Answer:
The length of DC in meters is
⇒ A
Step-by-step explanation:
In the circle O
∵ AB passing through O
∴ AB is a diameter
∵ D is on the circle
∴ ∠ADB is an inscribed angle subtended by arc AB
∵ Arc AB is half the circle
→ That means its measure is 180°
∴ m∠ADB =
× 180° = 90°
In ΔADB
∵ m∠ADB = 90°
∵ AD = 5 m
∵ BD = 12 m
→ By using Pythagorase Theorem
∵ (AB)² = (AD)² + (DB)²
∴ (AB)² = (5)² + (12)²
∴ (AB)² = 25 + 144 = 169
→ Take square root for both sides
∴ AB = 13 m
∵ ∠ADB is a right angle
∵ DC ⊥ AB
∴ DC × AB = AD × DB
→ Substitute the lengths of AB, AD, and DB
∵ DC × 13 = 5 × 12
∴ 13 DC = 60
→ Divide both sides by 13
∴ DC =
m
∴ The length of DC in meters is
Answer:
x = 10
Step-by-step explanation:

or, 10x + 8 = 4(2x + 7)
or, 10x + 8 = 8x + 28
or, 10x - 8x = 28 -8
or, 2x = 20
or, x = 20/2
or, x = 10
x = 10
Answer:
7.5 quarts of olive oil remain.
Explanation:
Let
q = quarts of olive oil remain
<span>25%</span> of olive oil remains means that <span>75%</span> has been used.
22<span>12</span> quarts = 22.5 quarts used
<span><span>22.5.75</span>=<span>q.25</span></span>
Multiply both sides by .25 to isolate q.
<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>
<span><span>5.625.75</span>=q</span>
<span>7.5=<span>q</span></span>
Where is the problem that we have to solve