Answer:
x = 1 and y = 11
Step-by-step explanation:
To start, let's substitute in y into the first equation. We will get 5x + 3 (3x + 8) = 38. Now, distribute the 3 in the 2nd term to get 5x + 9x + 24 = 38. Add like terms to get 14x + 24 = 38, and subtract 24 from both sides to get 14x = 14. Now, divide both sides by 14 to get x = 1. Plug this back in to get that y = 11.
Answer:
x=15
Step-by-step explanation:
<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1. ABCD is a quadrilateral in which AD=BC and ∠DAB=∠CBA (given)
2. AB = AB (reflexive property)
3. Triangles ABD and BAC are congruent (SAS)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
4. BD=AC (corresponding sides of congruent triangles are equal)
<u>Part</u><u> </u><u>(</u><u>iii</u><u>)</u>
5. ∠ABD = ∠BAC (corresponding angles of congruent triangles are equal)
0.75 since 3/8 equals 0.375
