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.
Answer:
no triangles
Step-by-step explanation:
The angles of a triangle must add to 180°
The numbers given add to 190
Answer:
the solid color fleece is a better price
Step-by-step explanation:
Data:
Solid color fleece: S
Paterned fleece : P
Cost:
S=$1649 per 6 yards
P= $15.40 per 16 feet
To find which fleece is better price you need to find the price of each one per the same unit.
1. Turn the yards in feet (1 yd is equal to 3 feet )
2. Find the price per 1 feet of each fleece:
Solid color fleece: $ 0.916 per 1 feet
Patterned fleece: $0.9625 per 1 feet
Then, the solid color fleece is a better price
PLEASE MARK ME AS BRAINLIEST
C is the correct answer
good luck
