Answers
Answer:
x = 7
Step-by-step explanation:
Since the two sides (9x - 25) of the triangle are congruent to each other, we can add them together
(9x - 25) + (9x - 25)
18x - 50
A triangle is 180 degrees when adding all three sides
So if 2 sides together equal 18x - 50 and the last side equals 104, then they should equal 180 total
18x - 50 + 104 = 180
Combine like terms
18x + 54 = 180
Subtract both sides by 54 to isolate the variable
18x + 54 - 54 = 180 - 54
18x = 126
Divide both sides by 18 to isolate the variable
18x ÷ 18 = 126 ÷ 18
x = 7
Check your work by plugging in the x value for the expression and adding all three sides to equal 180 degrees
9(7) - 25 + 9(7) - 25 + 104 = 180
Pemdas says to multiply first
63 - 25 + 63 - 25 + 104 = 180
38 + 38 + 104 = 180
76 + 104 = 180
180 = 180
The work is correct
Related Questions
Can I have the steps and answers pls so I can understand thx
Answers
3x + 1 = 10
then subtract 1
3x = 9
divide by 3
x = 3
2. distribute the left side to get
x^2 + 2x -3 = x^2 - 2x + 13
subtract x^2 from each side
2x -3 = -2x + 13
add 2x to each side
4x -3 = 13
add 3
4x = 16
divide by 4
x = 4
3. to get rid of the square root sign, square each side to get:
2x + 5 = 10^2
2x + 5 = 100
subtract 5
2x = 95
divide by 2
x = 95/2
F = ma. If a force of 10 is applied to an object with a mass of 20, what is its acceleration?
Answers
Answer:
F=Ma
therefore
a=F/M
a=10/20
=0.5ms^-1
Somebody please help ASAP!
Answers
Answer:
Simplified: 2.4x−12
Step-by-step explanation:
(2.4)(x+−5)
=(2.4)(x)+(2.4)(−5)
=2.4x−12
4x-20
Distribute the 4
4x-4*5
Simplify
4x-20
1. If sin y = sin 35, y≠35, what is the value of y? 2. If cos y = cos z = - cos 35, y≠z≠35, what are the values of y and z? 3. If sin y = sin x and x<90, y≠x, what is the value of y in terms of x? 4. If sin y = sin z = -sin x and x<90, y≠z≠x, what are the values of y and z in terms of x? 5. If cos y = cos x and x<90, y≠x, what are the value of y and z in terms of x? 6. If cos y = cos z = - cos x and x<90, y≠z≠x, what are the values of y and z in terms of x?
Answers
Answer:
1. y = 145
2. y = 145 and z = 215
3. y = 180 - x
4. y = 180 + x and z = 360 - x
5. y = 360 - x
6. y = 180 - x and z = 180 + x
Step-by-step explanation:
1. siny = sin35
Since sin35 is positive, siny is in the second quadrant.
So siny = sin(180 - 35) = sin35
siny = sin145 = sin35
Since siny = sin145, y = 145
2. cosy = cosz = -cos35
since -cos35 is negative in the second and third quadrant,
cosy = cos(180 - 35) = -cos35 and cosz = cos(180 + 35) = -cos35
cosy = cos145 = -cos35 and cosz = cos215 = -cos35
Since cosy = cos145 and cosz = cos215,
y = 145 and z = 215
3. If siny = sinx and x < 90,
since x < 90, sinx is in the first quadrant and siny is in the second quadrant since it is positive
siny = sin(180 - x) = sinx
Since siny = sin(180 - x)
y = 180 - x
4. siny = sinz = -sinx and x< 90
since -sinx is negative and sine is negative in the third and fourth quadrant respectively, siny and sinz are in the third and fourth quadrant,
siny = sin(180 + x) = -siny and sinz = sin(360 - x) = -sinx
Since siny = sin(180 + x) and sinz = sin(360 - x)
y = 180 + x and z = 360 - x
5. cosy = cosx and x < 90
Since cosx is positive in the first and fourth quadrant, and x is in the first quadrant,
cosy = cos(360 - x) = cosx
cosy = cos(360 - x)
y = 360 - x
6. cosy = cosz = -cosx and x< 90
since -cosx is negative in the second and third quadrant,
cosy = cos(180 - x) = -cosx and cosz = cos(180 + x) = -cosx
cosy = cos(180 - x) and cosz = cos(180 + x)
y = 180 - x and z = 180 + x
HELLPPP
Solve the system by substitution.
-9x-10y=12
−3x+3=y
Answers
Solve the system by substitution.
-9x-10y=12
−3x+3=y
X=2
Y= -3
Answer:
[tex]x=2\\y=-3[/tex]
Step-by-step explanation:
We have:
[tex]-9x-10y=12\\-3x+3=y[/tex]
Since we already have a variable value ([tex]y[/tex]) in the second equation, it would be easiest to substitute the value for [tex]y[/tex] in the first equation:
[tex]-9x-10(-3x+3)=12[/tex]
Distribute [tex]-10[/tex] into [tex](-3x+3)[/tex]:
[tex]-9x+30x-30=12[/tex]
Combine like terms:
[tex]21x-30=12[/tex]
Add [tex]30[/tex] to both sides of the equation:
[tex]21x=42[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]21[/tex]:
[tex]x=2[/tex]
_
Now that we have our [tex]x[/tex] value, we can substitute that in to the second equation to find our [tex]y[/tex] value:
[tex]-3(2)+3=y[/tex]
Multiply:
[tex]-6+3=y[/tex]
Combine like terms:
[tex]-3=y[/tex]
NEED HELP ASAP. The table gives the number y (in millions) of sport utility vehicles
that were produced in the United States x years after 1998.
Approximate the best-fitting line for the data.
x
0
1
2
3
4
7.
12
17
19
22
Answers
-by-step explanation:
the answer is six your welcome
What is the equation of a line in point slope form that oases trough (-2,-6) and has a slope of 1/3
Answers
Answer:
y + 6 = [tex]\frac{1}{3}[/tex](x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = [tex]\frac{1}{3}[/tex] and (a, b) = (- 2, - 6 ) , thus
y - (- 6) = [tex]\frac{1}{3}[/tex](x - (- 2) ) , that is
y + 6 = [tex]\frac{1}{3}[/tex](x + 2)
Write a quadratic function in standard form with zeros 7 and 2
Answers
Answer:
y = x² - 9x + 14
Step-by-step explanation:
Given the zeros x = 7 and x = 2, then the corresponding factors are
(x - 7) and (x - 2)
The function is then the product of its factors, that is
y = (x - 7)(x - 2) ← expand using FOIL
= x² - 9x + 14
The quadratic function with zeros 7 and 2 in standard form is
f(x) = x² - 9x + 14
If a quadratic function has zeros of a and b, then the quadratic function can be formed as:
f(x) = (x - a)(x - b)
For a function with zeros 7 and 2:
a = 7, b = 2
Substitute a = 7 and b = 2 into the quadratic function f(x) = (x - a)(x - b)
f(x) = (x - 7)(x - 2)
Expand the expression
f(x) = x² - 2x - 7x + 14
f(x) = x² - 9x + 14
The quadratic function with zeros 7 and 2 in standard form is f(x) = x² - 9x + 14
Learn more here: https://brainly.com/question/18150978
Use slope-intercept form, y=mx+b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes
through the point(3, -5).
What is the new equation written in slope-intercept form?
Answers
Answer:
y-intercept b = -23
The new equation is y = 6x - 23
Step-by-step explanation:
The slope-intercept form is:
y = m x + b, where
m is the slopeb is the y-intercept∵ The slope is 6
→ Substitute it in the form of the equation
∴ y = 6x + b
To find b substitute x and y in the equation by the coordinates of any point on the line
∵ The line passes through point (3, -5)
∴ x = 3
∴ y = -5
→ Substitute them in the equation
∴ -5 = 6(3) + b
∴ -5 = 18 + b
→ Subtract 18 from both sides
∴ -5 - 18 = 18 - 18 + b
∴ -23 = b
∴ The y-intercept value (b) is -23
→ Substitute it in the equation
∴ y = 6x + -23
∴ y = 6x - 23
The new equation is y = 6x - 23
Answer:
y-intercept b = -23
The new equation is y = 6x - 23
Step-by-step explanation:
What is the image of the point (9, -2) after a rotation of 90º counter-clockwise about the origin?
Answers
what value of x makes the equation true 9.68x + 21.6 - 6.23x=2.3x+17
Answers
9.68x + 21.6 - 6.23x = 2.3x + 17
Combine like terms on the left side:
3.45x + 21.6 = 2.3x + 17
Subtract 2.3x from both sides:
1.15x + 21.6 = 17
Subtract 21.6 from both sides:
1.15x = -4.6
Divide both sides by 1.15:
X = -4
Answer:
its negative 4
Step-by-step explanation:
Dustin needed 0.80 meter of fabric to make a pillow. The fabric cost $1.50 per meter. How much did Dustin pay for 0.80 meter of the fabric?
Answers
Given parameters:
Length of fabric needed to make a pillow = 0.8m
Cost of fabric per meter = $1.5
Unknown:
Cost of the 0.8m fabric = ?
Solution:
The cost of the fabric = cost per meter x length of fabric
Input the parameters and solve;
Cost of the fabric = 0. 8 x 1.5 = $1.2
Dustin will have to $1.2 for the fabric
what is the gratest common factor of 36 and 18?
Answers
Answer:
the greatest common factor is 18
Step-by-step explanation:
just trust it is hard to explain
Answer:
it is 18
Step-by-step explanation:
The school band will sell pizzas to raise money for new uniforms. The supplier charges $143 plus $5 per
pizza. The band members sell the pizzas for $7 each. Enter and solve an inequality to find how many
pizzas the band members will have to sell to make a profit. Let p be the number of pizzas sold.
Pllzzzzzz hellppp i with mark you as brainliest plzzz
Answers
Answer:
7 x > 4 x + 100
7 x - 4 x > 100
3 x > 100
x > 100 : 3
x > 33.33
Answer: they have to sell 34 pizzas to make a profit.
Step-by-step explanation:
A tiger at the zoo lost 14 pounds in 7 months. The tiger lost the same amount of weight each month. Write an integer that represents the change in the tiger's weight each month
Answers
Answer:
The change is 2 pounds per month.
Step-by-step explanation:
Solve for all values of x by factoring.
x^2 – 3x – 1= -3x + 3
Answers
Answer:
x^2-3x-1+3x-3=0
x^2-4=0
x^2=4
X=2,,X=-2
Answer:
x = ± 2
Step-by-step explanation:
Given
x² - 3x - 1 = - 3x + 3 ( subtract - 3x + 3 from both sides )
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Solution is x = - 2, x = 2
-8+4u=-28
Simplify your answer as much as possible
Answers
Step-by-step explanation:
-8+4u=28
-
Transposing -8 to Rhs.
4u=-28+8
4u=-20
Dividing both sides by 4
4u÷4=-20÷4
u=-5.
THANK YOU
Please i need help! first answer i will mark brainliest!
Answers
Answer:
Mark the -5 and place an arrow pointing to the left.
Step-by-step explanation:
The sign used in the question mean less than or equal to. So n must be -5 or less.
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that is mowed (x)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on a car. The equation that represents this relationship is 25x+15y=750.
Use the equation to identify the x-intercept.
Explain what the x-intercept means in the context of the problem. (write a sentence & use units)
Use the equation to identify the y-intercept.
Explain what y-intercept means in the context of the problem. (write a sentence & use units)
Use the equation to identify one other possible solution.
Explain what that solution means in the context of the problem. (write a sentence & use units)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
The student gets paid $25 for each lawn that is mowed (x)
$15 for each pool that is cleaned (y). The student wants to earn $750.
The equation that represents this relationship is 25x+15y=750.
The x - intercept :
Value of x, when y =. 0
25x + 15(0) = 750
25x + 0 = 750
x = 750 / 25
x = 30
To earn 750, if no pools are cleaned, number of lawns to be mowed = 30
(30, 0)
Y - intercept :
Value of y when x = 0
25(0) + 15y = 750
0 + 15y = 750
y = 750 / 15
y = 50
To earn 750, if no lawns are mowed, number of pools to be cleaned = 50
(0, 50)
PLEASEEEEE HELPPPP
75% OFF
original price!
The original price of a cheeseburger is $4. What is the sale price?
$
Answers
Answer:
$1
Step-by-step explanation:
75% of 4 is three
you minus 3 to 4
you get 1
Write an equivalent
expression for 5(2x + 3).
Answers
Answer:2(5x + 7.5)
Step-by-step explanation:It correct
Pls mark brainlest
Can some one please explain question 4 to me??
Answers
Answer:
A. Angle bisectors are a line that goes through an angle dividing it into 2 equal angles that are consecutive.
B. The 2 angles BAC and CAD when added together is the same as angle BAD.
Step-by-step explanation:
Explain your reasoning. for the answer to 2.5 x 4
Answers
Answer:
10
Step-by-step explanation:
2.5 plus 2.5 is 5 and 5 times 2 is 10, so 2.5 times 4 is 10.
The value of the given expression is 10.
We are given that;
The expression= 2.5 x 4
Now,
To multiply 2.5 by 4, we can use the distributive property of multiplication.
This means that we can split 2.5 into 2 and 0.5, and then multiply each part by 4 separately.
2.5 x 4 = (2 + 0.5) x 4
= (2 x 4) + (0.5 x 4)
= 8 + 2
= 10
So, 2.5 x 4 = 10.
Therefore, by algebra the answer will be 10.
More about the algebra link is given below.
brainly.com/question/953809
#SPJ6
The formula for the length of the hypotenuse in a right triangle is where and bare the lengths of the triangle's sides this form is derived from the Pythagorean theorem) From the side, a certain ramp has a right-triangular shape. Its height is 30 centimeters and its horizontal length is 3 meters. What calculation will give us the estimated length of the ramp in meters? on Khan academyI know the answer is because I I want people to know the answer on Khan academy but you can add more answers
[tex] {30}^{2} \div {100}^{2} + {3}^{2} [/tex]
Answers
Answer:
3mStep-by-step explanation:
The length of the ramp will be the longest side of the right-triangular shape (the hypotenuse). The height and the horizontal length will be the other two sides (adjacent and opposite).
Acording to the theorem;
hyp² = opp²+adj²
Given
opp = 30cm = 0.3m (convert to metres)
adj = 3 m
Substitute
hyp² = 0.3²+3²
hyp² = 0.09+9
hyp² = 9.09
hyp = √9.09
hyp = 3.0145 m
Hence the estimated length of the ramp in meters is 3m
7x-40 = 5x-8. Solve for X
Answers
Answer:
x = 16
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
Combine like terms: 7x - 5x = 40 - 8Simplify: 2x = 32Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 16I hope this helps!
Find the value of x.
The answer is 50 . I need to show equations and show my work
Answers
Answer:50
Step-by-step explanation:
80+2x=180
subtract 80 from both sides: 2x=100
divide both sides by 2: x=50
If angle 5 = 120°, what is angle 2?
Answers
Answer: 2=48
Step-by-step explanation:
5 divided by 120 is 24 2 divided by what is 24 = 48
A squirrel climbs up a tree. She starts at 0.5 feet up the tree, then climbs at a steady pace for 7.5 seconds. She ends 4 feet up the tree. How many feet did she climb per second? A. 7.5 + 1 2 x = 4 B. 1 2 + 4 x = 7.5 C. 4 + 1 2 x = 7.5 D. 7.5 x + 1 2 = 4
Answers
Given :
A squirrel climbs up a tree. She starts at 0.5 feet up the tree, then climbs at a steady pace for 7.5 seconds.
She ends 4 feet up the tree.
Solution :
Now, distance covered is :
d = 4 - 0.5 = 3.5 feet.
Time taken, t = 7.5 seconds.
Distance climbed per second is :
[tex]D =\dfrac{d}{t}\\\\D=\dfrac{3.5}{7.5}\\\\D = 0.467\ feet/s[/tex]
Therefore, distance climber per second is 0.467 feet.
Hence, this is the required solution.
10x + 3 = 8x + 3; x =
Answers
Answer:
x = 0
Step-by-step explanation:
A cell phone company charges $4 per GB beyond 20 GB. The monthly plan is $59.99, and the bill for January is $75.99. How many GB were used in that month?
Answers
Answer:
24 GB
Step-by-step explanation:
Subtract the amount of money that was from the monthly plan:
75.99 - 59.99
= 16
Divide this by 4 to see how many extra GB were used:
16/4
= 4
This means that 4 GB were used beyond 20 GB.
This means 24 GB were used in total
Answer:
24 GB
Step-by-step explanation: