Using the ASA congruence theorem, the missing statement in her proof is: A. ΔACD ≅ ΔECB.
<h3>What is the ASA Congruence Theorem?</h3>Two triangles are congruent by the ASA congruence theorem if they have two pairs of corresponding congruent angles and a pair of included congruent sides.
In the proof given in the diagram, using the ASA congruence theorem, Rowena has been able to prove that ΔACD and ΔECB have two pairs of corresponding congruent angles and a pair of included congruent sides.
Therefore, the missing statement in her proof is: A. ΔACD ≅ ΔECB.
Learn more about the ASA congruence theorem on:
#SPJ1
Answer: the number = 6
Step-by-step explanation:
<u>Let x be the number.</u>
<u>Set equation according to the information given</u>
2 + 8x = 2 × 25
<u>Simplify by multiplication</u>
2 + 8x = 50
<u>Subtract 2 on both sides</u>
2 + 8x - 2 = 50 - 2
8x = 48
<u>Divide 8 on both sides</u>
8x / 8 = 48 / 8
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
We could use the Slope Formula to find the answer, but there's an easier way of doing it. Notice that the y-coordinates of both points are the same. This means that the line that passes through these points is horizontal, which makes our answer because all horizontal lines have a slope of
.
All horizontal lines have a slope of because the value of y never changes as the value of x changes, so if we were to input any two points on a horizontal line into the Slope Formula, our numerator would be
(because anything subtracted from itself is
), leaving us with a result of
regardless of the denominator since
divided by anything is
. Hope this helps!