Answer:
AD = 6
Step-by-step explanation:
5+x-----12
5------10
50+10x = 60
10x = 60-50
10x = 10
x = 1
AD = 5+1
AD = 6
Write an informal proof to show triangles ABC and DEF are similar.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
a
Step-by-step explanation:
I will give brainliest
4 = u/10
what is the value of u?
(-20, -3) U (0,00)
what is the inequality notation?
Answer:
-20 < x < -3
Step-by-step explanation:
*math*
Find the distance between each pair of parallel lines with the given equations y=3x, y=3x+10
Answer:
sqrt10
Step-by-step explanation:
Since the closest distance between two parallel lines is a line that is perpindicular to them, we first find the line of the slope that is perpindicular to both lines. Since slope of line y = 3x+10 is 3, the slope of the line that is perpinduclar is -1/3. Therefore y = -1/3x is perpindicluar to both lines. We then find the intersection point of each line. We find said points by setting the lines equal to each other. 3x+10=-1/3x, x = -3 therefore y = 1. For the second line we get we find the origin is the intersection. Therefore since this forms a right triangle with the x axis, we find that the distance is 3^2+1^2 = sqrt10
how many solutions does -2 + x -3 = 2x + 5 -x have?
Answer:
No solutions
Step-by-step explanation:
Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)left parenthesis, 6, comma, minus, 4, right parenthesis.
Answer:
[tex]y = \frac{4}{3}x - 12[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,-8)[/tex]
[tex](x_2,y_2) = (6,-4)[/tex]
Required
Determine the equation
First, we need to determine the slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-8)}{6 -3}[/tex]
[tex]m = \frac{-4 +8}{3}[/tex]
[tex]m = \frac{4}{3}[/tex]
Next, we determine the line equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = \frac{4}{3}[/tex]
[tex](x_1,y_1) = (3,-8)[/tex]
[tex]y - (-8) = \frac{4}{3}(x - 3)[/tex]
[tex]y +8 = \frac{4}{3}(x - 3)[/tex]
[tex]y +8 = \frac{4}{3}x - 4[/tex]
[tex]y = \frac{4}{3}x - 4 - 8[/tex]
[tex]y = \frac{4}{3}x - 12[/tex]
The equation of the line that passes through (3, -8)(6, -4) is y = - 1 / 2 x - 1
The slope intercept equation is as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
The line passes through (3, -8)(6, -4)
m = -4 - 3 / 6 + 8 = -7 / 14 = - 1 / 2
y = - 1 /2 x + b
let's find b using (6, -4)
-4 = - 1 /2 (6) + b
-4 + 3 = b
b = -1
Therefore,
y = - 1 / 2 x - 1
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what is the equation of a line that passes through (4,6) and is parallel to y=2x+2 ?
Answer:
y=2x-2
Step-by-step explanation:
my work is in the picture I attached. lmk if you'd like me to explain more
Answer:
y = 2x - 2
Step-by-step explanation:
let equation of the line be y = mx + c
since it is parallel to y = 2x + 2, gradient/slope of the two lines would be the same
therefore, m = 2
since it passes through (4, 6),
sub (4, 6):
6 = 2(4) + c
c = -2
therefore equation of the line is y = 2x - 2
what is the answer
9x plus 2 (2x+3)
Step-by-step explanation:
=9x+2(2x+3)
=9x+4x+6
=13x+6 I hope so,
Which are are solutions for x^2 + 5x – 1 > 6
Answer:
it might be b and d
Step-by-step explanation:
Fredrick manages a band and sing leads vocal the band charges $700 per concert Frederick receives 175 of that money and he shares the rest equally among the other five members of the band how much money does each of the five band members receive per concert
Answer:
Each will receive $105Step-by-step explanation:
Step one:
given data
we are told that the total amount made is $700
If Frederick receives $175 from the amount made the balance left to share is
=700-175
=$525
Step two:
Hence the five band members will share $525
each of them will receive
=525/5
=$105
A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles
A. 68.76
B.70.08
C. 93.12
D. 2,808.42
Answer:
The Answer is A
Step-by-step explanation: What you do is multiply 0.42 by 78 since that is what it costs per mile which is 32.76.
And then you add 36 and you get 68.76
Which situation could be represented by the equation 38.25 = 3x?
A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?
A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?
A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?
A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Rounding decimals. 0.01426; thousandths
Answer:
0.014
Step-by-step explanation:
What is the probability of rolling at least one six on a pair of fair
dice?
It is a 67% percent chance.
2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)
Answer:
Step-by-step explanation:
2x-3y=4 x+3y=29
Hmmm I got (11,6) and I did it two different ways. Are these the only answers?
Answer:
(11, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
2x - 3y = 4
x + 3y = 29
Step 2: Rewrite systems
2x - 3y = 4
x = 29 - 3y
Step 3: Solve for y
Substitute in x: 2(29 - 3y) - 3y = 4Distribute 2: 58 - 6y - 3y = 4Combine like terms: 58 - 9y = 4Isolate y term: -9y = -54Isolate y: y = 6Step 4: Solve for x
Define: x + 3y = 29Substitute in y: x + 3(6) = 29Multiply: x + 18 = 29Isolate x: x = 11Step 5: Check
Graph the systems of equations to verify the solution set.
Martin Lukarevski, a super-hard problem published by Cambridge:
Let m be an arbitrary integer and let k=3m+1. Find all integer solutions x and y of the equation
(x + y − k)(x + y + k)=1+xy.
Answer:
Yagub Muallim is watching, grave is loading .
Step-by-step explanation:
Secant and Tangent Angles in circles.
Solve for x.
Answer:
x = 1
Step-by-step explanation:
5x + 17 = 1/2[(73x + 5) - (23x - 5)]
5x + 17 = 1/2[37x + 5 - 23x + 5]
5x + 17 = 1/2[14x + 10]
5x + 17 = 1/2 * 2(7x + 5)
5x + 17 = 7x + 5
5x - 17x = 5 - 17
-12x = - 12
x = - 12/-12
x = 1
A circle is a curve sketched out by a point moving in a plane. The value of x that will make the Secant and Tangent Angles true for the circle is 17/25.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
For the given circle, as per the Secant and Tangent Angles theorem, the measure of the angle formed by two tangents can be written as,
∠WVU = (arc WU + arc WU)/2
5x + 17 = [(37x + 5) + (23x - 5)]/2
2(5x + 17) = (37x + 5) + (23x - 5)
10x + 34 = 37x + 5 + 23x - 5
10x - 37x - 23x = 5 - 5 - 34
-50x = -34
x = 34/50
x = 17/25
Hence, the value of x is 17/25.
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3.
Lakpa buys 20 items for Rs 6000. He sells them at Rs 390 each. Calculate:
(a)
His total profit on the deal.
(b)
His percentage of profit on the deal
how long is a meter
you can not use google
1 km=1000 m
1 m=100 cm
please mark as brainliest
Complete the steps to find the value of x.
2xº
1282
please help me this question
Step-by-step explanation:
Please mark me as the brainliest answer
Answer:
x^3 - 7x^2 + 72
Step-by-step explanation:
you just subtract both equations
help I'll give brainliest and 5 starts and heart thanks
Answer:
can you expand on what you're talking about?
Answer:
Question isn't complete dude ...
Mr. Thompson plans to invest $7,500 in a savings account that earns 2.75% simple annual interest. If he makes no other deposits or withdrawals, how much money will Mr. Thompson's account be worth after 10 years.
Answer:
Mr. Thompson's account be worth $9,562.50 after 10 years
Step-by-step explanation:
Simple Interest
Interest is calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Mr. Thompson plans to invest P=7,500 in a savings account that earns r=2.75% = 0.0275.
The interest earned in t=10 years is calculated now:
I=7,500*0.0275*10
I=2,062.50
Now we add the interest to the principal:
A = $7,500 + $2,062.50
A = $9,562.50
Mr. Thompson's account be worth $9,562.50 after 10 years
Lorena compró en una tienda una remera, un pantalón y una cartera. Se sabe que el pantalón cuesta $400 más que la remera, y la cartera cuesta 5 veces el valor de la remera. Si por los tres objetos pagó, en total, $2850, ¿cuál es precio de cada uno?
Responder:
Costo de la camisa = $ 350
Pantalón = $ 750
Billetera = $ 1750
Explicación paso a paso:
Artículos comprados :
Camiseta (t); pantalones (p); y billetera (w)
El pantalón cuesta 400 más que la camisa
La billetera cuesta 5 veces el valor de la camisa
Importe total pagado = 2850
Sea el costo de la camiseta = x
Costo del pantalón = x + 400
Costo de la billetera = 5x
La suma del costo debe dar el monto total pagado:
x + x + 400 + 5x = 2850
7x + 400 = 2850
7x = 2850 - 400
7x = 2450
x = 350
Por lo tanto,
Costo de la camisa = $ 350
Pantalón = x + 400 = 350 + 400 = $ 750
Billetera = 5x = 350 * 5 = $ 1750
Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?
0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute
Answer:
6,000 meters per minute
Step-by-step explanation:
Answer:
D. 6,000 meters per minute
Step-by-step explanation:
It's right on edg 2020
hope it helps (;
Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments measuring 11 cm and 5 cm. To the nearest tenth, what is the length of the shorter leg of the triangle?
Answer:
8.4 cm
Step-by-step explanation:
Given that:
A right angled triangle, let [tex]\triangle ABD[/tex]. Right angled at [tex]\angle A[/tex].
Altitude AC to the hypotenuse BD.
Length of side BC = 5 cm
Length of side CD = 11 cm
We have to find the value of shorter leg of triangle. i.e. side AB = ?
Using the concept of similarity, we can say the following:
[tex]\dfrac{AB}{BC} = \dfrac{BD}{AB}\\\Rightarrow AB^2=BC.BD\\\Rightarrow AB^2=5\times (5+11)\\\Rightarrow AB^2=5\times 16\\\Rightarrow AB^2=80\\\Rightarrow AB=\sqrt{80}\\\Rightarrow \bold{AB\approx 8.4\ cm}[/tex]
The length of shorter leg of the triangle = 8.4 cm
A phone company charges a base fee of $25 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: C=25+ a·m/4, where a is the additional charge per minute, and m is the number of minutes used. How can we re-write this equation to solve for the additional charge per minute?
PLZ HURRY
Answer:
C=25+(a*m)
just simplyfy what it was doing
PLZ ANSWER WILL GIVE BRAINLIST 15 POINTS AND PLUS THREE FOR CORRECT ANSWER!!!!!!
Answer:
22
Step-by-step explanation:
just simple deduction
y+4= 2/3 (x+3) written in standard form
in order to solve for x which trig function would be used cosine sine or tangent
Answer:
Cosine
Step-by-step explanation:
I took the test
In order to solve for x , we use the trigonometric function cosine
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC , where ∠B = 90°
Let the side AB be x
So , the adjacent side = x
The angle of the triangle ∠A is = 72°
So , θ = 72°
The hypotenuse AC = 8
And , by trigonometric relations , we get
cos θ = adjacent / hypotenuse
Substituting the values in the equations , we get
cos 72° = x / 8
Multiply by 8 on both sides , we get
x = cos 72° × 8
Now , cos 72° = 0.30901
Substituting the value of cos 72° , we get
x = 0.30901 × 8
x = 2.472
Hence , the value of x is determined by cosine function
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