Answer:
C. 57
Step-by-step explanation:
all triangles add up to 180. the tick marks show that ∠D and ∠ E are congruent so you do this and solve for x:
(4x + 1) + (4x + 1) + (5x - 4) = 180
13x - 2 = 180
13x = 182
x = 182/13
x = 14
4(14) + 1 = 57
It is right it is C 454.5
Answer:

Step-by-step explanation:
Proportional functions can be written as
, where
is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after
term). The only answers that fit this format are:

Answer:
Acute
Step-by-step explanation:
This should be an acute triangle because if this was a right angle, then the three sides should be figured out by the Pythagorean Theorem.
An obtuse angle wouldn't be right either, you need an angle to be over 90.
1) 
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2) 
To find the x- intercept, plug y =0



x intercept = (2,0)
To find the y- intercept, plug x=0


Y- intercept = ( 0,3)
3) 
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle = 
Area of triangle = 
Area =
sq unit.
4) The graphs of
and
is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB = 
Slope intercept of line 
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.


Equation of line AB: 
Slope of BC = 
Plug C = (0,-4)

b=-4
equation of line BC= 
Slope of line AC = 
Equation of line AC = 
Y intercept of AB = 