Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
- AD≅DC (since BD is median, then it divides side AC in two congruent parts);
- AE≅CF (given);
- ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).
By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
- side BD is common;
- DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
- BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).
Be SSS theorem, ΔBDE≅ΔBDF.
Answer: Angles are supplementary if and only if their sum is 180° is true.
Step-by-step explanation:
Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180° This is also true.
Answer:
y = 4
Step-by-step explanation:
Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.
-5 + 3y + -2y = -1 + 2y + -2y
Combine like terms: 3y + -2y = 1y
-5 + 1y = -1 + 2y + -2y
Combine like terms: 2y + -2y = 0
-5 + 1y = -1 + 0
-5 + 1y = -1
Add '5' to each side of the equation.
-5 + 5 + 1y = -1 + 5
Combine like terms: -5 + 5 = 0
0 + 1y = -1 + 5
1y = -1 + 5
Combine like terms: -1 + 5 = 4
1y = 4
Divide each side by '1'.
y = 4
Simplifying
y = 4
Answer:There are infinity equivalent fractions to 424
Step-by-step explanation:
This is the answer this dumb app made me type 20 characters
