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:u
Step-by-step explanation:
V/4-15=29
Multiply each term by 4
V - 60 = 116
V = 116 + 60
V = 176
hemisphere and cone
Step-by-step explanation:
Answer:
- B.
.
Step-by-step explanation:
<u>Step 1:</u>
<u>Step 2:</u>
<u>Step 3:</u>
- Factoring

- The first term is,
its coefficient is 1 . - The middle term is, -p its coefficient is -1 .
- The last term, "the constant", is +11
- Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
- Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -1 .
- -11 + -1 = -12
- -1 + -11 = -12
- 1 + 11 = 12
- 11 + 1 = 12
-
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
<u>Final Solution:</u>