What is the value of x in the figure below if JW=17 and YW=3x+1
(will mark brainlest)
Answers
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached parallelogram
[tex]JW = 17[/tex]
[tex]YW = 3x + 1[/tex]
Required
Find x
JW is the midpoint of YW. So:
[tex]YW = 2 * JW[/tex]
This gives
[tex]3x + 1 = 2 * 17[/tex]
[tex]3x + 1 = 34[/tex]
Subtract 1 from both sides
[tex]3x = 33[/tex]
Divide through by 2
[tex]x = 11[/tex]
Related Questions
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)
Answers
Answer:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
Step-by-step explanation:
Given
[tex]x=t[/tex]
[tex]y=e^{-t}[/tex]
[tex]z=2t-t^2[/tex]
(0, 1, 0)
The vector equation is given as:
[tex]r(t) = (x,y,z)[/tex]
Substitute values for x, y and z
[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]
Differentiate:
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
The parametric value that corresponds to (0, 1, 0) is:
[tex]t = 0[/tex]
Substitute 0 for t in r'(t)
[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]
[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]
[tex]r'(0) = (1,\ -1,\ 2)[/tex]
The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)
It should be noted that:
The equation of a line through position vector a and parallel to vector v is given as:
[tex]r(t) = a + tv[/tex]
Such that:
[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]
The equation becomes:
[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]
[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]
[tex]r(t) = (0+t,1-t,0+2t)[/tex]
[tex]r(t) = (t,1-t,2t)[/tex]
By comparison:
[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]
The parametric equations for the tangent line are:
[tex]x = t[/tex]
[tex]y = 1 - t[/tex]
[tex]z = 2t[/tex]
if x degree + x + 10 degree + x + 15 degree + x + 20 degree + x + 25 degree + x + 30 degree
Answers
Answer:
x° + x° + 10° + x° + 15° + x° + 20° + x° + 25° + x° + 30°
= 6x° + (10 + 15 + 20 + 25 + 30)°
= 6x° + 100
0 = 6x + 100
6x = 100
X = 100/6
X = 16.66
PLEASE HELP!!! I WILL GIVE BRAINLIEST
Answers
Answer:x=2y=3
Step-by-step explanation: I did this before
What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10
Answers
Answer:
x - 2 and x + 5
Step-by-step explanation:
Given Area Of rectangle
= x² + 3x - 10
= x² + ( 5 - 2)x - 10
=x² + 5x - 2x - 10
= x ( x + 5 ) - 2 ( x + 5 )
= ( x + 5 ) ( x - 2 )
Hope it will help :)❤
Answer:
B. x-2 and x+5
Step-by-step explanation:
Maria has a recipe for pumpkin bread. She uses 3 ½ cups of flour to make 2 loaves of pumpkin bread. Alex will follow the same recipe. He will make b loaves of pumpkin bread using f cups of flour. Write an equation that represents the relationship between b and f.
Answers
Answer:
b + 1.75f
Step-by-step explanation:
1.75 cups are used for every loaf of pumpkin bread.
Answer:
f(4/7)=b
Step-by-step explanation:
3+1/2=7/2
(7/2)x=2
x=4/7
the constant of the equation is 4/7
so take f and b and put f in place for 7/2 cups and b for 2 loaves of bread.
f(4/7)=b
Hope that helps :)
Find the distance between (−9, 7) and (−6, 7).
Answers
Answer:
(6,7),(9,6)
Step-by-step explanation:
HOPE THIS HELPS!!!!
What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units
Answers
Answer:
B) 68 units^2
Step-by-step explanation:
8 x 17 x 0.5 = 68 units^2
A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88
Answers
Answer:
135.87
Step-by-step explanation:
7% of 126.99 is 8.8893
add 126.99 to 8.8893
you get ~135.87
Answer:
8.89
Step-by-step explanation:
Take the cost of the item times the tax rate to find the amount of tax
126.99 * 7%
Change to decimal form
126.99 * .07
8.8893
Round to the nearest cent
8.89
Pls help, thank you :)
Answers
3,500,000 divided by 100
That equals
=35000
So (3)
Hope this helped ^^
Answer:
(3)
Step-by-step explanation:
Amr sells 6 pounds of turkey for $ 48.75. What is the unit price ?
Answers
Answer:
the unit price would be 8.125
Step-by-step explanation:
13x² -7x -8 how to solve this
Answers
Answer:
132x-8
Step-by-step explanation:
I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.
It's a simplification I don't know if you needed that.
8 inches is which fraction of 1 yard?
Answers
Answer:
8/36 yard or 2/9
Step-by-step explanation:
HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL
Answers
s-10
taking 10 away from s is really just subtracting 10 from s.
:)
Hi i need help with this please?!??!!
Answers
Answer:
May be your answer is option 3
Answer pls is mathematically is due today in 1 m
Answers
Answer:
200.96 units^2 or 64π units^2
Step-by-step explanation:
8^2(3.14) = 200.96 units^2 or 64π units^2
(multiplied by 2 to change the radius to diameter)
what is the density of the oak board? it is 5.5 inches wide, 1.5 inches thick and 3 feet long
Answers
multiply 5.5 the width with 1.5 by 3 which gives you 24.75 inches feet long.
5.5 x 1.5 x 3=24.75 that's your answer.
Answer:297 cubic inches, other person is incorrect.
Step-by-step explanation:5.5 inches* 1.5inches * 3 feet
Convert 3 feet to inches and you have 36 inches. So now it becomes 5.5inches*1.5inches*36inches = 297 cubic inches
For f (x) = 2x+1 and g(x) = x2 - 7, find (fºg)(2).
Answers
Answer:
Step-by-step explanation:
Your first step will be to set up the problem:
f(x) - g(x)
Next you will substitute in your values:
(2x + 1) - (x2 - 7)
The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:
2x + 1 - x2 + 7
Then combine your like terms:
2x - x2 + 8
Lastly put your expression in standard form (highest exponent to lowest)
-x2 + 2x + 8
Hope this helped!
please help i don't know this one
Answers
Answer:
Hey do you know the answer to the question you wrote a while ago?
Step-by-step explanation:
(02.05)
Two similar triangles are shown on the coordinate grid:
A coordinate plane is shown. Triangle XYZ has vertices X at negative 5 comma negative 1, Y at negative 6 comma negative 2, and Z at negative 3 comma negative 2. Triangle X double-prime Y double-prime Z double-prime has vertices X double-prime at 10 comma negative 2, Y double-prime at 12 comma negative 4, and Z double-prime at 6 comma negative 4.
Which set of transformations has been performed on triangle XYZ to form triangle X′′Y′′Z′′?
Do you?? :(
Find the equation of a line that passes through the point (-2,4) and has a gradient of -3.
Leave your answer in the form
y
=
m
x
+
c
Answers
Equation of a line is y = mx +c
m is the gradient, which is given as -3 so now you have:
y = -3x + c
Replace y and x with the given point and solve for c:
4 = -3(-2) + c
Simplify:
4 = 6 + c
Subtract 6 from both sides:
c = -2
The equation becomes:
y = -3x-2
1. A car travels at an average rate of speed of 60 miles per hour for 7.5 hours. How many miles does this car travel?
Answers
Answer:
450
Step-by-step explanation:
60 x 7.5=450
You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent
Answers
Answer:
8%
Step-by-step explanation:
For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.
For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.
20 = (500)(r)(0.5)
20 = 250r
r = 0.08 = 8%
what is the area of the shaded region in the figure below
Answers
Answer:
4 cm^2
Step-by-step explanation:
2 x 2 x 0.5 x 2 = 4 cm^2
Hi there!
[tex]\huge\boxed{4 \text{ cm}^{2}}[/tex]
Find the area of the shaded area using the given dimensions:
The shaded area is divided up into two triangles, each with a base of 2 cm and a height of 2 cm. Use the following equation to solve for area:
A = 1/2(bh)
A = 1/2(2 · 2)
A = 1/2(4) = 2 cm²
There are two triangles, therefore:
2 × 2 = 4 cm²
In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If this number drops by 16%, how many cars will the dealer sell then? Round to the nearest whole number.
A 203 cars
B 309 cars
C 273 cars
D 256 cars
Answers
Answer:
c. 273 cars
Step-by-step explanation:
First you need to find what 16% of 325 is
325x.16=52
because the number sold dropped by 16% you will subtract 52 from 325
325-52=273
you can also calculate the answer by subtracting 100% by 16%
100%-16%=84%
now you can calculate 84% of 325
325x.84=273
Which equation is correct?
75 × 4 = 70 + 5 × 4
75 × 4 = 70 × 4 + 5 × 4
75 × 4 = 700 × 4 + 5 × 4
75 × 4 = 70 × 4 + 5
Answers
75 x 4= 70 + 5 x 4
10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?
Answers
Answer:
0.6
Step-by-step explanation:
2(x+19)=39.2
x+19=19.6
x=0.6
Which ones are correct?
Answers
Answer:
120 x 10^3
7 x 10^5
9 x 10^4
Step-by-step explanation:
Which of the following is the product of (3x − 5) and (3x + 5)?
Answers
Answer:
[tex] {9x}^{2} - 30x + 25[/tex]
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
(3x + 5)(3x - 5)
By using identity
(a + b)(a - b) = a² - b²
3x² - 5²
9x² - 25
A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?
Answers
Answer:
24.1cm
Step-by-step explanation:
Write an equation to show how to find the total length, in meters, of the 8 pieces of wood.
Answers
Answer:
256
Step-by-step explanation:
8↑2 + 8↑2 +8↑2+8↑2+8↑2+8↑2+8↑2+8↑2
8x2x2=32 8x2=16x2=3232x8= 256 +1 32 x 8______ 2 5 62x8=16 **then add the +1 to the 3**3x8=24nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número