1. Let x represent the missing angle.
The sum of angles in a triangle is 180°
65° + 57° +x =180
122° +x=180°
x=180-122
x=68°
2. Let y represent the missing angle.
Then
y+90°+40°=180°
y+130°=180°
y=180°-130°
y=50°
3. Let the missing angle be t, then
t+20°+130°=180°
t+150° =180°
t=180°-150°
t=30°
4. Let the missing angle be m, then
m+85°+50°=180°
m=180°-50°-85°
m=180-135°
m=45°
5. Let the missing angle be e, then by the exterior remote angle theorem:
137°=102° +e
137-102=e
e=35°
6. Let the unknown angle p, be the missing angle.
Then by vertical angle property and exterior angle property:
p=35° +100°
p=135°
7. Let g be the missing angle, then
g+20°+30°=180°
g+50°=180°
g=180°-50°
g=130°
8)
Let v be the missing angle:
By angle on straight line, and exterior angle theorem property,
g=(180-155)+60°
g=25°+60°
g=85°
Area = length x width
A = L•W
There are 3 feet in one yard.
6 yards = 18 feet
4 yards = 12 feet
A = (18)(12)
A = 216 square feet
Since there are 6 elements in the given set, hence the possible outcome in the sample space is 6
<h3>What is probability?</h3>
Probability is the likelihood or chance that an event will occur. Mathematically, the formula for calculating probability is expressed as:
Probability = expected outcome/Total outcome
Sample space is the total number of element in a given set of probability. The subsets if this sets are called event
Let the six children the couple plan to have ne 1, 2, 3, 4, 5,6 such that the sample space will be:
S = {1, 2, 3, 4, 5, 6}
Since there are 6 elements in the given set, hence the possible outcome in the sample space is 6
Learn more on sample space here: brainly.com/question/10558496
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We use y=mx+c we know that c= 4 A’s this is the y intercept . Next we need to work out the gradient(m). For every two squares along we go three squares up. This means are gradient is 1.5. Finally we input are values into the equation y=1.5x+4
