Hi there!
We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
Answer:
Step-by-step explanation:
1. Erosion patterns
(a) Western Beach
In 15 yr, Western Beach erodes from 100 ft to 70 ft.
The rate of erosion is 30 ft/15 yr = 2 ft/yr.
(b) Dunes Beach
In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.
The rate of buildup is 75 ft/15 yr = 5 ft/yr.
Beaches with equal width
The western beach loses 2 feet each year, every 5 years the beach loses 10 feet. Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.
2.From the table, it appears that the beaches will have the same width sometime in year 11 (2006).
wester beach at 11 years it was 78.
dunes beach it was 75.
and these are the most closest value beatween two beaches
3. even if the rate remains constant we wont be able to have same width . because the width of weatern beach is decreasing and dunes beach is increasing. so the year their width was almost equal was year 11th. they will never have the same width because western beach is going down in width and dunes is going up.
hope it helps. hope i get brainlist
The Vertex is the pinnacle of a given parabola, it is also represented as the maximum or minimum value value.
The Equation given is "<span>y=-x^2-2x-5"
The vertex for this parabola is located at (-1,-4).
-I hope this is the answer you are looking for, feel free to post your questions here on brainly in the future. </span>
Answer:
the time percentage is 17%
Step-by-step explanation:
The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:
L denotes the event in which a person is lying.
NL denotes the event in which a person is not lying.
C denotes the event in which that lie detector works correctly
NC denotes the event in which lie detector is not working correctly
Now
P(C|L) =0.8
And,
P(NC|L) is
=1 - .8
= 0.2
P(C|NL) =0.9
P(NC|NL) is
= 1 -.9
=.1
P(L) = 0.7
P(NL) is
= 1 - .7
= .3
Now
P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)
=. 2 × .7 + .1 ×.3
=. 14+.03
= 0.17
Hence, the time percentage is 17%
