Find the missing measures
2 answers:
Answer:
Y= 43
X=137
Z=137
Step-by-step explanation:
Below is a image to better explain and to visualize whats happening.
So as shown in image 1 43 is congruent to angel Y therefore y=43
all angles should add up to 360 degrees meaning
y+x+z+43=360
and all side angle pairs should add up to 180 degrees meaning
Y+x=180
or
43+z=180
or even backwards which ever two you choose
Y+z=180
43+x=180
to find our missing number i'm going to use 43 and x (really doesn't matter which one you choose x or z)
43+x=180
Islate the variable
subtract 43 from both sides
x=180-43
x=137
so angle x is 137
since angle x is congruent to z then
z=137 as well.
and to check our work
we need to make sure all angles add up to 360
137+137+43+43=360
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Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ =
t=2. That means after 2 sec. the arrow reach the maximum height