Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Step-by-step explanation:
Given
ABCD is a parallelogram
Side AD is 9 cm more than twice AB i.e.
[tex]AD=9+2AB[/tex]
Also, for parallelogram
[tex]\Rightarrow AB=CD,BC=CD[/tex]
Perimeter is the sum of the sides
[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]
So, [tex]AD=35\ cm[/tex]
Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]
Answer: AB=11
AD=31
BC=31
CD=11
Step-by-step explanation:
(x+1)^2 . (x^2+1) = 0
Answer:
[tex]x^4+2x^3+2x^2+2x+1[/tex]
Step-by-step explanation:
Given that,
[tex](x+1)^2 . (x^2+1) = 0[/tex]
We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]
So,
[tex](x+1)^2=x^2+1+2x[/tex]
So,
[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]
So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]
Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.
y = 12x + 3
y = 8x + 23
How many shirts would you have to purchase for the total cost to be the same at both companies?
Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
an angle is 21 degree more than twice its complement find it
QUICK
ASAP now before tomorrow Please
Answer: 67°
Step-by-step explanation:
Complementary angle refers to the angle that when added together will be equal to 90°.
Let the measurement of the angle's complement be x.
Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,
x + 2x + 21 = 90
3x + 21 = 90
3x = 90 - 21
3x = 69
x = 69°/3
x = 23°
Therefore, the angle will be:
= 2x + 21
= 2(23°) + 21°
= 46° + 21°
= 67°
The angle is 67°.
Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x 2 + 6x + 5
HELP PLEASE!!!!!!
Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?
Answer:
speed = 32km/hr
Step-by-step explanation:
Time
10:15 to 10:30 = 1/4 hr
speed = distance/time
speed = 8 / (1/4)
speed = 32km/hr
change from improper fraction to mix number 51/7
Answer:
7 3/7
Step-by-step explanation:
It's a quartile question.
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Can somebody help I’ll give brainless plss
Answer:
$93.22
Step-by-step explanation:
bill = $79
tip = 18%
tip amount = tip % of bill
=18/100 * $79
=$1422/100
=$14.22
total cost = $79 + $14.22
=$93.22
Answer:
93.22
Step-by-step explanation:
Find the amount of the tip
79*18%
79 * .18
14.22
Add this to the amount of the bill
79+14.22
93.22
Solve for x.
3:12 = x:16
64
4
2 1/4
Hi!
i think We can set up a proportion to solve this
\frac{3}{12} \frac{x}{16}
12
3
16
x
Cross multiply
3 x 16 = 48
48/12 = 4
The answer is 4
Hope this helps! :)
PLSSS HELPPP no linkss plsss im begging
Answer:
Step-by-step explanation:
Find the area of the circle. (Picture attached). Thank you!!
Answer:
254.5cm²
Step-by-step explanation:
I assumed that the units is cm.
hope it helps!!!
How would you describe the channel of distribution for Coke using the BreakMate?
Answer:
Yes
Step-by-step explanation:
1. What
2. Even if that's an actual question, it doesnt make any sense
3. What
4. Even if that's an actual question, it's not math related
5. What
Use the number line to find the measure of SV
Answer:
8
Step-by-step explanation:
S = -7 to V= 1 you count from -7 to 1
Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654
Step-by-step explanation:
câu trả lời là trong hình ảnh trên
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.
Answer:
C
Step-by-step explanation:
AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.
The given triangles ΔABC and ΔLMN are similar by AA postulate.
What is a triangle?A triangle is a three sided polygon that consist of three edges and three vertices .
Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.
Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.
Hence two triangles are similar by AA postulate.
Thus two triangles are similar by AA postulate. So option (C) is correct.
To learn more about triagles click here:
https://brainly.com/question/24147586
#SPJ7
Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.
How do you find the equation of a line of a triangle when given the area and one set of coordinates?
Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =
Answer:
= -2/7
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-14)/(13 - -15)
= (6-14)/(13+15)
= -8/28
= -2/7
Solve 4(x - 3) - 2x - 1) > 0
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
(First correct answer for brainliest) Find the length of JM
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone
simplify
x - ( - 6 x )
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)
Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1
Answer:
the answer is 77.1
helpppp please!!!!!!
Answer:
x-8
Step-by-step explanation:
since we dont know how much gas is in the tank, lets make that X.
and since we subtract 8 gallons from how much is in the tank, we make that X-8
Answer:
Inequality:
x < 8
The Graph Would be the Hallow Dot on the 8, then it would go the left way.
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
Answer:
$5,843.9
Step-by-step explanation:
2016
Total health care cost in US = $1.7 trillion
= $1,700,000,000,000
Population in US = 290.9 million.
= 290,900,000
Average amount spent per person on health care = Total health care cost in US / Population in US
= 1,700,000,000,000 / 290,900,000
= $5843.9326228944
Approximately,
$5,843.9
To the nearest whole number
= $5,844
What is the weight of one boxe of a 165 ounces
Answer:
10 pounds
Step-by-step explanation:
165 ounces = 10 pounds
Answer:
10 pounds, 5 ounces
Step-by-step explanation:
The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.
Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.
PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?
Answer:
10000 times 3 times 0.04 = 1200
Answer:
11268.25
Step-by-step explanation:
[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]
