Answer:
Here is the answer ...hope it helps:)
:) Brainliest?
Answer:
x = sqrt 2, y = 2
Step-by-step explanation:
45-45-90 triangles have a ratio of 1 : 1 : sqrt2
Answer: (1) 12 (2) 36 or 22 (3) 40
<u>Step-by-step explanation:</u>
NOTES about diagonals of a rectangle:
- diagonals are congruent (equal lengths)
- diagonals intersect at the midpoint
(1) Given: MR = 4x - 60 and AK = 30 - x
Per rule 1 → MR = AK
4x - 60 = 30 - x
5x - 60 = 30
5x = 90
x = 18
MR = 4(18) - 60
= 72 - 60
= 12
(2) Given: MP = x² + 2 and AP = x + 14
Per rule 1 → MP = AP
x² + 2 = x + 14
x² - x - 12 = 0
(x - 4)(x + 3) = 0
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
AP(4) = (4) + 14 = 18
AP(-3) = (-3) + 14 = 11
Per rule 2 → AK = 2AP
AK(4) = 2(18) = 36
AK(-3) = 2(11) = 22
(3) Given: MR = 4x - 60 and MP = x + 5
Per rule 2 → MR = 2MP
4x - 60 = 2(x + 5)
4x - 60 = 2x + 10
2x - 60 = 10
2x = 70
x = 35
MP = (35) + 5
= 40
Per rule 1 → PR = MP
PR = 40
x + y = 12
Equation 2: Difference:
x - y = 4
Solution:
x + y = 12
x - y = 4
-------------
Add the two equations together:
2x = 16
Divide both sides by 2:
x = 8
Solve for y:
Use equation 1 substituting for x:
x + y = 12
8 + y = 12
Subtract 8 from both sides:
y = 4
Answer:
one number is 8 and the other number is 4.
8 + 4 = 12
8 - 4 = 4
<h2>
<u>Mark as Brainliest</u></h2>
Answer:
1. True
2. False
3. False
4. True
Step-by-step explanation: