Interest = $572.60 - $560.00 = $12.60
$560 x 6i/12 = $12.60
i = ($12.60 x 12) / ($560 x 6) = 0.045%
<span>x=<span><span><span><span>−1/</span>2</span><span> and </span></span>y</span></span>=<span>3/<span>4 hope this helps. </span></span>
Answer:
-16n-41
Step-by-step explanation:
• Angles DXC and AXB form a vertical pair, so they are congruent and have the same measure.
• ∆ABD is isosceles, since it's given that AD and BD are congruent. This means the "base angles" BAD and ABD have the same measure; call this measure <em>x</em>.
• The measure of angle ADB can be computed by using the inscribed angle theorem, which says
m∠ADB = 1/2 (100°) = 50°
(that is, it's half the measure of the subtended arc AB whose measure is 100°)
• The interior angle to any triangle sum to 180° in measure. So we have in ∆ABD,
m∠ADB + 2<em>x</em> = 180°
Solve for <em>x</em> :
50° + 2<em>x</em> = 180°
2<em>x</em> = 130°
<em>x</em> = 65°
• Use the inscribed angle theorem again to find the measure of angle BAC. This will be half the measure of the subtended arc BC, so
m∠BAC = 1/2 (50°) = 25°
• Now in ∆ABX, we have
m∠AXB + 25° + 65° = 180°
m∠AXB = 90°
Hence m∠DXC = 90°.
Answer:
5 gallons of gas
Step-by-step explanation:
From the above question:
If:
80 miles = 4 gallons of gas
100 miles = x gallons of gas
Cross Multiply
80 × x = 100 × 4
x = 100 × 4/80
x = 5 gallons of gas
Therefore, Jackson would use 5 gallons of gas to get to Mount Highmore.