By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823
hi
if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4
conclusion y = (x+3)/4
Answer:
The equations 3·x - 6·y = 9 and x - 2·y = 3 are the same
The possible solution are the points (infinite) on the line of the graph representing the equation 3·x - 6·y = 9 or x - 2·y = 3 which is the same line
Step-by-step explanation:
The given linear equations are;
3·x - 6·y = 9...(1)
x - 2·y = 3...(2)
The solution of a system of two linear equations with two unknowns can be found graphically by plotting the two equations and finding the coordinates of the point of intersection of the line graphs
Making 'y' the subject of both equations gives;
For equation (1);
3·x - 6·y = 9
3·x - 9 = 6·y
y = x/2 - 3/2
For equation (2);
x - 2·y = 3
x - 3 = 2·y
y = x/2 - 3/2
We observe that the two equations are the same and will have an infinite number of solutions
The only way to do this one is by long division which I can't figure out how to show here. There are some great examples online if you google long division with polynomials.
The answer is 3x^2+3x+3 with a remainder of 5x+6 who's is usually shown as (5x+6)/2x^2 +2x+4 which was the divisor g(x).
Answer:
3 gallons
Step-by-step explanation:
Given
Seconds Spent ----- Gallons of Gas
0 ---------------------------- 3
12 -------------------------- 5
24 ------------------------- 7
36 ------------------------- 9
48 ------------------------ 11
Required
Determine the output of the initial value
From the given parameters, we have that:
Gallon of gas is a function of time spent
This means:
The input is the time spent while the output is the gallon of gas
From the table above,
Initial Value = 0 seconds
The corresponding output of this is 3 gallons
Hence;
<em>Option C answers the question.</em>
