Answer:
<em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
Step-by-step explanation:
Find the diagram attached
If line AC and BD intersects, then m<AED + m<DEC = 180 (sum of angle on a straight line is 180 degrees)
Given
m<AED = 16x+8
m<DEC = 76 degrees
16x + 8 + 76 = 180
16x + 84 = 180
16x = 180-84
16x = 96
x = 96/16
x = 6
Hence the value of x is 6
Hence the correct option is <em>No, he should have set the sum of ∠AED and ∠DEC equal to 180°, rather then setting ∠AED and ∠DEC equal to each other</em>
Answer:
y = -11.5
Step-by-step explanation:
2y = 18-41
Combine like terms
2y = -23
Divide each side by 2
2y/2 = -23/2
y = -11.5
Answer:
Im not sure what the following expressions are but the answer to the distance between 3/4 and 2 is 5/4 or just 1 1/4...
Not sure if this was what you were trying to ask but hope this helps
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
<em>Expand:</em>
2W² +W= 28
<em>-28 on both sides:</em>
2W² +W -28= 0
<em>Factorise</em><em>:</em>
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
To find the x-intercept, substitute in
0
0
for
y
y
and solve for
x
x
. To find the y-intercept, substitute in
0
0
for
x
x
and solve for
y
y
.
x-intercept(s):
(
5
,
0
)
(
5
,
0
)
y-intercept(s):
(
0
,
−
15
)
