First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180<span>°.

Simplify:

Subtract 118° to both sides:

We also know that all three angles of a triangle add up to 180<span>°. So we have:

Simplify:

Subtract 129° to both sides:

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Answer:
The solution is the point (1,-4)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
The solution of the system of equations by graphing is the intersection point both graphs
using a graphing tool
The intersection point is (1,-4)
see the attached figure
therefore
The solution is the point (1,-4)
Answer:
s = 16.97 units
Step-by-step explanation:
Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.
Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.
Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:
- 0.70710678118 =
, and we are solving for s.
Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.
Cross multiply.
Divide both sides by sine(45 degrees).
The length of side s is 16.97 units.
Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2
Substitute 12 for a and b and solve for c, the hypotenuse.
Evaluate the exponents.
Add them together.
Square root 288 to solve for c.
c = 16.97, which is the same answer as you got using trigonometry.
Answer:
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Step-by-step explanation: