<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
The first equation can be rearranged by subtracting <em>y</em> from both sides. This gives you x = 4 - y.
The second equation is x = y - 1
Therefore, as both equations are equal to <em>x</em>, you can say that they are equal to each other, so 4 - y = y - 1.
If you add 1 to each side, you get 5 - y = y
If you add <em>y</em> to each side, you get 5 = 2y
Divide both sides by 2 to get y = 5/2
Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1
x is therefore 3/2
This can be written as , which is the final answer.
Answer:
Its b
Step-by-step explanation:
Answer:
√6 + √2
= --------------
4
Step-by-step explanation:
15° = 45° - 30°
So
cos(15) = cos(45 - 30)
=cos(45) × cos(30) + sin(45) × sin(30)
= 1/√2 × (√3)/2 + 1/√2 × 1/2
(√3) + 1
= --------------
2√2
(√3) + 1 √2
= -------------- x ---------
2√2 √2
√6 + √2
= --------------
4
Answer:
Proved that GB ≅ AH.
Step-by-step explanation:
See the attached diagram.
Statement 1: ∠ GBH ≅ ∠ AHB
Reason 1: This is given.
Statement 2: ∠ GHB ≅ ∠ ABH
Reason 2: This is also given.
Statement 3: BH ≅ HB.
Reason 3: From the diagram. Reflexive property of congruence.
Statement 4: Δ GBH ≅ Δ AHB
Reason 4: By Angle-Side-Angle or ASA criteria of congruency.
Statement 5: GB ≅ AH
Reason 5: Corresponding sides of two congruent triangles. (Proved)
