Keep in mind that, when the logarithm base is not explicitly written, base 10 is assumed, therefore,
Start with an equation summing all the angles in this triangle:
180 = <M + <N + <P
we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So
180 = 2<M + <N
180 = 2(3x+1) + x-11
180 = 7x - 9
x = 27
<P = 3*27+1 = 82 degrees
Answer:
$1.20
Step-by-step explanation:
960÷8=120 :)))))))
Answer:
x = 12
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Using Pythagoras' identity on the right triangle on the right.
(
x )² + 3² = (
)² , that is
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 )
x² = 144 ( take the square root of both sides )
x =
= 12