Part (a)
Let's replace x with 15 and evaluate to see if he is correct or not.
x/2 - 3 = 6
15/2 - 3 = 6
7.5 - 3 = 6
4.5 = 6
We get a false statement after simplifying everything. We need to get the same number on both sides to get a true statement. Therefore, Ahmed is not correct.
<h3>Answer: No, he is not correct</h3>
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Part (b)
Let's solve for x. We do so by first adding 3 to both sides, and then multiplying both sides by 2. This follows PEMDAS in reverse, undoing everything to isolate the variable.
x/2 - 3 = 6
x/2 = 6+3 .... add 3 to both sides
x/2 = 9
x = 9*2 .... multiply both sides by 2
x = 18 is the answer
As a check, we'll use the same idea as part (a)
x/2 - 3 = 6
18/2 - 3 = 6
9 - 3 = 6
6 = 6
We get a true statement this time. This confirms x = 18
<h3>Answer: x = 18</h3>
0.6+1.9= 2.5 is the result.
Given:
The figure of a circle.
Measure of arc = 176°
Measure of angle = (27x+7)°
To find:
The value of x.
Solution:
We know that the measure of central angle is equal to measure corresponding intercepted arc and the measure of central angle is twice of the measure of subtended angle on that arc.
So, the measure of arc is twice of measure of subtended angle on that arc.
Now,
Therefore, the value of x is 3.
So if line A passes through (0,-5) and (12,1) you can put it into the equation m=y2-y1/x2-x1. m=1+5/12-0 m=6/12 or m=1/2
if line B passes through (0,-4) and (10,1) you can use the same equation to find the slope. m=1+4/10-0 m=5/10 or m=1/2
(0,-5) and (0,-4) are y-intercepts so you can now put it into the equation y=mx+b
line A: y=1/2x-5
line B: y=1/2x-4
because the slope is the same and the y-intercept is different they will never intersect.
let me know if this helped i’m glad to.
X=12
36 + 12 = 48
48/4 = 12
