Answer:3
Step-by-step explanation:
use ratios
4/3 = (X+2)/2x
then cross multiply to avoid a lot of work...
4(2x)=3(X+5)
8x=3x +15
5x=15
x=3
It is easy with ratios and cross multiplication
The value of x on the triangle with lengths named x + 5 and 2x using the BPT rule is 3.
Given a bigger triangle ABC.
A line is drawn parallel to the side AC of the triangle.
This line touches side AB at point D and side BC at point E.
Here, the basic proportionality theorem can be used.
According to this theorem, when a line touching two sides of the triangle is drawn which is parallel to the third side, then the division of the other two sides are in the same ratio.
So, line DE divides the sides AB and BC in the same ratio.
This can be represented as:
\(\frac{\text{AD}}{\text{DB}} =\frac{\text{CE}}{\text{EB}}\)
Substitute the values.
\(\frac{2x}{x+5} =\frac{3}{4}\)
Cross-multiply.
4(2x) = 3(x + 5)
8x = 3x + 15
5x = 15
x = 3
Hence, the value of x is 3.
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Which line has a slope of -? 2 x – y = 0 - x + 2 y = 0 x - 2 y = 0 x + 2 y = 0 NEXT
Answer:
Easiest way to do this is to get the X's on one side of the equals sign and the Y's on the other. Then, you can choose the one with the negative sign in it.
When you do that,
First one is 2x=0+y, or y = 2x
Second one is 2y=0+x, or 2y = x (weird right)
Third one is x=0+2y, or 2y = x (again, weird right)
Final one is 2y=0-x, or 2y = -x
The final one is the answer. Cheers, but don't forget to remember this for next time bro.
Use the interactive to describe the conic given by the equation 3x2 – 9xy + 8y2 + x + y – 27 = 0.
Ellipse with foci in the first and third quadrants.
Ellipse with foci in the second and fourth quadrants.
Hyperbola with foci in the first and third quadrants.
Hyperbola with foci in the second and fourth quadrants.
Answer:
Ellipse with foci in the first and third quadrants
Step-by-step explanation:
edge 2021
(3x^2-2x+5)+(-4x+9) add polynomials
Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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Please help me answer this question ASAP
Answer:
60 km
Step-by-step explanation:
the line is constant around 3
help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
find the x
please help me asap
Sum of two interiors=Exterior
\(\\ \rm\Rrightarrow 39+6x+11=11x-10\)
\(\\ \rm\Rrightarrow 6x+50=11x-10\)
\(\\ \rm\Rrightarrow 60=5x\)
\(\\ \rm\Rrightarrow x=12\)
PLEASE HELP!!!!!! I AM GIVING BRAINLIEST!!!!! 0.6x = 87
SOLVE IT
Answer:
145
Step-by-step explanation:
I think because 87 divided by 0.6 is 87 so
what fraction is equivelent to - (7/8)
Answer: The negative sign in front of 7/8 indicates that the fraction is negative. To find an equivalent fraction, we can keep the same value but change the sign. Therefore, an equivalent fraction that is positive would be (-(7/8)) = (-7)/8.
Step-by-step explanation:
Find the sum of the geometric series if n = 6, r= 1/4, a = 2.
Sn = a(1-r^n)/(1-r)
Sn= 2(1-1/4096)/0.75= 2.67
What is the result of the mathematical expression below:
4 + 2 / 2
O 3
O 4
O 5
O 6
Answer:
5
Step-by-step explanation:
2/2 = 1
4+1=5
Solve for x and y
2 + y= -2x
-2x2+ 8xy + 42= y
\(\\ \sf\longmapsto 2+y=-2x---(1)\)
\(\\ \sf\longmapsto -2x^2+8xy+42=y\dots(2)\)
From equation (1)
\(\\ \sf\longmapsto y=-2x-2\dots(3)\)
Put in eq(2)
\(\\ \sf\longmapsto -2x^2+8x(-2x-2)+42=-2x-2\)
\(\\ \sf\longmapsto -2x^2-16x^2-16x+42=-2x-2\)
\(\\ \sf\longmapsto -18x^2-16x+2x+42+2=0\)
\(\\ \sf\longmapsto -18x^2-14x+44=0\)
On solving
\(\\ \sf\longmapsto x=\dfrac{11}{9}\:or\;-2\)
Take it whole.
x=-2Put in eq(3)
\(\\ \sf\longmapsto y=-2(-2)-2=4-2=2\)
Hence
(x,y)=(-2,2)What is the solution to the equation below?
0.5x + 20 = 0.6x
A. x = -200
B. x=2
C.x = 20
D.x = 200
Answer:
it's D 200 for sure my answer I correct
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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Find the area of the circle.
Answer:
314.00
Step-by-step explanation:
Answer:
15.70
Step-by-step explanation:
A=r^2
A sandwich costs $4.20 and a fruit drink costs $1.80. There is a 8% tax. How much
change will you get from a $10 dollar bill after purchasing both the sandwich and drink
(and paying tax of course)?
A. $6.48
B. $3.52
C. $3.70
D. $3.90
Answer:
B. 3.52
Step-by-step explanation:
4.20+1.80=6.00
6.00 x .08 (8% tax)=.48 tax
6.00+ .48=6.48 total cost
10.00-6.48=3.52 change from a $10 bill
what is 1150in hectares and in m2
Answer:
The answer is 11500000 Square Meters
Answer:
11,500,000
Step-by-step explanation:
To convert 1150 hectares to square meters, we need to multiply it by 10,000. Therefore, 1150 hectares is equal to 11,500,000 square meters. It is important to note that one hectare is equal to 10,000 square meters. So, 1150 hectares is equivalent to 11,500,000 square meters or 11,500,000 square meters. This conversion is useful when measuring large areas of land, such as agricultural fields, forests, and parks.
Please help me solve this question
The measures of the triangle found using the law of sines are;
∠B ≈ 21.85 degrees
∠C ≈ 44.15 degrees
c = 20.59
What is the law of sines?The law of sines states that the ratio of the sine of an angle and the opposite side is the same for the three sides of a triangle.
The specific information in the question are;
∠A = 114°, a = 27, b = 11
∠A is opposite to side a
∠B is opposite to side b
∠C is opposite to side c
According the law of sines, we get;
\(\dfrac{sin(A)}{a} = \dfrac{sin(B)}{b} = \dfrac{sin(C)}{c}\)
From which we get;
\(\dfrac{sin(114)}{27} = \dfrac{sin(B)}{11}\)
\(sin(B) = 11 \times \dfrac{sin(114)}{27}\)
\(\angle B =arcsine\left( 11 \times \dfrac{sin(114)}{27}\right) \approx 21.85^{\circ}\)
∠C ≈ 180° - 114° - 21.85° = 44.15°
Therefore;
\(\dfrac{sin(114)}{27} = \dfrac{sin(44.15)}{c}\)
\(c = \dfrac{27}{sin(114)} \times sin(44.15) \approx 20.59\)
c ≈ 20.59
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-2x(x-7)
wrong answers only first answer gets brainliest+100 points
The answer is -2x² + 14X
How to calculate the expression ?The first step is to open the bracket by multiplying both values in the bracket by -2x
-2x(x-7)
= -2x² + 14x
Hence the solution to the expression is -2x² + 14x
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I WILL MARK BRAINLIEST!! Find HE
Answer:
Step-by-step explanation:
i donot knpw
The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
can be used to find the number of hours (h) someone skated if he or she was charged
$4.50?
a) 0.75 + 1.25 = 4.50
b) h(0.75 + 1.25) = 4.50
c) 0.75 + 1.25h = 4.50
d) 0.75h + 1.25 = 4.50
Answer:
C.
It can be read as...
".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."
No other answer choice has this. A does not have the variable h, B includes .75 which is NOT charged per hour, as well as D.
I hope this helps you!
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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A, B, C and D are four towns.
B is 40 kilometres due East of A.
C is 40 kilometres due North of A.
D is 65 kilometres due South of A.
a) Work out the bearing of B from C.
135
b) Calculate the bearing of D from B.
Answer
+
G
a) The bearing of B from C is; 45° South-East.
b) The bearing of D from B is; 58.39° South Of West
How to calculate the bearing?a) Distance Between B and C is;
BC = √( 40² + 40²)
= 40√2
= 56.57 km
Angle of B from C = Tan⁻¹( 40/40) = 45°
Bearing of B From C = 45° South Of East
Or 90 - 45° = 45°
45° East of South
Thus, that is the bearing of B from C
b) Distance Between B and D is;
BD = √(40² + 65²)
= 76.32 km
Angle of D from B = Tan⁻¹( 65/40)
= 58.39 °
Bearing of D From B = 58.39° South Of West
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Can someone please check my answers and correct me if I am wrong. Just the answers, I don’t need explanations.
From your solutions, your answers are correct.
What is simplification?You should understand that Simplify means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Question number 10 is wrong
The question states thus
12-25 = 13
The correct answer is -13
question number 11 is wrong
The question states thus 8 /4-7/
the correct answer is -5
The questions are solved with the knowledge of BODMAS where
B=bracket
O=of
D=division
M=multiplication
A= addition
S = subtraction
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The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.
Answer:
147
Step-by-step explanation:
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
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798/8×41 rounded to one significant figure
Step-by-step explanation:
the answer is 4000
yep for sure
When Marissa started work, she was given two paid days of vacation. For each four month period she stays at the job, her vacation is increased by one day. How much vacation time will she have after working for 6.5 years? Clearly show your work.
The correct answer is 21.5 days
Explanation:
We know Marissa has two paid days of vacation plus 1 day for every four months she works. In this context, the first step is to find how much paid days of vacation she will have for working 6.5 years and add this to the 2 paid days of vacation she was given when she began to work. The steps are shown below:
1. Find the number of months in 6.5 by considering each year has 12 months and half year (0.5) is equivalent to 6 months
6 (number of years) x 12 months = 72 months
0.5 year = 6 months
72 months + 6 months = 78 months (Total of months in 6.5 years)
2. Divide the total of months into 4 considering every 4 months Marissa is given one paid day of vacation.
78 months ÷ 4 = 19.5 days (number of paid days of vacation for working 6.5 years)
Finally, add this result to the two paid days initially given 19.5 days + 2 days = 21.5 days
The height of a ball thrown in to the air is given by the formula
y= s(t) = 16t^2 + 50t + 2 where s(t) is in feet and t in seconds
A. Find the average velocity of the object over the interval [1,2] and include units.
B. Find a simplified expression that gives the average rate of change of s(t) on the interval [1, 1 + h]. Your answer will be an expression involving h.
Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
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