Answers
Answer:
x = 26 2/3
y = 50
Step-by-step explanation:
you could set '2y-3x' equal to '-3x+y+50' because they are vertical angles
2y - 3x = -3x + y + 50
add 3x to each side to get:
2y = y + 50
y = 50
also, we know that (1/2y + 25) + (2y - 3x) = 180 because they form a straight line
3/2y + 25 - 3x = 180
subtract 25 from each side to get:
3/2y - 3x = 155
substitute 50 for 'y' to get:
3/2(50) - 3x = 155
75 - 3x = 155
-3x = 80
x = 26 2/3
Related Questions
The angle of depression of a rabbit from the top
of a cliff is 24°. After the rabbit hops a distance
of 80 m horizontally towards the base of the cliff,
the angle of depression of the rabbit from the
top of the cliff becomes 32°. Find the height of
the cliff.
Answers
The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.
Let the height of the cliff be represented by h, so that:
From the triangle 1, we have:
tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]
⇒ h = tan [tex]32^{o}[/tex]*x
h = x tan [tex]32^{o}[/tex] ............. 1
Also, from the bigger triangle, we have:
tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]
⇒ h = tan [tex]24^{o}[/tex] (80 + x) ......... 2
Now equating the expressions for h in equations 1 and 2, we have:
x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)
0.6249x = 0.4452 (80 + x)
= 35.616 + 0.4452x
0.6249x - 0.4452x = 35.616
0.1797 x = 35.616
x = [tex]\frac{35.616}{0.1797}[/tex]
x = 198.2 m
Substitute the value of x in equation 1;
h = x tan [tex]32^{o}[/tex]
= 198.2 * 0.6249
= 123.8552
h = 123.86 m
Therefore, the height of the cliff is approximately 123.86 m.
A sketch to this question is attached.
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A train traveling 200 miles per hour for 1 1/2 hours covers the same distance as one traveling at 75 miles per hour for how many hours?
Answers
Answer:
4
Step-by-step explanation:
200 * 1 1/2 = 300 miles traveled
300/75 = 4 hours
What is an eigenvalue.
Answers
Answer: Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).
Step-by-step explanation:
To all who are good at math please help 80 points
Answers
Answer:
Number 4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answers
Answer:
32a-18
Step-by-step explanation:
add together the side lengths:
10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18
Answer:
32a-18
Step-by-step explanation:
you just sum it all together
35-2x4 to the 2 power
Answers
Answer:
I belive the answer is 3.
Step-by-step explanation:
35-2x4^2
35-2x16
35-32
3
Answer:
[tex]1225-140x^4+4x^8[/tex]
Step-by-step explanation:
(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]
Applying this formula, we get 1225+4x^8-140x^4
On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$
Answers
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
Number of hours that I used to work = 1 hour
My hourly pay = $3t - 3
My total pay at the end of the day = Number of hours x hourly pay
My total pay at the end of the day = 1 (3t - 3)
My total pay at the end of the day = $ 3t - 3
Number of hours that Andrew used to work = 3t -5 hour
Andrew's hourly pay = $2
Andrew's total pay at the end of the day = Number of hours x hourly pay
Andrew's total pay at the end of the day = 2 (3t - 5)
Andrew's total pay at the end of the day = $ 6t - 10
At the end of the day, I earned $2 more than Andrew
My total pay = Andrew's total pay + 2
3t - 3 = 6t - 10 + 2
6t - 3t = -3 +10 - 2
3t = 5
t = 5/3
[tex]t = 1\frac{2}{3}[/tex]
If I earned $2 more than Andrew at the end of the day, then the value of t is [tex]1\frac{2}{3}[/tex]
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Quadrilateral HUJK has coordinates H(2, 3), 1(2, 6), J(-1, -8), and K(-2, 4). If the quadrilateral is
translated and H' (the image point of H) is located at (6, 2), find the coordinates of J' (the
image point of J).
Answers
Answer:
Ima troll
Step-by-step explanation:
Which equation has the solution x = 3?
Select each correct answer.
9−3x=0
2x + 4 = 10
9x−1=4
3x + 1 = 9
x3+5=6
5x−7=1
Answers
Answer:
First two equations
Step-by-step explanation:
9-3x=0
9=3x
3=x
x=3
2x+4=10
2x=6
x=3
9x-1=4
9x=5
x=5/9
3x+1=9
3x=8
x=8/3
x^3+5=6
x^3=1
x=1
5x-7=1
5x=8
x=8/5
10;11;15;15;17;22;11 what is the mode of this data?
Answers
Answer:
11, 15
Step-by-step explanation:
They both occur two times so they are tied for mode so both numbers is the answer
given m || n, find the value of x and y.
Answers
Answer: x = 56 and y= 56
Step-by-step explanation: 124 + 124 = 248
360 - 248 = 112
112 divided by 2 = 56
What's the best first step in solving-4 + 2/5 > 5/10
Answers
Answer:
B
Step-by-step explanation:
There are 2 operations happening on the left side to x.
1. x is being multiplied by -4.
2. 2/5 is being added to -4x.
If you had a number for x, and you wanted to evaluate the left side, first, you would multiply the value of x by -4. Then you would add 2/5.
To solve an equation or an inequality, you do the opposite operation in the opposite order.
Since the second operation was add 2/5, to solve, you start by doing the opposite of the second operation. That means you subtract 2/5 from both sides.
Answer: B
Opps, forget to add picture. 6 minutes left. Pls help, thank you!
Answers
Answer:
I don't know sorry please forgive me
Answer:
D
Step-by-step explanation:
mean is 11.25 and midian is 10.50
How do you do order of operations step by step?.
Answers
Answer:
"Please excuse my dear Aunt Sally or PEMDAS"
____________________________________________________________
Please stands for Parentheses, so we solve everything inside of the parentheses first.
Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.
Multiplication, which is the My, and this happens from left to right.
And then division, which is the “Dear,” which also happens left to right.
And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answers
Answer:
0.5cups / [tex]\frac{1}{2}[/tex] a cup
Step-by-step explanation:
Which expression shows the distance on the number line between −3 and −10 ?
Answers
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
What are 2 multiplication expressions that have the product of 28.34 ?!?!?!? NEED HELP ASAP!!!!
Answers
Answer:
28.34 x 1 = 28.34
14.17 x 2 = 28.34
There are required two multiplication expressions that might generate the result 28.34. Here are a number of such examples:
28.34 × 1
14.17 × 2
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have to determine two multiplication expressions that have the product of 28.34
As per the given question, the required solution would be as:
There are many possible multiplication expressions that could result in the product of 28.34. Here are two examples:
28.34 × 1
14.17 × 2
In the first example, the product is 28.34 because any number multiplied by 1 is equal to itself.
In the second example, the product is 28.34 because 14.17 multiplied by 2 is equal to 28.34.
Hence, the required answers are 28.34 × 1 and 14.17 × 2
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Will give brainliest
Answers
Answer:
I hope this helps.
Step-by-step explanation:
The quotient of 5 divided by q minus the product of 5 and q.
Answer: (5/q-5q)
The product of 5 and the difference of q minus 5.
Answer: (5(q-5)
The quotient of q divided by 5 plus the product of 5 and q.
Answer: (q/5+5q)
The sum of 5 and the product of 3 times q.
Answer: (5+3q)
Can someone please tell me the answer to this?
Answers
Answer:
look at the picture ..........
Answer:
x³
Step-by-step explanation:
x × [tex]x^{5}[/tex] = [tex]x^{6}[/tex]
[tex]x^{2}[/tex] × [tex]x[/tex] = [tex]x^{3}[/tex]
[tex]\frac{x^6}{x^3}[/tex]= x³
(X+9)(x-2)-9x-6 is equivalent to?
Answers
Answer:
[tex]x^{2}[/tex] - 2x - 24
Step-by-step explanation:
(x + 9)(x - 2) - 9x - 6
[tex]x^{2}[/tex] - 2x + 9x - 18 - 9x - 6 Multiply.
[tex]x^{2}[/tex] - 2x - 24 Combine the like terms.
Subtract the linear expressions.
(34x−1)−(13x+4)
What is the difference?
Enter your answer in the box. Enter fractions as simplified fractions.
Answers
Answer: 21x-5
Step-by-step explanation:
All you have to do is subtract like you normally would and you'll get the answer
- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?
Answers
(a) One possibility is 8.45
Rounded to the nearest integer = 8
Rounded to the nearest tenth = 8.5
And rounding this to the nearest integer = 9
(b) The possible numbers are 8.45 to 8.49, inclusively
Answer:
Table is below in explantation
Not proportional
yes, linear
Step-by-step explanation:
We substitute and solve:
TABLE:
X --> Y
0 --> -2 (0-2 = -2)
1 --> -1
2 --> 0
Yes, it is linear, the slope is 1 and is written in slope - intercept form
No, not proportional, the y - intercept is (0, -2) not (0,0)
Graph 4x + 7y ≤ 28 in the first quadrant of the coordinate plane.
Answers
Answer:
StGraph the line using the slope and y-intercept, or two points.
Slope: −47
y-intercept: (0,−4)
x y
−7 0
0 −4
Step-by-step explanation:
(?) solve the following. please show your steps !!
a. 100 – 8 × √25 + 3?
b. 100 – (11 – 4)² × 2?
Answers
Use PEDMAS for order of operation:
a: 100 – 8 × √25 + 3
First solve the root:
100 – 8 × 5 + 3
Next multiply:
100 - 40 + 3
Now solve from left to right:
100-40 = 60
60+3 = 63
Answer: 63
b. 100 – (11 – 4)² × 2
First parentheses:
100 - 7^2 x 2
Next the power:
100 - 49 x 2
Multiplication:
100 - 98 = 2
Answer: 2
segment DE is a midsegment of triangle ABC. find the value of x
Answers
Answer:
x = 10
Step-by-step explanation:
The value x is 10 units.
What is midsegment?A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.
Given that, segment DE is a midsegment of triangle ABC.
According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
Therefore, DE = 1/2 AB
5 = 1/2x
x = 5×2
x = 10
Hence, the value of x is 10 units.
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How to solve quadratic using completing the square.
Answers
Answer:
You can solve quadratic equations by completing the square. Completing the square involves creating a perfect square trinomial from the quadratic equation, and then solving that trinomial by taking its square root.
Step-by-step explanation:
What is the remainder when you divide 2x3 4x2 - x 3 by x 2?.
Answers
the answer is 5 hope this helps lol
How many times does 9 go into 695 with partial quotient divison
Answers
Please help with this math problem! Will give brainliest!! :)
Answers
Answer:
x = 20
y = 70
Step-by-step explanation:
Solve for x:
5x - 20 = 3x + 20
2x - 20 = 20
2x = 40
x = 20°
Solve for y:
x + y = 90°;
(20) + y = 90°
y = 90 - 20
y = 70°
Hope this helps!
Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip
Answers
Answer:
$31.92
Step-by-step explanation:
28.50 x .12 = 3.42
3.42 + 28.50 = $31.92
The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.
Let’s set up a proportion. We can substitute the amounts we know into the proportion.
Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.
Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.