Answer:
the third obtuse angle is 110°.
Step-by-step explanation:
From the question, the 0s at the back of the given angles are meant to be degrees (°), since the sum of angles in a triangle cannot exceed 180°.
Hence, The question would be:
The two angles of an obtuse triangle are 23° and 47°. Find the third obtuse angle
.
Step-by-step explanation:
In a triangle, there are three (3) angles which sum up to 180°.
Two of the angles are given which are 23° and 47°. Now, to determine the third angle which is an obtuse angle.
(NOTE: An obtuse angle is a type of angle that is greater than 90° but less than 180°).
Let the third obtuse angle be x
Then , we can write that
23° + 47° + x = 180° (Sum of angles in a triangle)
Then,
70° + x = 180°
x = 180° - 70°
x = 110°
Hence, the third obtuse angle is 110°.
Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car
and the observer.
(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have
dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.
The linear equation that defines the line G can be written as:
y = -(1/3)*x + 5
<h3>How to get the equation of the line G?</h3>
A general linear equation written in the slope-intercept form is:
y = a*x + b
Where a and b are real numbers, a is the slope and b is the y-intercept.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we know that the line passes through (-3, 6) and (0, 5), then the slope is:
a = (5 - 6)/(0 - (-3)) = -1/3
The linear equation is something like:
y = (-1/3)*x + b
We know that it passes through (0, 5), then:
5 = (-1/3)*0 + b
5 = b
We conclude that the linear equation can be written as:
y = -(1/3)*x + 5
If you want to learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
<h2>
1. 40 points</h2><h2>2. 50-x points </h2>
Step-by-step explanation:
1. Given that the total number of points is 50
2. Each question is worth 5 points
We can now calculate the number of questions by dividing the total points by the worth of each question
the number of question is = 50/5= 10
hence there are 10 questions available
if he misses 2 questions, which will amount to 10 points his score will be
50-10 = 40 points
Hence if he got x questions wrong his score will be
50-x points
