Answer:
The value of x = 30°
Step-by-step explanation:
The value of first angle = ( 2 x)
The value of the second angle = ( x + 30)
Now, the given angles are VERTICAL ANGLES.
Also, by the definition, the VERTICAL ANGLES ARE CONGRUENT.
So, First Angle = Second Angle
⇒ (2 x ) = ( x + 30 )
or, 2 x - x = 30
⇒ x = 30
Hence, the value of x = 30°.
Answer:
-6 is the range and it is a function
Step-by-step explanation:
hope it helps you
Answer:
113.04 in^3
Step-by-step explanation:
The surface area of a sphere of radius r is S = 4π*r^2. Here, S = 113.04 in^2. Equating this to the formula, we get 4π*r^2 = 113.04. We need to solve for the radius, r. Dividing both sides of this equation by 4π, we get:
r^2 = 113.04 / [4*3.14] = 9 in^2. Thus, the radius is r = 3 in.
The volume of this water balloon is given by V = (4/3)π*(3 in)^3, or
113.04 in^3.
Z at 75% ≈ 0.674. Since the spending is more than $75, Z = -0.674
Z at 15% ≈ - 1.036. Since the spending is more than $150, Z = 1.036
Now,
Z = (x-mean)/SD => Z*SD = x-mean
Therefore,
-0.674*SD = 75 - mean ------- (1)
1.036*SD = 150 -mean ------- (2)
---------------------------------------------
(1) - (2)
-1.71SD = - 75 => SD = 75/1.71 = 43.8596
Substituting SD in (1) => -0.674*43.8596 = 75 -mean => mean = 75+(0.674*43.8596) = 104.46.
Then,
SD = 43.86, mean = 104.46
If you're restricting your numbers to integers, the composite numbers between 20 and 25 are 21, 22, and 24. The number 21 has no 2-digit divisors, so the two combinations are
... 11×2 = 22
... 12×2 = 24
_____
If you allow non-integer decimal numbers there are about 124 possible combinations (too many to list here). A few of them are ...
... 67×.3 = 20.1
... 53×.4 = 21.2
... 4.5×5 = 22.5
... 3.1×8 = 24.8
... 2.7×9 = 24.3
_____
If you allow 4.0 as a 2-digit number, then 4.0×6 = 24 and 6.0×4 = 24 are 2 of 6 such combinations that can be added to the list.