Answer: 51.75$
Step-by-step explanation: First, turn 15% into the decimal 0.15, then multiply by 45, which equals 6.75. Now add 6.75, which is the amount the waitress got tipped to 45, which equals 51.75$ total.
Mathematically written:
3 * x + 7 = 25
3x + 7 = 25
3x = 25 - 7
3x = 18
x = 18 / 3
x = 6
Proof:
3 * 6 + 7 = 25
18 + 7 = 25
25 = 25 → both sides of the equation are equal, our answer is correct
Notes:
A number - Is an unknown number, called a variable, which in this case is substituted by the letter x.
Hope it helped,
BioTeacher101
Answer:
- 1. Adjacent, 2. Vertical, 3. Neither
Step-by-step explanation:
1.
- The first pair is adjacent as they have common side.
2.
- The second pair is vertical as opposite angles of the crossed lines.
3.
- The third pair has no relationship with each other, so neither is the answer.
Answer:
The proof is given below.
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
