Since the sine and cosine functions are cofunctions, they are complementary. The format for this is that sinx=cos(90-x). This works for secant and cosecant and tangent and cotangent. So, sin25°=cos65°.
2x - 14y = -16
Move all the terms without the variable on the other side of the equation. Add 14y to both sides of the equation.
2x = -16 + 14y
Divide both sides by 2.
x = -8 + 7y is your answer.
Answer:
HA
Step-by-step explanation:
The hypotenuse-angle theorem proves congruency by comparing the respective hypotenuse and an adjacent angle between two triangles. Since the given values here are the hypotenuse (longest side) and an adjacent angle, the HA theorem can be used to prove congruency between the two triangles.
Hope this helped!
This question is an example of what we call "system of equations". We can use two separate equations to help us solve.
Let a = number of touchdowns
Let b = number of field goals
a + b = 43
7a + 3b = 301
We can solve this system using the elimination method.
1. a + b - b = 43 + -b (add - b to both sides)
a = -b + 43
2. substitute -b + 43 for a in 7a + 3b = 301
7 (-b +43) + 3b = 301
-4b + 301 = 301 (simplify both sides of the equation)
-4b + 301 - 301 = 301 - 301 (add -301 to both sides)
-4b = 0
b = 0
Since b = 0, and b is the number of field goals, we know that Liam's team did not score any field goals. Which means the only points from his team came from touchdowns. So, 43 touchdowns were scored, and 0 field goals were scored, for a total of 301 points.
