Answer:
d = 6
Step-by-step explanation:
Given the coordinates A(4, 6) and B(d, 12) with the gradient of AB to be 3
Gradient m = y2-y1/x2-x1
Substitute the given values
3 = 12-6/d-4
3 = 6/d-4
Cross multiply
3(d-4) = 6
Expand
3d - 3(4) = 6
3d - 12 = 6
Add 12 to both sides
3d - 12 + 12 = 6 + 12
3d = 18
Divide both sides by 3
3d/3 = 18/3
d = 6
Hence the value of d is 6
Answer:
the bars of histogram must touch with no space between
Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:

The money Terry invested is modeled by the function
where x represents number of days.
The average rate of change from day 2 to day 10 is given by:

The average rate of change becomes:


330 minutes watched
330 ÷ 4 = 82.5 mins
1 hour 22minuites and 30 seconds spent watching
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I started with triangle GHJ on the right. It is isosceles, so ...
g = 48°
h = 2(90 -g) = 84°
k = 180° -h = 96°
Then, on the lower right, we have ...
a = 180° -143° = 37°
b = 143°
c = e = a = 37°
f = 90° -e = 53°
At vertex D, we also have ...
85° +d = b ⇒ d = 143° -85° = 58°
In triangle DGH, we have ...
m + d = h ⇒ m = h -d = 84° -58° = 26°
The sum of angles in triangle DGP is 180°, so ...
p = 180° -85° -26° = 69°
Finally, ...
s = p = 69°
r = 180° -p = 111°
_____
The relationships we used are ...
- corresponding angles are congruent (at a transversal of parallel lines)
- alternate interior angles are congruent
- an exterior angle equals the sum of remote interior angles
- acute angles in a right triangle are complementary
- angles in a triangle sum to 180°
- linear pair angles are supplementary
- angle sum theorem