The options are;
A) b + c = 90
B) 90 + c = 180
C) b + c = 180
D) 42 + b = 150
Answer:
C) b + c = 180
Step-by-step explanation:
From angle theorems, we know that sum of angles on a straight line is 180°
Now, c and 42° form a straight line.
Thus;
c + 42 = 180°
c = 180 - 42
c = 138°
Similarly b and c form a straight line and so;
b + c = 180°
From the given options, the only correct one is Option C.
Answer:
This is long ill write up a short summary of the answer in 2 mins
Step-by-step explanation:
(1,
) and (1, -
)
Step-by-step explanation:
Step 1 :
The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)
The distance between these 2 points is the length of the given triangle
Distance between the 2 points is
= sqrt (sq(4-(-2)) + sq(1-1)) = 6
Hence the given triangle has 3 equal side of length 6 unit.
Step 2:
The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C
We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)
Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle
Hence
= 6
=> 9 + 1 +
-2 y = 6
=>
-2 y - 26 = 0
=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)
Hence the possible co ordinates of C are (1,
) and (1, -
)
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct