Answers
1. It is where the bisectors meet. This fact creates the next statement.
2. It is the same distance from the incenter to the sides of triangle. Three lines each drawn from the incenter perpendicularly to the sides will create 3 equal lines. These lines will each be equal. Put another way AI = BI = CI which are radii for the incircle.
Any two of AI, BI, and CI and make them equal to each other.
3x + 7 = 5x - 11 Now you can just use algebra to solve. Add 11 to both sides
3x + 7 + 11 = 5x
3x + 18 = 5x. Now subtract 3x from both sides.
18 = 5x - 3x
18 = 2x
x = 9
You should really check this. Do this by equating CI to either AI or BI. I leave it to you to figure out which one I choose.
Check
=====
This will be short so you can fill in the steps for yourself.
3x + 7 = 52 - 2x
5x = 45
x = 45/5
x = 9
Related Questions
Write an equation of the line with a slope of 2 that passes through the point (2,0)
Answers
[tex] y = mx + b [/tex]
m is the slope. We are told m = 2.
Now we have
[tex] y = 2x + b [/tex]
We need to find b, the y-intercept. We are given a point, (2, 0). We replace x with 2 and y with 0. Then we solve for b.
[tex] 0 = 2(2) + b [/tex]
[tex] -4 = b [/tex]
Now that we know that b = -4, we replace b with -4.
[tex] y = 2x - 4 [/tex]
Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is
[tex]y=2x-4[/tex]
What is the line of equation?
The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.
The numerous points which together form a line in the coordinate axis are represented as a set of variables [tex]x, y[/tex] to form an algebraic equation, which is referred to as an equation of a line.
As we know the line of the slope is
[tex]y=mx+b[/tex]
where [tex]m[/tex] is the slope we have [tex]m = 2.[/tex]
So it would be
[tex]y=2x+b[/tex]
Given the point, [tex](2, 0)[/tex]
Now, we replace [tex]x[/tex] with [tex]2[/tex] and [tex]y[/tex] with [tex]0[/tex].
Now, we solve for [tex]b[/tex].
So,
[tex]0=2(2)+b\\b+4=0\\b=-4[/tex]
Since we get [tex]b = -4[/tex], we replace [tex]b = -4[/tex]
i.e., [tex]2x-4[/tex]
Hence, the line with a slope [tex]2[/tex] that passes through the point [tex](2,0)[/tex] is
[tex]y=2x-4[/tex]
To know more about the line of equation
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simplify the radical expression State any restrictions (n^4 -11n^2 +30) / (n^4 -7n^2 +10)
Please show steps!
Answers
-reduce
-then simplify the product
(n-squareof 6) x (n+sqaureof 6) / (n-sqaureof2) x (n+squareof 2)
and your answer will be
n^2-6 / n^2-2
Answer:
screenshot shows the answer but: n^2-6/n^2-2
Step-by-step explanation:
n^4-11n^2+30/n^4-7n^2+10
simplify the numerator
rewrite n^4 as (n^2)^2
and let u substititue for all occurences of n^2
u^2-11y+30/n^4-7n^2+10
factor u^2 - 11u+30 using the AC method.
(u-6)(u-5)/n^4-7n^2+10
(n^2-6)(n^2-5)/(n^2-5(n^2-2)
Cancel the common factor, and n^2-6/n^2-2 is your answer.
Excluded values/restrictions are n= -sqrt5 n= -sqrt2, also n= sqrt5 n= sqrt2
Find the circumstances of the circle
Answers
On this case it is asked you to find the circumference of a circle with a diameter of 3 meters, so you will use the formula C=2πr.
C=2πr
C=2(3.14)(3)
C=18.84 meters
The circumference of the given circle is 18.84 meters.
based on the given information ,which statement best explains whether the quadrilateral is a parallelogram
Answers
Answer:
the answer is (it cannot be determined from the information given)
Suppose that an individual has a body fat percentage of 18.9% and weighs 149 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Answers
Keith had 1 1/2 cups of flour.he used 5 2/3 cups to make bread.How many cups of flour does Keith have left
Answers
Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
Answers
Your Turn: In the diagram, AB = 12, DX = 2.5, and BX = 5. Find CD. Show all work.
Solution:
In ΔABX and ΔCDX,
∠CDX=∠ABX=90°
Also,∠CXD=∠AXB (as shown in figure)
∠DCX=∠BAX, as two angles of the triangle are equal. The third angle is also equal.
So ΔCDX≈ΔABX
Hence, the ratio of sides must be equal.
[tex] \frac{CD}{AB} =\frac{DX}{BX} =\frac{CX}{AX} [/tex]
Now, using,
[tex] \frac{CD}{AB} =\frac{DX}{BX} [/tex]
[tex] \frac{CD}{AB=12} =\frac{DX=2.5}{BX=5} [/tex]
[tex] \frac{CD}{12} =\frac{2.5}{5} [/tex]
Now, To solve for CD, Let us multiply by 12 on both sides
[tex] \frac{12*CD}{12} =\frac{12*2.5}{5} [/tex]
[tex] \frac{1*CD}{1} =\frac{30}{5} [/tex]
[tex] CD =\frac{6}{1} [/tex]
CD=6 Answer
What are the asymptotes of the graph of f(x) ?
Answers
when you graph the equation the horizontal line is on Y=0 & 20
answer y=0 & Y=20
What is 59.69 written in expanded form
Answers
Final answer:
The expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.
Explanation:
59.69 written in expanded form can be expressed as:
50 + 9 + 0.6 + 0.09
5 * 10 + 9 * 1 + 0.6 * 0.1 + 0.09 * 0.01
5 * 10 + 9 * 1 + 6 * 0.1 + 9 * 0.01
50 + 9 + 0.6 + 0.09
Therefore, the expanded form of 59.69 is 50 + 9 + 0.6 + 0.09.
Final answer:
The number 59.69 written in expanded form is 50 + 9 + 0.6 + 0.09. Each term represents a digit according to its place value, with tens, ones, tenths, and hundredths places accounted for respectively.
Explanation:
Writing the number 59.69 in expanded form means expressing each digit according to its place value. Expanded form is a way of writing numbers to see the math value of individual digits. The number 59.69 would be broken down as follows:
50 + 9 + 0.6 + 0.09
Each term represents a digit in the number: '5' is in the tens place, so it is represented as 50; '9' is in the ones place, so it is simply 9; '6' is in the tenths place, so it is represented as 0.6; '9' is in the hundredths place, so it is represented as 0.09.
When performing calculations, particularly in subjects such as chemistry, scientific notation is often used to express large or tiny numbers efficiently. For example, to enter a number in scientific notation into a calculator, you must know the correct process, which can vary based on the calculator model. Consulting the instructor or the calculator's manual is advisable if there are any doubts.
Furthermore, working with scientific notation involves understanding how to properly write and interpret the exponents, which indicate how many places the decimal point has been moved.
answer asap, Ill give brainliest, show work
Steve can paint a room three times as fast as Billy. When they work together, Steve and Billy can paint a large room in 4 hours. How many hours would it take Billy to paint it by himself?
Answers
If Steve does 3 times the work, we can conclude that he did 3/4 of the job. Billy did 1/4 of the job in 4 hours. We only painted 1/4 of the room in 4 hours.
That means it would take him 16 hours to complete one room. 4*4= 16.
It would take him 16 hours to paint a large room by himself.
I hope this helps!
~kaikers
You survey 67 employees, and 30 respond that their job satisfaction is high. What percentage of your employees have high job satisfaction?
Answers
Answer:
Percentage of employees have high satifaction of tthe job = 44.78%
Explanation:
In a company there are 67 employees
after survey only 30 employees give the high satisfaction feedback.
So, percentage of employess have high job satisfaction = [tex] \frac{Survey result}{Total employees} *100
[/tex]
= [tex] \frac{30}{67}*100 [/tex]
= 0.44776*100
= 44.78% Final answer
What is the area of the triangle whose vertices are (0,0), (3,0) and (0,4)?
Answers
Since one of the points is at the origin, then you can take the number point on the x axis and multiply it by the point on the y axis, and you get 12. To find the area of a triangle, you must use base x height divided by 2. Divide 12 by 2 to get 6.
Hope this helped!
Richard records the weight of his two pets in a table, as shown. After how many weeks were the pets the same weight? What was their weight at that time? Pet 1 Week Weight (grams) 0 400 2 800 Pet 2 Week Weight (grams) 0 500 2 700 At 1 week, they both weighed 600 grams. At 2 weeks, they both weighed 500 grams. At 3 weeks, they both weighed 650 grams. At 4 weeks, they both weighed 1,000 grams.
Answers
0 - 400 0 - 500
1 - 600 1 - 600
2 - 800 2 - 700
3 - 1000 3 - 800
Option A - At 1 week, they both weighed 600 grams.
Answer:
After week 1 both the pets were having same weights of 600 gms.
Step-by-step explanation:
As given in the question weights of two pets are
Week weight of pet 1(in gm) weight of pet 2(in gm)
0 400 500
1 600 600
2 800 700
3 1000 700
In this table weights of the pets at 0 wk and 2 wk has been given only and we have calculated the weights by averaging their weights at 1 and 3 wk.
1). weight at 1 week = (weight at 0 wk + weight at 2 wk)/2
weight of pet 1 = (400+800)/2 = 600 gm
weight of pet 2 = (500 + 700)/2 = 600 gm
2).weight at 2 week = (weight at 1 wk + weight at 3 wk)/2
Therefore weight after 3 week = 2×weight after 2 week - weight after 1 week.
weight of pet 1 = 2×800 - 600 = 1600-600 =1000 gm
weight of pet 2 = 2×700 - 700 = 700 gm.
Now we have got the answer from the table formed that after 1 week both the pets were of same weight 600 gm.
Please help What is the value of d?
Answers
Based on that rule, we can say
d+100 = 180
d+100-100 = 180-100
d = 80
Answer: 80
What is the answer for A?
What values of c and d make the equation true? mc011-1.jpg c = 2, d = 2 c = 2, d = 4 c = 6, d = 2 c = 6, d = 4
Answers
We can simplify the equation by first cubing both sides
= 162x^cy^5 = (27x^6y^3)6y^d
= 162x^cy^5 = 162 x^6y^3y^d
dividing both sides by 162
= x^cy^5 =x^6y^3y^d
equating the values with similar bases
x^c = x^6, therefore c=6
and y^5=y^3y^d
y ^5 = y^(3+d)
hence, 5 = 3+d
thus, d= 2
Therefore, the values of d and c that will satisfy the equation are, c =6 and d=2
The answer is C.
c=6 d=2
1. What is the constant of variation for the relationship f(x) = 40x?
2. Which equation is the direct variation equation if f(x) varies directly with x and f(x) = -12 when x=6
Answers
2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x
Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible. The ambulance ride costs $1400. How much would Jayce pay for an ambulance ride?
Answers
The amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.
What is deductible amount?The deductible amount is the amount which has to be paid by the customer against an insurance lost.
This amount is subtracted from the insurance amount, which one is claimed against the claim.
Jayce’s insurance company pays for 90% of the cost of an ambulance ride, after he pays a $250 deductible.
As the ambulance ride costs $1400. Thus the ambulance cost after the deductible is,
[tex]C=1400-250\\C=1150[/tex]
Here, the Jayce’s insurance company pays for 90% of the cost of an ambulance ride. Thus, the 10 percent amount should be pay by the Jayce's.
Now, the amount which is left after the insurance company paid to Jayce's is,
[tex]A=\dfrac{10}{100}\times1150\\A=115[/tex]
Hence, the total amount paid by Jayce is,
[tex]A=115+250\\A=365[/tex]
Hence, the amount which would Jayce pay for an ambulance ride for the claim to the Jayce’s insurance company is $365.
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A family size container of macaroni holds sixteen 3/4 cup servings. A chef prepares meals using 1-cup bowls. How many bowls can the chef prepare from one family sized container?
Answers
= 16 servings * 3/4 cups
= (16*3)/4
= 48/4
= 12 cups
Since the container holds 12 1-cup servings, the chef can prepare 12 1-cup servings.
Hope this helps! :)
Answer:
The answer is 12 cups.
Step-by-step explanation:
A family size container of macaroni holds 16 [tex]\frac{3}{4}[/tex] cup servings.
A chef prepares meals using 1-cup bowls.
So, the number of bowls, the chef can prepare from one family sized container is = [tex]16\times\frac{3}{4}[/tex]
= [tex]4\times3=12[/tex] bowls
Therefore, the answer is 12 cups.
In right triangle PQR, P and Q are complementary angles. The value of sin Q is 9/41. What is the value of cos P?
Answers
Final answer:
In right triangle PQR, sin Q = 9/41. To find cos P, we need to determine the length of the hypotenuse PR. Once we have PR, we can use the cosine function to find cos P.
Explanation:
In a right triangle, the sine of an angle is the length of the side opposite the angle divided by the length of the hypotenuse. So, in triangle PQR, sin Q = opposite/hypotenuse = PQ/PR = 9/41.
Since angles P and Q are complementary, their sum is 90 degrees. Therefore, angle P = 90 - angle Q.
Now, using the Pythagorean theorem for triangle PQR (PQ^2 + QR^2 = PR^2), we can find PR. Since PQ = 9 and QR = 41, we have: 9^2 + 41^2 = PR^2. Solving for PR gives us PR ≈ 41.297.
Now that we have PR, we can find cos P using the cosine function: cos P = adjacent/hypotenuse = QR/PR = 41/41.297 ≈ 0.993.
In a right triangle, sin Q = 9/41. To find cos P, we can use the identity cos(90 - x) = sin(x). So cos P = sin(Q) = 9/41.
Explanation:In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the hypotenuse. In this case, sin Q = 9/41, which means that the length of the side opposite Q is 9 and the length of the hypotenuse is 41. Since P and Q are complementary angles, P = 90 - Q. Therefore, cos P = cos(90 - Q).
Using the identity cos(90 - x) = sin(x), we can substitute the value of Q to find cos P. cos P = sin(Q) = 9/41.
Find m<A. Round to the nearest tenth.
A.
49.5°
B.
53.1°
C.
63.4°
D.
66.4°
Answers
Can you solve an angle measures 36° more than the measure of a complementary angle. what is the measure of each angle
Answers
x = 90 - x + 36 add 90 and 36 together.
x = 126 - x Add x to both sides.
2x = 126
x = 126 /2
x = 63
The complementary angle is 90 - 63 = 27
The question is is 63 36 bigger than 27
27 + 36 = 63 and the angles are
Answer 27o and 63o
(-7/8)(-3/4)
A:6/7
B:-21/32
C:21/32
Answers
I pretty sure
the area of the green square is 9ft squared. the area of the red square is 16ft squared. what is the area of the yellow square
Answers
Answer:
25ft^2
Step-by-step explanation:
9 + 16 = 25
Answer: The answer to this given basic math question about finding the area of the yellow square is 25 feet squared.
Step-by-step explanation: Mmmm, that was easy, so anyway, here is a basic step in order to find the area of the yellow square:
Add green and a red square with the given feet squared that looks in the equation form like this: [tex]9+16=25ft^{2}.[/tex]I hope that my given short answer with my given short step-by-step explanation is very helpful to your own basic math question about finding the area of the yellow square, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
What is the approximate volume of the cone? Use 3.14 for π . 1206 cm³ 2170 cm³ 3260 cm³ 6510 cm³ Outline of cone with a dotted line rising from middle of base to the point. Line is labeled 8 cm. A second dotted line extends horizontally from middle of base to its edge. Line is labeled 12 cm.
Answers
[tex]V=\frac{1}{3} \pi (12^2)(8)[/tex]
Substituting 3.14 for pi we have:
[tex]V=\frac{1}{3}(3.14)(12^2)(8) = 1205.76 \text{cm}^3[/tex]
The required approximate value volume of the cone is v = 1206 `cm³.
Given that the Height of the cone = 8 m
The Radius of the cone = 12 m
We have to find,The approximate volume of the cone .
What is the volume of a cone?The volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.
Where V is the volume, r is the radius and h is the height.
The volume of the cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
Where, π = 3.14
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\\\\ V = \dfrac{1}{3} \pi (8)^3 (12) \: \rm unit^3[/tex]
V = 1206 cm³
Hence, The required approximate value volume of the cone is v = 1206 `cm³
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How measuring angles could be useful in thge real world?
Answers
Which expression can be used to find the number of liters in 15 quarts?
Answers
Answer:15 quarts/1 x 0.95 liter/1 quart
Step-by-step explanation:
Larissa wants to inscribe a regular hexagon in a circle using only a compass and straightedge. She will construct a circle and finds its center. She will then perform the following steps.
Step 1: Plot a point on the circle to represent a vertex of the hexagon. Place the compass on this point and draw an arc to cut the circle. This represents the next vertex of the hexagon.
Step 2: Without adjusting the width of the compass, place the compass on this vertex and draw an arc to create the next vertex.
Step 3: Repeat the process to get a total of 6 vertices.
Step 4: Draw a line between successive pairs of vertices to form the regular hexagon.
What is the error in Larissa's construction?
A. She did not change the width of the compass when constructing the different vertices.
B. She did not set the width of the compass to the radius of the circle.
C. She did not set the width of the compass to the diameter of the circle.
D. She did not construct two perpendicular bisectors to construct two diameters of the circle.
Answers
Explanation:
1) If she sets the compass to an arbitrary width to draw the arc to cut the circle, the point obtained will not be to the right distance from the first vertex.
2) All the adjacent vertices on a regular polygon have the same distance one from each other.
3) In the hexagon that distance is the same radius, which you can see becasue you can form six equilateral triangles inside the circle, whose side lengths are the radius.
4) So, she should set the width of the compass to the radius of the circle.
Given the functions f(x)= [tex] \frac{1}{x-2} + 1 [/tex] and g(x) = [tex] \frac{1}{x+5} + 9[/tex]
Which statement describes the transformation of the graph of function f onto the graph of function g?
The graph shifts 8 units right and 7 units down.
The graph shifts 8 units left and 7 units up.
The graph shifts 7 units right and 8 units down.
The graph shifts 7 units left and 8 units up.
Answers
Transformation of functions:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
To graph y = f (x) -k, move the graph of k units down.
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
To graph y = f (x + h), move the graph of h units to the left.
f (x) = (1 / (x-2)) + 1
To graph y = f (x) + k, move the graph of k units up.
h (x) = (1 / (x-2)) + 1 + 8
To graph y = f (x + h), move the graph of h units to the left.
g (x) = (1 / (x-2 + 7)) + 1 + 8
g (x) = (1 / (x + 5)) + 9
Answer:
The graph shifts 7 units left and 8 units up.
If f(x) = –x3, g(x) = 3x2 – 1, and h(x) = 2x + 5, what is the degree of [f o g o h](x)?
a-2
b-3
c-5
d-6
Answers
Answer:
Option d: 6
Step-by-step explanation:
Find f(g(h(x))).
h(x)=2x+5
g(h(x)) = 3(2x+5)^2 -1 (substitute h(x) in)
f(g(h(x)))= -[3(2x+5)^2 -1]^3 (substitute g(h(x)) in)
Since it asks for the degree of the function, that means we must look for the variable with the highest degree. In this case, after distributing and simplifying out the last equation, we will find that the variable x has the highest degree of x^6, or 6.
Can one angle of a parallelogram be equal to 40° and another one 50°? Justify your reasoning.
Answers
If the two are one after another, then they are not supplementary, which a parallelogram requires.
If they are in opposite corners, they must be equal. That's another property of parallelograms.