Answers
Answer:
AB≅AC (two legs of isosceles triangles are always equal)
6x-14 = 4x+20
2x-14 = 20
2x = 34
x = 17
Base ⇒ 7x-12
= 7(17)-12
= 119-12
= 107
Answer:
x=17, 107
Step-by-step explanation:
Since it is given that the triangle is isosceles, we can make the following equation:
6x-14=4x+20
x=17
To find the base (7x-12), all you have to do is plug in the value of x
7x-12
7*12-12
107
I hope this helps :)
Related Questions
Find the 13th term of the geometric sequence 7, 21, 63, ...
Answers
Answer:3,720,087
Step-by-step explanation: sorry if I’m wrong
An earthworm times 2 cm into the ground each day the earth worm tunnels at about the same place every day how many days will it take the earthworm to tunnel 14 cm
Answers
Answer:
7 days
Step-by-step explanation:
Given that:
Distance tunneled into the ground each day = 2cm
The rate is the same everyday ;
Hence, to. Tunnel 14cm into the ground , it will take the earthworm;
1 day = 2cm
x days = 14cm
Cross multiply :
2x = 14
x = 14 /2
x = 7
Hence, it will take 7 days for the earthworm to tunnel 14cm
What is the equation of the line through the origin and (3, 4)?
Answers
Answer:
y = 4/3x
Step-by-step explanation:
Hope that helps you
how to write this numbers in word 76.68
Answers
Answer:
seventy-six and sixty-eight hundreths
Step-by-step explanation:
Answer:
seventy six point sixty eight
Step-by-step explanation:
Tbh it depends on the person, but this is how I would say it out loud.
A plumber charges a base fee of $ 60, and then each hour of work costs $ 15. Yesterday Joe hired the plumber to fix his sink, at a total cost of $ 240. How many hours did the plumber work 3.75 hours 4 hours 12 hours 16 hours
Answers
Answer:
12 hours
Step-by-step explanation:
Step one:
given data
base fee= $60
charge per hour= $15
let the number of hours the plumber work be x
the linear function for the charge is the equation of line.
that is y=mx+c
Step two:
given that y=$240
240=15x+60
240-60=15x
180=15x
divide both sides by 15 we have
x=180/15
x=12
The number of hours is 12
How would i do this??:: Some kinds of fruit juice are only 10% juice. Other brands are 40% juice how much of each kind of juice should be mixed together to form 5 gallons of punch which is 25% juice?
Answers
Answer:
You should mix
2.5 gallons of the first juice with
2.5 gallons of the second juice
Step-by-step explanation:
Step one
Let the first kind of juice be x
Let the second be y
Given x contain 10% juice
and y contains 40% juice
So for the percentage constituent concentration of each the expression is
0.1x+ 0.4y=0.25(5)
0.1x+0.4y=1.25—----------------1
Step two
Also for the volume of the mixture, we are working with 5 gallons hence the expression
x+y=5-------------------------------2
The system of equation for the situation is
0.1x+0.4y=1.25------1
x+y=5-------------------2
From equation 2
x=5-y
Put x=5-y in the equation
0.1(5-y) +0.4y=1.25------1
0.5-0.1y+0.4y=1.25
0.3y=1.25-0.5
0.3y=0.75
Dividing both sides by 0. 3
y=0.75/0.3
y=2.5
x=5-y
x=5-2.5
x=2.5
The mixture should consist of
2.5 gallons of the first juice with
2.5 gallons of the second juice
what is 1,296 divided by 22
Answers
Answer:
58.9090 rounded to nearest whole it's 59
Step-by-step explanation:
Hope this helps ya!
If you need work tell me.
Evaluate each value expression for the given value of x: x-5 , x - =22
pls fast
Answers
Answer:
-18
Step-by-step explanation:
-18
brainlest please
Dos padres de familia deseaban saber cuáles son los costos de los uniformes escolares que compraron a sus hijos, ya que el primero padre de familia realizó la siguiente compra: 2 pantalones y 2 playeras pagando por ello $820, el segundo padre de familia realizó la siguiente compra, 1 pantalón y 3 playeras pagando por ello $490. Resuelve los siguente cuestionamientos ¿Los padre de familia pagaron al mismo precio cada pantalón y playera? ¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Answers
Answer:
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Step-by-step explanation:
Dos padres querían saber el costo de los uniformes escolares que compraban para sus hijos, ya que
Representemos pantalones = p
camisas = s
Derivamos las 2 ecuaciones
El primer padre hizo la siguiente compra: 2 pantalones y 2 camisas pagando $ 820 por ella
2p + 2s = 820 ........ Ecuación 1
El segundo padre hizo la siguiente compra, 1 pantalón y 3 camisas pagando $ 490.
p + 3s = 490 ....... Ecuación 2
p = 490 - 3 s
Resolvamos el precio de cada pantalón y camisa.
Nosotros sustituimos
2p + 2s = 820
2 (490 - 3 s) + 2 s = 820
980 - 6s + 2s = 820
980 - 820 = 6 segundos - 2 segundos
160 = 4 s
s = 160/4
s = $ 40
Por lo tanto, el costo de cada camisa = $ 40
El costo de los pantalones =
p = 490 - 3 s
p = 490 - 3 (40)
p = 490 - 120
p = $ 370
El costo de cada pantalón = $ 370
Resuelve las siguientes preguntas.
a) ¿Pagaron los padres el mismo precio por cada pantalón y camisa?
Sí, los padres pagaron la misma cantidad por cada pantalón y camisa porque,
1 camisa = $ 40
1 pantalón = $ 370
b) ¿Hay alguna diferencia entre xey en la ecuación 1 y con respecto a la ecuación 2?
Sí, hay una diferencia
Planteando y resolviendo un sistema de ecuaciones, veremos que cada playera cuesta $40 y cada pantalon cuesta $370.
Definamos:
x = precio de pantalonesy = precio de playeras.Por la información dada, tenemos que:
2*x + 2*y = $820
1*x + 3*y = $490
Primero respondamos las preguntas:
Notar que ambas preguntas basicamente preguntan la misma cosa:
¿Existe diferencia entre x e y en la ecuación 1 y con respecto a la ecuación 2?
Es realmente imposible saber la respuesta, pero debemos asumir que no, dado que si x e y representan diferentes cosas en cada ecuación, entonces las variables no estan definidas, y el problema es imposible de resolver.
Así que asumimos que los precios son los mismos.
con esto en mente, podemos resolver el sistema:
2*x + 2*y = $820
1*x + 3*y = $490
Primero, aislamos una variable en una ecuación, en este caso voy a aislar x en la segunda:
x = $490 - 3*y
Reemplazamos eso en la primera:
2*($490 - 3*y) + 2*y = $820
$980 - 4*y = $820
$980 - $820 = 4*y
$160/4 = y = $40
Es decir, el precio de cada playera es $40.
Mientras que:
x = $490 - 3*$40 = $370
Cada pantalon cuesta $370
Si quieres aprender más, puedes leer:
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You are trying to memorize a speech for your public
speaking class. After 1 day, you memorized 200 words. Each
of the following days, you memorized an additional 30
words.
Use the given information to write a linear equation in point-
ten
slope form. Then use the equation to find the number of
words will you have memorized after 8 days.
words
Answers
y= 30x + 200 is the linear equation at this location.
After eight days, 440 words have been retained.
What is Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."Ax+By=C is the usual form for two-variable linear equations.y= 30x + 200 x=8 30(8) +200 = 240+200 = 440The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.First-order equations are referred to as linear equations. These equations combine to make a straight line, and the equation y=mx+b, where m stands for the slope, represents a linear equation. In linear equations, one or more variables can be used.To learn more about Linear equation refer to:
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WILL GIVE BRAINIEST IF RIGHT
(AMC8, 1994) Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at midpoints of the sides. How do the areas of the shaded regions compare?
A. The shaded areas in all three are equal.
B. Only the shaded areas I and II are equal.
C. Only the shaded areas of I and III are equal.
D. Only the shaded areas of II and III are equal.
E. The shaded areas of I, II and III are all different.
Answers
Answer:
i dont ill tell u when im ready
Step-by-step explanation:
What is the area of this trapezoid?
Answers
Answer:
153
Step-by-step explanation:
A navigator on a boat measures the angle between the course of the boat and the lighthouse on shore to be 70 degrees. After the boat has traveled 3000 m, the navigator measure the angle to be 100 degrees. How far, to the nearest metre, was the boat from the lighthouse at the time of the first sighting?
Answers
hi pls where can I get physics questions on checking the correctness of an equation using dimensional analysis
Honestly I don't know what to do at this point please help
Joe is working at the storage yard. It is 50 yards from the entrance (V) to the checkpoint (W). From there, it is 40 yards to the guard post (X). From his spot at the guard post, Joe notices a barrel tipped over 12 yards away (Z). The spill stretches to the fence (Y). If AXYZ is similar to AXVW, what is the distance d across the chemical spill? * zd Y 12 yd X 40 yd 50 yd W
Answers
Answer:
15 yds
Step-by-step explanation:
40 divided by 50 equals 4/5, so the lengths of the other triangle have to match that ratio. 3 fits into 12 four times and 15 five times, which makes it a four to five ratio.
guys please help!!!! i NEED to get these right to pass!!!! I WILL GIVE THE BRAINLIEST!!!!
Answers
Answer:
Answer in order, 12,14, (4,3), x2, 4, 12, 3
Step-by-step explanation:
PLEASE MARK BRAINLIEST
help me please thanks
Answers
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle? 27° 36° 54° 72°
Answers
Answer:72
Step-by-step explanation:
Answer:
The answer is D) 72
Step-by-step explanation:
I got the questions right on edge 2020. good luck everyone. please rate the question.
what are the steps to solve -8(p+2)+p=4(p+3)+5
Answers
Answer:
p = -3
Step-by-step explanation:
Pls help me I have other homework to do. Also it detects if it’s right or wrong:(
Answers
Answer:
It's blurry
Step-by-step explanation:
lines A and B are parallel what is the measurement of angle b?
Answers
Answer:
79
Step-by-step explanation:
Since the two lines are parralel, then the angles should be the same.
Answer:
79 degrees for sure
Step-by-step explanation:
this is because im pretty sure its right.
both angles look same to me trust me
pls mark braineslt if im right
Please help me :) I need #32
Answers
Answer:
1/5
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-3 - (-1)) / (-7 - 3)
= -2 / -10
= 1/5
** pay attention to your minus signs
Does anyone know the answers to these two? Pls pls tell me if you do, with an explanation if you can, I really need to pass these two question :)
Answers
Answer:
The first one is none of the answers are correct and the second one is -1,-7
Step-by-step explanation:
Just plug in the x and y values
a small table is 2 feet by 3 feet a large table is twice as long and rwice as wide as the small table. Whats the area of the large in square feet
Answers
Answer:
The area of larger table is 24 square feet.
Step-by-step explanation:
Given are the length and width of small table
[tex]l_s = 2\ ft\\w_s = 3\ ft[/tex]
The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table
So the length and width of larger table will be:
[tex]l_l = 2*2 = 4\ feet\\w_l = 3*2 = 6\ feet[/tex]
The area of larger table will be:
[tex]A_l = l_l*w_l\\= 4 * 6\\=24\ ft^2[/tex]
Hence,
The area of larger table is 24 square feet.
Solve the equation 5.4g + 4 = 1.4g +20.
a. Find the value of g.
b. Explain how you can check that the value you found for g is correct. If your check does not work,
does that mean that your result is incorrect? Explain.
a. g=1
Answers
b. first you're going to subtract 1.4g from both sides;
5.4g + 4 - 1.4g = 1.4g + 20 - 1.4g
then simplify it;
4g+4=20
then, you'll subtract 4 from both sides;
4g + 4 - 4 = 20 - 4
then simplify again;
4g=16
lastly, you will divide 4 from both sides;
4g/4 = 16/4
since 16/4=4, then g=4
If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.
Answers
Answer:
The equation in slope-intercept form is[tex]y=\frac{5}{2}x-5[/tex]
The equation in the standard form will be:[tex]\frac{5}{2}x-y=5[/tex]
Step-by-step explanation:
The x-intercept is obtained when we set the value y=0As the x-intercept is 2, therefore the point representing
the x-intercept will be: (2, 0)
The y-intercept is obtained when we set the value x=0As the y-intercept is -5, therefore the point representing
the y-intercept will be: (0, -5)
So we get the two points
(2, 0)
(0, -5)
Finding the slope between (2, 0) and (0, -5)
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-5-0}{0-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here m is the slope
substituting the values m = 5/2 and the point (2, 0)
[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]
so writing the equation in slope-intercept form
As we know that the slope-intercept form is
[tex]y=mx+b[/tex]
here
m = gradient or slop b = y-interceptso
[tex]y=\frac{5}{2}\left(x-2\right)[/tex]
[tex]y=\frac{5}{2}x-5[/tex]
Hence, the equation in slope-intercept form is
[tex]y=\frac{5}{2}x-5[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
As we already know the equation in slope-intercept form
[tex]y=\frac{5}{2}x-5[/tex]
so the equation in the standard form will be:
[tex]\frac{5}{2}x-y=5[/tex]
help plz this type of stuff is confusing
Answers
Answer: Corresponding Angles
Step-by-step explanation:
trust me
3/4 (x - 3) - 1/2 2/3 whats the value of x
Answers
3/4. x - 3/4 . (-3) -1/2 . 2/3 = 0
3/4x - 2.25 -3/4 = 0
3/4x -2.25 = 3/4
x - 2.25 = (3/4)/(3/4) or just 1
x = 2.25 + 1
x = 3.25
Answer:
probably wrong
Step-by-step explanation:
3/4 (x - 3) - 1/2 2/3 [all x4]
12/4 . 4(x-3) -4/2. 8/3
3. 4x-12 -2 . 8/3 [all x3]
9. 12x-36 -6 . 8
108x - 36 -48
108x = 36 + 48
108x = 84
x = 84/108
x = 7/9
15 - 3k = 10(k-5)
Can someone please answer this
Answers
Answer:
k = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
15 - 3k = 10(k - 5)
Step 2: Solve for k
Distribute 10: 15 - 3k = 10k - 50Add 3k to both sides: 15 = 13k - 50Add 50 to both sides: 65 = 13kDivide 13 on both sides: 5 = kRewrite: k = 5Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 15 - 3(5) = 10(5 - 5)Subtract: 15 - 3(5) = 10(0)Multiply: 15 - 15 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:
k=5
Step-by-step explanation:
1. Apply distributive property: 15-3k=10k-50
2. Bring all variables to one side: 15-3k=10k-50
+3k +3k
15=13k-50
3. Isolate K by bring the term in it's way to the other side: 15=13k-50
+50. +50
65=13k
4. Isole your variable by divide by 13: 65=13k
65/13 13/13
5=k
PLEASE HELP THIS WAS DUE LAST WEEK!!!!!!!!!!!!!
Zach and Josh see a drawing of a quadrilateral FOUR, F(2, 2) O(5, -2) U(9, 1) and R(6, 5). Zach says the drawing is a rhombus, but not a square. Josh says the figure is a square. Who is correct? Give an explanation or work that supports your answer.
Answers
Answer:
Zack is correct
Step-by-step explanation:
when we plot out all the points we see that not all sides are the same length, which is techinally defines a square. Because of the different sides lengths we know it is a rhombus.
Josh was correct as the figure is Square.
What is Distance Formula?In a Cartesian plane there are two points P(a, b) and Q(c, d) then the distance between two points
PQ = √(c- a)² + (d- b)²
We have the coordinates F(2, 2) O(5, -2) U(9, 1) and R(6, 5).
Now using Distance Formula
FO = √(-2 - 2)² + (5- 2)² = √16 + 9 = √25 = 5 unit
OU = √(1 + 2)² + (9-5)² = √9 + 16 = √25 =5 unit
UR = 5 unit
RF = 5 unit
and, FU = √(1 -2)² + (9- 2)² = √1 + 49 = √50 = 5√2
OR = √(5+2)² + (6-5)² = √49 +1 = 5√2
So, the given figure is square because the length of Diagonal are equal.
Learn more about Distance formula here:
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f) 16 - p = 12
g) 18 - 2p = 6
h)p2+ 4 = 9
i)p4- 3 = 1
**MUST SHOW YOUR WORK**
Answers
4 - p = 0 plus p
p = 4
g) 18 - 2p = 6 divide by -2
-9 + p = -3 plus 9
p = 6
h) p x 2 + 4 = 9 divided by 2
p + 2 = 4.5 minus 2
p = 2.5
i) p x 4 - 3 = 1 plus 3
p x 4 = 4 divided by 4
p = 1