Answer:
Step-by-step explanation:
- x + y + z = -3 --> (1)
- 3y - z = 4 --> (2)
- 2x - y - 2z = -5 --> (3)
<u>Add up (1) and (2)</u>
- x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)
<u>Double (2) and subtract from (3)</u>
- 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
- 2x - 7y = -13 --> (5)
<u>Double (4) and subtract (5)</u>
- 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1
<u>Finding x</u>
- x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3
<u>Finding z</u>
<u>So the answer is: </u>
Answer:
The area of the room is 125 square feet because 12.5 times 10=125 square feet. As a result, you will spend $187.5 for it cost $1.5 to buy one square foot of carpet, and now we need 125 square feet to cover the room which 125 times 1.5 to get 187.5. Hope it help!
Step-by-step explanation:
Answer:
180,45
Step-by-step explanation:
1. S is a straight line that cuts through f and t
2. Given
3. ∠5 ≅ ∠7
4. ∠7 ≅ ∠3 Corresponding angles
Solution:
Step 1: Given
S is a straight line that cuts through f and t
Step 2: Given
∠3 ≅ ∠5
Alternate interior angles are equal.
Step 3: By Vertical angle theorem
Vertically opposite angles are congruent.
∠5 ≅ ∠7
Step 4: Corresponding angles
∠7 and ∠3 are corresponding angles.
∠7 ≅ ∠3
Step 5: Corresponding angles theorem
f || t
Hence proved.
Answer:
1,600
Step-by-step explanation: