The given details are illustrations of addition and subtractions of fractions. The scuba driver is at an elevation of 
ft below the sea level.
Given that:
--- the first dive
---- the additional dive
From the question, we understand that the diver starts at the sea level.
This is represented with 0ft.
So, the diver's elevation (d) is calculated as follows:
--- we use subtraction because the diver is below the sea level
So, we have:
Convert fractions
Take LCM
Reduce fraction
The above value means that the diver's elevation is at ft below the sea level.
Read more about fractions at:
brainly.com/question/18134643
Answer:
B. 30x
D. x(45-15)
Step-by-step explanation:
The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.
45x -15x = x(45 -15) = 30x
<h2>
Answer and Explanation to questions 13,14,15</h2>
13) 
as given in the question.
14) 
Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15) 
and 
. So, 
<h2>
Answer and Explanation to questions 16,17,18</h2>
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>
Answer and Explanation to questions 19</h2>
∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
Answer:
58°
Step-by-step explanation:
If m AM=125°, then m∠AOM=125°.
If m∠MAF=75°, then m∠MOF=150° (because central angle MOF subtends on the same arc as inscribed angle MAF).
Thus,
m∠FOA=360°-150°-125°=85°.
If mEF=31°, then m∠EOF=31° (as central angle subtended on the arc EF).
Hence,
m∠EOA=m∠EOF+m∠FOA=31°+85°=116°.
Angle EOA is central angle subtended on arc EA, angle AME is inscribed angle subtended on arc AE, thus
m∠AME=1/2m∠EOA=58°.
Answer:
117 degrees
Step-by-step explanation:
So we already know that one angle is 38 degrees, so we have that one. The angle, 101 is exterior, and we have to subtract 180 from that to get the interior angle. We get a difference of 79. Since the sum of a triangle's interior angles are 180, we have to add 38+79 to get 117. Then, we have to subtract it from 180 to get the value of the interior angle as 63 degrees. Because x is on the outside, we have to again subtract 63 from 180 to get the missing value of x as 117.
