PLEASE HELP I SUCK AT MATH
1 answer:
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Answer:
Step-by-step explanation:
we have the points
(-3,1) and (0,3)
step 1
Find the slope m of the line
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in slope intercept form
we have
----> the y-intercept is the point (0,3)
substitute the values
step 3
Find the equation of the inequality
we know that
The slope is positive
Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)
Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)
therefore
The equation of the inequality is of the form y > ax+b
The inequality is
see the attached figure to better understand the problem
Given that the opposite sides of a parallelogram are congruent, a diagonal
of the parallelogram forms two congruent triangles.
The correct options to complete the proof are;
- <u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram
- <u>Reflexive property of congruency</u>
- <u>SSS</u>
Reasons:
The completed two column proof is presented as follows;
Statement Reason
1. ABCD is a parallelogram 1. Given
2. ≅
and
≅
2. <u>Opposite sides of a parallelogram</u>
3. ≅
3. <u>Reflexive property of congruency</u>
4. ΔABC ≅ ΔCDA 4. <u>SSS</u>
The correct options are therefore;
<u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram
Reflexive property of congruency
SSS;
Reason 2. Opposite sides of a parallelogram, which is based on the
properties of a parallelogram and that ABCD is a parallelogram.
Reason 3. The reflexive property of congruency, states that a side is
congruent to itself.
Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency
postulate that states that if the three sides of one triangle are equal to the
three sides of another triangle, then the two triangles are congruent.
Learn more about parallelograms here:
