Answer:
Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:
Collect like terms
7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:
Make 5y the subject
5y = 7x -17
Make y the subject
Substitute
Solving (b):
The triangle is right-angled.
So:
Collect Like Terms
Answer:
The eldest of them is Brian and he is 24 + 2 = 26 years old.
Step-by-step explanation:
Let
Malachy age = a
Brian age = a + 2
Caroline age = a - 8
Total of their age = a + (a + 2) + (a - 8)
66 = a + (a + 2) + (a - 8)
collect like terms
66 = a + a + 2 + a - 8
66 = a + a + a - 6
3a = 66 + 6
3a = 72
divide both sides by 3
a = 72/3
a = 24
Malachy age is 24 . Caroline is 24 - 8 = 16 years old.
The eldest of them is Brian and he is 24 + 2 = 26 years old.
The x coordinate stays the same but y coordinate changes sign so it will be a reflection in the x-axis.
Answer:
x = 6
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
This is a perfect square of the form
(x - a)² = x² - 2ax + a²
36 = 6² ⇒ a = 6 and 2ax = (2 × 6)x = 12x, hence
(x - 6)² = 0
x - 6 = 0 ⇒ x = 6
X-3/8=-1/4
+3/8
x=-1/4+3/8
make both bottom numbers the same so you are able to add them
-1/4×2/2= -2/8
x=-2/8+3/8
x=1/8
