Answer:
7
Step-by-step explanation:
(+8)-(-4)+(-5)
8+4-5
12-5
7
Answer: Option D. y+2x=3
Solution
If a line with a slope of -2:
Slope: m=-2
crosses the y-axis at (0,3):
(0,3)=(0,b)→b=3
What is the equation of the line?
y=mx+b
Replacing the known values:
y=-2x+3
Adding 2x both sides of the equation:
y+2x=-2x+3+2x
y+2x=3
Answer:
125 deg
Step-by-step explanation:
Keep these three rules in mind:
1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.
2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.
3) Opposite angles of a rectangle inscribed in a circle are supplementary.
110 deg is a central angle.
By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.
a is an inscribed angle that intercepts an arc of 110 deg.
By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.
angle a measures 55 deg.
Rule 3) Angles a and b are supplementary.
a + b = 180
55 + b = 180
b = 125
Answer:
Obtuse Angles are
1, 3, 5, 7, 9, 11
Acute angles are
2, 4, 6, 8, 10, 12
Step-by-step explanation:
I've drawn a triangle to represent the journey (see attached.
The angle from Home to Victim to Hospital is:
a =

Using the cos rule, we can solve for the length x:

Using the cos rule, we can solve for angle b:

So the bearing the helicopter has to travel is:
270 - 76.1 =
<u>
193.9 degrees (1 dp)</u>
And the distance it travels is
<u>31.2 km (1 dp)</u>