Answer:
x = 2.4
y = 31
Step-by-step explanation:
Angle B = 25x
BC = 31
therefore , this is an equilateral triangle all sides and angles are equal,
25x =60
x = 2.4
BC = BA = AC
y= 31
Answer:
6) 20
7) I think is 2.5 (im not sure)
8) 7
Step-by-step explanation:
6) (5x+9)+(3x+11)=180
8x+20=180
-20 -20
8x=160
Divide 8 on each side
x=20
7) (17x+1)=(20x-14)
17x+15 =20x
+17 +17
15 = 37x
divide 15 on each side
X=2.5
8) (3x+3)+(10-4)=90
(3x)+(10x-1)
13x-`1=90
+1 +1
13x=91
Divide 13 on each side
x=7
Hey there!
Answer:
CD = 3.
Step-by-step explanation:
Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

Cross multiply:

Distribute the '6':

Combine like terms and simplify:


Therefore, the length of CD is 3.
Answer:
1/12
Step-by-step explanation:
Answer:
{y | y ≥ -11 }
Step-by-step explanation:
To answer a question like this, it is often helpful to graph the function or to rewrite it to vertex form.
f(x) = 3x^2 +6x -8
f(x) = 3(x^2 +2x) -8 . . . . factor the leading coefficient from x terms
f(x) = 3(x^2 +2x +1) -8 -3(1) . . . . complete the square*
f(x) = 3(x +1)^2 -11
The form of this equation tells you that the graph is a parabola that opens upward. Its vertex is (-1, -11), so the minimum value is -11. The range is the vertical extent of the function values, so goes upward from -11:
y ≥ -11
_____
* Vertex form is ...
f(x) = a(x -h)^2 +k
where "a" is the vertical scale factor and (h, k) is the vertex. When "a" is positive, the parabola opens upward; when it is negative, the parabola opens downward.
The square is completed by adding the square of half the x-coefficient inside parentheses, and subtracting the equivalent amount outside parentheses. Here, we had 2x inside parentheses, so we added (2/2)^2 = 1 inside and -3(1) outside, because "a" was 3.
_____
Brainly provides tools for properly rendering math symbols. 2-11 is not the same as ≥-11.