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
PLEASEEEEE HELP ME IF YOU GET THIS QUESTION!!
Answers
Answer:
one and a quarter mile
please can i have brainliest
Jeremy is making a healthy ice cream using only ripe bananas and peanut butter, the recipe makes 4 servings and calls for a ratio of 5
bananas to 3 tablespoons of peanut butter if Jeremy has 30 bananas, how many tablespoons of peanut butter does he need
Tablespoons
Answers
Answer:
can u show me a pic of the question so it is easier
The healthy ice cream Jeremy is making has 30 bananas and requires 18 tablespoons of peanut butter.
What is a ratio?The ratio describes the amount of quantity in simplest form, a:b can be written as 'a/b' for convenience.
Given the healthy ice cream, Jeremy is making requires 5 bananas and 3 tablespoons of peanut butter.
From the given question itself, we can conclude that bananas and peanut butter are in direct proportion as the increase in one quantity will result in an increase of another quantity and we can write this in proportion and let the no. of tablespoons of peanut butter requires for 30 banans is x.
∴ 5 : 3 : : 30 : x.
Or
5/3 = 30/x.
5x = 90.
x = 18.
So, Jeremy needs 18 tablespoons of peanut butter for the 30 bananas he has.
learn more about ratio here :
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which list shows the numbers in order from least to greatest?
-2,-3-0-2-3
0,-3-2,2,3
-3-2,0,2,3
0,-2-3,2,3
Answers
Choice 3
Step-by-step explanation:
-3 is the smallest and 3 is the biggest number
i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))
Answers
Im sure it's -3 Because well thats what i got
Find the ratio of 2p per gram to £2.12 per kilogram
Answers
Answer:
the answer is 1.06
Step-by-step explanation:
what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2
Answers
Answer:
-1/2
Step-by-step explanation:
using rise over run its 1/-2 which is just -1/2
A ratio of 3 erasers and 6 pencils could be expressed as 3:6. If the number of erasers is represented by white circles and the number of pencils is represented by black circles, which is a correct representation of the ratio?
Answers
Answer:
It'd be C.
There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2
So the third representation would be the one that made the most sense.
Answer:
Option 3
Step-by-step explanation:
Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.
Could I get some help it’s important
Answers
Answer: yo plug it into desmos its ez
Step-by-step explanation:
Answer:
plot a point at (0,-7) and plot a point at (1, -4). Draw a line through those points.
Step-by-step explanation:
The equation tells you that your y intercept will be negative 7. The 3x means that your slope will be equal to up 3, and over 1 (or 3/1, which is equal to 3.)
Anybody can help me with this one?
Answers
Answer:
look pic
Step-by-step explanation:
the -1/4 is the slope and 5 is where you start
help asap plspls!! :)
Answers
Answer:
1/6
Step-by-step explanation:
1/3 ÷ 2 = 1/6
All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.
Answer:
1/3÷2=1/6
Result in decimals: 0.16666666666667
A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?
Answers
Answer:
8 thats how many pies and cakes you can do
Step-by-step explanation:
you have 20 minutes and 10 and the most cakes you can get with left over is 8
The pies and cakes should be made to maximize profits is 8 pies.
What is profit?Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.
Revenue minus costs equals profit.
Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.
The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.
Thus, the pies and cakes should be made to maximize profits is 8 pies.
To learn more about profit, refer to the link below:
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whats in improper fraction equal to 9 and 3/5
Answers
Answer:
48/5
Step-by-step explanation:
Answer: 48/5
9 multiplied by 5 is 45. Add three to get 48
Which expression shows the prime factorization of 30?
2 x 3 x 5
3 x 5 x 7
3 x 5 x 5
2 x 2 x 3
Answers
Hope I helped :)
Answer:
A
Step-by-step explanation:
because 2x3 equals 6
then 6x5 equals 30
( i did the math for the other ones and its a;)
Last month Maria worked 150 hours. Her friend, Sara, suggested that this month Maria should work 15% more hours than she did last month so she can save for Christmas gifts. If Maria takes Sara’s advice, how many hours will Maria work this month?
Answers
Answer:
Step-by-step explanation:
So, ahem if I am even close to giving you an accurate answer then the logical part of me in my brain is still working. If she worked 150 hours and she were to take Sarah's advice to work 15% more. We first need to know what 15% of 150 is to find that we can do 10 percent of 150 which we put 150. and we move that decimal over one place to the opposite of the side right. What do we get well we get 15.0 and we let that be. Then since we still need to find the other 5% of 150 we can take the 15.0 and divide by 2. We can do 14÷2=7 we can add that to the 15.0, and get 22, now we put that aside then we can do the 1÷2=.5. We can then do 22+.5=22.5. then we have to do 150+22.5=172.5
since it is 15% more than 150. Sorry if this is not very understandable,
incorrect, and confusing I tried. I hope that I helped with something. I try to trick you a bit I hope that you catch on. :)
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $8.66. For Account B, the simple interest eamed after 33 months is $34.65. If the interest rate is 3.3% for Account A and 2.1% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $. (Round to the nearest dollar as needed.)
Answers
Step-by-step explanation:
you have to defend saving account for account a decent wages and after 24 months in 26 is how can be the same creatures and after 30 months 34.6 $5 if the interest rate is 3.0% for accounting and private beach FL County how much is the first create account which account NG the most interesting person explain how the agency has baseball first round to the nearest Dollar is in the car so this guy if you know you know the one you want me to answer you come and tell me stop doing on since that was your own I mean if you have the correct answer you I hate you have to correct question because I can't see the question to answer because I just sold if interested to 2502 I can't see the real question here thank you
A one story house is 2,200 square feet. 40% of the house has a basement. How many square feet is the basement?
Answers
Answer:
880 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
2,200 ft²
40% (0.4) of the house is basement
Step 2: Evaluate
Set up: 2200(0.4)Multiply: 880Here we see that 880 ft² out of the 2200 ft² would represent the allocated space for the basement.
Answer:
880 square feetStep-by-step explanation:
Full story = 2200 square feet
Basement = 40% of the story
Basement is:
2200*0.4 = 880 square feetJack borrowed $1.50 from his friend Jenna every day for five days last week. What rational number represents how much Jack owed his friend last week?
Answers
Answer:
$7.50
Step-by-step explanation:
set up an equation: $ x days = total owed
1.50 x 5 = 7.50
What does x = if x multiplied by 7/3 = 1
Answers
Answer:
Step-by-step explanation:
X×7/3 =1
X=3/7
The solution to the system of equations shown is (2, 0).3x − 2y = 6x + 4y = 2When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14.Which system of equations will also have a solution of (2, 0)?6x - 4y = 6x + 4y = 26x − 4y = 62x + 8y = 2x + 4y = 27x = 146x − 4y = 67x = 14
Answers
the answer is c i got it on edge 2020
Answer:
c
Step-by-step explanation:
PLZ ANSWER WILL MARK BRAINLIEST
Answers
Answer:
I think the answer is C Angle-Angle-Side im not sure if im accurate but i hope it helps
Step-by-step explanation:
Alonso paid for repairs on his car, and 3
5
of the bill was for labor costs. How much was the total bill if the cost of the labor was $79.50? Let b = the amount of the total bill.
Which equation and solution is correct?
Five-thirds b = 79.50, and the total bill was $47.70.
Three-fifths (79.50) = b, and the total bill was $127.20.
Five-thirds b = 79.50, and the total bill was $212.00.
Three-fifths (b) = 79.50, and the total bill was $132.50.
Answers
Answer:
The answer to you question is D or the last one.
Step-by-step explanation:
I took the test on Edg
The equation that represent this situation is (3/5) * b = 79.50
Equation
An equation is an expression that shows the relationship between two or more numbers and variables.
Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.
For a labor of $79.50
(3/5) * b = 79.50
The equation that represent this situation is (3/5) * b = 79.50
Find out more on Equation at: https://brainly.com/question/13763238
A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!
Answers
Answer:
B Find the next two terms If it is geometric
What is the slope and the y-intercept of the line on the graph below?
b=
m=
Write an equation for this line in slope-
intercept form (y=mx+b).
Answers
Answer:
b=1
m=1/4
y=1/4x+1
Step-by-step explanation:
m is the slope, b is the y-intercept
Show me the steps to solving this equation. 3x + 2 = 14
Answers
Answer:
4
Step-by-step explanation:
multiply 3 by 4 to get 12 and add 12 to 2 and you get 14
Point-slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Answers
Answer:
y-2=1/8(x+5)
Step-by-step explanation:
1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.
Since it's -8, the opposite of it is 1/8.
2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.
y-2=1/8(x+8)
And that's your answer
The expression 2x + 3.4 is equal to ? for x =1.6.
Answers
Answer:
6.6
Step-by-step explanation:
The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.
Answers
Answer: The numbers are:
965
875
785
695
Step-by-step explanation:
We have a 3 digit number that can be written as:
a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds
b is the tens
c is the unit.
We know that:
"The sum of the tens digit and the hundreds digit of a number is three times the units digit."
a + b = 3*c
" 1/5 of the sum of all three digits is 1 less than the units digit."
(a + b + c)/5 = c - 1
Then we have the two conditions:
a + b = 3*c
(a + b + c)/5 = c - 1
From the first one, we can write:
(a + b)/3 = c
Replacing that in the other equation we get:
(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1
(4/3)*(a + b)/5 = (a/3 + b/3) - 1
(4/15)*(a + b) = (a + b)/3 - 1
(4/15)*(a + b) - (a + b)/3 = - 1
-(1/15)*(a + b) = -1
a = 15 - b
Then we can give different values for b, and find the values of a and c, where a and c must be positive.
b = 9
a = 15 - 9 = 6
Then:
c = (9 + 6)/3 = 5
(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).
This number will be:
695.
if b = 8, then:
a = 15 - 8 = 7
and c = 5, same as before.
the number is 785.
If b = 7, then:
a = 15 - 7 = 8
The number is 875
if b = 6, then:
a = 15 - 6 = 9
The number is:
965
PLEASEEE HELP ME PLEASEE!!
Answers
I need help with this question pleaseeee
Answers
Answer: 639
Step-by-step explanation:
i might be wrong but that's how i was taught! :)
Find the angle of rotation about the center of the square that maps A to C.
Answers
The angle of rotation to map A into C is 180°.
How to find the angle of rotation?The rotation is around the center of the square. Let's assume that the center coincides with the origin of a coordinate axis.
Then we would have A on the second quadrant and C on the fourth quadrant.
Then we need to apply a rotation of two quadrants, remember that each quadrant has an angle of 90°, then a rotation of two quadrants has an angle of 2*90° = 180°.
The correct option is 180°.
If you want to learn more about rotations:
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