Given:
Bl parallel to RA.
To find:
The value of x.
Solution:
In triangle ATR and ITB,
[tex]\angle ATR\cong \angle ITB[/tex] [Common angles]
[tex]\angle ART\cong \angle IBT[/tex] [Corresponding angle]
[tex]\triangle ATR\sim \triangle ITB[/tex] [AA property of similarity]
We know that the corresponding sides of a similar triangle are proportional. So,
[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]3(x)=2(x+8)[/tex]
[tex]3x=2x+16[/tex]
[tex]3x-2x=16[/tex]
[tex]x=16[/tex]
Therefore, the correct option is C.
Solve by elimination
2x - 3y = -6
-2x - 2y = 26
Answer:
x= -9 y= -4
Step-by-step explanation:
Step 1:
2x-3y=-6
+ -2x-2y=26
_____________
-5y=20
Step 2:
Get y by itself by dividing -5 on both sides
20/-5=-4
Therefore, y= -4
Step 3:
Plug -4 into the y for the first equation to get the number for x
2x-3(-4)=-6
2x+12=-6
2x= -18
x= -9
Question 44.
What is the value of the expression 6 (A) -5 when A=3
Answer:
13
Step-by-step explanation:
6(A)-5
Sub 3 into A
6(3)-5
Multiply 3 by 6
18 - 5
=13
Answer:
6(3)-5
18-5
=13
Step-by-step explanation:
Johnny wants to buy a set of drums that cost $2000, it requires a 15% down payment. The remainder plus an additional finance charge is paid back on a monthly basis of 25 months. the monthly payment is $80. What is the finance charge.
Answer: The finance charge = $ 300
Step-by-step explanation:
Given: cost of drums = $ 2000
Down payment = 15% of 2000
= 0.15 x 2000
= $300
Total installments = (Number of months) x (Monthly charge)
= 25 x $ 80
= $ 2000
Finance charge = Down payment + Total installments - cost of drums
= $ (300+2000-2000)
= $ 300
Hence, the finance charge = $ 300
What is the solution of-+-<?
1 1 1
X35
Answer:
A. [tex]-\frac{15}{2} < x< 0[/tex]
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Please solve for x. Round to nearest tenth, if necessary.
Answer:
9.8
Step-by-step explanation:
=5.9 . tan 59° = 5.9 × 1.66 = 9.8
A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
A- 1/5 minute/boards
B- 5/1 boards/minutes
C- 5/25 minutes/boards
D- 25/5 boards/minutes
Answer:
B- 5/1 boards/minutesStep-by-step explanation:
Unit rate is the number of circuit boards a minute:
25 boards every 5 minutes >> 25/5 boards every 5/5 minutes >> 5/1 boards/minutesCorrect choice is B
I REALLY NEED HELP PLS
Answer:
Step-by-step explanation:
100+2x+40=180(sum of interior angle of a triangle)
140+2x=180
2x=180-140
2x=40
x=40/2
x=20
Answer:
x=20
Step-by-step explanation:
the sum of the angles of a triangle is 180
so it means,
100+40+(2×)=180
140+(2×)=180
2×=180-140
2×=40
divide both sides by 2
x=20
to prove this substitute 20 inside see if the result is 180
40+100+(2×)=180
×=20
40+100+(2 (20))=180
140+40=180
140+40=180
Good luck.
students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. what is the total price for the 4 students tickets if the regular cost per ticket is $6.00.
options- $21.60, $26.40, $6.60, or $5.40
Answer:
$21.60
Step-by-step explanation:
Answer:
Answer is $ 21. 60
Step-by-step explanation:
$22 or 21.60 in decimal form
Step-by-step explanation: $6.00 - 10% is 5.4
5.4 + 5.4 +5.4+5.4 is 21.60
you can also round this off and get the answer as $ 22 .
Hope this answer helps you :)
Have a great day
Mark brainliest
HELP PLEASE! WILL GIVE BRAINLIEST!
Answer:
Exact volume: 804.24772
Approximate volume: 804.248
Step-by-step explanation:
V = 1/3hπr².
1. A quadrilateral has one pair of parallel sides with lengths 2 inches and 3 inches, and two angles that each measure 42 degrees What is the shape of the quadrilateral?
Answer:
34
Step-by-step explanation:
What is the domain of the function
y=x?
Answer:
the domain of y = x is all real numbers.
The ratio of boys to girls in the class is 3 to 4. If there were 12 boys, how many girls were there?
Answer:
Step-by-step explanation:
let girls be x
3/4=12/x(do cross multiplication)
12*4=3x
48/3=x
16=x
therefore there are 16 girls
Answer:
16 girls
Step-by-step explanation:
Set up a proportion. Let x = the number of girls.
3 / 4 = 12 / x
Cross multiply:
3x = 48
x = 16
PLEASE HELP!!! 50 POINTS. Identify each graph as a linear function, nonlinear function, or not a function.
Answer:
1)non linear
2)linear
3)non linear
4) not a function
What attributes were used to organize the shapes in Circle A and Circle B?
I need a answer ASAP! And I really want it to be right!!
Have a great day!
For circle A, attribute used is right angle.
For circle B, attribute used is parallel lines.
What is right triangle?A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.
What are Similarities of square, rectangle and parallelogram?A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.
Circle A consists of triangles.
By observing clearly that in circle A there are two right angled triangles.
For circle A, attribute used is right angle.
Circle B consists of 1 square, 1 rectangle and 2 parallelogram.
We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.
For circle B, attribute used is parallel lines.
Find out more information about Similarities of square, rectangle and parallelogram and right triangle here
https://brainly.com/question/4519927
https://brainly.com/question/3770177
#SPJ3
Wesley made 3/4 of a liter of hot chocolate. Each mug holds 3/8 of a liter. How many mugs
will Wesley be able to fill?
Answer:
2
Step-by-step explanation:
you have to dived 3/4 by 3/8= 24/12=2
evaluate2x
X= 5 -3
-4 2
Answer :
Evaluate
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 2 i √ 5 , − 2 i √ 5
Step-by-step explanation:
A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre. What is the smallest number of rows that is needed to seat these people?
Answer:
Smallest number of rows that is needed to seat these people = 16
Step-by-step explanation:
Given - A theatre has seats arranged in rows of 24, three hundred eighty -two(382) people attend a show at the theatre.
To find - What is the smallest number of rows that is needed to seat these people?
Solution -
Given that,
Total number of seats in a Row = 24
Let us assume that, there are x rows
As.
There are 382 people in the Theatre
So,
Minimum seats required is
24 x = 382
⇒x = 382 ÷ 24
⇒x = 15.91
i.e.
Smallest number of rows that is needed to seat these people = 16
hey! i’ll give brainliest please help
Answer:
a mans car...
Step-by-step explanation:
a man's car breaks down while driving to work
because all the other ones are in their head
ucas writes a numerical expression that has a value of 37. Which of the following expressions did Lucas write?
a
2.5^2+19\times2.5-16.75
b
2.5+19\times2.5-16.75
c
2.5^2+19\times2.5+16.75
d
2.5\times19+2.5^3-16.75
Answer:
a) 2.5^2+19\times2.5-16.75
Step-by-step explanation:
(2.5)² +(19× 2.5) - 16.75
= 6.25 + 47.5 - 16.75 = 37
Find the probability that a randomly placed point falls within the smaller, inner circle.
The unshaded portion has a radius of 5 centimeters. The shaded path has a width of 8 centimeters.
5/8
25/169
64/78.5
15/24
Answer:
The probability that a randomly placed point falls within the smaller, inner circle is 25/64
Step-by-step explanation:
The remaining part of question is attached
Solution
The area of smaller circle is
[tex]\pi r^2 = 25 \pi[/tex]
The area of large circle is
[tex]\pi r^2 = 64 \pi[/tex]
Area of the shaded region
Area of large circle - area of small circle
[tex]64\pi -25\pi = 39\pi[/tex]
Probability that the point falls in the region of smaller circle is
[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]
complete:
a 20% x ____ = $30
Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12
Answer:
SOLUTION[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]
Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]PLEASE HELP!!
Describe the relationship between expanding and factoring.
Answer:
To factor means to express as a product. To expand means to multiply something out.
Step-by-step explanation:
please answer my question for me pleaseeee
Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?
Answer:
60
Step-by-step explanation:
hope it helps!
Which expression will simplify (3a+6) (7a-2)
graph (-5,0) (9,0) (8,-39)
Answer:
just plot the coordinates down on graph and then u'll have them graphed
Step-by-step explanation:
I don't know I'm too lazy 2 put an explanation
Erica had $20 she spent on three gifts she spent 9 3/4 dollars on gift a and 4 1/2 dollars and gift b how much money did she have left for gift c
Answer:
$5.75
Step-by-step explanation:
20=9.75 + 4.5 + c
20-9.75-4.5=c
5.75=c
The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters, w, of the pool?
Answer:
Step-by-step explanation:
The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters,
400plus2000minus45000000
Find the exact length of the third side.
30
72