Answer:
m∠y=72°
Step-by-step explanation:
<u><em>The question is</em></u>
Find the measure of angle y
step 1
Find the measure of angle x
see the attached figure to better understand the problem
we know that
m∠x=67° -----> by corresponding angles
step 2
Find the measure of angle y
we know that
(m∠x+m∠y)+42°=180° -----> because form a straight line
substitute the measure of angle x
67°+m∠y+42°=180
m∠y+108°=180
m∠y=180°-108°
m∠y=72°
Answer:
27.5
Step-by-step explanation:
this is the trigonometric ratio.. we are looking for d... that is the opposite... any side facing the angel is the opposite.... so the longest side of the right angle triangle is the hypotenuse........ so you are looking for the opposite and you are giving the hypotenuse.... so the easiest way to know how to find it is by using this way...... SOH CAH TOA..... the first words stand for sin cosine and tangent of angles.... we are using sin.... because it says opposite / hypotenuse... and as you can see the angle which is 39 degree we will use sin 39.....what will be sin 39=d/30m....then ull cross multiply.... d=30m* sin 39.....
d = 30m *0.963
d = 28.8
but since 27.5 is dere....
you can round up to 1 sig. f =28
So, Our final answer is 145%
Answer:
Step-by-step explanation:
Start by finding how many integers there are from 10-30...
30-10+1=20+1=21
Note we have to add 1 since it is inclusive.
Now, let's find how many multiples of 4 or 5 there are from 10-30...
4*3=12
4*4=16
4*5=20
4*6=24
4*7=28
5*2=10
5*3=15
5*4=20
5*5=25
5*6=30
5+5-1=9
Note we have to subtract 1 since 20 is counted twice.
The probability would be...
