Answer:
A) slope = p/q
Step-by-step explanation:
Slope of any given can be found using the formula,
.
In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.
This means, slope of line AB would be:
.
✅Therefore, slope of line AB = p/q
The answer would be 14
Explanation:
If you look on a number line and start from 15 then from there you minus 6 which equals 9 then you minus 5 which equals 4 and add 10 which equals 14 and that 14 is on the positive side of the number line. So 14 is your answer.
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
Answer:
45
Step-by-step explanation:
45 + 45 =90 and makes a right angle
Answer:
a
Step-by-step explanation:
given
= 2 ( multiply both sides by x )
10 = 2x ( divide both sides by 2 )
5 = x or x = 5