Answer:
1. AC is perpendicular to BD
1. Given
2. ACB is a right angle
2. Definition of perpendicular lines
3. Triangle ACB is a right triangle
3. Definition of right triangles
4. Angles 1 and 3 are complementary
4. Interior angles of a triangle add up to 180 degrees (Triangle Interior Angle Sum Theorem), and m<ACB = 90 degrees (definition of right angles), so m<1 + m<3 = 90 degrees (subtraction property of equality). By the definition of complementary angles, angles 1 and 3 are complementary.
Answer:
$2,221.6 monthly
Step-by-step explanation:
A = P(1 + r)^n
A is the total amount I intend to save = $15,000
r is the yearly interest rate = 3.6% = 0.036
n is the duration to achieve my goal = 4 and 1/2 years = 54 months
15,000 = P(1 + 0.036)^54
15,000 = P(1.036)^54
P = 15,000/6.752 = 2,221.6
I need to put $2,221.6 into the savings account monthly
Standard form: 100,000,000 (100 million)
Scientific form: 1 * 10
.
Answer:
Positive angles located in the fourth quadrant may be described as<u> 270≤Ф≤360
.</u>
The option is
4. 270≤Ф≤360
Step-by-step explanation:
When the terminal arm of an angle starts from the x-axis in the anticlockwise direction then the angles are always positive angles.
For Example.
Quadrant I - 0 to 90°
Quadrant II - 90° to 180°
Quadrant III - 180° to 270°
Quadrant IV - 270° to 360° ( 4. 270≤Ф≤360 )
Hence,Positive angles located in the fourth quadrant may be described as<u> 270≤Ф≤360
.</u>
When the terminal arm of an angle starts from the x-axis in the clockwise direction than the angles are negative angles.
Quadrant IV - 0° to -90°
Quadrant III - - 90° to -180°
Quadrant II - -180° to -270°
Quadrant I - -270° to -360°
#9
99 cent for 100 paper
4.29 for 500 paper
multiply 100 and 5=500
so now multiply .99 and 5=4.95
the better deal would be $4.29 for 500 paper
