ANSWER
EXPLANATION
We want to find the equation for the relationship shown in the table.
The relationship shown in the table represents a linear relationship. The general form of a linear equation is:
where m = slope
b = y-intercept
To find the slope of the equation, apply the formula:
where (x1, y1) and (x2, y2) are two sets of values from the table.
Let us take (3, 7) and (5, 11) as (x1, y1) and (x2, y2)
Hence, the slope of the equation is:
Now, to find the equation of the line, apply the point-slope method:
Therefore, the equation that shows the relationship in the table is:
The correct option is option C.
Answer:
bii) 
Please see the attached pictures.
*x represents the estimated distance on Map A
The measure of angle A is 65°
Explanation:
Given that ABCD is a quadrilateral inscribed in a circle.
The measure of angle A is 
The measure of angle B is 
The measure of angle D is 
We need to determine the measure of angle A.
Since, we know that the angles B and D are opposite angles and the opposite angles of a quadrilateral add up to 180°
Thus, we have,
Substituting the values, we have,
Thus, the value of x is 32°
Substituting the value of x in the measure of angle A, we get,
Thus, the measure of angle A is 65°
Answer:
0.08*x + 0.09*(9000-x) = 750 dollars
0.08x + 810 - 0.09x = 750
-0.01x = 750 - 810 = -60 ====> x = %28-60%29%2F%28-0.01%29 = 6000.
Answer. $6000 was invested at 8%. The rest 9000-6000 = 3000 dollars were invested at 9%.
Check. 0.08*6000 + 0.09*3000 = 480 + 270 = 750 dollars. ! Correct !
have a great day
hope this help
See the attached figure to better understand the problem
in the triangle ABD
tan 29=BD/(525+x)------> BD=(525+x)*tan 29------> equation 1
in the triangle CBD
tan 38=BD/x-------> BD=x*tan 38-----------> equation 2
equals 1 and 2
(525+x)*tan 29=x*tan 38----> 525*tan29+x*tan29=x*tan38
x*[tan38-tan29]=525*tan29---> x=525*tan29/[tan38-tan29]---> x=1282.12 ft
BD=x*tan 38-----> 1282.12*tan38-----> BD=1001.71 ft-----> 1002 ft
the answer is1002 ft
