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
The difference between two whole numbers is 9. Twice the smaller number is 6 more than the larger. What is the smaller number?
Answers
Explanation:
27/3= 9
3x2= 6
The smaller number is 15
let
the larger number = x
the smaller number = y
Therefore,
The difference between the two whole numbers is 9 can be express as follows:
x - y = 9Twice the smaller number is 6 more than the larger. Therefore,
2y = x + 6Combine the equation.
x - y = 9
-x + 2y = 6
y = 15
x - 15 = 9
x = 9 + 15
x = 24
Therefore,
The larger number = 24
The smaller number = 15
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the radius of a circle is 7 kilometers. What is the circle’s area?
Answers
anna worked 3 hours a day for seven days. she made a total of 94.50. how much did she make per hour?
Answers
Answer:
31.5
Step-by-step explanation:
just divide the numbers
Suppose that y varies directly with x, and y = 10 when x = 25.
(a) Write a direct variation equation that relates x and y.
Equation:
(b) Find y when x = 6.
y =
Answers
Answer:
Equation: y = 0.4x
y = 2.4
Step-by-step explanation:
Use the direct variation equation, y = kx, where k is a constant
Plug in x and y:
y = kx
10 = k(25)
Solve for k:
0.4 = k
So, the equation is y = 0.4x
Then, use this equation to find y when x = 6:
y = 0.4x
y = 0.4(6)
y = 2.4
A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
a)
Let's say the direct proportion as,
y = kx
Given that y = 10 when x = 25.
10 = k(25)
Solve for k,
0.4 = k
Therefore, the equation will be y = 0.4x
y = 0.4x
b)
The value of y when x = 6
y = 0.4(6)
y = 2.4
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What is the slope and y-intercept of these equations?
y=-2/3x-6
y=3x-6
Answers
Answer:
slope=-2/3 y inter= -6
slope= 3 y inter= -6
Step-by-step explanation:
PLEASE HELP! CORRECT ANSWERS ONLY!
Answers
Need help for geometry.
Answers
Answer: The first.
Step-by-step explanation: If you draw out a triangle and lable the points on each point with values from each triangle, you get J=M, K=N, and L=O. The first is the only one that proves it.
PLEASE EXPLAIN STEPS
Answers
Answer:
C. m<C = m<F
Step-by-step explanation:
this is because in their triangle names, they are in the same spot (third letter of the name)
if they are in the same spot, they have to be congruent
same goes for the other letters, <A has to be congruent to <D and <B has to be congruent to <E
solve k/2 - 2k + 1=7
Answers
Answer:
=
−
4
Step-by-step explanation:
2
−
2
+
1
=
7
Answer:
Ok that other answer is invalid the actual answer is = -4
Step-by-step explanation:
If you need a step by step let me know :)
18% of the cars in the parking lot are blue. If there are 150 cars in the parking lot , how many cars are blue ?
Answers
Answer:
27 cars are blue
Step-by-step explanation:
if you have 150 cars and 18% are blue, you will have to multiply 0.18 x 150 and that equals to 27, so 27 cars are blue
a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected local households from 8am to 5pm during the week and finds that 56% of them bake at least twice a week
Answers
Answer:
Step-by-step explanation:
The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.
Jake has a piece of rope that is 5.5 yards long. What is the length, in inches, of Jake's rope?
O 180.5 inches
O 187.2 inches
O 186 inches
O 198 inches
Answers
Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants.
Part A
Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50?
Answers
Answer:
25 more
Step-by-step explanation:
Please help! I will give brainliest to the correct answer!
Answers
Answer:
Use desmos graphing calculator. Thats basically the answer to everything that involves graphing. gimme brainliest >:D
Step-by-step explanation:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can identify the lines by the sign of the slope and the value of the y-intercept. Each point of interest is at the intersection of a line with positive slope and a line with negative slope. So, you can identify the pair of lines by their two different y-intercepts.
Clockwise from lower left (3rd quadrant), the pairs of y-intercepts associated with the intersection of interest are ...
2, -1 . . . . 2 is associated with positive slope2, 22, -1 . . . . 2 is associated with negative slope2, -3-1, -3If the answer choices are designated A–E, left to right, the corresponding list is (again, clockwise from lower left) ...
DCBAEIs precipitation a function of month? Explain why or why not, in at least
two full sentences.
Answers
Answer:
I cannot see the question
Step-by-step explanation:
A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.
Answers
Answer:
The equation of the parabola is (x + 4)² = -16(y + 1)
Step-by-step explanation:
The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where
The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p∵ The focus at (-4, -5)
∴ h = -4
∴ k + p = -5 ⇒ (1)
∵ The directrix at y = 3
∴ k - p = 3 ⇒ (2)
→ Add equations (1) and (2) to find k
∴ 2k = -2
→ Divide both sides by 2 to find k
∴ k = -1
→ Substitute it in equation (1) to find p
∵ -1 + p = -5
→ Add both sides by 1
∴ -1 + 1 + p = -5 + 1
∴ p = -4
→ Substitute the values of h, k, and p in the formula above
∵ (x - -4)² = 4(-4)(y - -1)
∴ (x + 4)² = -16(y + 1)
∴ The equation of the parabola is (x + 4)² = -16(y + 1)
PLEASE ANSWER MY QUESTION I BEG I GIVE BRAINLIEST FAST EXTRA POINTS PLSPSLPLSPLS IMAGE INCLUDED
Answers
The y-intercept of any function is the value of the function when x = 0.
The y-intercept of f(x) is f(0) = 4(0) - 1. This is equal to -1.The y-intercept of g(x) is g(0), which we can see from the graph is 2.The y-intercept of h(x) is h(0), which is cos(0 + 2pi). This is equal to 1.Therefore, g(x) has the greatest y-intercept.
Which two expressions are equivalent?
(F was wrong) H 7(x − 3) and 7x − 7 • 3
g 7(x − 3) and 7x − 4 j 7(x − 3) and 7x + 7 • 3
Answers
Answer:
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
Step-by-step explanation:
Equivalent expressions are those expressions that simplify to the same expression i.e. the result of both expressions is the same. There is no change of sign or variable or any quantity.
Option H:
The two expressions are:
7(x − 3) and 7x − 7 • 3
[tex]7(x-3) = 7x - 21\\7x - 7.3 = 7x-21[/tex]
It can clearly be seen that both the expressions result in same expression
Hence,
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?
Answers
10x= 45
x= 4,5
girl= 6*4,5= 27
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answers
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
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A baker has three banana muffin recipes. Recipe AAA uses 333 bananas to make 121212 muffins. Recipe BBB uses 555 bananas to make 242424 muffins. Recipe CCC uses 111111 bananas to make 484848 muffins.
Order the recipes by number of bananas per muffin from least to greatest.
Answers
Answer: Recipe Buses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.
Step-by-step explanation:
Compare rational numbers
Which of the following inequalities are correct?
Choose all answers that apply:
0 >
3
7
P
Te
Report a problem
Stuck? Watch a video or use a hint.
2 of 7 -OOOOOO
Check
Answers
Answer:
[tex]0 > - \frac{3}{7} \\ - \frac{2}{7} > - \frac{3}{7} [/tex]
Step-by-step explanation:
Only the third option is wrong.
is 9.68888888... a rational number
Answers
Answer:
rational
Step-by-step explanation:
because of the dec
PLEASE HELP MEH ON THIS ASAP!!!!
Answers
Answer:
b
Step-by-step explanation:
Answer:
option B
Step-by-step explanation:
a is located in the left side of 0 . HENCE IT IS A NEGATIVE NUMBER . b & c are on the right side of 0. HENCE BOTH ARE POSITIVE NUMBER
In option B , it's given that -a > -c . If we'll verify this statement , we'll find that when we put the negative sign in a , the all totla value of a becomes positive BECAUSE 'a' WAS A NEGATIVE NUMBER.
Now if we put a negative sign in c , the all total value becomes negative BECAUSE 'c' WAS A POSITIVE NUMBER.
By comparing -a & -c , we'll get to know that :-
-a > -c
Kenny is on the local swim team for the summer and has swim practice
five days per week. The schedule is the same each day. The team swims in
the morning and then again for 3 hours in the evening. If he swims 30
hours per week, how long does he swim each morning. Write and solve
the equation. You must show the equation and solved solution in order to
receive credit. *
Answers
Answer:
She swims for 3 hours each morning.
Step-by-step explanation:
To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:
X + 3 x 5 = 30
X + 3 = 30/5
X = 6 - 3
X = 3
Therefore, Kenny swims for 3 hours in the morning.
How much of a circle does a 100-degree angle turn through?
1. 1
2. 100/180
3. 50/360
4. 100/360
Answers
0.55
0.13
0.00027
1) Which pair of triangles is congruent by Side - Side - Side?
Answers
all sides are congruent, so it has side-side-side congruence :)
The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .
Required:
The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.
Solution;
The given information in option [1] are;
A pair of congruent alternate interior angles, and a pair of angles in option [1] are congruent by Angle-Side-Angle rule of congruency.Option [2]
The information given in option [2] are two angles and an adjacent side, therefore;The length of the triangles in option [2] are congruent by Angle-Angle-Side rule of congruencyOption [3]
From the given parameters, the rule of congruency for option [3] is Side-Angle-Side congruencyOption [4]
The triangles have a common side that is shared.3 tic marks and 2 tic mark indicating that the corresponding sides are congruent are placed on the other two sides.Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.
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What’s the answer to the problem Help me
Answers
Answer:
$2000 can get 250000 sheets of papers
Step-by-step explanation:
[tex]500/4=125[/tex]
[tex]125*2000=250000[/tex]
Which of the following is a proportional relationship? SELECT ALL THAT APPLY
A)
[tex] \frac{2}{3} = \frac{8}{12} [/tex]
B)
[tex] \frac{6}{7} = \frac{12}{13} [/tex]
C)
[tex] \frac{15}{20} = \frac{9}{12} [/tex]
D) None of the above
Answers
Answer:
a
Step-by-step explanation:
gajansvxhchcjwiqaau
Helen borrowed money from her aunt to pay for college expenses. The graph below shows the amount left
on the loan as it is paid off over time. Write a linear equation that describes the amount, A, that Helen owes her
aunt to the number of months, n, since she borrowed the money. Show your work that supports your answer
Answers
Answer:
[tex]y = -100x + 13000[/tex]
Step-by-step explanation:
See attachment for graph
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (0,13000)[/tex]
[tex](x_2,y_2) = (130,0)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{0 - 13000}{130 - 0}[/tex]
[tex]m = \frac{- 13000}{130}[/tex]
[tex]m = -100[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 13000 = -100(x - 0)[/tex]
[tex]y - 13000 = -100x[/tex]
Make y the subject
[tex]y = -100x + 13000[/tex]
Hence, the line equation is:
[tex]y = -100x + 13000[/tex]