The kite is a quadrilateral that has two pairs of equal adjacent sides and
one of equal opposite angles.
5. The two column proof is presented as follows;
Statement Reason
= Given
≅ Definition of congruency
≅ By reflexive property
ΔABD ≅ ΔBDC By Side-Side-Side, SSS congruency postulate
∠ABC = ∠ABD + ∠CBD Angle addition postulate
∠ABD ≅ ∠CBD CPCTC
∠ABD = ∠CBD Definition of congruency
is a bisector of ∠ABC Definition of angle bisector
∠ADC = ∠ABD + ∠CBD Angle addition postulate
Therefore;
<u>is a bisector of ∠ADC </u><u> Definition of angle bisector</u>
CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent
6. The two column proof is presented as follows;
∠ABD ≅ ∠CBD CPCTC (question 5)
≅ Reflexive property
ΔABM ≅ ΔCBM According to Side-Angle-Side, SAS congruency rule
≅ CPCTC
= Definition of congruency
= + Segment addition postulate
= + = 2· Substitution property of equality
= 0.5· Division property of equality
M divides to two Definition
<u>M is midpoint of </u><u> </u><u> Definition of </u><u>midpoint</u>
Learn more here:
brainly.com/question/20644467
Step-by-step explanation:
thr standard form for a quadratic equation is:
ax²+bx+c
in this example, a=1, b=(-1), c=(-42)
Answer:
a part, share, or number considered in comparative relation to a whole.
Hope it helps u
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Answer: y = 8*x + 5
Here we have the points (1, 13), (2, 21), (3, 29), (4, 37)
You can see that the x-component always increases by one unit, while the y-component always increases by 8 units.
Then we can conclude that this is a linear relationship.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Here we can use the fact that our line passes through the points (1, 13) and (2, 21)
Then the slope of our line is:
a = (21 - 13)/(2 - 1) = 8
Then:
y = 8*x + b
To find the value of b, we can use again the fact that our line passes through the point (1, 13)
This means that when x = 1, the value of y is 13, if we replace that in the equation we get:
13 = 8*1 + b
13 = 8 + b
13 - 8 = b
5 = b
y = 8*x + 5
This means the amount charged for x hours, is:
3 groups of 10 not 4 and 7 ones
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