Answers
9514 1404 393
Answer:
2 < x < 24.937
Step-by-step explanation:
Conceptually, the values of x are allowed to be between those that make angle ABC one of zero measure and that make angle ABD a straight angle.
That is ...
0 < 2x-4 < 180 -86
4 < 2x < 98
2 < x < 49
__
However, some study of this geometry convinces us that the largest that angle ABC can be is one that makes ∆ABC isosceles. In that case, AB = CB = DB, and B is the center of the circle through points A, C, and D. Trigonometry can be used to find the value of x in that case.
The radius CB of circle B must be such that the bisector of angle CBD intersects the midpoint of CD:
CB·sin(86°/2) = 14/2
Similarly, the bisector of angle ABC will meet the midpoint of AC:
CB·sin((2x -4)°/2) = 8/2
Equating expressions for CB gives ...
7/sin(43°) = 4/sin((x-2)°)
(x -2)° = arcsin((4/7)sin(43°))
x° = 2° +arcsin(4/7·sin(43°))
x ≈ 24.937
So, a revised upper limit on x puts the range of possible values as ...
2 < x < 24.937
Related Questions
A booster club paid for pizzas for an end of season party. They paid $13 for each pepperoni pizza and $11 for each plain pizza. The club bought a total of 18 pizzas for the party and paid a total of $212. Drag and drop the numbers to the boxes to create an equation which models this situation if x = the number of pepperoni pizzas and y = the number of plain pizzas bought.
Answers
Answer:
13x + 11y = 212
Step-by-step explanation:
total cost of purchasing an item = unit cost x total units purchased
total cost of purchasing pepperoni pizza = 13 × x = 13x
total cost of purchasing plain pizza = 11 × y = 11y
total cost of purchasing both items = total cost of purchasing pepperoni pizza + total cost of purchasing plain pizza
- 13x + 11y = 212
What is the prime factorization of 43? Enter your answer as a product of prime numbers, like 2 x 3 or as a single prime number, like 17.
Answers
Answer:
43
Step-by-step explanation:
43 is a prime number
Three numbers are in consecutive arithmetic progression. if the sum of the numbers is 18 and their products is 120. find the numbers
Answers
Answer:
2 6 10
Step-by-step explanation:
have :
a + b +c = 18
a*b*c = 120
a+c = 2*b => 3*b = 18 => b = 6
then a = 2, c = 10
How do you write 7.7 x 102 in a standard form?
Answers
Answer:
is this supposed to say 7.7 x [tex]10^{2}[/tex] ? if so then it's 770 (you move the decimal over 2 places to the right)
Step-by-step explanation:
7.7 × 10^2
is 770
hope it helps
what is the missing reason in the proof?
Answers
Answer:
i cant view the picture
Step-by-step explanation:
What is the lateral area of the figure below. Use 3.14 for pi and round to
two decimals. *
8 mm
4 mm
Answers
Answer:
[tex]838.67mm {}^{2} [/tex]
Step-by-step explanation:
Note
Area of a cone = 1/3pir squared * heightNeed help on this question asap pleasee
Answers
Answer:
9 pounds
that's the answer
Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6
Answers
Answer:
D. y = 1/4x + 6
Step-by-step explanation:
In the linear equation y = mx + b, m is the slope.
A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.
So, to find which equation has the least steep graph, find which one has the smallest slope.
Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.
So, the equation with the least steep graph is D. y = 1/4x + 6
Answer:D
Y= 1/4x +6
Step-by-step explanation:
Name five whole numbers that can be expressed as the difference of two perfect squares. Show the math!
Answers
Explanation :
25 - 16 = 9 or 5^2- 4^2 = 3
One pair is 25 and 16 and the other pair is 25 and 9.
I hope I helped u and answer your question :]
What is the common factor in the expression 6ba + 2ab? *
Answers
Answer:
2ab
Step-by-step explanation:
6ba + 2ab = 2ab(3+1)
= 2ab (4)
so, the common factor = 2ab
Answer:
2ab
Step-by-step explanation:
An investor paid $156,000 for a condominium in Texas in 2008. The value of the homes in the neighborhood have been appreciating by about 12% annually.
Select all the expressions that could be used to calculate the value of the house, in dollars, after t years.
Answers
Answer:
156000 [tex](1.12)^{t}[/tex]
156000 [tex](1+.12)^{t}[/tex]
those are both the same
Step-by-step explanation:
All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,
⇒ [tex]156,000 (1.12)^t[/tex]
Or, ⇒ [tex]156,000 (1 + 0.12)^t[/tex]
What is mean by mathematical expression?Mathematical expression is defined as the collection of the numbers and variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.
We have to given that;
An investor paid $156,000 for a condominium in Texas in 2008.
And, The value of the homes in the neighborhood have been appreciating by about 12% annually.
Now,
We can formulate;
The value of the house, in dollars, after t years is,
⇒ Amount of house = P (1 + r%)ⁿ
⇒ Amount of house = [tex]156,000 (1 + 0.12)^t[/tex]
⇒ Amount of house = [tex]156,000 (1.12)^t[/tex]
Therefore, We get;
All the correct expressions that could be used to calculate the value of the house, in dollars, after t years is,
⇒ [tex]156,000 (1.12)^t[/tex]
⇒ [tex]156,000 (1 + 0.12)^t[/tex]
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
I rlly need some help
Answers
Answer:
5/3π or 5.2
Step-by-step explanation:
30 / 360 = x / 20π
then x = 5/3π or 5.2
Answer:
5/3 [tex]\pi[/tex]
Step-by-step explanation:
30/360 * 2 [tex]\pi 10[/tex]
1/12 * 2 [tex]\pi 10[/tex]
20/12 [tex]\pi[/tex]
5/3 [tex]\pi[/tex]
The data in this table shows the hours of watching television per weekend and the mathematics marks for ten students. 1 6 3 2 10 8 0 4 5 2 11 Hours Watching TV per Weekend Mark (%) 80 55 70 75 35 45 85 75 50 70 40 a)
State the independent and dependent variables..
Independent -
Dependent -
Answers
Answer:
Independent - hours of watching television per weekend
dependent - mathematics marks
Step-by-step explanation:
The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable
The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.
The number of hours students spend watching tv would affect their performance on the test because it would determine the number of hours the students spend studying.
thus, the hours spent watching tv is the independent variable while the dependent variable is the score of the students
Put these numbers in order from least to greatest.
0.86, 0.54,5/6, and 0.44
Answers
Answer:
Because this fraction is where its value is at
Step-by-step explanation:
0.44 54. 5/6 0.86
Step-by-step explanation:
.44
.54
5/6 = 0.8333 which is smaller than
0.86
how many even numbers are between 11 and 30
Answers
Answer:
9 even numbers are between 11 and 30.
Step-by-step explanation:
12, 14, 16, 18, 20, 22, 24, 26, 28
Analyze the diagram below and complete the instructions that follow.
Answers
Complete the pattern.
676 + 100
676 + 101 =
676 + 102 =
676 + 103
Answers
676 + 100 = 776
676 + 101 = 777
676 + 102 = 778
676 + 103 = 779
Answer:
la primera respuesta es: 776
la segunda respuesta es: 777
la tercera respuesta es: 778
la cuarta respuesta es: 779
Step-by-step explanation:
espero que te ayude con la respuesta y gracias
A spinner is divided into 4 equal portions colored red, blue, green and yellow. If the spinner is spun, find the probability that it lands on Blue or Yellow, Red, Blue AND Yellow, and Green.
Answers
Answer:
red and blue
Step-by-step explanation:
trust
What reflection would place △ABC into the same orientation as △XYZ? Show what the diagram looks like after the reflection
Answers
Which function is graphed below
Answers
Answer:
Step-by-step explanation:
Graph given for the function has three segments therefore, its a piecewise function.
For a segment lying between (2, ∞)
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{1}[/tex]
= 2
y-intercept of the line = -2
Therefore, equation of the line will be,
y = 2x - 2
Second segment is a straight line,
Equation of the line will be,
y = 4
Third segment is a straight line.
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{1}{1}[/tex]
= 1
Equation of the line will be,
y = x + b
Since, this line passes through a point (6, 7)
7 = 6 + b
b = 1
Therefore, equation of the third segment will be,
y = x + 1
So the piecewise function will be,
f(x) = 2x - 2 For x < 2
4 For 2≤ x ≤ 5
x + 1 For x > 5
Use one of your new conjectures to find the lettered angles measures.
t+p =
Answers
Diagram attached
Answer:
72 degrees
Explanation:
From the diagram, angle on a straight line add up to 180 degrees.
180 degrees - 144 degrees = 36 degrees.
Sum of the angles in a triangle= 180 degrees
Angles x and the other are congruent(the marks from the diagram indicate).
Therefore sum of the congruent angles= 180 degrees - 36 degrees = 144 degrees
Angle x= 144/2= 72 degrees
What is the measure of RPQ
Answers
Answer:
239
Step-by-step explanation:
SP is the diameter so Arc RP is supplementary to Arc SR
[tex]31 + x = 180[/tex]
[tex]x = 149[/tex]
Arc PQ is supplementary to Arc SQ so
[tex]90 + x = 180[/tex]
[tex]x = 90[/tex]
Arc Addition:
[tex]149 + 90 = 239[/tex]
Make an inference I sit in my seat, as a lady at the piano plays a soft melody. Each chair in the auditorium is decorated with white flowers. Everyone is wearing pretty clothes with lace and silk. I am wearing a puffy pink dress. The lady at the piano plays a new song. Everyone stands, and the back doors of the auditorium open. The bride steps inside. Where am I?
Answers
Answer:
Standing in front of your seat
Which of the two data sets shown in the box
plots below has the greater mean?
Answers
Answer:
Step-by-step explanation:
Remember that the mean is average
Ex. Set A
Add then divide by the 8
A car covered 450km in 5 hours. find the speed in meters per second
Answers
Step-by-step explanation:
Hey there!
Given;
Distance (d) = 450 km = 450*1000 = 450000 m
Time(t) = 5 hours = 5*60*60 = 18000s
Now;
Speed (s) = Distance (d) /Time(t)
Or, s = 450000/18000
Or, s = 25m/s.
Therefore, the speed is 25m/s.
Hope it helps!
Answer:
The car has a velocity of 25 m/s.
Step-by-step explanation:
There are two ways to solve this problem.
First way :
450km = 450.000m
5h = 5x 3.600s =18.000s
v = s/t = 450.000 / 18.000 = 25m/s
Second way :
Velocity = speed/time = 450 / 5 = 90 km/h
90/3.6 = 25 m/s
Either way, the car has a velocity of 25 m/s.
What is the surface area of a cube that measures 4 inches on each side?
____ square inches
Answers
Answer:
96 Square inches
Step-by-step explanation:
because the formula of the surface of the cube is l x l x 6 so 4 x 4 x 6
excuse me for my bad English but I am italian
The answer heleplloolrkdkrkrkkfhrbebehhrehhdhf
Answers
Answer:
i dont know bro sorry
for it i hope it help
qnd nice pc
Simplify the expression....
Answers
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
Match the verbal expression (term) with its algebraic expression (definition).
Match Term Definition
Four less than an unknown value A) b + 4
Quotient of a variable and four B) y − 4
Some number to the power of four C) 4x
Four times an unknown value D) a4
Four more than some number E) z ÷ 4
Answers
Quotient of a variable by four is (E)
Some number to the power of four is (D)
I AM SUMMING
Four times and unknown value is (C)
Four more than an unknown value is (A)
What is the equation of a line that contains the point (2,-5) and is parallel to the line y=3x-4
Answers
Answer:
y = 3x - 11
Step-by-step explanation:
Parallel lines have the same slope so the relationship of x and y stays the same only the constant, b, changes
y = 3x + b
plug in point (2, -5) to find "b"
-5 = 3(2) + b
-5 = 6 + b
subtract 6 from both sides
-11 = b
The equation is
y = 3x - 11
Answer:
(2 , -5) are the points
then y =3x-x,let 4 be x
substitute 2&-5 in the line
-5 =3(2)-x
-5=6-x
-x=6 +5
=11
:x =-11
y=3x - (-11)
y =3x+11