The statement "Angle 1 is congruent to angle 3" is justified by the ________. ?
Answers
Answer:
1
Step-by-step explanation:
that is a cute thing to be said that you know is the only way you could
∠1 is congruent to ∠3 because they alternate angles.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
∠1 and ∠3 are alternate angles.
∠2 and ∠4 are alternate angles.
∠1 and ∠2 are linear pairs.
∠4 and ∠3 are linear pairs.
Now,
∠1 and ∠3 are alternate angles.
Alternate angles are equal.
Thus,
∠1 and ∠3 are congruent angles.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ2
Related Questions
A tennis racket originally
cost $60 and is on sale
for 25% off.
Answers
60*0.25 = 15
now subtract that from the original price
60 - 15 = 45
so the sale price of the tennis racket after the discount is $45
A tennis racket originally
cost $60 and is on sale
for 25% off.
15
3.) Determine each percentof change. Round to the nearest whole
percent if necessary. $80 to $56
Answers
Answer:70% decrease
Step-by-step explanation:
50/86
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
4 Eli's family is going to have a big go-cart race and each go-cart takes 3-gallon of gas. If there are 7 go-carts, how many total gallons of gas do they need to fill up all the go-carts?
Answers
How do you find the angle measure?
Answers
Answer:
∠ XYZ = 41°
Step-by-step explanation:
∠ XYZ = ∠ 3x + 20 ( corresponding angles ) , thus
8x - 15 = 3x + 20 ( subtract 3x from both sides )
5x - 15 = 20 ( add 15 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Thus
∠ XYZ = 8x - 15 = 8(7) - 15 = 56 - 15 = 41°
hey i need some help :)
Answers
Answer:
[See Below]
Step-by-step explanation:
[tex]\boxed{Hey~There!}[/tex]
__________________________________________________________
[tex]\boxed{Solve~-3x<9:}[/tex]
Rearrange the equation by subtracting what is to the right of the greater than sign (≤, ≥) from both sides of the inequality:[tex]-3*x-(9)<0[/tex]
Pull out like factors:[tex]-3x - 9 = -3 * (x + 3)[/tex]
Divide both sides by [tex]-3[/tex]: Remember to flip the inequality sign:[tex]<=>[/tex]
Subtract [tex]3[/tex] from both sides:[tex]x > -3[/tex]
[tex]\boxed{The~answer~is: x > -3}[/tex]
[tex]\boxed{The~answer~is: C}[/tex]
__________________________________________________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ^-^
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
Find the measures of all angles in a triangle ABC
Answers
Answer: 3x23+b
G67282
Step-by-step explanation:
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:
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]
Find the measures of angles x, y, and z in the figure
Answers
Answer: 46 and 80l degreesx 23+b
Step-by-step explanation:
What is the cubed root of 8
Answers
The answer is 2 hope you have a good day
What is the solution to the equation 5x-2=2x+13?
Answers
Answer: 1.825
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:
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
Write the equation of a line that is perpendicular to 2x-7y=13 and which passes through the point ( -3,8).
Answers
Given parameters:
Equation of the line given 2x - 7y = 13
Coordinates of points = -3, 8
Unknown:
Equation of a line perpendicular = ?
Solution;
To find the equation of this line, simply find the negative inverse of the given line.
m = [tex]-\frac{1}{m}[/tex]
2x - 7y = 13 , this is an equation of a straight line
let us write it in the form y = mx + c so as to derive the slope
y and x are coordinates
m is the slope
c is the y intercept
2x - 7y = 13;
-7y = -2x + 13
divide through by -7;
y = [tex]\frac{2}{7}x[/tex] + [tex]\frac{13}{7}[/tex]
The slope of this line is [tex]\frac{2}{7}[/tex];
Now the slope of a line perpendicular to it will be [tex]-\frac{7}{2}[/tex];
the equation of the line will be;
y = [tex]-\frac{7}{2} x + C[/tex]
Since the coordinate of this line is (-3,8) , let us find C;
y = 8 and x = -3;
8 = [tex]-\frac{7}{2}[/tex] (-3) + C
multiply through by 2;
16 = 21 + 2C
16 - 21 = 2C
-5 = 2C
C = [tex]\frac{-5}{2}[/tex]
Now the equation of the line is;
y = [tex]-\frac{7}{2} x + \frac{5}{2}[/tex]
Answer:
j
Step-by-step explanation:
m
Which relation DOES NOT represent a
function?
A) (5, 4) , (2, −3) , (1, 6) , (4, 0)
B) (−1, 0) , (5, 2) , (−3 ,10) , (3, 8)
C) (3, 5) , (4, −1 ) , (3, −2) , (0, 0)
D) (4, 6) , (5, 6), (0, 6)
E) (2, −1) , (−4, 6) , (0, 6) , (−3, 5)
Answers
Answer:
C
Step-by-step explanation:
Hope this Helps :)
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
Express the statement "A rectangular field with an area of 120m' has it length 12mn longer than the width" as quadratic equation.
Answers
Answer:
The quadratic equation is x^2 -12x -120 = 0
where x represents the length of the field
Step-by-step explanation:
We want to make an expression in terms of a quadratic equation;
Let the length of the field be x mm , then the width will be (x-12) mm
Mathematically , the area of the field will be L * B
Thus;
x * (x-12) = 120
That gives;
x^2 -12x = 120
x^2 -12x -120 = 0
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)
PLEASE HELPP ME I WILL GIVE BRAINLY. THIS PROBLEM IS WORTH 20 POINTS. PLEASE GIVE RIGHT ANSWER.
Answers
The points on a section of an exam are given by the function f(x), where x is the number of questions answered correctly in that section. If [tex]f(12)=18[/tex], then a test-taker receives 18 points for answering _____ questions in the sections correctly.
Answers
Answer:
Step-by-step explanation:
X=5?
Answer:
The answer is 12
Step-by-step explanation:
In the beginning, it says f(x) where x is the number of questions answered correctly in that section. So whatever replaces x is your answer. In this case, it is 12.
Given that f(x)=2x+1 and g(x)=3x-1/2 find g(f(3))
1. 5
2. 7
3. 9
4. 10
Answers
Answer:
7
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
10
Step-by-step explanation:
You must substitute the 3 for the x in f(x) = 2x+1 first
f(x) = 7
Then substitute the 7 for the x in g(x) = (3x - 1)/2
g(x) = 10
10x + 3 = 8x + 3; x =
Answers
Answer:
x = 0
Step-by-step explanation:
Steve hires a compact car for 5 days and is charged a rental of $145.29. How much will he be charged, if he retains the car for two or more days?
Answers
Parallel, Perpendicular
Or Neither
X=4
X=9
Answers
x = 4 is a vertical line through 4 on the x axis
x = 9 is a vertical line through 9 on the x axis
any two vertical lines are always parallel
side note: the slope of any vertical line is undefined
dilations
Help with step by step answer
Answers
Answer:
see attached
Step-by-step explanation:
When the dilation factor is 3, each image point is 3 times as far from P as the original. I find it convenient to count the grid squares and go that distance twice again.
What is the image of the point (9, -2) after a rotation of 90º counter-clockwise about the origin?
Answers
a)
(+4) + ( - 3)
b) (-2) + (-3)
c)
(+2) + (+4)
d) (-6) + (+2)
Answers
Answer:
c ) 6
d) 1 0 this are correct answer ok
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