Answer:
The answer to your question is 8 h
Step-by-step explanation:
Data
length of the ladder = 200 cm
distance between each rung = 20 cm
rate = 10 cm/h
fifth rung = ?
Process
1.- Calculate the total distance the tide must rise
distance = 20 cm x 4
= 80 cm because the first rung touches the water
2.- Calculate the time
rate = distance / time
-Solve for time
time = distance / rate
-Substitution
time = 80 cm / 10cm/h
-result
time = 8 h
Step 1
<u>Find the measure of angle x</u>
we know that
If ray NP bisects <MNQ
then
m<MNQ=m<PNM+m<PNQ ------> equation A
and
m<PNM=m<PNQ -------> equation B
we have that
m<MNQ=(8x+12)°
m<PNQ=78°
so
substitute in equation A
(8x+12)=78+78-------> 8x+12=156------> 8x=156-12
8x=144------> x=18°
Step 2
<u>Find the measure of angle y</u>
we have
m<PNM=(3y-9)°
m<PNM=78°
so
3y-9=78------> 3y=87------> y=29°
therefore
<u>the answer is</u>
the measure of x is 18° and the measure of y is 29°
The cost of the watch originally cost $1,640.31
Answer:
Angle PQW is equal to 35 degrees
Step-by-step explanation:
Angle PQW = 36x - 1
Angle WQR = 134x
Angle PQR = 169 degrees
To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:
PQR - WQR = PQW
Substitute in the values
169 - 134x = 36x - 1
Now add 134x to both sides and add 1 to both sides.
170 = 170x
Now divide 170 from both sides
x = 1
Plug x into angle PQW
36(1) - 1 = 35
