In triangle ABC, the measure of angle B is 44 degrees more than three times the measure of angle A. The measure of angle C is 61
degrees more than the measure of angle A. Find the measure of each angle
1 answer:
Answer:
m∠A = 15°; m∠B = 89°; m∠C = 76°
Step-by-step explanation:
The sum of the three interior angles of a triangle is 180°.
Let x = m∠A
Then 3x + 44 = m∠B
and x + 61 = m∠C
x + 3x + 44 + x + 61 = 180
5x + 105 = 180
5x = 75
x = 15
m∠A = 15°
m∠B = 3(15) + 44 = 45 + 44 = 89°
m∠C = 15 + 61 = <u> 76°</u>
Sum = 180°
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Answer:
Obtuse
Step-by-step explanation:
Since the hypotenuse is bigger, the triangle is obtuse
Answer:
We have the equation:
3x - 5y = 15
a) We want to create a table with at least 4 points.
To do this, first, let's write the equation as a function: We must isolate one of the variables. Let's isolate y.
5y = 3x - 15
y = (3/5)*x - 3.
Then we have a linear equation.
Now, we can input different values of x, and see what value takes y in each case, then in this way we can be sure that the points will be on the line.
x = 0.
y = (3/5)*0 - 3
y = -3
Then we have the point (0, -3).
x = 1.
y = (3/5)*1 - 3 = 3/5 - 15/5 = -12/5
y = -12/5
Then we have the point (1, -12/5)
x = 5
y = (3/5)*5 - 3 = 3 - 3 = 0
y = 0
then we have the point (5, 0)
x = 10
y = (3/5)*10 - 3 = 6 - 3 = 3
y = 3
Then we have the point (10, 3).
Now we can create the table
Below you can see a graph, where the blue dots are our 4 points, and the green line is the line that represents the equation.
