Answer:
113
Step-by-step explanation:
The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3
180-67=113
Answer:
Step-by-step explanation:
The x-value is 3. Coordinate pairs are labeled as (x, y). In this case, the 3 is in the x position.
The point is located in the 4th quadrant. Quadrant labels move counter-clockwise, from 1 to 4 as shown below. In Quadrant 4, the x-value will always be positive, and the y-value will always be negative. This point has a positive x-value and negative y-value, so it is in this quadrant.
The correct answer should be E, The sum of a number and three subtracted from seventy-six.
“A number” represented by x, is added to 3, and is therefore labeled a sum.
(x+3)
This sum is then subtracted from 76.
76-(x+3)
Answer:
Two real solutions
Step-by-step explanation:
z=-1.45
z=0.45
So legnth is 7 more than 6 times width
l=7+6w
area=10 cm^2
lw=area
subsitute
7+6w for l
(7+6w)(w)=10
7w+6w^2=10
subtract 10 from both sides
6w^2+7w-10=0
factor
multiply 6 and -10
get -60
now find what 2 numbers multiply to get -60 and add to get 7
the answe ris -5 and 12
split up 7w into that
6w^2+7w-10=0
6w^2+12w-5w-10=0
group
(6w^2+12w)+(-5w-10)=0
undistribute factors
(6w)(w+2)+(-5)(w+2)=0
reverse distribute (ab+ac=a(b+c)
(w+2)((6w)+(-5))=0
(w+2)(6w-5)=0
set each to zero
w+2=0
subtract 2
w=-2
false, legnths cannot be negative
6w-5=0
add 5
6w=5
divide both sides by 6
w=5/6
subsitute
l=7+6w
l=7+6(5/6)
l=7+5
l=12
legnth=12 cm
width=5/6 cm
