Which expression gives the measure of angle
XYZ in the diagram below?
A. (154° + 46°)
B. 154° + 46°
c. 1/2 (154° -46° )
D. 154° - 46°
Answers
Answer:
C. 1/2(154-46) hope this helps :)
Step-by-step explanation:
The measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
What is angle ?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
We have,
Arc ST = 46°, and
Arc XZ = 154°
Now,
We know that the measure of the arc is same as that of central angle.
Now,
Join X and T,
Now,
We know that, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles.
So,
Angle XTZ [tex]=\frac{154}{2}[/tex]
And,
Angle SXT [tex]=\frac{46}{2}[/tex],
Now,
∠XTZ = ∠XYZ + ∠SXT [Exterior angle is equal to the sum of interior opposite angles]
So,
∠XYZ = ∠XTZ - ∠SXT
Now,
Substituting the values,
We get,
∠XYZ [tex]=\frac{154}{2}-\frac{46}{2}[/tex]
i.e.
∠XYZ [tex]=\frac{1}{2} (154-46)[/tex]
So, measure of angle XYZ is [tex]\frac{1}{2} (154-46)[/tex] .
Hence, we can say that the measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
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Related Questions
A boat travels at a rate of 18 kilometers per hour from its port. A second boat is 34 kilometers behind the
first boat when it starts traveling in the same direction at a rate of 22 kilometers per hour to the same port.
Let d represent the distance the boats are from the port in kilometers and t represent the amount of time
in hours. The system of equations ⎧
⎨
⎩
d = 18t + 34 d = 22t
can be used to represent this situation. How many
hours will it take for the second boat to catch up to the first boat? How far will the boats be from their
port? Use the substitution method to solve this real-world application.
Answers
The number of hours taken should be 8.5 hours
And, the distance should be 187 km.
Important information:The equation is d = 18t + 34 and d = 22t.The calculation is as follows:d = 18t + 34
d = 22t
Put the d value in the above equation
22t = 18t + 34
22t - 18t = 34
4t = 34
t = 8.5 hours
Now the distance is
= 22(8.5)
= 187 km
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The table below represents a function. Write a number from the given values below to complete the table of values.
Answers
The answer is -3/-1/2
Tap on a clip to paste it in the text box.
Consider the systems of equations below.
System A)
X^2 + y = 17
Y = -1/2x
System B)
Y = x^2 - 7x + 10
Y = -6x + 5
System C)
Y = -2x^2 + 9
8x - y = -17
Determine the number of real solutions for each system of equations.
System A) ____
SystemB) ____
System C) ____
Answers
Based on the systems of equations given, the number of real solutions for each system is:
System A - 2 solutions. System B - 0 solutions. System C - 1 solution. How many solutions will the systems of equations give?To find out the number of solutions, you should plot the equations on a graph.
When system A is plotted as shown attached, you notice that line y = 1/2x intersects x² + y² = 17 twice. It therefore has two solutions.
When system B is plotted, y = -6x + 5 does not intercept y = x² + 7x + 10 which means that there are no real solutions.
System C shows only one real solution because 8x - y = -17 intercepts y = -2x² + 9 once.
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Given m||n, find the value of x.
+
(6x+10)
(10x+10)°
Answers
Answer:
(6x+10)°=(6x+10)°[vertically opposite angle]
now,
6x+10+10x+10=180°[being cointerior angle]
16x=180-20
x=160%16
x=10°
apply the distributive property to create an equivalent expression
7(4p + 2q +3r) =
Answers
hope this helps !
you just multiply the parentheses by 7
calculate a61 for the sequence {an} ={-5,-7/2,-2,-1/2,1,...}
A. 173/2
B. 185/2
C. 85
D. 88
Answers
Answer:
C.-85
Step-by-step explanation:
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The nth term of an arithmetic sequence.
= a + (n - 1)d
The 61st term of the sequence is 85.
What is an arithmetic sequence?
It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
-5, -7/2, -2, -1/2, 1
a = -5
d = -7/2 + 5
d = 3/2
Now,
The nth term of an arithmetic sequence.
= a + (n - 1)d
Now,
n = 61
61st term:
= -5 + (61 - 1)(3/2)
= -5 + 60 x 3/2
= -5 + 30 x 3
= -5 + 90
= 85
Thus,
The 61st term of the sequence is 85.
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What is the coefficient of 7y
Answers
Answer:
7
Step-by-step explanation:
What is the factored form of the polynomial?
x +9x +20
Answers
Answer: (x - 5)(x + 4)
Answer:
(x+5)(x+4)
Step-by-step explanation:
A certain forest covers an area of 4000km squared. Suppose that each year this area decreases by 3.75percent. What will the area be after 14 years
Answers
Answer:
After 14 years, the area will be 2342.4 km squared.
Step-by-step explanation:
Since the area is decreasing, we can use the decaying exponential function
[tex]y = A(1 - r)^{t}[/tex]
where
A represents the initial area.r represents the rate at which the area changest is the time periodGiven
Initial Area A = 4000 km squared
Rate r = 3.75% = 3.75/100 = 0.0375
Time period t = 14
To Determine
The Area after 14 years = y = ?
Plug in the values in the formula
[tex]y = A(1 - r)^{t}[/tex]
[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]
[tex]y=4000\cdot \:0.9625^{14}[/tex]
[tex]y=2342.4[/tex] km squared
Therefore, after 14 years, the area will be 2342.4 km squared.
A study conducted on American families shows that 18% of these families have medical bills of more than $10,000. Find the probability that among 5 randomly selected American families, at least one has medical bills of more than $10,000.
Answers
Answer:
the probability is 0.6293
Step-by-step explanation:
The computation of the probability is shown below:
Given that
n = 5
P = 0.18
As it represents the binomial distribution
P(X = x) = [tex]^NC_x[/tex]× p^x × (1 - p) ^(n - x)
P(X > 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1 - ( [tex]^5C_0[/tex]× (0.18) ^0 × (0.82) ^5)
= 1 - 0.3707
= 0.6293
hence, the probability is 0.6293
Is this good led me know pl
Give GHJ=XJZ find each missing measure
Answers
Answer/Step-by-step explanation:
Given that ∆GHJ is congruent to ∆XYZ, this:
<G = <X,
<H = <Y = 38°
<J = <Z,
GH = XY = 27 ft
HJ = YZ = 27 ft (two sides of an isosceles ∆ are the same)
GJ = XZ = 18 ft
a. GJ = 18 ft
b. XY = 27 ft
c. ZY = 27 ft
d. m<H = m<Y (corresponding angles)
m<H = 38° (substitution)
e. m<Z = (180 - 38)/2 (base triangles of an isosceles ∆ are equal)
m<Z = 142/2
m<Z = 71°
f. m<J = m<Z (corresponding angles)
m<J = 71° (substitution)
The table shows transactions in a checking account.
January
-38.50
126.30
429.40
-265.00
February
250.00
-135.20
35.50
-62.30
March
-14.00
99.90
-82.70
-1.50
April
-86.80
-570.00
100.00
-280.10
a) Find the total of the transactions for each month.
January
February
March
April
b) Find the mean total for the four months.
Answers
Step-by-step explanation:
a) Jan = 252.20
Feb = 88
Mar = -198.10
Apr = -836.90
b) 173.70
I got the mean by adding all the totals together and dividing it by 4 bcors there's 4 months.
A company has actual unit demand for three consecutive years of 124, 126, and 135. The respective forecasts for the same three years are 120, 120, and 130. Which of the following is the resulting MAD value that can be computed from this data? A. 3 B. 5 C. 15 D. 123
Answers
Answer:
B. 5
Step-by-step explanation:
Computation for Which of the following is the resulting MAD value that can be computed from this data
Using this formula
MAD Value=[(Actual unit demand-Respective forecasts)/Number of years]
Let plug in the formula
MAD Value = [(124 - 120) + (126 - 120) + (135 - 130)]/3 years
MAD Value =(4+6+5)/3 years
MAD Value = 15/3 years
MAD Value = 5
Therefore the MAD value that can be computed from this data is 5
Angle A and Angle B are supplementary angles. If the measure of angle A = (6x + 10)° and the measure of angle B = (4x +30), then find the measure of angle B.
Answers
Answer:
86°
Step-by-step explanation:
Given:
A = (6x + 10)°
B = (4x +30)°
Two angles are supplementary if they sum up to 180° ;
A + B = 180°
Now insert the parameters and solve;
6x + 10 + 4x +30 = 180
10x + 40 = 180
10x = 140
x = 14
So;
B = (4x +30)° = 4(14) + 30 = 86°
pls help me with this question . I dont understand..
Answers
Answer:
2, 4 the domain
5, 4 the range
PLZ PLZ PLZ HELP ME I AM TIMEDDDDDDDDDDDDDDDDDDDDDDDD
Answers
Answer:
The answer is A
Step-by-step explanation:
If you look at the bottom it is near -6 so if you reflect it it would be at 6 but it was 2 units down at 4
Answer:
its the last one
Step-by-step explanation:
the shape is across the x axis so you don't do 2 or 3 then you do it and it is 2 units different not 1 so it is the last one
Which of the given expressions results in 0 when evaluated at x = 5?
ОА.
5x(x-7)
OB. (x + 7)(x-2)
OC. (x-8)(x - 5)
OD
(x + 5)(x-8)
Answers
Answer:
C (x-8)(x-5)
Step-by-step explanation:
(5-8) = -3
(5-5) = 0
-3 x 0 = 0
What is the distance formula?
Answers
Answer:
B
Step-by-step explanation:
d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
d = distance
(x1, y1) = coordinates of the first point
(x2, y2) = coordinates of the second point
If it takes 4 hours to cook a 7-pound turkey, how many hours will it take to cook a 19-pound turkey?
Answers
Answer:
Roughly 11 to 11 and 1/2 hours
Step-by-step explanation:
Roughly 11 to 11 and 1/2 hours.
Hope this helps, if so please mark the brainliest, peace and love
Answer:
it would take 28 hours
Step-by-step explanation:
Find the value of k so that the remainder is -26 for
(x^4+kx^3-7x^2 +8x-10)+(x+4).
Answers
578 because yea yea yea yea yea
Two out of three balls in a Multi-colored package are pink. How many balls in a package of 21 will be pink?
_____________ Pink Balls
Answers
Answer:
14 pink balls
Step-by-step explanation:
you would devide 21 by 3 and that would be 7, then you multiply by 2 and you get 14.
S-95-5
34
A pair of running shoes that usually sells for $125 has been reduced by 15%. The special
sale sign says " take an additional 20% off.” What is the final selling price of the running
shoes? What is the total percentage decrease in the price?
Answers
Answer:
Solution in photo
Step-by-step explanation:
What is the solution to the inequality −2x+8<3(2x−4)?
Answers
Answer:
x>5/2
Step-by-step explanation:
What is the slope of the line that passes through points (0,7) and (-3, 0)? O A Α. 7 ОВ. 7 O C. 13 OD 3
Answers
Answer:
[tex]m=\frac{7}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, 7)
Point (-3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{0-7}{-3-0}[/tex]Subtract: [tex]m=\frac{-7}{-3}[/tex]Simplify: [tex]m=\frac{7}{3}[/tex]Can someone put a website to help me understand this?
Im sure its not hard I just don't know how to do it
Answers
Answer:
67
Step-by-step explanation:
Since the diagonals in a rectangle are congruent, AC=BD and
7x+18=10x-3
We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in
18=3x-3
Next, add 3 to both sides to get
21=3x
Divide both sides by 3 to get
x=7
Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67
Which can be used to prove angle 3 is congruent to angle 6
Answers
Answer:
alternate interior angle
Step-by-step explanation:
Which statement best describes the function represented by the graph
Answers
Answer:
Where is the graph?
Step-by-step explanation:
serena invests the $2500 for 3 years and earns $255 what was the rate intrest
Answers
Answer:
idek
Step-by-step explanation:
2 sides equations
1. 15x-8x= 5x +48
2. 4-2y= 4y
3. 4-5x= 3+x
4. 2x+8=2x-5
5. 4y+9= 4y+9
Answers
Answer:
15x-8x-5x=48
3x=48
or X=16
4=4y+2y
or 4= 6y
or 4/6=y
or y=2/3
4-5x= 3x
or 4=5x+3x
or 4=8x
or 4/8=X
or X=2
2x=2x-5+8
or,2x= 2x-13
or 2x+2x=13
or 4x=13
or X= 13/4
or X =3.25
4y=4y+9-9
or 4y=4y+0
or 4y-4y=0
or 0=0
Isaiah has $20 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table. Prices at Four Bowling Alleys Bowling Alley Price per Game A $4.25 B $5.25 C $3.75 D $3.50 Which can he afford? 4 games at bowling alley B 5 games at bowling alley C 5 games at bowling alley A 6 games at bowling alley D Mark this and return
Answers
Answer:
b is correct
Step-by-step explanation:
Answer:
B: 5 games at bowling alley C
Step-by-step explanation: