Answers
==============================================================
Explanation:
For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.
This means AC = BD.
Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations
AP = PCBP = DPWe'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.
---------------
By the segment addition postulate, we know that
BP+DP = BD
(-2x+23)+(3y-6) = BD
BD = -2x+3y+17
Since the diagonals are equal, we also know that AC = -2x+3y+17
We are given that AC = 2x+4
Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17
---------------
The conclusion of each the last two sections was the following two equations
-2x+23 = 3y-62x+4 = -2x+3y+17We have two equations and two unknowns. We have enough info to be able to find x and y.
Let's isolate 3y in the first equation
-2x+23 = 3y-6
3y-6 = -2x+23
3y = -2x+23+6
3y = -2x+29
Then we can plug this into the second equation
2x+4 = -2x+3y+17
2x+4 = -2x+(3y)+17
2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29
Now solve for x
2x+4 = -2x+(-2x+29)+17
2x+4 = -2x-2x+29+17
2x+4 = -4x+46
2x+4x = 46-4
6x = 42
x = 42/6
x = 7
We then use this to find y
3y = -2x+29
3y = -2(7)+29
3y = -14+29
3y = 15
y = 15/3
y = 5
Answer:
I used the method of replacement on the sistem of equations.
The final answer I got was y=5
Related Questions
Can someone pls help me right quick hurry pls
Answers
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
4 in hundreds (400)
3 in ones (3)
2 in tenths (.2)
9 in hundredths (.09)
If Big Bun won 5 out of 25 matches, what percent did he win?
Answers
Answer:
5/25*100=
1/5*100=100+5=20
the length of the rectangular field is 7 times of its breadth its area is 1792 square metres find the cost of fencing it at the rate of rupees 1.5 per metre
Answers
Answer:
Step-by-step explanation:
first you would need to find the perimeter in order to find the cost of fencing.
x(7x)=1792
7x^2=1792
x^2=256
x=16
so you have x which is the width. now time to find the length
16 times 7 is 112
112 is your width
112+112+16+16 is 256, which is your perimeter.
256 times 1.5 is your cost, or 384 rupees
Angela’s car leaked 6 ounces of oil in 9 days what is the unit rate of the oil leak ??
Answers
angelas car leaked=6ounces
angeales car leaked in 9days = 6×9=54
help plz rn fast fastvlook at pic!
Answers
Answer:
9/15/19
Step-by-step explanation:
slope 1/4 and y intercept is -5
point slope
Answers
Answer:
uhhyvygygyggyhygybybybyvtvtv
How can I estimate 26×22
Answers
Answer:
Hi if you are simply looking to estimate 26x22 then you could round each number to get 30x20 and that would make 600 your estimate! Hope this helps!
Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)
Answers
Answer:
The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
Step-by-step explanation:
The standard form of equation is [tex]Ax+By=C[/tex]
Finding slope
Using the given points (0,-4) and (-3,-2) we can find slope using formula:[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}[/tex]
Finding y-intercept
Using point (0,4) and Slope=-2/3 we can find y-intercept
[tex]y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4[/tex]
The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:
[tex]y=mx+b\\y=-\frac{2}{3}x-4[/tex]
Now, standard form of equation will be: [tex]\frac{2}{3}x+y=-4[/tex]
So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is [tex]\frac{2}{3}x+y=-4[/tex]
PLEASE HELP QUICK
What is the simplified expression for the expression below?
–1(2x + 3) – 2(x – 1)
–4x + 1
–4x – 2
–4x + 2
–4x – 1
Answers
Answer:
-4x - 1
Step-by-step explanation:
i used a calculator and got that
You get 20% off a new jacket that costs 80$ what will you have to spend on that jacket?
Answers
Answer:
$64
Step-by-step explanation:
10 percent of 80 dollars is 8 dollars, and 20 percent is 16 dollars, now subtract 16 from 80 dollars and you will get 64 dollars
Answer:
$64
Step-by-step explanation:
if there are 40 seats per row, how many seats are in 90 rows?
Answers
Answer:
the answer is 3600
Step-by-step explanation:
90x40=3600
Answer:
3600 seats
Step-by-step explanation:
90 × 40 = 3600
3600 seats
i got 15 points out of 20 what is my grade
Answers
Answer:
75% (Letter grade = C)
Step-by-step explanation:
15 ÷ 20 = 0.75Multiply by 100: 0.75 × 100 = 75So, your grade was a 75% (letter grade = C)Answer:
75%
Step-by-step explanation:
We need to find out what your grade is.
Since we know that you got 15 out of 20 points we need to find the Greatest Common Factor of these two numbers.
1. [tex]5\left \{ {{15 / 5} \atop {20 / 5 }} \right}} = \frac{3}{4}[/tex]
Now we need to turn this fraction into a decimal.
In order to do that we need to divide our 3 by our 4.
2. [tex]\frac{3}{4} = .75[/tex]
Finally, we need to turn this decimal into a percentage.
In order to do this we must multiply our decimal by 100.
3. .75 * 100 = 75%
Feel free to give brainliest.
Have a great day!
Please Help
What is the polar form of -9 square root 3 EndRoot + 9 i?
A. 18(cos(120°) + isin(120°))
B. 18(cos(150°) + isin(150°))
C. 324(cos(120°) + isin(120°))
D. 324(cos(150°) + isin(150°))
Answers
Answer:
The correct answer is B) 18(cos(150)+isin(150))
Step-by-step explanation:
Hope this helps!
What is the y-intercept (b) of the line? (Use frame 5 in Jamboard to answer this question) please help!! thank you!!
Answers
Math plz help
Geometry
Answers
????
Answer:
Okay
Step-by-step explanation:
Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.
So,
12x° + 8x° = 180°
20x°= 180°
x°= 180/20
x°= 9°
Hope you understand. Thank you
HELPPP PLEASEEE !!! John draws AABD, with CD as the perpendicular bisector of AB such that AACD and ABCD are congruent to each other.
DO
Which statement can John use this figure to prove?
Every isosceles triangle is a right triangle.
The base angles of any triangle are congruent.
The points on the perpendicular bisector of a side of a triangle are equidistant from all of the vertices of the triangle.
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Answers
Answer:
The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.
Step-by-step explanation:
It is the last option. The perpendicular bisector theorem states that if a point lies on the bisector of a segment it is equidistant from the endpoints.
Meaning
If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .
The first three choices are incorrect because
1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.
2) The base angles of any triangle can be different or same .
3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.
The statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.
Recall:
The perpendicular bisector theorem states that any point on a perpendicular bisector of the side of a triangle is equidistant from the two endpoints or vertices of the side the perpendicular bisector bisects.From the triangle in the image drawn by John, it means that since CD a perpendicular bisector of side AB, it means that the distance from point D to vertex A and the distance from point D to vertex B are equal.
Therefore, the statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.Learn more here:
https://brainly.com/question/4137998
Please help me ASAP
Answers
=====================================================
Explanation:
This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.
See the diagram below.
---------------------
A nonvisual approach will have you plug each of the coordinates into the given inequality.
For instance, choice A has x = 0 and y = 2 pair up which plug in to get
y < (-2/3)x + 2
2 < (-2/3)*0 + 2
2 < 2
which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because
y < (-2/3)x + 2
0 < (-2/3)*0 + 2
0 < 2
which confirms the answer we got when we used the visual approach.
There are 39.37 inches in 1 meter. How many inches are in 8 · 104 meters?
Answers
Step-by-step explanation:
[tex]1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches[/tex]
There are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Important information:
There are 39.37 inches in 1 meter.Convert meter to inches:Using the given information,
1 meter = 39.37 inches
Using this conversion, we get
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times (8\cdot 10^4)[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]39.37\times 80000[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3149600[/tex] inches
[tex]8\cdot 10^4[/tex] meter = [tex]3.1496\cdot 10^6[/tex] inches
Therefore, there are [tex]3.1496\cdot 10^6[/tex] inches in [tex]8\cdot 10^4[/tex] meter.
Find out more about 'Convert meter to inches' here:
https://brainly.com/question/2284603
12 1/2 gal= qt
can you help me plsssssss
Answers
Answer:
50 qrts
Step-by-step explanation:
12.5 gal = 4x qrts
12.5 * 4 = 50
in 1/2 a gal. there is 2qt.
so that makes a gal = 4qt.
12 x 4 =48qt plus 2qt equals 50 qt
40 is 60% of what number? **ROUND TO THE NEAREST TENTH** *
Answers
Answer:
66.7
Step-by-step explanation:
hope this helps
Answer:
40 is 60% of 66.7
Step-by-step explanation:
By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7
hope this helps! =)
PLZZ HELP MEEEE
The length of the house is 50 m. In the plan, it is 12.5 cm. What is the scale of the house plan?
Answers
Answer:
Step-by-step explanation:
lol i think 800 m imao if im not corecct
Answer: 1:400
Step-by-step explanation:
Which graph is a possible graph of the points (5, -3) and
(-5, -3)?
Answers
Answer:
y=-3
I hope this is good enough:
At a hockey game, a vender sold a combined total of 156 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answers
Answer: They sold 104 sodas and 52 hotdogs
Step-by-step explanation: If we represent sodas as x and hotdogs as y then x+y=156. There is twice as many sodas as hotdogs so x=2y. We can then substitute x for 2y so the equation would be 2y+y=156 or 3y=156. We divide both by three and get y=52 we plug that back in to the equation x=2y and we get x=104. We then check to make sure it is correct and get 104+52=156 and 104/2=52. Hope this helps.
Jenn's phone has a fully charged battery. With normal usage, he phone will last 16 hours. How long will her battery last if it only charged 30%?
Can you show the work please, thank you!
Answers
The correct answer is 4.8 hours
Explanation:
This mathematical problem can be solved by using the rule of three, which involves finding an unknown value by using three related values. The process is shown below:
1. It is known a fully charged battery (100% battery) lasts 16 hours. This can be represented as 100 = 16. But it is not know how much a 30% battery last; this can be represented as 30 = x.
2. Write all the values
100 = 16
30 = x
3. Cross multiply to create an equation and solve the equation
100 x = 48
x = 480 / 100
x = 4.8
A number cube has a volume of 27 mm3. What is the length of one edge of the cube
Answers
3*3*3=27
Edge=3
I hope it was helpful
what is the value of x in the equation below?
-3-(-8)-(-2)=x
Answers
Answer: The X =7
Step-by-step explanation:
So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps
Which statement is TRUE for the given triangles?
A)
The triangles are similar because the ratios of the corresponding sides are
the same.
B)
The triangles are not similar because they are not the same size.
C)The triangles are not similar because they are not equilateral
D)
Similarity cannot be determined because angle measurements are not
given
Answers
Answer:
we need the pic to answer it
Step-by-step explanation:
Answer:
I have no idea
Step-by-step explanation:
What is the solution to the equation 1/2 x + 3 = 2/3 x + 1
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{1}{2} x + 3 = \frac{2}{3} x + 1 \\ [/tex]
Subtract sides 3
[tex] \frac{1}{2} x + 3 - 3 = \frac{2}{3} x + 1 - 3 \\ [/tex]
[tex] \frac{1}{2} x = \frac{2}{3} x - 2 \\ [/tex]
Multiply sides by 6
[tex]6 \times \frac{1}{2} x = 6 \times \frac{2}{3} x + 6 \times ( - 2) \\ [/tex]
[tex]3x = 4x - 12[/tex]
Subtract sides 4x
[tex] - 4x + 3x = - 4x + 4x - 12[/tex]
[tex] - x = - 12[/tex]
Negatives simplifies
[tex]x = 12[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
CHECK :
[tex] \frac{1}{2} (12) + 3 = \frac{2}{3} (12) + 1 \\ [/tex]
[tex]6 + 3 = 8 + 1[/tex]
[tex]9 = 9[/tex]
Thus the solution is correct .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
mZTRI = 3x - 5, mZIRB = x + 27,
and mZTRB = 86. Find the mZTRI.
Answers
Answer:
m∠TRI = 43
Step-by-step explanation:
m∠TRI + m∠IRB = m∠TRB
3x - 5 + x + 27 = 86
3x + x - 5 + 27 = 86 {Combine like terms}
4x + 22 = 86 {Subtract 22 from both sides}
4x = 86 - 22
4x = 64 {Divide both sides by 4}
x = 64/4
x = 16
m∠TRI = 3x - 5
= 3*16 - 5
= 48 - 5
= 43
Evaluate x=2
F(x)=2x+4
Answers
F(x)=2(2)+4
f(x)=8