Answers
Answer:
The answer is x = 13 and y = 5.
Step-by-step explanation:
From the diagram, we know that there are two congruent legs of the triangle on the left (indicated by the lines). This means that two angles in this triangle measure 5x degrees. Because the third angle of the triangle is supplementary to the 130 degree angle, we know it must measure (180-130) or 50 degrees. We can apply this supplementary argument to the triangle on the right as well. Looking at both triangles, we can create the following equations using the idea that the interior angles of a triangle must add to 180 degrees total. This gives us the following equations:
5x + 5x + 50 = 180
10y + 5 + 6x - 3 + 50 = 180
Let's begin by solving the first equation, since it only contains one variable.
5x + 5x + 50 = 180
We can start by combining like terms on the left side of the equation.
10x + 50 = 180
Then, we can subtract 50 from both sides of the equation.
10x = 130
Next, we can divide both sides by 10.
x = 13
Now that we know the value for x, we can take our second equation (that came from the triangle on the right side) and solve for y.
10y + 5 + 6x - 3 + 50 = 180
Let's begin by simplifying the equation a little bit.
10y + 6x + 52 = 180
We can subtract 52 from both sides of the equation.
10y + 6x = 128
Now we can plug in the value for x we found above, x = 13, and simplify.
10y + 6(13) = 128
10y + 78 = 128
We should then subtract 78 from both sides of the equation.
10y = 50
Finally, we can divide both sides of the equation by 10.
y = 5
Therefore, the answer to the problem is x = 13 and y = 5.
Hope this helps!
Related Questions
Determine the value of each variable below. Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
1) tan = opposite / adjacent
tan * adjacent = opposite
adjacent = opposite/tan
adjiacent = 60/1,600335 = 37.5
2) the two leg are congruent so the two angles are congruent
the sum of the inner angles of a triangle is 180 degrees
so
a = 45 degrees
b = 45 degrees
3) cos = adjacent/hypotenuse
adjacent = cos * hypotenuse
adjacent = 0,920505 * 45
adjacent = 41.4
A school bus can hold a maximum of 45 students. The correct inequality for this word problem is b ≤ 45. Why did I use ≤ not < in this problem?
Answers
Answer:
This sign ≤ means greater than or equal to
but, this sign < means the number which is in the side is only greater
That why the sign ≤ is used
My this answer might be wrong , because in b ≤ 45 , I am confused from where the letter " b " came from .
Simply as much as possible.
4.4b-2.6b
Answers
Answer:
1.4b
Step-by-step explanation:
4b-2.6b
4.0-2.6=1.4
4b-2.6b=1.4b
Answer:
1.8b
Step-by-step explanation:
4.4b - 2.6b
subtract we get
1.8 b
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
Answers
Answer:
x=2/3
Step-by-step explanation:
Most of that information is unnecessary. Just plug in the values of f(x) and g(x) into the equation where they are equal to each other and solve.
-3x+4=2
-3x=-2
3x=2
x=2/3
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 37.5%
An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent.
What is the probability that both of the marbles drawn are blue?
a.
24%
c.
14%
b.
39%
d.
0
Answers
Help me I will give you brain list if you answer this first
Answers
PLEASE HELP ME ITS DUE TODAY THANKS :)
Answers
Answer:
39
Step-by-step explanation:
Are of rectangle -Area of triangle
= 45 - 6
=39
Answer:[tex]\color{yellow}{}[/tex] 39 Feet squared
Area of rectangle - Area of triangle
»» 45 - 6
A=39fs
Neep help on finding what is the right answer.
Answers
Answer:for the first page b for the second pace a
Step-by-step explanation:
Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA
Answers
Step-by-step explanation:
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.
Answers
Answer:
16
Step-by-step explanation:
4 option: Pork, chicken, beef, or veggie burritos.
and for each of the 4 options: rice, beans, hot or mild salsa.
4x4=16
Example:
Pork with rice
Pork with beans
pork with hot salsa
pork with mild salsa
etc.
Pork: 4 possibility
Chicken: 4 possibility
Beef: 4 possibility
Veggie burritos: 4 possibility
4+4+4+4=16
Hope this answer help you.
A meat pie contains chicken and turkey in the ratio 4: 1. The pie contains 200g of chicken.
How much turkey is in the pie?
Answers
How much turkey is in the pie?
The mass of the turkey in the pie is 1/4 of the weight of the chicken
200/4 = 50 grams
Which of the follwing are true statements about a 30-60-90 triangle?
Answers
Answer:
A and E
Step-by-step explanation:
The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3
Answer:
A. and E.
Step-by-step explanation:
The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.
In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?
Answers
Answer:
100%, 50%, and 30%
Step-by-step explanation:
Thanks for your time.
(>.<) <3 Kris
Answer:
k(jjjjjjjjhuyt67 in bbkl
What is the value of b - c if a = 18, b= 27, and c= 11?
O 16
O 11
0 9
0 29
Answers
Answer: 16
Step-by-step explanation: 27-11=16
Answer:
16
Step-by-step explanation:
b-c
=27-11
=16
I hope this is helpful :)
Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values
Answers
Answer:
Step-by-step explanation:
Average rate of change of a function between interval x = a and x = b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Average rate of change of the function in the interval [-4, -2]
= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]
= [tex]\frac{0-(-12)}{-2+4}[/tex]
= 6
Average rate of change in the interval [-2, 1]
= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]
= [tex]\frac{3-0}{1-(-2)}[/tex]
= 1
Average rate of change in the interval [-3, 1]
= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]
= [tex]\frac{3-(-5)}{1+3}[/tex]
= 2
Average rate of change in the interval [-4, 0]
= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]
= [tex]\frac{4-(-12)}{0-(-4)}[/tex]
= 4
How is 6.8 million written in scientific notation? 6.8 * 10 7 or 6.8 * 10 6
Answers
Answer:
6.8 x 10*6
Step-by-step explanation:
Answer:
hey im sorry for using this, but there's nothing else. which one was right???/ im stuck
Step-by-step explanation:
which expression is equivalent to 5^10 x 5^5
Answers
Answer:
[tex] {5}^{10 + 5} = {5}^{15} [/tex]
Answer:
5^15
Step-by-step explanation:
when multiplying expressions with the same base you keep the base (the base is 5 ) and add the exponents (10 and 5) then you would get your awnser
3x-6y=24 y=Mx+b form
Answers
Answer:
Hi, there your answer is[tex]y=\frac{1}{2} x-4[/tex]
Step-by-step explanation:
Let's solve for y.
3x−6y=24
Step 1: Add -3x to both sides.
3x−6y+−3x=24+−3x
−6y=−3x+24
Step 2: Divide both sides by -6.
−6y /−6 = −3x+24 /−6
y=1/2x-4
Hope this helps :)
Use a number line to help you find the sum of -24+8
Answers
Answer:
-16
Step-by-step explanation:
When adding a negative and a positive number, you need to keep in mind that your are essentially adding.
so if I have a number line
-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,
you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.
help me with this question pls!
Answers
Answer:
8
Step-by-step explanation:
Eight Equeal Tri's
Which of these does NOT describe an equivalent ratio or rate? A) 10:35 and 8:28 B) 4:10 and 10:25 C) 40km/h and 0.06 km/min D) 1.5L for $2.30 and 7.5 L for $11.50
Answers
Answer:
C
Step-by-step explanation:
convert option a to the lowest term
10 : 35 = 2: 7 (divide both ratios by 5)
8 : 28 = 2 : 7 (divide both ratios by 7)
convert option b to the lowest term
4 : 10 = 2 : 5 (divide both ratios by 2)
10 : 25 = 2 : 5 (divide both ratios by 5)
option c
divide 40km/h by 60 to convert to km / min
40/60 = 0.7 not equivalent
option d
determine cost of 1 litre
2.3/1.5 = 1.53
determine cost of 7.5 litres
1.53 x 7.5 = 11.5
What is the radius, in centimeters, of a circle that has a circumference of 161 centimeters?
A. 8. B. 16. C. 32. D. 64
Answers
Answer:
25.63694268 = r
Step-by-step explanation:
The circumference is
C = 2*pi*r
161 = 2*(3.14) *r
161 = 6.28 r
Divide each side by 6.28
161/6.28 = r
25.63694268 = r
when turned about it’s axis of rotation, which shape could have created this three-dimensional object
Answers
Answer:
c
Step-by-step explanation:
Answer: A would be the answer
Step-by-step explanation:
Cheryl is taking an online test that gives her instant results. After answering 16 questions, the test revealed that 10 were answered correctly. She
then answered I consecutive questions correctly and achieved her goal of 80% accuracy. Write an equation that can be used to determine
how many questions she answered correctly to reach her goal.
Help ;-;
Answers
What is the value of this expression when a= - 3 and b=-2?
(3a^-2b^6/2a^-1b^5)^2
Answers
Answer:
so lets just rewrite it with A=-3 amd B=-2
(-9^4^-9^2^5)^2
which is equal to... 1!
Hope This Helps!!!
Answer:
1
Step-by-step explanation:
took the test
The graph below is the graph of a function true or false
Answers
Answer:
you did not add a picture so i cannot help you i am very deeply sorry so sorry i apologize baahhahahahahahahahahahahahah
Step-by-step explanation:
What'e More
A. Independent Activity 1
Determine the following numerical values for each alasses using table 5 below
Answers
Class mark : 37-41
Independant variable is the classes
Please help it's urgent!Pls
Answers
Answer:
c may bbethe most accurate one l m 55% sure
Answer:
Its c fs :)
Step-by-step explanation:
Its c because x should be the exponent gl and hope this helps :)
Helppppp pleaseeeeee!!!!!’
Answers
Answer:
4, 12, 36, 108
Step-by-step explanation:
a1: 4(3)^1-1 = 4(3)^0 = 4
a2: 4(3)^2-1 = 4(3)^1 = 12
a3: 4(3)^3-1 = 4(3)^2 = 36
a4: 4(3)^4-1 = 4(3)^3 = 108
What is the first step in solving the equation 2/3x+1/3x+2=5 ? Subtract 1/3 from each side of the equation. Add 2 to each side of the equation. Combine like terms. Multiply each side of the equation by 5.
Answers
Answer:
Combine like terms
Step-by-step explanation:
