The image above shows two congruent triangles. What is the measure of angle y?
Answers
Answer:
20 degree
Step-by-step explanation:
angle sum of triangle
180-112-48
There are two ways , so the first part reference to method 1 and and second part reference to method 2.
[tex] \\ [/tex]
PART 1 :-[tex] \\ \\ [/tex]
[tex] \tt In~\triangle ABC: [/tex]
[tex] \\ [/tex]
[tex] \tt \angle A + \angle B + \angle C = 180 {}^{ \circ} [/tex]
{sum of triangle}
[tex] \\ \\ [/tex]
here we can find value of angle C.
[tex] \\ [/tex]
[tex] \dashrightarrow \sf\angle A + \angle B + \angle C = 180 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf112 + 48 + \angle C = 180 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf160 + \angle C = 180 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf\angle C = 180 {}^{ \circ} - 160 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf\angle C =20^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
angle c is congruent to angle f
.°. y = 20°
[tex] \\ \\ [/tex]
PART 2:-[tex] \\ \\ [/tex]
angle a = angle d
.°. value of x = 112°
[tex] \\ \\ [/tex]
[tex] \tt \angle E + \angle D + \angle F = 180 {}^{ \circ} [/tex]
[tex] \\ \\ [/tex]
ve can find value of y :-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf x + 48 + y= 180 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf112 + 48 +y = 180 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf160+y= 180 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf y= 180 {}^{ \circ} - 160 {}^{ \circ} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \bf y=20^{ \circ} \\ [/tex]
Related Questions
Estimate: 25.1 divided by 8
Answers
Answer:
3
Step-by-step explanation:
round both up to nearest 10
25.1 = 30
8 = 10
30 / 10 = 3
confirmation;
25.1 / 8 = 3.1375 i think it checks out
I need help problems pls man
Answers
Answer:
o=80
Step-by-step explanation:
Determine whether the statement is true or false . 1-41 = -4*
True
False
Answers
Answer:
False
Step-by-step explanation:
Given the following question:
[tex]1-41[/tex]
To find the answer we simply just have to subtract 41 from 1.
[tex]1-41[/tex]
[tex]1-41=-40[/tex]
[tex]=-40[/tex]
Your answer is the second option or "false."
Hope this helps.
if x = 5 and y = 3, then xy - 2x =
Answers
Answer:
5
Step-by-step explanation:
First, we will need to replace the x and ys with the values.
So the equation will be this:
(5) x (3) - 2(5)
Now, following PEMDAS, we will do the M in PEMDAS (aka multiplication left to right)
Now our simplified expression is this:
15 - 10
Now, following PEMDAS, we will do the S in PEMDAS (aka subtraction left to right)
Therefore, the answer is: 5
Where does -1/5 go on the number line
Answers
Answer:
-0.2
Step-by-step explanation:
-1/5 = -0.2
Depending on your scale, it would go at -0.2
Marta ha comprado 5 paquetes de 12 lápices cada uno y le han costado24 €. Cual es el precio de cada lapiz?
Answers
Respuesta:
5 paquetes x 12 lapices= 24€
60 lapices=24€
1 lapiz= 0.4€
¿Cuál es el precio de cada lápiz?
El precio de cada lápiz es 0.4€
Si quiere tener 100 lápices, ¿Cuánto le costará?
0.4 X 100=40€
Le costará 40€
Eddie and Janice are buying school supplies. Eddie buys 5 notebooks and 6 binders for a total of $25.45. Janice buys 4 notebooks and 8 binders for $30.60. What is the cost of each item?
Answers
Answer:
Notebook $1.25
Binder $3.20
Step-by-step explanation:
5n + 6b = 25.45
4n + 8b = 30.6
Multiply the first equation by -4.
Multiply the second equation by 5.
Add the equations.
-20n - 24b = -101.8
20n + 40b = 153
16b = 51.2
b = 3.2
5n + 6(3.2) = 25.45
5n + 19.2 = 25.45
5n = 6.25
n = 1.25
Answer:
Notebook $1.25
Binder $3.20
A container of rain water is evaporating 1.2 centimeters a week. After 8 weeks what will be the change in rain water levels
Answers
Answer:
8.667
Step-by-step explanation:
After 8 weeks, the change in rainwater levels will be 9.6 centimeters.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A container of rainwater is evaporating 1.2 centimeters a week.
After 8 weeks, the change in rainwater levels will be given as,
⇒ 1.2 x 8
⇒ 9.6 centimeters
After 8 weeks, the change in rainwater levels will be 9.6 centimeters.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answers
Answer:
1 number angle represent an angle vertical to <UXR
Please Help Me, This Is So Difficult.
A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800 for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers.
Define the variables for this situation.
Write a system of linear inequalities to represent the constraints.
Graph the system of linear inequalities and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages. Be sure to label your axes with correct increments.
Write an objective function that maximizes the revenue for the tourism agency.
Find the maximum revenue for the given constraints and give the combination of flights that achieves this maximum.
The maximum revenue would be _______________ and would be achieved using _____ nonstop flights and _____ two-stop flights.
Answers
The maximum revenue would be $9600 and would be achieved using 0 nonstop flights and 12 two-stop flights.
How to define the variablesLet x = number of non-stop airplanes
Let y = number of two-stop airplanes
The system of linear inequalitiesUsing the variables in (a), we have the following constraints
Total passenger constraint: 150x + 100y <= 1500
Total Airplanes constraint: x + y <= 12
Graph the feasible region.In (b), we have the following system of linear inequalities
150x + 100y <= 1200
x + y <= 12
See attachment for the graph
The objective functionThe objective function of the constraints is:
Max z = 1100x + 800y
The maximum revenueFrom the graph of the function, the optimal solution is:
(x,y) = (0,12)
So, the maximum revenue is:
z = 1100x + 800y
z = 1100*0 + 800*12
z = 9600
Hence, the maximum revenue is $9600
Read more about objective functions at:
https://brainly.com/question/16826001
Choose the correct equation and answer to solve for x shown below
Answers
Answer:
it would be 3^2+4^2=x^2 and x=5
Step-by-step explanation:
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5
Juan is walking a hill at 130 3/4 feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell?
Answers
Explain how to solve the inequality x-6 is greater than 3
Answers
Answer:
x > 9
Step-by-step explanation:
x - 6 > 3
all you have to do is solve for x so
add 6 to both sides to make x alone
x > 9
A tree in Austin's backyard is 5.22 meters tall. If the tree grows 0.6 meters each month, for how many months has the tree been growing?
Answers
Answer:
6.525 or 6.53
Step-by-step explanation:
Arithmetic and geometric sequences plato/edumentuM
Answers
Answer:
A.
Step-by-step explanation:
Common difference is -40.
plz help im really bad at math
Answers
Answer: it is b i looked back at my notes and did the math
Step-by-step explanation
Jordan types at a constant rate of 40 words per minute. The number of words typed, y, is a function of the number of minutes spent typing, x
Part A
Which equation models this situation?
(PLEASE HELP!)
Answers
Answer: A
Step-by-step explanation:
[tex]\mathrm{In \ 1 \min}. $\rightarrow40$ words \\$\Rightarrow$ Let number of words typed $=y$\\\& number of time spent typing $=x$\\$\Rightarrow$ (A) $40 x=y$\\\\ \mbox{$\therefore y=40 x$}[/tex]
what are the coordinates of the image of point B after the triangle is rotated 270 On the Origin
Answers
Answer:
(4,2) hopefuly right hope that helps u out
Step-by-step explanation:
Help!! Thank you so much beforehand
Answers
It's a x 4 growth
can someone help me please?
Answers
Answer:
9,10
Step-by-step explanation:
86 square root is 9.2
9 is less than 9.2
10 is bigger than 9.2
Which of the following is a step in multiplying 3/4 by 3/5? 2 А Adding 3 and 3 B. Finding the lowest common denominator of 4 and 5 C Multiplying 3 and 3 D Multiplying 3 and 5
Answers
=================================================
Explanation:
When you multiply fractions, you multiply the numerators together. So in this case we multiply 3 and 3 getting 9 as the updated numerator.
We also multiply the denominators together. The updated denominator is 4*5 = 20.
Overall, (3/4)*(3/5) = (3*3)/(4*5) = 9/20
The fraction 9/20 cannot be reduced because 9 and 20 do not have any common factors other than 1.
We don't have to worry about getting the LCD (lowest common denominator) since that is only applicable for adding and subtracting fractions.
3 in.
Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for at.
The volume of the sphere is about
in?
Answers
Answer:
Step-by-step explanation:
Remark
That word about is a killer. It's a good thing they tell you they want the answer rounded to the nearest tenth, otherwise you'd be stuck.
Givens
pi = 3.14
r = 3
Formula
V = (4/3) pi r^3
V = (4/3) * 3.14 * 3^3
V = (4/3) * 3.14 * 27
V = (4/3) * 84.78
Answer: V = 113.0 in^3
Is my answer correct or wrong?
Answers
Please help with this. Will give brainiest
Answers
Answer: Throughout the squares, you see mostly triangles.
Step-by-step explanation:
As you can see, theare are triangles within the squares on the above image. If you know that a^2+b^=c^2, you can apply this. Hope this helps.
True or False: The following relation is a function. Х Y 0 -3 -2 1 5 3 -2 Select one: O True O False
Answers
Answer:
No, because the Y's are repeating.
Step-by-step explanation:
(X, Y)
(-3, 0)
(-2, 3)
(1, -2)
(5, 3)
Simplify -7(2x - 3) + 8x.
Answers
Answer:
29 - 14x
Step-by-step explanation:
-7(2x - 3) + 8x
(-7 * 2x) + (-7 * -3) + 8
-14x + 21 + 8
-14x + 29
29 - 14x
Answer:
-22x+21
Step-by-step explanation:
Find the equation of the linear function. Represented by the table below and slope intercept form.
i need help.
Answers
Answer:
the slope-intercept is minus 4
Step-by-step explanation:
y = mx + b
y = -4x+ -5
im pretty sure this is right bc im in highschool rn and i just did this last year so if i forgot than -_-
help me, please I'm stuck as heck
Answers
Answer:
8 ^7 or 2097152
Step-by-step explanation:
In a right triangle, the length of one leg is 7 ft. The length of the other leg is 10 ft. What is the length of the hypotenuse?
A. 149.ft squared
B. 51 ft squared
C. 17 ft
D. 289 ft squared
Answers
Answer:
the square of the hypotenuse is 149 squared
Step-by-step explanation:
c= the square root of a^2+b^2=the square root of 7^2+10^2=12.20656
5-7y= 131 i am trying to solve for "y"
Answers
Step-by-step explanation:
[tex]5 - 7y = 131 \\ - 7y = 131 - 5 \\ - 7y = 126 \\ \\ y = - \frac{126}{7} \\ \\ y = - 18[/tex]