The given congruency of the sides 
and 
and 
and 
as well
as the congruency of the common side 
gives.
ΔBEL ≅ ΔLOB by SSS congruency postulate
<h3>Which values correctly completes the table?</h3>
The completed two column proof is presented as follows;
Statement 
Reasons
1. 
1. Given
2. 
≅ 
2.
3. 
3. <u>Reflexive property of congruency</u>
4. ΔBEL ≅ ΔLOB 4. <u>SSS congruency postulate</u>
Side-Side-Side, SSS, congruency postulate states that if three sides of
one triangle are congruent to three sides of another triangle, the two
triangles are congruent.
Learn more about different congruency postulates here:
brainly.com/question/1495556
X² + 11x + 28 + x² + 13x + 40
combine like terms
x² + x² = 2x²
11x + 13x = 24x
28 + 40 = 68
2x² + 24x + 68 is your answer
if you want it simplified:
2(x² + 12x + 34)
hope this helps
Answer is $31.25
Step by step
We know mark up is 112%
We know sell price (retail) after markup
We are looking for wholesale (original price)
So 112% of x = $35
1.12x = $35
Divide both sides by 1.12 to isolate x
X= 31.25
Answer:
y = (1/5)x² or y = x²/5
Step-by-step explanation:
We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...
y = ax²
We know that when x = 5, y = 5, so we have
5 = a(5²) now simplify...
5 = 25a
5/25 = a
1/5 = a, so our equation becomes
(1/5)x² or x²/5 (the expressions are equal)
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
