Answer:
<u>/</u><u> </u>3=<u>/</u><u> </u>5 { alternate anglea}
<u>/</u><u> </u>5+<u>/</u>6 =180° {straight angle}
<u>/</u><u> </u>6=180-26
<u>/</u><u> </u>6=154°
hope it helps
<h3>stay safe healthy and happy.</h3>
Answer:
<h2>1 < x < 6 ⇒ x ∈ (1, 6)</h2>
Step-by-step explanation:
3x - 8 > -5 <em>add 8 to both sides</em>
3x > 3 <em>divide both sides by 3</em>
x > 1
2x - 7 < 5 <em>add 7 to both sides</em>
2x < 12 <em>divide both sides by 2</em>
x < 6
From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
Answer:
see the explanation
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the time in hours
y ----> the distance in miles
<em>Find the value of k</em>
For the point (4,2268)

The slope represent the speed of the airplane
so
The linear equation is

Part 1 :
The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.
Part 2 :
The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours
Therefore
(4y+6) +y = 46
We can combine the like terms:
5y + 6 = 46
Subtract 6 on both sides:
5y+6-6=46-6
Therefore 5y =40
Divide by 5 on both sides
5y/5 = 40/5
Therefore
y= 8
We found y but to find the value x we use y.
X= 4y+6
Therefore
x= (4*8)+ 6
Therefore
x= 32 + 6
x= 38.
Answer:
Segment AC = 10 units
segment AD =
angle 1 = 45°
angle 2 = 90°
AE = BE = CE = DE = 5
SEGMENT AC = AE + CE
= 5 + 5
= 10 UNITS
SEGMENT AD = 5² + 5²
= √50
= 7.071
= 7 UNITS
ANGLE 1 = 90° ÷ 2
= 45°
ANGLE 2 = 360° ÷ 4 / 180° ÷ 2
= 90°