Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
_____
There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
We conclude that the coordinates that describe the location of point P' are (4, -2).
<h3>
What ordered pair describes the location of P'?</h3>
For a random point with coordinates (x, y), a reflection over the x-axis only changes the sign of the y-component. So the coordinates after the reflection are (x, -y).
In this case, the coordinates of point P are (4, 2), so if we apply a reflection over the x-axis to get the point P', the coordinates are:
(4, -2)
Where we just changed the sign of the y-component.
We conclude that the coordinates that describe the location of point P' are (4, -2).
If you want to learn more about rotations.
brainly.com/question/4289712
#SPJ1
Answer:
The dog is 20 inches tall now.
Step-by-step explanation:
Given that:
Height of dog when it was a puppy = 
inches
Height of dos now = 
than previous height
It means that we will add this height in the height of dog when it was a puppy.
Height of dog now = 
Height of dog = 
Height of dog = 20 inches
Hence,
The dog is 20 inches tall now.
Answer:
It can be reduced to 7/10
Answer:
8yd×10yd=80yd
80yd÷2=40yd²
Step-by-step explanation:
Hope it helps :)
