Answers
Given:
A figure of a construction.
To find:
The correct option that represent the given construction.
Solution:
We know that, if a transversal line intersect two parallel lines, then the corresponding angles are equal.
In the given figure, two corresponding angles are constructed by using the compass.
Since the corresponding angles are equal, therefore the construction represents the parallel lines through a point.
Therefore, the correct option is B.
Related Questions
PLZ HELPPP I need to pass this!!
Answers
Answer:
x=-1
Step-by-step explanation:
the middlepoint is where its symetrical, and so you take the x part of the point. the point is (-1,4), and all we need is x, so you have x=-1
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the
and replaces it back in the bag. He mixes the balls in the bag and then picks another
ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Answers
Answer:
(a) Tree (see diagram)
(b) (i) 9/64 (ii) 3/8
Step-by-step explanation:
3 black, 5 white, picks two at random with replacement.
SEE DIAGRAM FOR EXPLANATIONS
(a) Tree (see diagram)
(b)
(i) 9/64
(ii) 3/8
In the given problem we have 3 black ball and 5 white ball, the probability tree be constructed as per ball picks from bag.
(a) Refer the attached figure for the probability tree.
(b)
(i) The probability that Paul picks two black balls is [tex]\dfrac{9}{64}[/tex].
(ii) The probability that Paul picks a black ball in his second draw is [tex]\dfrac{3}{8}[/tex].
Given:
The bag contain 3 black and 5 white balls.
(a)
Refer the attached figure for the construction of probability tree.
(b)
(i)
Since the getting two black ball are independent event so multiply the branch B ( refer attached figure)
[tex]P(\rm two\: black)=\dfrac{3}{8}\times\dfrac {3}{8}\\P(\rm two\: black)=\dfrac{9}{24}[/tex]
Thus, the probability that Paul picks two black balls is [tex]\dfrac{9}{64}[/tex].
(ii)
There should be two outcomes either (B,B) or (W, B).
From the attached figure,
[tex]P(\rm B,B)=\dfrac{9}{64}[/tex]
[tex]P(\rm W, B)=\dfrac{15}{64}[/tex]
Calculate the probability of second ball black.
[tex]P(\rm second\: ball\: black)=P(B, B) + P(W, B)\\P(\rm second\: ball\: black)=\dfrac{9}{64}+\dfrac{15}{64}\\P(\rm second\: ball\: black)=\dfrac{3}{8}[/tex]
Thus, the probability that Paul picks a black ball in his second draw is [tex]\dfrac{3}{8}[/tex].
Learn more about probability here:
https://brainly.com/question/11234923
13 52
— = —
6 X
Solve for x please answer quickly
Answers
Answer:
1/24
Step-by-step explanation:
13/6x = 52
1/6x = 52/13
1/6x = 4
1 = 4(6x)
1 = 24x
24x = 1
x = 1/24
What is the biggest possible answer you can get by putting
one pair of brackets into the calculation below? Show your working.
9 - 4 + 5 x 3
Answers
Answer:
9-4+(5x3)
Step-by-step explanation:
9-4+15
24-4
20
Find the slope and y-intercept of the line.
y=7/4x-10
Answer
-10;7/4
Answers
Answer:
The slope is 7/4 and the y intercept is -10
Step-by-step explanation:
y=7/4x-10
This equation is written is slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 7/4 and the y intercept is -10
Which function is represented by this graph?
Answers
the answer for this question is A
The sum of two numbers is 19 and there differnce is 5
Answers
Answer:
x = 12 , y = 7
Step-by-step explanation:
Let the numbers be x and y
Sum of the numbers, x + y = 19 -------- ( 1 )
Difference of the number , x - y = 5 -------- ( 2)
( 1 ) + ( 2 ) => 2x = 24
x = 12
Substitute : x in ( 2 ) => 12 - y = 5
=> 12 - 5 = y
=> 7 = y
which equation is the inverse of the y=7×^2-10?
Answers
Answer:
option B
Step-by-step explanation:
Given :
[tex]y = 7x^2 - 10[/tex]
Replace x and y :
[tex]x = 7y^2 - 10 \\[/tex]
Now solve for y :
[tex]x = 7y^2 - 10 \\\\x + 10 = 7y^2 - 1 0+ 10[/tex] [tex][ \ adding \ 10 \ on \ both \ sides \ ][/tex]
[tex]x + 10 = 7y^2\\\\\frac{x + 10 }{7 } = \frac{7y^2}{7}[/tex] [tex][ \ dividing\ by \ 7 \ on \ both \ sides \ ][/tex]
[tex]\frac{x+ 10}{7} = y^2\\\\\pm \ \sqrt{\frac{x+ 10}{7}} = y[/tex]
I think the choose (2)
[tex]y = - + \sqrt{ \frac{x + 10}{7} } [/tex]
6x = 1/2(2x + 5)
Solve for x step by step
Please answer quickly
Answers
Answer:
x = 1/2
hope it helps
have a nice day
Answer:
maybe x=3.5
Step-by-step explanation:
6x= 1/2 (2x+5)
we take the 1/2 and distribute it into (2x+5) so we end up with
6x= 1x (or just x) + 2.5
We subtract 2.5 from both sides of the equation and we end up with
3.5x= 1x
we then need to isolate the x, so we divide both sides of the equation by x
and then we end up with
3.5= x/x, which ends up just being
3.5=x
Let A = { 1 , 4 } and B = { 2 , 3 , 5 }.Find × and find the number of relations from A to B
Answers
Given:
The two sets are:
[tex]A=\{1,4\}[/tex]
[tex]B=\{2,3,5\}[/tex]
To find:
The [tex]A\times B[/tex] and the number of relations from A to B.
Solution:
If A and B are two sets, then
[tex]A\times B=\{(x,y)|x\in A, y\in B\}[/tex]
We have,
[tex]A=\{1,4\}[/tex]
[tex]B=\{2,3,5\}[/tex]
Then,
[tex]A\times B=\{(1,2),(1,3),(1,5),(4,2),(4,3),(4,5)\}[/tex]
If number of elements in set A is m and the number of element in set B is n, then the number of relations from A to B is [tex]2^{m\times n}[/tex].
From the given sets, it is clear that,
The number of elements in set A = 2
The number of elements in set B = 3
Now, the number of relations from A to B is:
[tex]2^{m\times n}=2^{2\times 3}[/tex]
[tex]2^{m\times n}=2^{6}[/tex]
[tex]2^{m\times n}=64[/tex]
Therefore, the required relation is [tex]A\times B=\{(1,2),(1,3),(1,5),(4,2),(4,3),(4,5)\}[/tex] and the number of relations from A to B is 64.
its the number 7 can u guys help me
Answers
Answer:
54
Step-by-step explanation:
Angle 2 and Angle 3 are vertical angles
Vertical angles are congruent ( equal to each other )
So if angle 2 = 54 then angle 3 also equals 54
Answer:
∠3 = 54°
Step-by-step explanation:
54° and ∠3 are vertical angles, which means they are equal .
54° = ∠3
in a right triangle ABCD prove that angle abc is equal to angle CAD
Answers
Which fact is not used to prove that ABC is similar to DBE?
Answers
Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand climbing rope. An important characteristic of any climbing rope is its tensile strength. Descent produces the three-strand rope on two separate production lines: one in Bozeman and the other in Challis. The Bozeman line has recently installed new production equipment. Descent regularly tests the tensile strength of its ropes by randomly selecting them to various tests. The most recent random sample of ropes, taken after the new equipment was installed at the Bozeman plant, revealed the following:
Bozeman; x1= 7,200 lbs
S1=425 n1=25,
Challis;x2=7,087
lbs, S2=415, n2=20
Required:
Conduct the appropriate hypothesis test at the 0.10 level of significance.
Answers
Solution :
Assuming [tex]$\sigma_1^2=\sigma_2^2$[/tex]
We have to test
[tex]$H_0:\mu_1=\mu_2$[/tex]
Against [tex]H_a: \mu_1 \neq \mu_2[/tex]
Level of significance, [tex]$\alpha = 0.05$[/tex]
[tex]$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$[/tex]
[tex]$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$[/tex]
= 420.6107
Under [tex]H_0[/tex], the t-statistics is as follows:
[tex]$t=\frac{(\overline{x_1} - \overline{x_2})}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} \sim $[/tex] [tex]$\text{t with }(n_1+n_2-2) \ DF$[/tex]
[tex]$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$[/tex]
= 0.90
DF = (25 + 20 - 2)
= 43
P-value of the test = 0.375
Since the p value is more than 0.05, we fail to reject our null hypothesis.
There is no difference between then mean tensile strength of the ropes that is produced in the Bozeman and Challis.
If 8 Superscript y Baseline = 16 Superscript y + 2, what is the value of y?
Answers
Answer:
10. Where was the medical mission held? A. At Barangay Tatalon Marikina B. At Barangay Almanza Las Piñas City C. At Barangay Pamplona Las Piñas City D. At Barangay CAA BF INT'L Las Piñas City
A bus takes 45 minutes to travel 48 kilometres. What is its average
speed?
Answers
Answer:
64km/h
Step-by-step explanation:
Average speed= 48km÷45 minutes
= 48km÷0.75h
= 64km/h
A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
The area of the parallelogram is 1 m?.
(1) Show that 4x? - 9x + 3 = 0.
Answer (a)(i)
(*) Solve the equation 4x² – 9x + 3 = 0.
Show all your working and give your answers correct to 2 decimal places.
Answers
Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
A jacket costs $154.85. There is a 45% discount. What is the new price of the jacket.
A.) $68.68
B.) $85.17
C.) $224.53
Answers
Answer:
B) $85,167
Step-by-step explanation:
u got discount 45% so u just have to pay 55% of it
cost = 55% x $154,85 = $85,1675
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answers
Answer:
(last part)
25%
27.8%
290%
300%
67%
Step-by-step explanation:
PLEASE CAN SOMEONE HELP ME??????????????
Answers
Answer: 180 degrees rotation, center (1.5, -0.5)
=====================================================
Explanation:
Notice how point (1,-1) on triangle A moves to (-2,0) and then that rotates to (2,0)
Form a line segment from (1,-1) to (2,0) to show the beginning and end states. The equation of the line through these two points is y = x-2
--------------
Similarly, the point (1,-4) moves to (-2,-3) after applying the translation vector, then it rotates to (2,3). Draw a line through (1,-4) and (2,3). The equation of this line is y = 7x-11
--------------
We have this system of equations
[tex]\begin{cases}y = x-2\\y = 7x-11\\\end{cases}[/tex]
Equate the right hand sides and solve for x
7x-11 = x-2
7x-x = -2+11
6x = 9
x = 9/6
x = 3/2
x = 1.5
which leads to
y = x-2 = 1.5-2 = -0.5
or
y = 7x-11 = 7(1.5)-11 = 10.5-11 = -0.5
Either way, x = 1.5 leads to y = -0.5
We get the ordered pair (x,y) = (1.5, -0.5)
This is the center of rotation when rotating figure A to have it match up with triangle C (the triangle in the upper right quadrant)
Notice in the diagram below point D is that center of rotation. Also, notice that if we use the distance formula, you should find that
AD = A''D
BD = B''D
CD = C''D
Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?
because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answers
Answer:
because one pair of congruent corresponding angles is sufficient to determine similar triangles.
Answer:
C
Step-by-step explanation:
Write each rate as a fraction in lowest terms
15 feet in 20 seconds
feet/sec
Answers
Answer:
3/4 ft / second
Step-by-step explanation:
15 ft / 20 seconds
Divide the top and bottom by 5
3/4 ft / second
Answer:
[tex] \frac{3}{4} [/tex]ft/sec
Step-by-step explanation:
[tex] \frac{feet}{sec} = \frac{15}{20} [/tex]
[tex] \frac{15}{20} \frac{ \div 5}{ \div 5} = \frac{3}{4} [/tex]
Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs
$14 and there are an assortment of snacks available to purchase for $3.50
each. How much total money would Carson have to pay for his family if he
were to buy 2 snacks for everybody to share? How much would Carson have
to pay if he bought x Snacks for everybody to share?
Total cost with 2 snacks:
Total cost with x sn
acks:
Answers
49 dollars
Step-by-step explanation:
14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.
Total cost with 2 snacks = $35
Total cost with x snacks = 28+3.50x
Given :
Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.
Explanation :
Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.
Total cost = cost of ticket (2 kids) + cost of 2 snacks
[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]
Total cost with 2 snacks = $35
Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks
[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]
Total cost with x snacks = 28+3.50x
Learn more : brainly.com/question/17565961
The equation represents the total resistance, r, when two resistors
whose resistances are r1 and r2 are connected in parallel. Find the total
resistance when r1 is x and r2 is x + 1.
Answers
Answer:
[tex]R = \frac{x(x+1)}{2x+1}[/tex] --- total resistance
Step-by-step explanation:
Given
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Required
Find R when
[tex]R_1 = x[/tex]
[tex]R_2 = x+1[/tex]
So, we have:
[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]
Substitute values for both R's
[tex]\frac{1}{R} = \frac{1}{x} + \frac{1}{x+1}[/tex]
Take LCM
[tex]\frac{1}{R} = \frac{x+1+x}{x(x+1)}[/tex]
Collect like terms
[tex]\frac{1}{R} = \frac{x+x+1}{x(x+1)}[/tex]
[tex]\frac{1}{R} = \frac{2x+1}{x(x+1)}[/tex]
Inverse both sides
[tex]R = \frac{x(x+1)}{2x+1}[/tex]
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
a) correct
b) 70 degrees
Step-by-step explanation:
since in the triangle BXC the sides BX and XC have the same length, they must also have the same angles with the baseline BC.
so, we know, XBC = 55 degrees.
and therefore BCX = 55 degrees.
the sum of all angles in a triangle is always 180 degrees.
so,
BXC = 180 - 55 - 55 = 70 degrees
A) Which inequality is shown on this graph
B) which graph shows the inequality
Image attached
Answers
Please mark brainliest
09:30 to 17:00 minus 30 minutes
How many hours is that ?
Answers
Answer:
7 hours
Step-by-step explanation:
9 : 30 to 17:00 = 7 hours 30 minutes
Minus 30 minutes = 7 hours
5(x + 7) = 15
what is the value of x
Answers
Step-by-step explanation:
5(x + 7) = 15
x+7=3
x=-4!!!!!!
Answer:
x = -4
Step-by-step explanation:
Solve for x
5 ( x + 7 ) = 15Divide each side by 5
5( x + 7 ) ÷ 5 = 15 ÷ 5x + 7 = 3subtract 7 from both side
x + 7- 7 = 3 - 7x = -4need answer with step by step
Answers
Answer:
y = 6/5x -7
Step-by-step explanation:
please help me please help me please help me please help me please help me please help me please
Answers
Answer:
2025 is not a perfect cube