Answers
Answer:
(x, y) = (6, 2)
Step-by-step explanation:
You solve for x and y by writing equations that reflect the relation applicable to the given geometry.
The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.
2x -4 = 4y . . . . . . down diagonal
x +4 = 7y -4 . . . . . up diagonal
__
We can subtract the first equation from 2 times the second equation to eliminate the x-variable.
2(x +4) -(2x -4) = 2(7y -4) -(4y)
2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses
12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms
20 = 10y . . . . . . . . . . . . . . . . . . add 8
2 = y . . . . . . . . . . . . . . . . . . . . divide by 10
Substituting into the second equation gives ...
x +4 = 7(2) -4
x = 6 . . . . . . . . . . . . subtract 4
The values of x and y are (x, y) = (6, 2).
_____
The lengths of the diagonals are 20 and 16.
Related Questions
HELP ASAP PLZ
just answer the blanks
Answers
Answer:
i hope this helps!
Step-by-step explanation:
if there is 26.5 g of sugar in 250ml, how much in 200 ml
Answers
What equation can be written for this graph?
Pls help!!!
Answers
Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
Point 1: x=2 and y=50Point 2: x=4 and y=100Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
En la estrella la
suma de los cuatro
números de la línea
es la misma. ¿Cuáles
son los valores de: b
y c?
Answers
Sabiendo que en la estrella la suma de los cuatro números de la línea es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
En primer lugar, sabes que en la estrella la suma de los cuatro números de la línea es la misma.
Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:
12 +1 +2 +15= 30
Entonces la suma en todas las líneas debe dar como resultado 30.
Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.
Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:
12 + (8-3) + 4 + b= 30
Resolviendo:
12 + 5 + 4+ b= 30
21 + b=30
b= 30 - 21
b= 9
Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:
15 + 3 +4 + c= 30
22 + c= 30
c=30 - 22
c= 8
Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:
Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30
Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30
De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.
En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.
Aprende más con este problema similar
https://brainly.com/question/25206811?referrer=searchResultscan anyone please help me with this really quick
Answers
Answer:
90
Step-by-step explanation:
The sum of three numbers is equal to 185, so we can start with this equation, where x is the first number, y is the second, and z is the third:
x + y + z = 185
They tell us that y is 5 times greater than x, so we can insert that equation in for y in the original equation:
x + (5x) + z = 185.
And we are told z is 13 less than y, so we can insert that equation as well by using the equation before:
x + (5x) + (5x-13) = 185
So now we can combine like terms and solve for x.
6x + 5x - 13 = 185
11x - 13 = 185
11x = 198
x = 18
But we're not done, we still need to solve for the second number, which is y. So we insert the number for x into the original equation we have for y, which is that it's 5 times greater than x:
y = 5x
y = (5*18)
y = 90
What is 2/3 divided by 4/9?
Answers
Answer:
3/2.Step-by-step explanation:
2/3 ÷ 4/9=> 2/3 x 9/4=> 18/12=> 3/2Conclusion:
Therefore, 2/3 divided by 4/9 is 3/2.
Hoped this helped.
[tex]GeniusUser[/tex]
Answer: 1 1/2
Step-by-step explanation: 2/3/4/9
(2/3)(9/4) 18/12/6/6 3/2 1 1/2
What is the measure of Segment AB if Segment BD is 10?*
Answers
Answer:
10
Step-by-step explanation:
all sides of square are the same
can i get some help:
Answers
Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.
Answers
The measure is the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
30+48+x=180
x=102 ..........
..................
please can someone help with this
Answers
Answer:
true
false
true
true
Step-by-step explanation:
A.
For lines p and q, angles 2 and 3 are corresponding angles, so A is true.
B.
Angles 5 and 7 hare note corresponding angles or alternate interior angles. B is false.
C.
For lines r and s, angles 2 and 4 are corresponding angles, so C is true.
D.
For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.
82. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?
Answers
Answer:
$466.62
Step-by-step explanation:
Balance = $175 - $24.39 - $65.21 + $381.22
Use your calculator to add or subtract each new term as indicated:
$175 - $24.39 = $150.61
Next, subtract $65.21: $150.61 - $65.21 = $85.40
Finally, add $381.22: $85.40 + $381.22 = $466.62
on November 27 the new balance in rob's account became $466.62.
Which of the following is an irrational number?
A
64−−√
B
90−−√
C
25−−√
D
169−−−√
please help
Answers
Answer:
sqrt(90) is irrational
Step-by-step explanation:
sqrt(64) = 8
sqrt(90) = 3 sqrt(10)
sqrt(25) =5
sqrt(169)=13
The only one that is not simplified to an integer is sqrt(90)
sqrt(90) is irrational
help me please...
At least an explanation
Answers
Answer:
do u still need this question answeered?
Step-by-step explanation:
Which of these sets is a function ?
Answers
Answer:
A. trust me I did it and got 100
Answer:
D
since all the other 1st elements (Domains) of each ordered pairs are repeated in all options except D they are not functions.
In conclusion, a function is defined as a set of ordered pairs with wich each element of the domain has one unique y value.
please answer fast...
785 divided by 10. AND IF YOU EXPLAIN HOW YOU GOT YOUR ANSWER I WILL GIVE YOU 5 STARS RATING.
Answers
Answer:
785/10=78.5
Step-by-step explanation:
You move the decimal point back a slot since your dividing by 10
Answer:
78.5
Step-by-step explanation:
i used a calculator bc im bad at lond division XD
Drag the numbers below to put them in order from least to greatest:
8.476
8.33
8.44
8.382
8.341
8.3
Answers
Answer:
8.3, 8.33, 8.341, 8.382, 8.44, 8.476
Step-by-step explanation:
Answer:
8. 3<8.33<8.341<8.382<8.44<8.476,hope i help you❤️
Solve for the value of R.
SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!
Answers
Step-by-step explanation:
[tex](3r + 4) + (8r - 2) = 90[/tex]
[tex]3r + 4 + 8r - 2= 90[/tex]
[tex]11r = 88[/tex]
[tex]r = \frac{88}{11} \\ [/tex]
[tex]r = 8[/tex]
Divide 6.72 by 0.041 and round to the nearest hundredth
Answers
Answer: 163.90
Step-by-step explanation:
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees
a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000
pls answer asap!!!
Answers
Answer:
Hi, the answer is a.
Step-by-step explanation:
1. 1800-200=1600
2. As 1800 is total x will be smaller amount. so....
3. when we write a subtraction statement bigger number - smaller number..
4. So answer will be 1600-x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.
Then the expression is given as,
⇒ 1800 - x - 200
Simplify the expression, then we have
⇒ 1800 - x - 200
⇒ 1600 - x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
question 4 algebra maths
Answers
Answer:
30
Step-by-step explanation:
4(3)^2 +(3*-2)
4*9-6=36-6=30
Answer:
30
Step-by-step explanation:
Substitute x = 3 and y = - 2 into the expression
4x² + xy
= 4(3)² + 3(- 2)
= 4(9) - 6
= 36 - 6
= 30
Find the domain and range of this mapping diagram.
Answers
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation:
Plzzzzz plzzzzzzz help meeee
Answers
Answer:
Its correct
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Part E
While diving, Winston stopped at a point located halfway between his deepest dive and the ocean’s surface. At what elevation was Winston when he stopped halfway? PLzzzzzz HURRRY UUUPPP Ill give whoever answers this RIGHT NOW 100pts, no joke
Answers
Ex.
Deepest dive: -1000
Halfway: -500
Answer:
im pretty sure that the answer is -50.5 feet.
Step-by-step explanation:
How many 1/5 are in 3 1/2?
Answers
Answer:
17 1/2
Step-by-step explanation:
3 1/2 / 1/5=17 1/2
At the bakery shop, each baker works at his or her own speed, making the same
number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60
cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes
made and days, who has the steepest graph? Explain.
Answers
Answer:
Marissa = 28 cakes in 2 weeks
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
To compare, make sure that the variables are of equal value
Marissa = 28 cakes in 14 days
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
How many cakes does each of them bake in a day?
Marissa = 28 ÷ 14
= 2 cakes/day
Carlos = 60 ÷ 20
= 3 cakes/day
Shelby = 5 ÷ 2
= 2.5 cakes/day
Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.
4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers
Answers
Answer:
5km
Step-by-step explanation:
The formula for hypotenuse is
a squared + b squared = c squared,
4 squared is 16, and 3 squared is 9.
16+9 = c squared
25 = c squared
However, you don't want it to be squared, so you have to find the square root of 25, which is 5.
Can someone please help me solve this
Answers
Answer:
Step-by-step explanation:
It saids evaluate given the three different functions below: The graph f(x), the equation g(x) and the table h(x)
a produce store sold 32 red apples. if the ration of red apples to green apples sold was 8:3, what is the combined amount ofred and green apples sold?
Answers
Answer:
12 apples
Step-by-step explanation:
32/8=4 Then you multiply it by 3 to get 12.
Answer:
41:9
Step-by-step explanation:
You have 32 red apples.
And a ratio of red apples to green.
The ratio is 8:3.
This ratio is a simplified veiw of it.
You need to do,
32 ÷ 8
which equals 3.
So then multiply both sides of the ratio by 3.
8 × 3 is 32
3 × 3 is 9.
Your new ratio is,
32:9
Red apples to green apples.
Now since you need the total amount of apples to green apples.
Add 32 and 9.
Which is 41 total apples.
Your new ratio is,
41:9
You buy a sweater that is on sale for 20% off of the original price. The sweater cost $28. What was the original price?
Answers
Answer:
The original price was $50.
Step-by-step explanation:
Your sweater now cost $28 after 20% off.
To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.
$28/.80 = $35.
Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.
$35/.70 = $50