Answer:
∡b = 53°
∡d = 127°
∡c = 127°
Step-by-step explanation:
in trapezoids, the two top angles are equal and the two bottom are equal
also, there are 360 degrees in any 4-sided polygon
53 + 53 + x + x = 360
2x + 106 = 360
2x = 254
x = 127
Answer:
y = 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = 
+ c ⇒ c = 6 - = 
=
y = x + ← equation of line
68 + (x / 54) = 72 68 + (x / 54) • 54 = 72 • 54 68 + x = 72 • 54 68 + x = 3,888 68 + x - 68 = 3,888 - 68 x = 3,888 - 68 x = 3,820 I'm pretty sure this is right. Good luck!
<span>If the width is w, and the length is w+10, then the perimeter is
2w+2(w+10),
If that is the case you need
4w+20-4,or 4w+16 tiles </span>
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
