Answer:
x = 7°
<GDH = 112°
<FDH = 192°
<FDE = 135°
Step-by-step explanation:
If DE bisects <GDH this means that <GDE = <EDH
Given <GDE = (8x+1)° and <EDH = (6x+15)° then;
8x+1 = 6x+15
8x-6x = 15-1
2x = 14
x = 7°
Since <GDH = <GDE + <EDH
<GDH = 8x-1+6x+15
<GDH = 14x+14
<GDH = 14(7)+14
<GDH = 98+14
<GDH = 112°
For <FDH,
Note that sum of angle on a straight line is 180°
<FDH = <FDG + <GDE + <EDH
<FDH = <FDG + <GDH
<FDG = 180-(43+8x+1)
<FDG = 180-44-8x = 136-8x
<FDH = 136-8x+112
<FDH = 248-8x
<FDH = 248-8(7)
<FDH = 248-56
<FDH = 192°
For <FDE;
<FDE = <FDG + <GDE
<FDE = 136-8x+8x-1
<FDE = 135°
Answer:
f-¹(x) = 2x – 8
f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0
Answer:
<h2>
8.54 units</h2>
Step-by-step explanation:
Given,
Perpendicular ( p ) = 8 units
Base ( b ) = 3 units
Hypotenuse ( h ) = ?
Using Pythagoras theorem:

plug the values

Evaluate the power

Calculate the sum

Squaring on both sides

Calculate
units
Hope this helps..
Best regards!
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

Here, v = -6.5 m/s, t = 1.5 s and a = -g

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
<h3>
Answer: 3 dollars per pound</h3>
Explanation:
The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.