Answers
Answer:
i) The value of x is 3.
ii) TE = 20cm
RN = 20cm
Step-by-step explanation:
According to the properties of rectangles,
The diagonals of rectangles are equal and bisect each other at 90°.
As per this,
OR = OT
[tex]2x + 4 = 3x + 1[/tex]
[tex]4 - 1 = 3x - 2x[/tex]
[tex]3 = x[/tex]
TE = 2OT
TE = 2(3x + 1)
= 6x + 2
= 6(3) + 2
= 18 + 2
= 20
RN = 2OR
RN = 2(2x + 4)
= 4x + 8
= 4(3) + 8
= 12 + 8
= 20
Related Questions
The line CD is defined by the points C(-2,1) and D(10,7).
Find the equation of the line CD.
Answers
Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
How to solve this step by step n get the answer
Answers
Answer:
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
Step-by-step explanation:
The Slope Intercept Form of the line is given to us . The equations given are ,
[tex]\implies y + 3x = 7 [/tex]
[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]
Now we know the standard equation of slope intercept form , is
[tex]\implies y = mx + x [/tex]
Where ,
m is slopec is y intercept .So , we can write about the equations as ,
[tex]\implies y = -3x + 7 [/tex]
[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]
On comparing to the Standard form ,
Answer 1 :-
[tex]\implies m_1 = -3 [/tex]
[tex]\implies y - intercept = 7 [/tex]
Answer 2 :-
[tex]\implies m_1 = -\dfrac{1}{2} [/tex]
[tex]\implies y - intercept = -4 [/tex]
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
There are 63 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
There might be 31 or 32
Step-by-step explanation:
I would have a better answer if i knew the probability of the blue marbles being chosen srry.
A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?
Answers
y is the seats in the large van = (x + 6). Since the large has 6 more seats.
Since the 2 vans can transport 57 people.
Small van makes 2 trips = 2x.
Large van makes one trip = (x + 6).
2x + (x +6) = 57
2x + x + 6 = 57
3x + 6 = 57
3x = 57 -6
3x = 51
x = 51/3
x = 17.
The larger van has (x + 6) = (17 + 6) = 23.
The larger van has 23 seats.
Answer:
The larger van has 23 seats
Step-by-step explanation:
Create a system of Equations:
1. Define variables.
> let x=small van and y=larger van
2. create 2 equations based on the information given.
> y = 6 + x
> 2x + y = 57
3. Use any method to solve
Substitution: 2x + (6 + x) = 57. x=17
now plug x in to the original equation to solve for y (the larger van)
y = 6 + 17 and y = 23
Elimination: 2y = 12 + 2x
y = 57 - 2x
3y = 69 and y = 23
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
Answers
BD=16 and AC is the perpendicular bisector of BD
Answers
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find the
factors of f(x)
Answers
Answer:
-26
Step-by-step explanation:
Insert the f(-1) into the equation.It'll be f(-1) = 6(-1) + 13(-1) + 2(-1) - 5After you times all of it. You'll get 7-13-2-5Solve it and you'll get -26find the missing side plzzz helpppp
Answers
Answer:
10*30 = 300, 300 is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
The lines indicates that all side are 10 cm and the white shape is a rhombus
the biggest figure is a rectangle: its angles are 90 degrees
so the triangles have the angles : 90 30 60
so, we have that theeir side are
5 cm and 5√3 cm
perimeter = (10 + 5√3)* 2 + 10 = 20 + 10√3 + 10 = 30 + 10√3 = 10(3 + √3) cm
A = (10 + 5√3)* 5 = 50 + 25√3 = 25(2+√3) cm^2
Area of the two triangle = 5 * 5√3 = = 25√3 cm^2
if we want know the perimeter and the area of the white figure, we have
perimeter = 40 cm
area = 50 + 25√3 - 25√3 = 50 cm^2
What is the length of leg s of the triangle below?
45
4-12
90°
45
Answers
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
s = 4 → A
if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll
Answers
Answer
(1/6)⁴ = 1/1296
Step-by-step explanation:
robabilty of getting a 5 in a throw of dice is 1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is (1/6)4
What is the value of a?
A.50 B.90 C.27.5 D.45
Answers
Answer:
[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]
Answer:
B. 90
Step-by-step explanation:
The 45° angle is an inscribed angle that subtends arc a.
An inscribed and measures half the measure of its subtended arc.
45° = (1/2) * a°
a = 2 * 45
a = 90
Taking a discount of 50% off followed by a discount of 50% off results in a total discount of_______. A. 25% B. 50% C. 75% D. 100%
Answers
Answer:
A. 25%
Step-by-step explanation:
50% = 1/2
1/2 of 1/2 = 1/2 * 1/2=
1/4 = 25%
Answer:
100%-50%=50% so the answer is B
choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6
Answers
Answer:
Y = -6X - 15
Step-by-step explanation:
-3 = -6(-2) + B
-3 = 12 + B
B= -15
Answer:
You didn't attach the options, but y = - 6x - 15
Step-by-step explanation:
Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:
-3 = - 6 * -2 + b
Then solve for b
-3 = 12 + b
-15 = b
Then you rewrite the original formula with the values of m and b:
y = - 6x - 15
Calculate the sum of the integers from 52 to 108
Answers
Answer:
4560
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
14
x
х
12
Answers
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given the question attached, using Pythagoras theorem:
18² = x² + 12²
324 = x² + 144
x² = 180
x = 13.42
A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?
Answers
Answer:
12* 8 * 4 = 384
Step-by-step explanation:
if the sum is 4 and one of the integers is 1 what must the other integer be
Answers
Step-by-step explanation:
The answer to the question is 3
Answer:
3
Step-by-step explanation:
1 + X = 4
4 - 1 = X
3 = X
if demand is 75 lakh setup and holding cost is 29 and 35 number of piece per order is 2.3 lakh printing is done 300 days and delivery within 2 days what is eoq
Answers
A
64 :) i think
Step-by-step explanation:
Please hurry I will mark you brainliest
Answers
Answer:
1 and 3
i hope this helps
Pls ans this question step by step not only ans if it will help me than I will thanks uu comment uu pls ansme
Answers
Answer:
-2x+7
Step-by-step explanation:
What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]
Can someone please explain to me in details and show me the steps TvT?
Answers
Answer:
y = -2/7
Step-by-step explanation:
8^(y+2) = 2^4/4^(2y)
you want to on both sides so you can solve for the exponents
8= 2^3
4= 2^2
2^3y+6 = 2^4/2^(4y)
2^(3y+6) = 2^(4-4y)
3y + 6 = 4 - 4y
7y = -2
y = -2/7
PLEASE HELP ASAP!!!
solve for the given variable and show your work. 3a-12b=30. solve for b.
Answers
Answer:
b=(-10-a)/4
First factor out the common number:3
Then divide both sides by 3
Then simplify 30/3 to 10
Then subtract a to get your answer
Explain and help me with these pls and tyty ( solving using the substitution method )
Answers
Answer:
I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these
what is the length of KM ? no links . HELP
Answers
Answer:
40 units
Step-by-step explanation:
9x-5=7x+7
9x-7x=7+5
2x=12
x=6
6x+4
6(6)+4
36+4
40
please tell me the answer to this, thanks
Answers
Step-by-step explanation:
Hey there!
The equation is: 2x + 3y -12=0 (i)
From the given equation;
Slope (m) = (-coeff.of X)/(coeff.of y)
m = -2/3
Now; Let the missing component be "a".
The equation also can be written in;
The equation also can be written in;(y-8) = -2/3(x-a) (using one point formula)
3y - 24 = -2x + 2a
2x +3y -2a -24 = 0………(ii)
Since both equation are made from same coordinates, equating equation (i) and (ii).
2x + 3y -12= 2x +3y -2a -24
Cancel like terms,
-2a - 24 = -12
or, -2a = 12
or, a = -6.
Therefore, the missing value is -6.
Check:
Putting the value "a" in equation (ii).
2x + 3y -2(-6) -24 = 0
or, 2x+3y -12 = 0 (which is equal to equation (i).
Hope it helps!
Work out the area of the shaded shape.
Answers
Answer:
65 m²
Step-by-step explanation:
Area 1 :-
A = 3m * 9m A = 27 m²Area 2 :-
A = (12-3-2) m * (9 - 5) m A = 7m * 4 mA = 28 m²Area 3 :-
Area = 2m * 5 m A = 10 m²Total Area :-
A = ( 27 + 28 + 10 ) m²A = 65 m²Find the value of x if A, B, and C are collinear points and B is between A and C. AB=x,BC=x+2,AC=14
Answers
Answer:
x=6
Step-by-step explanation:
( x) +(x+2)=14
(2x+2)=14
(2x)=12
x=6
5
Mark is investing $8,000 in an account paying 5.5% interest compounded weekly.
What will Mark's account balance be in 6 years?
Answers
Answer:
you divide a 8000÷ 5.5 yor answer is it
What is the classification for this polynomial? X2y+3x3
Answers
Answer:
quadratic
Step-by-step explanation:
hope you got it
Which of the following equations is used to find the value of c?
Answers
Answer:
D. [tex]a^{2} + b^{2} = c^{2}[/tex]
Step-by-step explanation:
Pythagorean Theorem
