Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Answer:
The line equation is y = 1.5x + 3
Fill the first space with '1.5' and the second with '3'
Step-by-step explanation:
The generic model for a line equation is:
y = ax + b
To find the parameters 'a' and 'b', we can use two points of the graph in the equation.
Using the point (0, 3), we have:
3 = 0*a + b
b = 3
Using the point (-2, 0) and the value of b above, we have:
0 = -2*a + b
2a = 3
a = 1.5
So the line equation is y = 1.5x + 3
Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,
we have FO=4
so, we can plug it
now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem
now, we can solve for x
Since, it is equilateral triangle
so,
we know that
E is a mid-point
so,
now, we can plug values
................Answer
I think it’s 2/7=8/28 1/4=7/28
