Answer:
∠ 1,3,5,7 = 32°
∠2,4,6,8,= 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
therefore,
m∠1,3,5,7 = 32°
m∠2,4,6,8,= 148°
Answer:
Range is [0 , 7] for g(x)
Step-by-step explanation:
The range of f(x) is [0 , 1.75]
The range of g(x) is 4 times
4*0 = 0
4* 1.75 =7
Range is [0 , 7] for g(x)
Answer:
The total height of coconut Tree = H + 10ft = 11.77 ft
Step-by-step explanation:
Given as,
The height of Kalei = 6ft
The distance of Kalei from the coconut Tree = 10 feet
Angle of elevation of kalei up to the coconut on tree = 30°
<u>Note : look at the pic attache </u>
From figure it is mention that
Total height of Tree = 6 ft + H
So, Tan 30° = 
Tan 30° = 
∴ H = 10 Tan 30° = 10 × 0.577 Note : tan 30° = 0.577
i.e H = 5.77 ft
Hence the total height of coconut tree = 6 + 5.77 = 11.77 ft Answer
Answer:
34º
Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3 If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes
<span>(2 - 5 , 2 + 2) = (-3,4) </span>
When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes
<span>(-3,-4)</span>