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ch4aika [34]
3 years ago
11

GEOMETRY. image attached

Mathematics
1 answer:
Inessa [10]3 years ago
3 0
\bf \measuredangle DFC=\cfrac{1}{2}(\widehat{BG}+\widehat{CD})\implies 
\measuredangle DFC=\cfrac{\widehat{BG}+\widehat{CD}}{2}

you know what the arcCD is, and what the angle DFC is, so
solve for the arcBG
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Point G is between F and H on line FH. Use the given information solve for x and then find FG AND GH.
Viktor [21]

Answer:

X=6

FG=31

GH=22

Step-by-step explanation:

Equation: FG+GH=FH

rewrite with values

4x+7 + 5x-8 = 53

combine like terms

9x-1 = 53

add 1 to both sides

9x = 54

divide by 9

x = 6

use 6 end solve for FG and GH

FG = 4(6) + 7 = 31

GH = 5(6) - 8 = 22

Check your answers.. Do FG and GH add up to equal FH (53)?

31 + 22 = 53

I hope this made sense.

7 0
3 years ago
Frankie runs every third day Ryan runs every sixth day.In the next 100 days how many times will Frankie and Ryan run on the same
Papessa [141]

Answer:

16 times

Step-by-step explanation:

To find how many times Frankie and Ryan run on the same day in the next 100 days, find the common multiples of 3 days and 6 days to 100 days

Frankie (every third day) = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99.

Ryan (every sixth day) = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Common multiples of 3 days and 6 days = 12, 18, 24, 30, 36, 42, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

Frankie and Ryan will run on the same day 16 times in the next 100 days

6 0
3 years ago
A machine that produces a major part for an airplane engine is monitored closely. In the past, 12% of the parts produced would b
melamori03 [73]

Answer:

Wanna have sex?

Step-by-step explanation:

7 0
2 years ago
Yoko is going for a walk. She takes 5 hours to walk 12.5 miles. What is her speed?
Dennis_Churaev [7]

Answer:

2.5mph (miles per hour)

Step-by-step explanation:

Simple, 12.5/5 = 2.5 mph (miles per hour)

8 0
3 years ago
Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?
Sveta_85 [38]
^{(1)}\ \ 4x^5-12x^4+6x=5x^3-2x\ \ ^{(2)}\\\\  \left\{\begin{array}{ccc}y=4x^5-12x^4+6x\ \ \ ^{(1)}\\y=5x^3-2x\ \ \ ^{(2)}\end{array}\right


Answer: system nr 4.
7 0
3 years ago
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