The sum of angles in a parallelogram adds up to 360 degrees
The values of x and y are 25 and 15, respectively.
The angles are given as:
[tex]\mathbf{\angle 1 = 4x + 13}[/tex]
[tex]\mathbf{\angle 2 = 4y + 7}[/tex]
[tex]\mathbf{\angle 3 = 3x - 8}[/tex]
[tex]\mathbf{\angle 4= 5x - 12}[/tex]
The opposite angles of a parallelogram are equal.
So, we have:
[tex]\mathbf{4x + 13 = 5x - 12}[/tex]
Collect like terms
[tex]\mathbf{5x - 4x = 13 + 12}[/tex]
[tex]\mathbf{x = 25}[/tex]
Simiarly, we have:
[tex]\mathbf{4y + 7 = 3x -8}[/tex]
Substitute 25 for x
[tex]\mathbf{4y + 7 = 3 \times 25 -8}[/tex]
[tex]\mathbf{4y + 7 = 75 -8}[/tex]
[tex]\mathbf{4y + 7 = 67}[/tex]
Subtract 7 to both sides
[tex]\mathbf{4y = 60}[/tex]
Divide both sides by 4
[tex]\mathbf{y = 15}[/tex]
Hence, the values of x and y are 25 and 15, respectively.
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Which parachute has a slower descent: a red parachute that falls 10 feet in 4 sec or a blue one that falls 12 feet in 6 sec?
Answer:
The red parachute
Step-by-step explanation:
In order to compare the answers you would need a common time. You could find a number both 6 and 4 factor into, but I decided to take it to one second.
I divided 10 by 4, which is 2.5. Then I took 12 and divided it by 6, which is 2. 2.5 seconds is a longer time than 2 seconds. So the red paachute has a slower decent.
A rectangle has side lengths of 9x+12 and 3x+7. What is the perimeter
Answer:
B. 24x + 38
Step-by-step explanation:
Since this is a rectangle, there will be a pair of sides that are the same. With perimeter, add up the side lengths.
[tex]2(9x+12)+2(3x+7)\\\\18x+24+6x+14\\\\24x+38[/tex]
Please help thanks dhejekekdmf
Answer:
60° is the answer
mark me brainliest
Solve for x. The figure is a parallelogram.
Thereisalinethatincludesthepoint(1, 10)andhasaslopeof5
. What
isitsequationin
slope -intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Answer: y=5x + 5
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The slope is given as 5, so we have y = 5x + b.
To find b, enter the given point (1,10) and solve for b:
y = 5x + b
10 = 5(1) + b
b = 5
The equation of a line with slope 5 and point (1,10) is y=5x + 5.
Check this with a DESMOS graph (attached).
Which expression has a negative value?
2+12
O (-3)(-8)
O 10-(-18)
O -35-5
Please huryyyy
Answer:
-72!!!!!!!!
Step-by-step explanation:
What is the value of xxx in the figure shown below?
Answer:
53°Step-by-step explanation:
in the dark I see two congruent triangles, so x = 53 °
Can you help me in this question ASAP!!!
Answer:
y-intercept=1000
slope=400
y=400x+1,000
Find the value of f(-142) for the function below.
f(x) = -0.2(x + 223)
Step-by-step explanation:
f(x) = -0,2(x + 223)
f(-142) = -0,2(-142 + 223)
f(-142) = -0,2(81)
f(-142) = 16,2
please help me to answer it..
Answer:
i want to say b)
Step-by-step explanation:
Your class is having a raffle for a new graphing calculator. You bought 2 raffle tickets while everyone else in your class bought 1. There are 15 people in your class in addition to you. What is the probability that you will win the calculator?
Step-by-step explanation:
so, there are 14 people with 1 ticket each, and I have 2 tickets.
that means there are 16 tickets (14+2) in the raffle.
each ticket has therefore a winning probability of 1/16.
I have 2 tickets, so my winning probabilty is therefore
1/16 + 1/16 = 2/16 = 1/8
Valentina usa 3/4 de kilo de harina para preparar un pastel sí vende 5 pasteles cuántos kilos de harina necesita para prepararlos
Answer:
ok so the answer is
Step-by-step explanation:
in do not under stand Espanol I will comet if I can translation
I can't find the answer does anyone know the answer to this?
Answer
Step-by-step explanation:
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What is the HCF of 100 and 196
Answer:
4
Step-by-step explanation:
Answer:
4.
Step-by-step explanation:
100 = 2*2*5*5
196 = 2*2*7*7
Picking out the common factors:
HCF = 2*2 = 4.
Part A: Find the LCM of 8 and 9. Show your work. (3 points)
Part B: Find the GCF of 35 and 63. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 35 + 63 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
I really only need help with part C
Answer:
part A: 72
part B=7
part C=7(5+9)
Step-by-step explanation:
A=the lowest common multiple found in both the 9 and 8 times table. 8s=8 16 24 32 40 48 56 64 72
9s=9 18 27 36 45 54 63 72
B=7 because 35=5×7 and if we break down 63,it
would be 9×7 or 3×3×7
C=7(5+9) because if we expand the brackets it would
be 7×5+7×9=35+63
Hope it helps?
The lowest common factor of 8 and 9 is 72, the greatest common factor of 35 and 63 is 7, and the expression (35 + 63) can be written as 7(5 + 9).and this can be determined by using the arithmetic operations.
A)
Given :
Numbers - 8 and 9
The lowest common factor of 8 and 9 is:
8 --- 8, 16, 24, 32, 40, 48, 56, 64, 72
9 --- 9, 18, 27, 36, 45, 54, 63, 72
So, the lowest common factor of 8 and 9 is 72.
B)
Given :
Numbers -- 35 and 63
The greatest common factor of 35 and 63 is:
35 = 5 [tex]\times[/tex] 7
63 = 3 [tex]\times[/tex] 3 [tex]\times[/tex] 7
So, the greatest common factor of 35 and 63 is 7.
C)
Given :
Expression -- 35 + 63
35 + 63 = 7(5 + 9)
= 7 [tex]\times[/tex] 5 + 7 [tex]\times[/tex] 9
= 35 + 63
So, the expression (35 + 63) can be written as 7(5 + 9).
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In this diagram , parallel lines are cut by transversal
Given: m< 3 (6x-5)° and m < 8 = (4x +15)°
What is the value of x
X=?
Answer:
Here is the answer x = 8, m∠8 = 115°
Step-by-step explanation:
Helppp
giving crown??!!!!!!!!!!
Answer:
the second one!
Step-by-step explanation:
ur welcome :)
Find the value of the variables in each figure. Explain your reasoning.
Answer: Number 7) x=14 and y=37
Number 8) x=28 and y=23
Step-by-step explanation: Number 7) Please see fig 1 in the attachment for naming of angle.
As per diagram line b||c and their transverse line a.
Using line and angle concepts.
{Corresponding angles of parallel line b||c}
{Supplementary angle of straight line}
Now combine the like term and solve for x and we get,
12x=180-12
x=14
For line a, 4y-10+3x=180 {Supplementary angle of straight line}
where, x=14
So, we get 4y-10+3(14)=180
4y=180-32
y=37
Number 8) Please see fig 2 in the attachment for naming of angles.
As per given diagram a||b||c and line d is transversal of all three line.
Using line and angle concepts.
{Corresponding angles of parallel line a||b}
{Supplementary angle of straight line}
3y+5y-4=180
8y=184
y=23
3y=2x+13 {Corresponding angles of parallel line b||c}
we calculated y=23 substitute into above equation and we get
3(23)=2x+13
2x=69-13
x=28
Hey guys! I need your help. with this Area of trapezium homework task.
I need the two pages of questions attached answered. and need working out. so I know how you got the answer.
Please Do not Delete this Question!**)
Quick!
Answer:
I was only able to get first page
Step-by-step explanation:
please mark BRAINLIEST
if it's correct
Determine the intercepts of the line
Answer: x intercept= (-10,0) y intercept = (0,-40)
Just look at where the line hits the x axis for the x intercept, then those coordinates are your x intercept. Then for the y intercept, look at where the line meets the y axis and then that point's coordinates are your y intercept.
Hope this helps!
Find the equation of the line that passes through (2,-1) and is parallel to
y = 4 - 2x.
Leave your answer in the form y = mx + c
Answer:
2
Step-by-step explanation:
Directions: Solve each system of equations by substitution. Check your solutions.
1. y=2x
x+y=6
2. 5x+10y=3
x=-1/2y
3. y-x=3x+2
2x+2y=14-y
ty in advance, I need it for 10 minutes if 10 mins pass, it's okay I'll wait.
Answer:
1. x=2 y=4
or (2,4)
2. x= -1/5, y= 2/5
or (-1/5, 2/5)
3. x= 4/7, y= 30/7
or (4/7, 30/7)
Hope this helped!
Some fractions can give us whole numbers by dividing the numerator by the denominator . Give the whole number for each fraction.
30/5 10/2 15/15 36/9 45/9 32/8 63/9 56/7 72/8 please help po.
Answer: 6,5,1,3,5,4,6,8,9
Step-by-step explanation:
All in order
Please help!! big test tomorrow and I really need it. PLEASEEEEE
Answer:
Step-by-step explanation: I cant understand any words can you send more pictures
A local television company determines that the revenue it gets from running ads doubles each year. The function graphed models the revenue from advertising after x years.
Answer:
African Americans contributed to the war by
combat service elements alongside their white counterparts and were involved in all major combat operations, including the advance of United Nations Forces to the Chinese border. Two African-American Army sergeants, Cornelius H. Charlton and William Thompson, earned the Medal of HonoR.
BY. BY. BY. BY. BY. BY.
Step-by-step explanation:
you needed to rotate the point (-4,-5) 180, what would the new
coordinate be?
How do I solveee?????????? Helppppppppppp
We can find all the roots by factoring each polynomials.
Case A :
A = 2x^4 + x^3 + 5x^2 + 4x - 12
1 is an obvious Root of this polynomial :
2 * 1^4 + 1^3 + 5*1^2 + 4*1 - 12 = 12 - 12 = 0
Thus we have A= (2x^3+3x^2+8x+12)(x-1)
Lets go further now by factoring 2x^3 + 3x^2 + 8x + 12
We can simply group them :
(2x^3 + 3x^2) + (8x + 12) =
x²(2x+3) + 4(2x + 3) =
(2x+3)(x²+4)
To conclude : A = (2x+3)(x²+4)(x-1)
So the roots are : 1, -3/2, 2i and - 2i
Case B :
B = 2x^4 - x^3 + 5x^2 - 4x - 12
An obvious root here is -1 :
same principle applies, we write B = (2x^3−3x^2+8x−12)(x+1)
Finally B = (x²+4)(2x-3)(x+1)
And the roots are -1, 3/2, 2i and -2i
Good Luck
A pipe extends from ground level to a location under the ground. Two-fifths of the way down the pipe, there is a leak. The leak's elevation is −6.2 meters.
What is the elevation of the end of the pipe that is under the ground?
Enter your answer as a decimal or as a mixed number in simplest form in the box.
Answer: -15.5
Step-by-step explanation:
I took the test
[tex]\to -6.2 \ \text{meters is}\ \frac{2}{5} = 0.4[/tex]
All way down the pipeline Down the line, [tex]100\% = 1[/tex]. The rule of two is[tex]-6.2\ meters \to 0.4[/tex], and [tex]x \ meters\to 1[/tex] Applying Cross multiplication:[tex]\to 0.4 x = -6.2 \\\\\to x = \frac{-6.2}{0.4}\\\\\to x = -15.5[/tex]
As a result, the elevation of the underground pipe end is -15.5 meters.
Learn more:
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WILL GIVE BRILLIANTIEST
A refreshment stand makes 2 large servings of frozen yogurt from 7 pints. Graph the line and then write
Its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
10
Servings
8
7
6
4
2
1
Pints
$
1
2
4
IN
8
9
10
2
The equation isy =

If you take a varible, lets say x, and times that by your mom. You will get y^2. After that, take ur mom and divide that by ur dads ding dong. Now they don't give us the formula to find out how long, creamy and wet your dad's ding dong is so we use the formula, busty step sis + step bro = BIG DING DONG, to get (x^69)+12 as ur dads ding dong. Now add ur mom with ur dad, y^2+(x^69) to get a child, 6969699696.
find the x and y intercepts
5-y=-3x
Answer:
x is -5/3 and y is 5
Step-by-step explanation:
