[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68
If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.
Answer:
$30.38
Step-by-step explanation:
Final Price = Original Price - Discount
Final Price = 75 - 41.25
Final Price = $33.75
Then its the additional 10%
So now you make your original cost $33.75 to make it easier so
Final Price = Original Price - Discount
Final Price = 33.75 - 3.375
Final Price = $30.38
Final Answer: $30.38
The final price Kelly will pay round to the nearest cent is $30 38¢
What is percent?In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".
Now it is given that,
Discount = 55%
Additional discount = 10%
Original Price of Blue Sandals = $75
Original Price of Tan Sandals = $68
Since Kelly bought blue sandels,
So, discount on Blue Sandals = 55% of $75
⇒ discount on Blue Sandals = 0.55 * $75 = $41.25
So, Cost of Blue Sandals = $75 - $41.25
⇒ Cost of Blue Sandals = $33.75
Now there is additional discount of 10%
Additional discount = 10% of $33.75
⇒ Additional discount = 0.10% * $33.75
⇒ Additional discount = $3.375
Thus, Final Cost of Blue Sandals = $33.75 - $3.375
⇒ Final Cost of Blue Sandals = $30.375
Round to the nearest cent final cost of Blue Sandals = $30 38¢
Thus, the final price Kelly will pay round to the nearest cent is $30 38¢
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Complete the statement
Isosceles triangle A ABC has congruent angles at B and C. If BC is bisected at D and AD is drawn, by the side, side, side triangle congruence postulate,
(1 point)
O AADB AADC
O AADBA AABC
Ο ΔΑΒCA ΔΑDC
O AADB ADCA
Answer:
∆ ADB = ∆ ADC
Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Answer:
✔ 360°
Identify the following angle measures.
m∠2 = ✔ 60
m∠4 = ✔ 150
m∠6 = ✔ 90
Step-by-step explanation:
i just finished answering the question
Answer:
C
B
B
C
Step-by-step explanation:
for the lazy ppl
Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?
Answer:
4.8
Step-by-step explanation:
how many times does 35 go into 78?
Answer:
It goes in 2 times
Step-by-step explanation:
Can i have branliest, so i can go up a rank?
Answer:
35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.
y + 12.5 = 21.7, y =
Answer:
y = 9.2
Step-by-step explanation:
21.7 - 12.5 = 9.2
Answer:
y = 9.2
Step-by-step explanation:
okay I need an answer to this from scale through 1 to 10 how much naughtier can my cat be like I need some good answers
Answer:
Wow your cat is so naughty but cute. On a scale from one to 10 I say 10
Step-by-step explanation:
This is why I dont have pets
A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.
Answer:
[tex]a_c=4.17\ m/s^2[/tex]
Step-by-step explanation:
Centripetal Acceleration
It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.
Its magnitude can be calculated as follows:
[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]
Where:
v = tangential speed
r = radius of the circle
The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:
[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]
[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]
[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]
a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Please answer! solve for x
Answer:
it 180 degree try to add them all the subtract with 180 and that equals x
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
The angles of a triangle always add up to 180°. This means that (x+46) + 52 + 92 = 180.
First, subtract 92 from both sides of the equation to get (x+46) +52 = 88. Then, subtract 52 from both sides of the equation to get x + 46 = 36. Finally, subtract 46 from both sides of the equation to get x = -10
Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?
Answer:
Jason has read 50 pages.
Step-by-step explanation:
25% of 200 = 50
Remember "of" means multiply so you multiply 25% to 200
25% x 200
Convert 25% into a decimal
0.25 x 200 = 50
So Jason has read 50 pages.
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243
Answer:
x is equal to 29.
Step-by-step explanation:
[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]
can someone help me !
Answer:
45
Step-by-step explanation:
180 - 75 = 105
105 - 15 = 90
45 x 45 = 90
Answer:
75+2x+15=180
2x=90. x=45
how to find radius of the base examples
Answer:
r=[tex]\frac{c}{2\pi }[/tex]
Step-by-step explanation:
plz help me asap i need help plz i will mark you as brainlist
Answer:
the third one
Help me find the area please!
Answer:
787.5
Step-by-step explanation:
Givens
The bottom part of the figure is a trapezoid. Solve it first
a = 15 cm
b = 34 cm
h = 19 cm
Formula
Area = 1/2 (a + b)*h
Solution Trapezoid
area = 1/2 (15 + 34)*19
Area = 1/2 * 49 * 19
Area = 465.5
Remark
The top half of the figure is a parallelogram.
Formula
Area = base * height
Givens
base = 23
height = 14
Solution
Area = 23 * 14
Area = 322
Total Area
Total Area = 322 + 465.5
Total Area = 787.5
Can someone help with this I’ll mark u as brainlist
Answer:i don’t really k ow but i need points to ask questions
Step-by-step explanation:
If 4 raffle tickets is 6 dollars how much is 1 raffle ticket
Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation:
HELP!!! NEED ASAP!!!! WILL MARK BRAINLIST!!!
Answer:
2^-15
Step-by-step explanation:
someone help me please i need this fast
Answer:
B, A vertical translation of 2 units.
Step-by-step explanation:
Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!
Can someone help me please? I will give brainly
Answer:106 I think
Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106
A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?
helpp pls
Answer:
Number of dimes in the bag = 90
Number of quarters in the bag = 186
Step-by-step explanation:
Let
x = Number of dimes in the bag
y = Number of quarters in the bag
= 2x + 6
Total = 276
276 = x + 2x + 6
276 = 3x + 6
276 - 6 = 3x
270 = 3x
x = 270/3
= 90
x = 90
Number of dimes in the bag = 90
Number of quarters in the bag = 2x + 6
= 2(90) + 6
=180 + 6
= 186
Total = Number of dimes in the bag + Number of quarters
= 90 + 186
= 276
An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia, but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added, given that 4 quarts equals a gallon
Answer:
The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz
Step-by-step explanation:
The volume of the ammonia and water mixture = 5 gallons
The percentage of ammonia in the mixture = 80%
The volume of ammonia desired = 5 gallons
The percentage concentration of ammonia desired = 50%
The diluting solution = Pure water
The measure of 4 quarts = 1 gallon
Therefore, we have, by equivalence solutions;
80% × x gallon = 50% × 5 gallons
x gallon = 50% × 5 gallons/(80%) = 3.125 gallons
x = 3.125 gallons
The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons
4 quarts = 1 gallon
1 gallon = 4 quarts
∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz
The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz
Answer:
7.5
Step-by-step explanation:
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
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V
How is a rate simile do different from a ratio?
Anyone know the answer??
help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]
Answer:
[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Step-by-step explanation:
To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].
Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:
[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]
[tex]=-cos(\pi)+cos(0)[/tex]
[tex]=-(-1)+1[/tex]
[tex]=2[/tex]
∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]
Hope this helps :)