Answers
Answer:
Option 4: A ║B
Step-by-step explanation:
Given the following statements:
[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]
[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]
We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.
In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].
Therefore, lines [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex]. Hence, by the Lines Perpendicular to a Transversal Theorem, [tex]\displaystyle\mathsf{\overline{A}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{B}}[/tex].
Related Questions
tim borrowed $7,000 at 8% interest rate for 5 years what was the total interest
Answers
Please help, I will give brainliest Health Insurance Expenses
Business
Type
Definition
Costs
Premium
The annual amount employee pays
the insurance company for the policy.
$6,237
Career
College Rea
Deductible
The amount employee pays for
medical expenses before the
insurance pays for anything.
$1,000
Extra Cred
Business
The percentage employee pays for
Co-Payment medical treatment after the
deductible is paid
30%
Kerr Heavyn_He
hbenefitsss
Use the information in the table. If the employer has agreed to pay 45% of the employees' health insurance premium, what is the total annual
premium?
X
Select one:
O A. The premium is $13,860.
OB. The premium is $11,340,
O C. The premium is $5,103.
Answers
Answer:
It is B
Step-by-step explanation:
Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?
Answers
You work backwards;
Since he read 3/4 of the remainder that would be 75 x 4 because 75 was left after 3/4. You would get 300. Then, you would do 300 / (1/3), this is getting the final thing, equals 900.
Hope this helps!
plz help me to answer
Answers
Answer:
for 3, 4 or both?
4. is probably zero
Step-by-step explanation:
Wait is 4 a question?
[tex]cos^2 x + \cos^2 y = \cos(2x + 2y)\\\\\implies \dfrac{d}{dx} (\cos^2 x + \cos^2 y) = \dfrac{d}{dx} \cos(2x+2y)\\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-\sin(2x+2y) \left(2+2\dfrac{dy}{dx} \right) \\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-2\sin(2x+2y) -2\sin(2x+2y)\dfrac{dy}{dx} \right) \\\\\implies 2 \sin(2x+2y) \dfrac{dy}{dx} - 2 \cos y \sin y \dfrac{dy}{dx} = 2 \cos x \sin x-2\sin(2x+2y)[/tex]
[tex]\implies \sin(2x+2y) \dfrac{dy}{dx} - \cos y \sin y \dfrac{dy}{dx} = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\\\\\implies y'(x) = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}[/tex]
Four times a number is equal to the number increased by 24 find the number
Answers
Answer:
8Step-by-step explanation:
Let the number is x.
Translate the given into equation and solve for x:
4x = x + 244x - x = 243x = 24x = 8Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76
Answers
Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.
Answers
Answer:
at least 8
Step-by-step explanation:
Answer:
At least 8
Step-by-step explanation:
I took the test
Samuel buys office supplies for his home buissness
Answers
Answer:
What supplies?
Step-by-step explanation:
#8) Identify all pairs of congruent sides
Answers
Help help help math math math
Answers
81°
Step-by-step explanation:
The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that
[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]
We then see that
[tex]\angle{3} = 180° - 99° = 81°[/tex]
Answer: 81 i believe
Step-by-step explanation:
A family buys a studio apartment for 240,000. They pay for a down payment of 72,000.
A: their down payment is what percent of the purchase price?
B.what percent of the purchase price would a 108,000 down payment be ?
Answers
Answer:
A. 30% B. 45%
Step-by-step explanation:
A. 72,000/240,000 = x/100
(72,000)(100) = (240,000)x
7,200,000 = 240,000x
30 = x
B. 108,000/240,000 = x/100
10,800,000 = 240,000x
45 = x
Help help math I’ll give points thanks
Answers
Answer:
x=13
Step-by-step explanation:
8x-20=4x+32
start by moving the terms,
8x-4x=32+20
combine
4x=52
divide each side by 4
x=13
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
[tex]f^{-1} (x) =x-11[/tex]
Step-by-step explanation:
[tex]f(x) = x+11\\\\\text{Write f(x) as y = x+11}\\\\\text{Replace x with y,}\\\\x = y+11\\\\\text{Solve for y}\\\\x=y+11\\\\\implies y= x-11\\\\\implies f^{-1} (x) = x-11[/tex]
A scuba diver descends farther down into the ocean from an initial depth of 12.8 feet below sea level. The scuba diver descends at a constant rate for 312 minutes and reaches a depth no more than 49.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r≥10.4
r≤10.4
r≥13 7/9
r≤13 7/9
Answers
Answer:
[tex]r \geqslant 10.4[/tex]
The maximum rate at which the diver will descend will be 7 feet per hour.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Initial depth of scuba diver = 12.8 feet
Let's say the rate of a scuba diver is "r".
Initial depth + depth cover with constant rate ≤ final depth
12.8 + (312/60)r ≤ 49.2
r ≤ 7
Thus, the maximum rate at which a diver can descend is 7 feet per hour.
Hence"The maximum rate at which the diver will descend will be 7 feet per hour".
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ITS DUE TODAY
GRADES ARE FINAL TODAY PLS HELP ILL GIVE BRAINLIEST
0.5a + 8.75 > 13.25
Answers
Answer:
The answer is 9
Explanation:
0.5a+8.75=13.25
We simplify the equation to the form, which is simple to understand
0.5a+8.75=13.25
We move all terms containing a to the left and all other terms to the right.
+ 0.5a=+13.25-8.75
We simplify left and right side of the equation.
+ 0.5a=+4.5
We divide both sides of the equation by 0.5 to get a.
a=9
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 90 yards, what are its dimensions?
Answers
Answer:
L=30 W=15
Step-by-step explanation:
90 divided by 6 is 15. 15 is the Width. Multiply 15 by 2 and you get 30 which is the Length.
I’m having trouble with this question I need some help please
Answers
Answer:
[tex] \frac{1}{2} \: \: \: \: \: \frac{1}{4 \: } \: \: \: \frac{1}{8} [/tex]
[tex] \frac{4}{8} \: \: \: \frac{2}{8} \: \: \: \frac{1}{8} [/tex]
She ate
[tex] \frac{7}{8} [/tex]
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Answers
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
The Midpoint FormulaThe midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Where,
[tex](x_m, y_m)[/tex] = coordinates of the midpoint
[tex](x_1, y_1)[/tex] = coordinates of the first point
[tex](x_2, y_2)[/tex] = coordinates of the second point
Given the following:
[tex](x_m, y_m)[/tex] = M( 6,-4)
[tex](x_1, y_1)[/tex] = G(8,-2)
[tex](x_2, y_2)[/tex] = H(?, ?)
Plug in the values into the midpoint formula
[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]
Solve for the x-coordinate and y-coordinate separately
[tex]6 = \frac{8 + x_2}{2}[/tex]
Multiply both sides[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]
[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
Learn more about midpoint formula on:
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The average of two numbers is 70. If one of the number is 32, what is the 2nd number?
Answers
Answer:
The second number would be 108.
Step-by-step explanation:
Multiply 70 by 2 and subtract 32 from the product.
A store pays $270 for a bike and there is a 45% markup. What is the selling price (total price) of the bike?
Answers
Work Shown:
1.45*270 = 391.50
The multiplier 1.45 represents a 45% increase
Think of it as 1.45 = 1+0.45 = 100% + 45%
Answer:
391.5
Step-by-step explanation:
the 45% of $270 is $121.5
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)
Answers
Step-by-step explanation:
in total we have 3+4 = 7 balls.
when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.
when we draw the second ball, we have now only 6 balls in total.
the probabilty to draw a red back now depends also on the result of the first draw.
if the first ball was already red, then we have only a chance now of 2 out of 6.
if the first ball was blue, then we have now a chance of 3 out of 6.
so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :
1 - probability to see 2 blue balls
1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...
the expected number of red balls in 2 draws is
1 red in first red in first red in second
but not second and second but not first
1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571
The constraints of a problem are listed below. What are the vertices of the feasible region?
x+3y<=6
4x+6y>=9
x>=0
y>=0
Answers
The vertices of the feasible region of the constraints is (0,2.5)
How to determine the vertices?The constraints are given as:
x + 3y ≤ 6
4x + 6y ≥ 9
x ≥ 0, y ≥ 0
Express the inequalities as equations
x + 3y = 6
4x + 6y = 9
Make x the subject in x + 3y = 6
x = 6 - 3y
Substitute x = 6 - 3y in 4x + 6y = 9
4(6 - 3y) + 6y = 9
Expand
24 - 12y + 6y = 9
Evaluate the like terms
-6y = -15
Divide by 6
y = 2.5
Substitute y = 2.5 in x = 6 - 3y
x = 6 - 3 * 2.5
Evaluate
x = -1.5
So, we have:
(x,y) = (-1.5, 2.5)
Recall that: x ≥ 0, y ≥ 0
This means that the feasible region must have positive coordinates or zero
So, we set x = 0
(x,y) = (0, 2.5)
Hence, the vertices of the feasible region of the constraints is (0,2.5)
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he school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 8 student tickets for a total of $164. The school took in $73 on the second
day by selling 2 adult tickets and 7 student tickets.
What is the price each of one adult ticket?
What is the price each of one student ticket?
Plz explain how to do this
Answers
Answer:
The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars
Step-by-step explanation:
Make a system of equations for the two days that the play was shown.
Let x = the price of an adult ticket
Let y = the price of a student ticket
For the first day:
9x+8y=164For the second day:
2x+7y=73Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.
18x+63y= 657-18x+16y= 3280x+ 47y= 329divide both sides by 47y = 7Plug in 7 for y for the 2nd equation2x+7(7)=732x+49=73subtract 49 from both sides2x= 24divide both sides by 2x = 12 Check:2(12)+7(7)=7324+49= 73!Answer: And I don’t know math
Step-by-step explanation:
Nick wants to buy a pair of shoes. The original cost of the shoes is $56.75, and the markup is 12 percent. How much will he have to pay for the shoes?
Answers
Answer:
Nick will have to pay $63.56 for the shoes.
Step-by-step explanation:
f the original cost of the shoes is $56.75 and the markup is 12% greater than the original price, the final price would be $63.56.
$56.75 • 0.12 = $6.81
$56.75 + $6.81 = $63.56
$56.75 + 12% = $63.56
Answer:
Nick will have to pay $63.56 for the shoes.
the distance between -2,4 and 2,6
Answers
The distance between 2,6 is 4
You can use a number line as a reference!
Hope this helps!
Brainliest and a like is much appreciated!
??????help please thanks
Answers
Answer:
The choice 66
Step-by-step explanation:
[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]
Help help help help math math
Answers
Answer:
umm i think its A/B
Step-by-step explanation:
Answer:
√49 < √56 < √64
Step-by-step explanation:
√56 = 7.4833....
7x7 = 49
8x8 = 64
√49 < √56 < √64
The wavelength of yellow light in a spectrum is about 0.00002 inches. Which number best approximates this length as a power of 10? O A. 2x 10-5 O B. 2 x 105 O C. -2x 105 O D. 2 x 10-4 SUBMIT help me please fast
Answers
Answer:
A
Step-by-step explanation:
You have to move the decimal 5 places to the left to get 2
One positive number is 7 more than twice another. If their product is 1425, find the numbers.
Answers
Answer:
25 and 57.
Step-by-step explanation:
Let the lowest number be x then the other is 2x + 7, So:
x(2x + 7) = 1425
2x^2 + 7x - 1425 = 0
2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19
We need 2 numbers whose product is -2850 and whose sum is + 7.
These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:
2x^2 - 50x + 57x - 1425 = 0 Now we factor by grouping:
2x(x - 25) + 57( x - 25) = 0)
(2x + 57) ( x - 25) = 0
x = -57, 25.
We ignore the negative as we are given that the number is positive,
x = 25 is one number and the other is 2(25) + 7 = 57.
Listen
If you draw a triangle with these measurements, which kind of triangle would it be?
Angles Sides
400
4 cm
50
7 cm
90°
8 cm
O acute scalene triangle
O acute isosceles triangle
O right equilateral triangle
Oright scalene triangle
Answers
Step-by-step explanation:
An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, ∠a, ∠b and ∠c are all acute angles. Example 1: A triangle has angles 46°, 63° and 71°.