The question is asking to calculate the book that Tony have in all if one eight of his book are 3 mystery books, base on the questions, and on my further calculation, I would say that the answer would be 24 books. I hope you are satisfied with my answer and feel free to ask for more if you have questions
Answer:
The coordinates of its image are (2, -4)
Step-by-step explanation:
<em>Let us revise the rules of reflection across the axes</em>
- If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)
- If the point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)
∵ The point (2, 4) is reflected across the x-axis
→ By using the first rule above rx-axis (x, y) → (x, -y)
∴ Change the sign of its y-coordinate
∴ Its image is (2, -4)
∴ The coordinates of its image are (2, -4)
<u>Included sides AE and BE</u> need to be given as congruent to prove that triangle AEC is congruent to triangle BED by the Angle-Side-Angle (ASA) Congruence Theorem.
According to the Angle-Side-Angle (ASA) Congruence Theorem, if two angles and an included side of a triangle is congruent to corresponding two angles and an included side of another triangle, both triangles can be proven to be equal or congruent to each other.
We are know the following from the given image:
<AEC = <BED (vertical angles are congruent)
<EAC = <EBD (congruent angle)
This implies that two angles (<AEC and <EAC) in triangle AEC are congruent to two corresponding angles (<BED and <EBD) in triangle BED.
Therefore, to prove that both triangles are congruent by ASA, we need to be given that the included sides AE and BE are congruent.
Learn more about Angle-Side-Angle (ASA) Congruence Theorem here:
brainly.com/question/23968808
Answer:
1,5
Step-by-step explanation:
-4• 1/4 + (5•1/2)=
-4/4 + (5/2)
-1+2,5=
+1,5
Answer:
-1/2
Step-by-step explanation:
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