Answer:
9) x = 89°
10) x = 118°
11) x = 145°
12) x = 40°
Step-by-step explanation:
9) 180-91 = 89
10) x = 118° because it is alternate interior to 118
11) x-30 = 115, x = 145
12) 4x-15 = 145, 4x = 160, x = 40
Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
_____
<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
13 + 2x = 3
subtract 13 from both sides of the equation
2x = -10
divide by 2 on both sides
x = -5
The football field is longer than soccer field.
<h3>What is a expression? What is a mathematical equation? What is unit conversion?</h3>
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.
We have a soccer field that is 105 meters long and a football field is 120 yards long.
In one yard, we have -
1 yard = 0.9144 meters
Then, in 120 yards, we will have -
120 x 0.9144 = 109.728 meters
Now, 109.728 meters > 105 meters.
Therefore, the football field is longer than soccer field.
To solve more questions on dimensions and unit conversion, visit the link below -
brainly.com/question/4613077
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Answer: each person gets 2 slices of pizza
Step-by-step explanation: 3 pizza 8 slices each pizza 3•8=24 divided by 12=2