is the slope of the line and is a point through which the line passes.
<em />
<em> </em>
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Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Meg claimed that absolute value of the number on her card is equals to 8 i.e.
Either she has a card which reads 8 or a card which reads -8 .
Absolute value is the magnitude card number irrespective of sign on it.
Thus there are two possible cards whose absolute value is 8 .
The answer is 15.
That's because the function rule is to apply 5 multiplied by whatever x is, and if x is 3, you do 5 multiplied by 3, which is 15.