Answer:
<76
Step-by-step explanation:
Remark
You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.
Properties
<ABG = x Given
<ABG = <BGF Alternate interior angles are equal.
<BGF = x Substitute
x + 2x - 9 = 180 Consecutive angles in a ||gram equal 180 degrees.
3x - 9 = 180 Add 9 to both sides
3x - 9 +9 = 180 +9
3x = 189 Divide by 3
x = 63
<DHG = 2x - 50 Given
<DHG = 2*63 - 50 Substitute for x
<DHG = 76
<IDC = 76
<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.
Answer:
<em>$180.</em>
Step-by-step explanation:
First lets find the <em>interest rate.</em>
<em>6.1 ÷ 100 = 0.061</em>
<em>0.061 x $200 = 12.2</em>
based on the calculations, <em>12.2</em> is our interest rate <em>in a year</em>. Now lets find the interest rate in <em>15 years</em>.
<em>12.2 x 15 = $183 </em>
So <em>$183</em> is our<em> precise</em> interest rate in <em>15 years</em>, but lets<em> round the interest rate to the nearest 10 dollars.</em> Therefore, <em>$180 is our answer.</em>
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
Answer:
800
Step-by-step explanation:
Answer:
vertical angles or opposite angles
Step-by-step explanation:
