For a shape to be a square all the angles need to be 90 degrees.
Angle B = 3x+60 = 90
3x +60 = 90
Subtract 60 from each side:
3x = 30
Divide both sides by 3:
x = 30 /3
X = 10
Answer:
When multiplying fractions, multiply the top number by the top number, and the bottom number by the bottom number.
So we have: (9x2)/(10x5).
This simplifies to: 18/50, or 9/25.
Let me know if this helps!
Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c
Thus the equation of the line is 
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 
When x=3, y=3,
Thus the equation of the line is 
.
F(x) = x²-4x-5, quadratic function,
Domain (the values if x) is all real numbers.
To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up. Minimum value of y =-9
Range(the values of y) is [-9, ∞)
The answer is option "A, 13".
As both triangles are similar.
<span>ΔRST ≅ ΔXYZ.
it means RS = XY
YZ = ST
and XZ = RT
Now given that RS = 13 which is equal to XY.
Thus XY is equal to 13.</span>
