Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
Answer:
the answer is A
Step-by-step explanation:
Answer:
3x+30= 116° 2x=64°
Step-by-step explanation:
the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this
5x+20=180
5x=160
x=32
sub x into the angle equations
3(32)+20=116
2(32)=64
We know the cofunction identity
.
Thus, the tangent of 90° minus <span>θ also equals
5.</span>
Answer:
5 seconds
Step-by-step explanation:
When the ball returns to its original height, it will be 96 ft from the ground. That means we want to solve for t ...
h(t) = 96
96 +80t -16t^2 = 96
16t(5 -t) = 0 . . . . subtract 96 and factor
This equation is true for t=0 and for t=5.
After 5 seconds, the ball will pass the top of the building on the way down.
