
∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram
Let ,
1st∠ = (x + 18)°
2nd∠ = x°
3rd∠ = 4x°
so ,

substituting x = 12 at the place of x .
= x° + 18°
= 12° + 18 °
1st∠ = 30°
__________________________________
= x°
2nd∠ = 12°
__________________________________
= 4x°
= 4(12)°
3rd∠ = 48°
Answer:
40 miles over the speed limit
Step-by-step explanation:
You want the difference between the two numbers so you subtract 45 from 85 which gives you 40
Answer:
A triangle has 180 degrees, so 44+13w+4w=180 Solve for w.
17w=136 w=8
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
We want to find the polynomial that will result from expanding:
.
Recall that we can use the Pascal's triangle to obtain the coefficient as:
1 4 6 4 1
Also note how the negative sign is going to alternate.
The <em>power of x </em>will decrease from left to right while the <em>power of y</em> increases from left to right
The expansion then becomes:
.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
To begin with, let's establish that ( x ) can equal to any number from 0 to 9.
Meaning, that ( x ) is equal to one of the following: 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9.
Now that we know which values ( x ) can equal to, we will simply substitute each of the numbers as potential values of ( x ) into the six-digit number and divide it by 27 to see if it is a multiple of 27.
If X = 0
= 63X904 / 27
= 630904 / 27
= Not a whole number
Therefore, X is not equal to 0.
If X = 1
= 63X904 / 27
= 631904 / 27
= Not a whole number
Therefore, X is not equal to 1.
If X = 2
= 63X904 / 27
= 632904 / 27
= Not a whole number
Therefore, X is not equal to 2.
If X = 3
= 63X904 / 27
= 633904 / 27
= Not a whole number
Therefore, X is not equal to 3.
If X = 4
= 63X904 / 27
= 634904 / 27
= Not a whole number
Therefore, X is not equal to 4.
If X = 5
= 63X904 / 27
= 635904 / 27
= 23552
ANSWER:
Therefore, the answer is:
X = 23, 552
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