Answers
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
Related Questions
GIVEAWAY TO GET 100 POINTS + BRIANLIEST IF YOU ANSWER WHATS 9+10 B)
Answers
Answer:
uhhh 21
Step-by-step explanation:
19
If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answers
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!
solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12
Answers
Answer: x =3; y = -2
[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]
Step-by-step explanation:
Answer:
x = 3, y = -2.
Step-by-step explanation:
5x + 6y = 3
2x - 3y = 12 Multiply this by 2:
4x - 6y = 24 Now add this to the first equation:
9x = 27
x = 3.
Substitute x = 3 in the second equation:
2(3) - 3y = 12
-3y = 12 - 6 = 6
y = 6 / -3
y = -2.
what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?
Answers
Answer:
8075.
Step-by-step explanation:
Volume of the prism
= 12 1/2 * 8 1/2 * 9 1/2
= 25/2 * 17 / 2 * 19/2
= 8075/8 cm^3
The volume of the small cubes = (1/2)^3 = 1/8 cm^3
So the number required = 8075 / 8 / 1/8
= 8075*8 / 8
= 8075.
Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?
Answers
Answer:
20 quarts
Step-by-step explanation:
Five gallons is equal to 20 quarts.
I hope it helps.
Answer:
20 quarts
Step-by-step explanation:
in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)
If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:
Answers
Answer: 50%
Step-by-step explanation:
(6000-4000)/4000= 2000/4000
=2/4=1/2
(1/2)100=50
generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3
Answers
Answer:
HURRYYYY PLEASE HELP ME T-T
Step-by-step explanation:
https://brainly.com/question/19692618
Can someone please explain this to me and help me
Answers
Answer:
ok
Step-by-step explanation:
hellllllllllllllllllllllllllp me plzzzzz
Answers
D. 7 miles
Step-by-step explanation:
26.5/4 =6.62
So the best estimate is 7 miles
Determine the value of x.
Question 8 options:
A)
2.2
B)
4.4
C)
2
D)
8.8
Answers
Because of 2.2 is the first one and the second one should be 4.4 so it B. 4.4
Answer:
The answer is: B) 4.4
Step-by-step explanation:
The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?
Answers
Answer:
60ft
Step-by-step explanation:
multiple the length by 2
15 times two equals 30
multiple the width by two
15 times two equals 30
add the total lengths and widths
30 plus 30 equals 60
ans=60
Lauren broght cupcakes for class of 24 students including herself. Each person received 1 cupcakes. Cupcakes come in pack of 7
Answers
Answer:
4 Packs
Step-by-step explanation: 24 put into groups of 7: there will be 3 full groups (three groups of seven) and one group will have only three in it. Therefore, 4 packs will be emptied. Hope this helps you !
Did the scale factor of 0.75 enlarge reduce or stay the same?
Answers
Answer:
[tex]\huge\boxed{\sf Reduces}[/tex]
Step-by-step explanation:
Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.
Thus the scale factor of 0.75 reduces the dilated image.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
-it reduces-
Step-by-step explanation:
good luck:)
If mZMRT = 133º , then which equation can be used to find g?
Answers
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
A carnival sold 450 tickets on Saturday. The ticket sales showed that 126 of the ticket sales were adult tickets. What percent of the tickets sold on Saturday were adult tickets?!PLEASE ANSWER!!!
Answers
Answer:
28%
Step-by-step explanation:
hope this helps, have a good day
plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.
Answers
Answer:
A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.
Speed = distance / time
Distance = speed × time
Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be
4 × 63 = 252 kilometers.
if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be
Time = distance / speed
= 252/56 = 4.5 hours
The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.
Let speed = s and let time = t
s varies inversely with t
Introducing constant of inverse variation k, it becomes
s = k/t
When s = 56, t = 4.5
56 = k/4.5
k = 4.5 × 56 =252
This is the distance
Step-by-step explanation:
Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of x and show that it simplifies to 5x squared -23x+12=0
Answers
Step-by-step explanation:
12/x + 6/(x-1) = 5
12(x-1) + 6(x) = 5(x)(x-1)
18x - 12 = 5x² - 5x
5x² - 23x + 12 = 0. (Shown)
Which one of these transformations move by sliding in any direction?
A.Translation
B.Rotation
C.Reflection
D.Dilation
Answers
Answer:
D. Dilation, sorry if i'm wrong ;)
Step-by-step explanation:
A recipe for fruit punch requires 5 cups of pineapple juice and 8 cups of ginger ale. Find the amounts of pineapple juice and ginger ale that must be used to produce different amounts of this punch.
Answers
Answer:
answer below
Step-by-step explanation:
simply multiply by different numbers so...
5/8 x 2 = 10/16
5/8 x 3 = 15/24
and so on; as long as it can reduce to 5/8, it works!
An employer's accountant has announced that
the budget for the next year must be cut by
33. How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735
Answers
The amount of budget cut from last year's budget which was $166,245 will be $54860.85 which is nearly $55,415 from the given option. Hence the correct option is (B).
What is the percentage?The percentage is the 1 of the hundred or simply the amount or value of any number or data in the range of 100 called percentage.
For example, if Ramesh got 87 marks out of 150 then it required a lot of attention to drawing a conclusion about Ramesh's marks but if I say Ramesh got 58% then it will be easier to think and draw any conclusion.
Given that last year budget was $166,245 and the cut was 33% so it means it will be 0.33 of the $166,245 so
$166,245 × .33 = $54860.85 but in option, it is not mentioned so the nearest answer among the option will be (B).
For more about the percentage
https://brainly.com/question/24159063
#SPJ2
what is the lenght of AB
Answers
Answer:
Uh I need more information to answer that.
Step-by-step explanation:
u only posted this: what is the lenght of AB. That isn't even how u spell length,
AB could be anything.
Can someone please help mee fast!!
Answers
Step-by-step explanation:
insta I'd :- itz_anurag_r
anyone msg me on insta plzzz I'm bored at home ❤️
Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car
Answers
Answer:
8000
Step-by-step explanation:
10000 x 20% = 2000
10000-2000= 8000
Need help id appreciate it
Answers
Answer:
x=14
Step-by-step explanation:
If the square from GAI are 6 cm, then the other half of the triangle is also 6 inches long. Because it is not an even sided triangle, all the sides shouldnt be the same size. If you multiply 6 by 2 you get 12. 7 times 6 is 42. 42 divided by 3 is 14. The value of X should be 14.
SOMEONE PLEASEEEE HELLLPP
Answers
Answer:
80ft
Step-by-step explanation:
check gogle and write the awenser down
Which of these functions are linear?
Choose all that apply.
Ay+ 4 = 2x
By=3-x?
с
X
0
1
2
3
4
у
-1
-0.5
o
-0.5
-1
D
X
-2
2.5
wlo
1
3.25
2
3.5
у
2.75
E
-51
-2
2
F
Answers
Surface area of 9cm, 10cm, and 15cm
Answers
Answer: The answer is 750 cm
Please help me out quickly
Answers
Answer:
I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me
Step-by-step explanation:
(x + 1)^2 -8 (x-1 +16)
Answers
Answer: x2−6x−119
Step-by-step explanation:
provided in the screenshot below
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answers
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains