XY and BD are parallel lines
X is a point on AB and C is a point on BD.
XB = XC
a) Complete this sentence.
Angle XBC = 55° because = ?
b) Work out angle BXC.
Give a reason for each angle you work out.
Answers
Answer:
a) they are corresponding angles
b) B=55° (proven)
C=55 (Angles opposite equal sides)
B+C+X=180° ( sum of angles of a triangle)
55°+55°X=180
110°+X=180°
X=180°-110°
X=70°
Related Questions
[tex]tanx^{2} -\frac{1}{3} =0[/tex]
Answers
These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29
Trigonometry expression
These are expression written as a function of sine, cosine and tangent.
Given
tanx² - 1/3 = 0
Add 1/3 to both sides
tanx² - 1/3 + 1/3 = 0 + 1/3
tanx² = 1/3
x² = arctan(1/3)
x² = 18.44
x =4.29
Hence the value of x from the given function is 4.29
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The Osborne family and the Carey family are seeing a movie together in the theater. At the concession stand, Mr. Osborne paid $10 for 2 large popcorns and 1 large drink that his family will share. Mrs. Carey bought 4 large popcorns and 1 large drink and paid $16. How much does each item cost? A large popcorn costs $ and a large drink costs $ .
Answers
Answer:
p = 3 dollars d = 4 dollars
Step-by-step explanation:
2 p + 1 d = 10 given
4 p + 1 d = 16 given Subtract second equation from first to get:
-2p = - 6
p = 3 dollars then use this value in either of the equations to find 'd'
2(3) + d = 10
d = 4
The cost of renting a bus for a field trip was split evenly among 20 students. At the last minute, 10 more students joined the trip. The cost of renting the bus was then evenly redistributed among all of the students. The cost for each of the original 20 students decreased by $1.50. What was the total cost of renting the bus, in dollars?
Answers
By solving a linear equation, we will see that the total cost for renting the bus is $90.
What was the total cost of renting the bus, in dollars?Let's say that the total cost is C.
When there are 20 students, each student should pay:
p = C/20
When the other 10 students are added (for a total of 30) each student pays:
p' = C/30.
We know that the cost for each of the original 20 students decreased by $1.50, so:
p' = p - $1.50
Then we have 3 equations to work with:
p = C/20
p' = C/30.
p' = p - $1.50
Now we can replace the first and second equations into the third one:
C/30 = C/20 - $1.50
Now we can solve this linear equation for C:
C/20 - C/30 = $1.50
C*( 1/20 - 1/30) = $1.50
C*(30/600 - 20/600) = $1.50
C*(10/600) = $1.50
C*(1/60) = $1.50
C = 60*$1.50 = $90
So the total cost for renting the bus is $90.
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What will be the output of the program? public class SqrtExample { 03 03 O NaN O Compilation fails public static void main(String [] args) { double value = -9.0; System.out.println( Math ,sqrt(value));
Answers
Answer:
216apower4 b + 512 abpower4
Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent.
Answers
Elyse is going to buy an around-the-world plane ticket, the number of different combinations of cities is mathematically given as
DF=960
What is the number of different combinations of cities?Generally, the equation for different combinations is mathematically given as
DF=(one city from Europe)*a city from Asia 8city from Africa* city from Australia
Therefore
DF=10C1*8C1*4C1*2C1
DF=10*8*4*3
DF=960
In conclusion, the number of different combinations of cities
DF=960
CQ
Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent. Continent Number of cities Europe 10 Asia 8 Africa 4 Australia 3 = Continent How many different combinations of cities does Elyse have to choose from?
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what is the following sum
Answers
Answer: D
Step-by-step explanation:
the answer is option D
A researcher develops a cage for a living cell in the shape of a square-based pyramid. A scale model of the cage is shown. What is the volume of the model?
A square pyramid-shaped cage with base edge labeled “20 micrometers” and height labeled “20 micrometers”.
Answers
The total volume of this squared-base pyramid based on the information provided is 2666 micrometers.
How to calculate the volume of the pyramid?The general formula to calculate the volume of a squared-based pyramid is:
base = area x height/ 3What is the volume of the model?Base area: 20 x 20 = 400
400 micrometers x 20/ 3 = 2666 micrometers.
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Paul has a spinner with 4 colors: green, yellow, blue, and orange. he spins the spinner 60 times and records each color it stops on. the results are shown in this table
Green-12
Yellow - 19
Blue - 14
orange - 15
Paul will spin the spinner an additional 450 times. how many times should he expect the spinner to stop on blue? SHOW WORK
Answers
it landed in blue 14 times in 60 spins for a 14/60 = 0.2333 probability.
450 spins x 0.2333 probability = 105 times
Answer: 105
I hope someone sees this!!! Can someone check my work please??
Answers
Hello there!
I will only explain the ones that do not appear correct to me. If you require further explanation, please let me know.
1] vertical
2] corresponding
-> These two angles are in corresponding places on points of the lines, so they are corresponding angles.
3] alternate interior
4] alternate exterior
-> These angles are on the "outside" of the parallel lines, and on "opposite" sides of the transversal. With this in mind, they are alternate exterior angles
5] same side interior
6] same side exterior
-> These angles are on the "outside" of the parallel lines, and on the same side of the transversal. With this in mind, they are same-side exterior angles
Joshua’s computer loan statement said he would pay $1,244.34 in simple interest for a three-year loan at 12.4%. How much did Joshua borrow to buy the computer?
Answers
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1244.34\\ P=\textit{original amount deposited}\\ r=rate\to 12.4\%\to \frac{12.4}{100}\dotfill &0.124\\ t=years\dotfill &3 \end{cases} \\\\\\ 1244.34=P[1+(0.124)(3)]\implies 1244.34=P(1.372) \\\\\\ \cfrac{1244.34}{1.372}=P\implies 906.95\approx P[/tex]
Calculate the volume of the figure below
Answers
Answer:
40 cm³Step-by-step explanation:
Calculate the volume of the figure below
find the volume of the two rectangular parallelopipeds and add the results2*2*6 + (6-2)*2*2 =
24+4*2*2=
24+16=
40cm³
The ratio opposite/hypoenuse describes which function
A. Cosine
B. Secant
C. Sine
D. Tangent
Answers
2-(-9)-8 i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed helppppppppppppp
Answers
[tex]2 - ( - 9) - 8 \\ 2 + 9 - 8 \\ 11 - 8 \\ 3[/tex]
In the first step multiply the negative after two and the negative with 9 (negative times negative equals to positive )the according to BEDMAS from left to right do addition and subtraction
Hope it helps
Please give brainliest
The following box-and-whisker plots represent two random samples of basketball players. The first sample represents
the heights of male players in the NBA. The second sample represents the heights of female players in the WNBA.
NBA
WNBA
t
80
70
85
90
65
60
75
Height (in inches)
Using the data from these random samples, compare the heights of male and female basketball players. Write your
answer in complete sentences.
UPLOAD
Answers
The answer would be A. 1 1/5.
We have given that,
The following box-and-whisker plots represent two random samples of basketball players. The first sample represents the heights of male players in the NBA.
What is the random sample?A simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals is chosen randomly, all with the same probability. Is a process of selecting a sample in a random way.
The second sample represents the heights of female players in the WNBA
Using the data from these random samples, compare the heights of male and female basketball players.
Write your answer in sentences complete
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Therefore, The answer would be A. 1 1/5.
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Answer:
The median height for the players in the NBA is 6 inches taller than the median of the WNBA. The overlap in the data shows that the tallest players in the WNBA are around the same height as the shortest players in the NBA.
What is the domain of the piecewise function?
A. x<0, x>4
B. -∞ 4
C. all real numbers
Answers
Answer:
C. All real numbers
Which inequality does the graph represent?
Answers
Answer:
B
Step-by-step explanation:
The shaded area is less than the equation of the line ....it is a dashed line, so the line itelf is NOT included
the equation of the line is y = -x + 1
so the inequality is
y < -x+1
Answer:
y<-x+1
Step-by-step explanation:
by shading the left side of the dotted line x is negative, and the plus one is the point plotted on the dotted line, the dotted line is the cause of the < symbol, if it was a greater than or equals too the line would be solid.
Soon you will be doing slope which is y= mx + b
and graphing that, find some online or ask ur parents for help and get a jump on them early :) hope i helped
All the real zeros of the given polynomial are integers. Find the zeros.
P(x) = x³ + 4x2 - 19x + 14
X =
Answers
Answer:
x = - 7 , x = 2 , x = 1
Step-by-step explanation:
note that
p(1) = 1³ + 4(1)² - 19(1) + 14 = 1 + 4 - 19 + 14 = 0
since p(1) = 0 , then x = 1 is a zero
using synthetic division
1 | 1 4 - 19 14
↓ 1 5 - 14
------------------------
1 5 - 14 0
quotient is x² + 5x - 14
equating quotient to zero
x² + 5x - 14 = 0
(x + 7)(x - 2) = 0
equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
then zeros are x = - 7, x = 2 , x = 1
Answer:
[tex]x = 1\\\\x =2\\\\x = -7[/tex]
Step-by-step explanation:
[tex]~~~~~~~x^3 +4x^2 -19x +14=0\\\\\implies x^3- x^2+5x^2 -5x -14x+14=0\\\\\implies x^2(x-1) +5x (x-1)-14 (x-1)=0\\\\\implies (x-1)(x^2 +5x -14) = 0\\\\\implies (x-1) (x^2 +7x -2x -14) = 0\\\\\implies (x-1) \textbf{[}x(x+7) -2(x+7) \textvf{]}=0\\\\\implies (x-1)(x-2)(x+7)=0\\\\\implies x = 1,~ x =2,~ x = -7[/tex]
Which values of a and b make this system of equations have infinitely many solutions?
2y + 16 = 6x
y = ax + b
a = -3, b = 8
a = -3, b = -8
a = 3, b = -8
a = 3, b = 8
Answers
What is the product of the 2x³ and the 4x²y-3xy²?
Answers
Answer:
8x⁵y - 6x⁴y²
Step-by-step explanation:
(2x³)(4x²y - 3xy²)
= 2x³ * 4x²y + 2x³ * -3xy²
= 8x⁵y - 6x⁴y²
Convert the following equation into standard form y=10x+12
Answers
Answer:
y = 10x + 12
y + (-12) = (10x + 12) + (-12)
y - 12 = 10x + 12 -12
x = [tex]\frac{y-12}{10}[/tex]
If kinaata goes for swimming lessons every 5 days while Wayo goes every 6 days. if both kinaata and Wayo had swimming lessons together at the pool today, after how many days will both meet again at the pool for lessons?
Answers
Step-by-step explanation:
we need the least or smallest common multiple for both numbers, 5 and 6.
this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :
6 has the prime factors 2 and 3.
5 has only 5.
so, the LCM is 2×3×5 = 30.
they will meet again after 30 days.
FYI -
the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.
A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of picture shows.fine the width of the frame around the picture
Answers
If the value of x is 4 cm. Then the width of the frame will be 12 cm.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of the picture shows.
Let x be the increase in length and width. Then we have
(16 - x)(30 - x) = 312
x² - 46x + 480 = 312
x² - 46x + 168 = 0
x² - 42x - 4x + 168 = 0
(x - 42)(x - 4) = 0
x = 42, 4
The value of x can be more than 16. Then the value of x will be 4.
Then the width of the frame will be
W = 16 - x
W = 16 - 4
W = 12 cm
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which of these corrections represents causation
Answers
The correct option that represents Causation is; D: as a total number of family member increases the amount of money that the family spends on food increases
What is the difference between Causation and Correlation?
Correlation is used to describe the kind of relation between two variables whereas causation is a relationship between the cause and effect.
This means that in Causation, the independent variable acts like a cause to effect the dependent variable.
Thus, the correct options as seen in the brainly linked attached is Option D: as a total number of family member increases the amount of money that the family spends on food increases
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Will works at a shoe store. For every 2 pairs of striped shoes he sells, he sells 3 pairs of neon shoes. Will sold 12 pairs of striped shoes. How many pairs of neon shoes did he sell?
A
12
B
8
C
30
D
18
Answers
Answer:
d
Step-by-step explanation:
12÷2×3=18
..........
If every 2 is 3, divide 12 by 2 to get 6 and then multiply 6 by 3 to get 18
13-3-2-1+6 = please show your work.
Answers
Answer:
the answer is going to be 13
Answer:
13
Step-by-step explanation:
Follow PEMDAS
13-3-2-1+6
13-3=10
10-2-1+6=
10-2=8
8-1+6
8-1=7
7 + 6=13
If 3x+4=133x+4=13, what is the value of x?
Answers
The value of x from the equation 3x + 4 = 31 and x + 4 = 13 is 9.
How to solve equation?3x + 4 = 31
x + 4 = 13
From equation (2)
x + 4 = 13
subtract 4 from both sides
x = 13 - 4
x = 9
Substitute x = 9 into (1)
3x + 4 = 31
3(9) + 4 = 31
27 + 4 = 31
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Solve, using the substitution method.
3m − n = 2
2m + n = − 7
(−1, −5)
(–10, –1)
(–2, –5)
(−5, 1)
Answers
Answer:
[3m - n = 2]
-3m - n + n = 2 + n
3m - n + 2
-3m/3 = n+2/3
m=1/3 n+2/3
Answer:
m=1/3n + 2/3
[2m + n = - 7]
-Let's solve for m.
2m+n=−7
Step 1: Add -n to both sides.
2m+n+−n=−7+−n
2m=−n−7
Step 2: Divide both sides by 2.
2m/2= −n−7/2
m= −1/2n + −7/2
Answer:
m= −1/2n + −7/2
Now It's Your Turn!!
Step-by-step explanation:
(Hope's it's Help)
[Keeps Safe]
Question 11 (1 point)
(03.06 MC)
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table
shows the value of the real estate after the first and second years:
Year
1
12
Value (in dollars) $104,271.02 $107,399.15
Which function best represents the value of the real estate after t years?
O a
f(t) = 101,234(1.03)
Ob
f(t) = 101,234(0.03)
f(t) = 104,271.02(1.03)
f(t) = 104,271.02(0.03)
OC
Od
Question 12 (1 point)
Answers
Answer:
f(t) = 101,234
Step-by-step explanation:
Find the volume of the
triangular prism.
3.6 cm
5.4 cm
9 cm
Answers
Answer:
174.96cm2
Step-by-step explanation:
V=lbh
=3.6×5.4×9
=174.96cm2
I don't knowif you want it in milliliters or litres so here are both of them
milliliters = 174.96
litres = 0.17496
You roll a number cube. What is the probability it will land on a number greater than 5?
Answers
Explanation: there’s 6 sides of a cube if you mark them 1-6 there only one side that you can land on that is greater then 5 which is six also if you need it in percent it’s 16.6%