Zoe gives 7 shells to Dev, leaving her with 48. Dev then has 16 shells in total. Step-by-step explanation: Denote the initial shell count for Dev as A and Zoe’s as B. Based on the scenario where Zoe transfers x shells to Dev while then possessing three times the number of shells relative to him, the resulting references show that Zoe provided 7 shells, leaving her count at 48 while Dev's total became 16.
The provided sequences pertain to every x. To determine the series, we start with the specified value a, and the values of both
and
are found accordingly. The calculation of the series comes from dividing the preceding value, yielding results for all x.
The question is not properly framed
Complete Question
Identify all decimals equivalent to ( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100 ). A. 92.35 B. 920.350 C. 902.35 D. 92.350 E. 920.35 F. 920.035
Response:
E. 920.35
Explanation:
( 9 × 100 ) + ( 2 × 10 ) + ( 3 × 1/10 ) + ( 5 × 1/100)
Step 1
(900) + (20) + (3/10) + (5/100)
Step 2
900 + 20 + 0.3 + 0.05
Step 3
920.35
Thus, the result is 920.35
To find the value of z in triangle XYZ, we can utilize the law of sines. We know the following:
1. The measure of angle XYZ is 51 degrees.
2. The measure of angle YZX is 76 degrees.
3. The length of side XZ is 2.6 units.
From these angles, angle XZY can be calculated, and then we can apply the law of sines to determine z.
Thus, we proceed to solve for z using the sine relationship in the triangle.
We will round the result to one decimal place.
The equation of the perpendicular line can be identified by determining its slope and applying the given point within the standard formula.
Standard equation: y-y1 = m(x-x1)
m*m'=-1
where m' indicates the slope of the perpendicular line
m denotes the slope of the original line
m = -coefficient of x/coefficient of y = -4/-3 = 4/3
m' = -3/4
Substituting the point (3, -2):
y+2 = -3/4*(x-3)
4y+8 = -3x+9
Thus, the equation of the perpendicular line is: 3x+4y-1=0
