Answer is A.
The values of x must be greater than or equal to 1 and the value of x must be less than or equal to -2.
x >= 1.....x <= -2
Please see attachment!
An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:
tan (60) = 15 / base/2
base = 10√3 = side length
Answer:
x=17/4
Step-by-step explanation:
(x-3)/(x+2)=1/5
cross product
1(x+2)=5(x-3)
x+2=5x-15
5x-x-15=2
4x-15=2
4x=2+15
4x=17
x=17/4
Step-by-step explanation:
Here Given
Total counters = 81
red counters are 9 more than the yellow ones.
And Yellow counter = blue counter
So let the Yellow counter be x and as blue counter and yellow counter are same then blue counter will be also x
And by the question
Red counter = 9 + x
Now
9 + x + x + x = 81
9 + 3x = 81
3x = 81 - 9
3x = 72
x = 72 / 3
Therefore x = 24
Now
Red counters = 9 + 24 = 33
Blue counters = 24
Yellow counters = 24
Hope it helped :)
The answer is 0 < x <span>≤ 7
</span>
First, we know that width = x
Which means that length = x +18
So, the possible equation for the Table's area is
X (X + 18) ≤ 175
X^2 + 18x - 175 <span>≤ </span>0
Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
Since the width couldn't be negative, we can change -25 with 0,
so it become
</span> 0 < x ≤ 7
