Since south and west are at 90 degree angle that means we can use pythagorean theorem to find the distance.
It goes like this:
c^2 = a^2 + b^2
a = 3
b = 4
implementing this in pythagoras formula we get that c = 5
answer is 5 miles southwest
Answer:
C. y = -x + 3
Step-by-step explanation:
y = x + 2
Find perpendicular slope (opposite reciprocal):
x/1 --> -1/x or -x
Convert to point-slope form:
y - (-1) = -1 (x - 4)
y + 1 = -1x + 4
y = -x + 3
<em><u>Explanation</u></em>
Xian has 52 stamps and Kai has 76 stamps.
Xian's club will send him 16 new stamps per month and Kai's club will send him 12 new stamps per month.
Suppose, Xian and Kai will have the same number of stamps after 
months.
So, the total number of new stamps for Xian 
and the total number of new stamps for Kai 
So, the equation will be......
Thus, Xian and Kai will have the same number of stamps after 6 months.
The number of stamps for each of them will be: 
Answer:
35x + 114
12
Step-by-step explanation:
(-1/3x + 9.5) + x(3/4 + 2.5)
(-1/3x + 95/10) + x(3/4 + 25/10)
(-x/3 + 5 × 19/2 × 5) + x(3/2² + 5²/2 × 5)
(-x/3 + 19/2) + x(3/2² + 5²⁻¹/2)
(2(-x) + 3 × 19/ 3 × 2) + x(3/2² + 5/2)
(-2x + 57/3 × 2) + x(3 + 2 × 5/2²)
-2x + 57/3 × 2 + x(3 + 2 × 5/2²)
-2x + 57/3 × 2 + x(13/2²)
-2x + 57/3 × 2 + x × 13/2²
-2x + 57/3 × 2 + 13x/2²
2(-2x + 57) + 3(13x)/3 × 2²
2(-2x + 57) + 3 × 13x/3 × 2²
2(-2x + 57) + 39x/3 × 2²
(-2 × 2x + 2 × 57) + 39x/3 × 2²
(-4x + 114) + 39x/3 × 2²
-4x + 114 + 39x/3 × 2²
-4x + 39x + 114/3 × 2²
35x + 114/3 × 2²
35x + 114/3 × 4
35x + 114/12
Answer:
x = 45°
Step-by-step explanation:
"Isosceles" means the base angles are congruent: they both have the same measure, 45°. (The hypotenuse is the "base" for this isosceles triangle.)
The acute angles of a right triangle are complementary, so the third angle can also be found as 90° -45° = 45°.
