Answer:
144 degrees.
Step-by-step explanation:
Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.
After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.
First, before we get to the angle of 4, we have to find the value of x:
1) angle 1 + angle 2 = 180
3x + 12x = 180
2) solve the above equation for x
15x = 180
3) divide both sides by 15 for x
x= 12 degrees
We know that angle 4 is the same as angle 2, which is 12x degrees.
So, now that we know what x is, 12 x 12 degrees = 144 degrees.
Hope this helped : )
The measure of angle ∠4 is 144°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The measure of angle 1 = ( 3x )°
The measure of angle 2 = ( 12x )°
Angle 1 and Angle 2 are on the straight lines
So , the sum of the measures of angles = 180°
On simplifying the equation , we get
3x + 12x = 180
15x = 180
Divide by 15 on both sides of the equation , we get
x = 12
Substituting the value of x in the equation , we get
The measure of angle 2 = measure of angle 4 ( corresponding angles )
So , the measure of angle 4 = ( 12x )°
And , the measure of angle ∠4 = 144°
Hence , the angle ∠4 = 144°
To learn more about parallel lines cut by transversal click :
https://brainly.com/question/28182928
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im too lazy to answer my sister questions (its easy but I got something else to do) do all multiplication all way to 12
Answer:
All of the multiplications are in the image attached
Step-by-step explanation:
please mark me brainliest :)
Please mark me brainliest and I hope this helps ( I spent a lot of time on this...)!
I wrote this all out on a google doc so no, I did not copy it from the internet:
Choose all sets that contain the number 5.
All except irrational numbers
Step-by-step explanation:
3x-2≤5(x+2) . show all steps please.
Answer:
-6 ≤x
Step-by-step explanation:
3x-2≤5(x+2)
Distribute
3x-2≤5x+10
Subtract 3x
3x-2-3x≤5x +10-3x
-2 ≤2x+10
Subtract 10 from each side
-2-10 ≤2x+10-10
-12 ≤2x
Divide by 2
-12/2≤2x/2
-6 ≤x
Answer:
Step-by-step explanation:
You have to first use the distributive property of 5(x+2)
That would be 5x+10.
So it would be all together
[tex]3x-2\leq 5x+2[/tex]
to see if it is true
x=2
6-2
[tex]6-2\leq 10+2\\4\leq 12[/tex]
it is true
Pls Help!!!
Just an example of how to do it pls!
10m + n^2/4
m = 5
n = 4
We can now substitute numbers in for the variables.
10(5) + (4)^2/4
50 + 4^2/4
50 + (4 * 4)/4
50 + 16/4
50 + 4
= 54
Answer:
Its 54 guys explanation in COMMENTS
Heres rule for 2nd term
x^n/x^(n-1) = x
Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFraction for x?
because 18 times 100 is equal to 5 times x, which means that x is equal to 36
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
because 18 times x is equal to 5 times 100, which means that x is equal to 36
because 18 times x is equal to 5 times 100, which means that x is equal to 360
Answer:
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Step-by-step explanation:
18/5=x/100
Cross product
18*100=5*x
1800=5x
x=1800/5
x=360
because 18 times 100 is equal to 5 times x, which means that x is equal to 360
Answer:
b
Step-by-step explanation:
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)
Answer:
C. (9, 13)
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
(-7, 5)
5 = (1/2)*(-7) + b
5 = - 7/2 + b
b = 5+ 7/2 = 10/2 + 7/2 = 17/2
y = (1/2)x + 17/2
C. (9, 13)
13 = (1/2)*9 + 17/2
13 = 26/2
13=13 True
Answer:
It is C (9,13)
Step-by-step explanation:
took the test on edge
PLEASE HELP, BEEN STUCK FOR AN HOUR!!
Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.
Function g is represented by the table.
x 0 1 2 3 4
g(x) 75 43 27 19 15
Which statement correctly compares the two functions on the interval [0, 4]?
A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.
Answer: C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Step-by-step explanation:
Let first work out g(x)
When x = 0
g(x) = 75
When x = 1
g(x) = 75( 1 - 50%)
g(x) = 75(0.5) = 37.5
Which is less than 43
With this, we can conclude that:
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Answer:
Step-by-step explanation:
The awnser is c because the person above me was right
Find the slope of the line. please. help.
Answer: the slope is up 1 and to the right 2, or if your going the opposite direction it would be down 1 and to the left 2
Answer:
1/2
Step-by-step explanation:
Slope is change in y over change in x. The change in Y is 2.5 - 1= 1.5 .The change in X is 1 - (-2)= 3 . Therefore, the slope is 1.5/3 which simplifies to 1/2
Please help me! I'm terrible at math
Answer:
(3.) x = 45
Step-by-step explanation:
Because the lines are parallel and cut by the same line, the angles within are equal as well.
Which means that...
Angle GE = Angle EFD
Therefore (2x-30) = (x + 15)
2x - 30 = x + 15
+30 +30 (add 30 to both sides to get rid of the -30)
2x = x + 45
-x -x (subtract x from both sides to get rid of the single positive x)
x = 45
Mr.Brown is planting trees in a field that is one mile long and 2 miles wide. How much is his field.
Answer:
Step-by-step explanation:
Wtwtettete
Answer:
2 miles squared.
Step-by-step explanation:
A= length times width
A= 1 mile times 2 miles
A= 2 miles squared
Need some help with congruence and similarity
(Picture bellow)
Answer:
a and b are similarity i think that's what your looking 4 idk
Step-by-step explanation:
pls help me this is dur in 10 minutes.
Answer:
answer for the question is 1.point R means that the unit rate is $14.00 per pound
Which of the following is most likely the next step in the series Z3Y6X9W 12
Answer:
V
Step-by-step explanation:
This series is a letter, followed by a number where the letter is the previous letter in the alphabet and the number is increasing by 3
Answer:
12 V 15 U 18 T 21 S 24 R 27 Q
Step-by-step explanation:
Letters going backwards, numbers increasing by 3
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
Answer:
36
Step-by-step explanation:
m^2 -2mn + n^2
Let m = -2 and n=4
(-2)^2 -2(-2)(4) + 4^2
4 +16 +16
36
Answer:
Step-by-step explanation:
m = -2 ; n =4
m² - 2mn + n² = (-2)² - 2*(-2)*4 + 4²
= 4 + 16 + 16
= 36
Hint: (-2)² = -2 * -2 = 4
someone please help me !!
Answer:
3<x<52
Step-by-step explanation:
0<2x-6<52
6<2x<52
3<x<52
Answer:
3 x 9
Step-by-step explanation:
3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84
Can someone please help me! Explain the Error. Find the correct solution.
4w (w - 3)+(-5)(w – 3) = (w - 3)(4w +5)
Answer:
w=3
Step-by-step explanation:
[tex]4w(w-3)+(-5)(w-3)=(w-3)(4w+5)\\4w^{2} -12w-5w+15=4wx^{2} +5w-12w-15\\4wx^{2} -17w+15=4wx^{2} -7w-15\\4wx^2-10w+15=4wx^{2} -15\\4wx^{2} -10w=4wx^{2} -30\\-10w=-30\\w=3[/tex]
A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?
f is a one-to-one function, and (4,7) is on the graph of f. Write the coordinates of a
known point or the graph of f-1
Format
Answer:
(7, 4)
Step-by-step explanation:
One-to-one function means that for every value of y in the range there is associated only one value in x in the domain.
If the point (x, y) belongs to f(x), then point (y, x) belongs to f^-1(x) (its inverse). In this case, (4,7) is on the graph of f(x), therefore (7, 4) is on the graph of f^-1(x)
The exponent in “8n5” is:
Answer:
The exponent in "8n^5" is 5. We already know that the base is 8 and the variable is n, so that leaves the exponent to be 5. Hope this helps! Good luck on your assignment! (Brainliest would be appreciated if possible)
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
How would you prove that the triangle below is equilateral?
A. Shows all angles to be congruent
B. Show all sides to be congruent
C. Show at least two sides to be congruent
D. Show two sides are of equal measure
Please help me with this I need help
Answer:
B. Show all sides to be congruent
Answer:
B. show all sides are congruent
Step-by-step explanation:
Explain what the mean absolute deviation is in general. Explain what the MAD means in the context of Robin and Evelyn’s data.
Answer: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Step-by-step explanation: Add 8+1+5+0+12 and divide it by 5 and get 5.2
Answer:
Mean absolute deviation is the average distance between the mean of o set of numbers. The MADs for Robin and Evelyn's data show that Evelyn's scores or slightly more varied than Robin's.
Step-by-step explanation:
please help asap C: :D
Answer:
$997
Step-by-step explanation:
Base Salary: $150 (given)
Additional information on everything he sells: 14%
He sells $6050.00 last week, so then his commision would be 14% of the $6050.
x = 150 + ( 0.14 x 6050 )
OR
14/100 x 6050
would equal: $847
Total pay for last week would equal base salary and the additional pay.
$150 + $847
= $997
His total pay for last week would equal $997.
Hope helps! - Stargaze
I got a photo of the problem dude I need help I'm in an exam and I am cluelessssss
Answer:
0.84
Step-by-step explanation:
1 - 0.4(0.4) = 1 - 0.16 = 0.84
Simply take the probability of the the outcome that is not " at least 1 win", which is the probability of 2 losses;
To find the probability multiply the probabilities along the branches.
Answer:
The answer might be 0.84. I hope this helps please tell me if its right or wrong.
Step-by-step explanation:
Which equation describes the circle with center (5, -1) and
radius 4?
Answer:
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Step-by-step explanation:
The equation is: [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
[tex](x-5)^2+(y+1)^2=4^2[/tex]
Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3
Answer:
B
Step-by-step explanation:
what’s the best answer ???
Answer:
Option A
Step-by-step explanation:
Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-4,3) and (3,1).
[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]
Option A should be the correct answer.
pls answer will reward with brinliest!!
Answer:
She will raise 6 dollars a week and the total donation will be 600 dollars.
Step-by-step explanation:
Answer: 1. she will raise $6 per week. 2) $600
Step-by-step explanation:
30/5 = 6 she will raised $6 per week.
so her total donation will be $200 because she is raising $30 more.
Now if her father matches the her total then she will now have $400 because her father doubles it.
Now her mother will also add the same amount which will make it $600
because $400 + $200 = $600.
A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?
Answer:
The amount of water is [tex]30,240in^3[/tex]Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.
Given data
depth of bathtub= 24 in
width of bathtub= 24 in
length of bathtub= 60 in
the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.
the depth of water is 3 in below the the top
hence the depth of water (24 in- 3 in)= 21 in
the expression for the volume of water is given as
[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]
What is the vertex? *
y = (x - 1)² – 2
O (-2,-1)
O (-2,1)
O (1-2)
O (-1,-2)
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.
therefore answer is (1,-2)
