Answers
Answer:
[tex]\huge\boxed{x = 11,\ y = 3}}[/tex]
Step-by-step explanation:
In order to find the value of x and y in this, we have to note a couple of angle relationships.
We know that angles [tex]13x-19[/tex] and [tex]9x+25[/tex] are the same because they are corresponding angles. This means that when a line intersects two parallel lines, the angles formed are congruent to the second line.
This means both expressions for the line will be equal to each other:
[tex]13x-19 = 9x+25[/tex]
We can now solve for x.
Add 19 to both sides:
[tex]13x = 9x+44[/tex]
Subtract 9x from both sides:
[tex]4x=44[/tex]
Divide both sides by 4:
[tex]x=11[/tex]
Now that we know that x = 11, we can use another angle relationship to find y.
We know that [tex]13x-19[/tex] and [tex]17y+5[/tex] are supplementary angles. This means their angle measurements add up to 180°.
Since we know the value of x, we can find the measure of the angle [tex]13x-19[/tex].
[tex]13(11) -19\\\\143-19\\\\124[/tex]
So the [tex]13x-19[/tex] angle is equal to 124 degrees. Since this and [tex]17y+5[/tex] are supplementary, that means [tex]17y+5[/tex] must be equal to [tex]180-124=56[/tex] degrees.
[tex]17y+5=56[/tex]
Subtract 5 from both sides:
[tex]17y=51[/tex]
Divide both sides by 17:
[tex]y=3[/tex]
So, x = 11 and y = 3.
Hope this helped!
Answer:
Y=3
X=11
Step-by-step explanation:
9x + 25 is = to 13x - 19 so you would do exactly that.
9x + 25 = 13x -19
-9x -9x
25 = 4x -19
+19 +19
44 = 4x
4 4
11 = x
9*11+25= 124
And 124 is not equal to 17y+5 so the equation would be
124 + 17y +5 = 180
124 + 5 = 130
129 + 17y = 180
-129 -129
17y = 51
17 17
Y= 3
Related Questions
What is the sum of the first 21 even numbers? FAST!!!
Answers
Answer:
462
Step-by-step explanation:
Sum = n/2 x (a + Tn)
= 21/2 x (2 + 42)
= (21 x 44)/ 2
= 924/2
2 + 4 + 6 + 8 + 10 + 12 + . . . . + 42 = 462
If you have a negative slope how do you graph it?
Answers
someone please help me
Answers
Answer:
1/49 it is the equal to that
Step-by-step explanation:
I
If 12 cats can catch 6 rats in 2 hours, how many hours would it take 50 cats to catch 75 rats?
Answers
Answer:
50 cats would take 6 hours to catch 75 rats.
Step-by-step explanation:
After reading the statement we noticed the existence of two relationships:
1) The amount of cats is directly proportional to the quantity of caught rats.
2) The amount of cats is inversely proportional to time taken to catch rats.
That is to say:
[tex]n \propto \frac{x}{y}[/tex]
[tex]n = k\cdot \frac{x}{y}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Amount of cats, dimensionless.
[tex]x[/tex] - Amount of caught rats, dimensionless.
[tex]y[/tex] - Time, measured in hours.
[tex]k[/tex] - Proportionality ratio, measured in hours.
Then, we obtain the following relationship by eliminating the proportionality ratio in (Eq. 1):
[tex]\frac{n_{1}\cdot y_{1}}{x_{1}} = \frac{n_{2}\cdot y_{2}}{x_{2}}[/tex] (Eq. 2)
Where:
[tex]n_{1}[/tex], [tex]n_{2}[/tex] - Initial and final amounts of cats, dimensionless.
[tex]x_{1}[/tex], [tex]x_{2}[/tex] - Initial and final amounts of caught rats, dimensionless.
[tex]y_{1}[/tex], [tex]y_{2}[/tex] - Initial and final times, measured in hours.
Now we clear final time in (Eq. 2):
[tex]y_{2} = y_{1}\cdot \left(\frac{n_{1}}{n_{2}} \right)\cdot \left(\frac{x_{2}}{x_{1}} \right)[/tex]
By knowing that [tex]y_{1} = 2\,h[/tex], [tex]n_{1} = 12[/tex], [tex]x_{1} = 6[/tex], [tex]n_{2} = 50[/tex], [tex]x_{2} = 75[/tex], then we get that time taken by 50 cats to catch 75 rats is:
[tex]y_{2} = (2\,h)\cdot \left(\frac{12}{50} \right)\cdot \left(\frac{75}{6}\right)[/tex]
[tex]y_{2} = 6\,h[/tex]
50 cats would take 6 hours to catch 75 rats.
rewrite the expression from part B using the additive inverse that you identified in part C.
Answers
Answer:
12.3 – (-9.6) = 12.3 + 9.6
Step-by-step explanation:
Shelby wants to buy 10 yards of fabric that costs $2.49 per yard. How much money will Shelby need to purchase all the fabric? $2.49 $4.01 $12.49 $24.90
Answers
Answer:
$24.90
Step-by-step explanation:
Answer:
24.90
Step-by-step explanation:
Select the prime factors of 204.
A. 2 x 17
B. 6 x 17
C. 2 x 3 x 17
D. 2 x 2 x 3 x 17
Answers
-16 - (-t) = -45 how do you solve this please help
Answers
Answer:
- 29
Step-by-step explanation:
Step 1:
- 16 - ( - t ) = - 45 Equation
Step 2:
- 16 + t = - 45 Open Parenthises
Step 3:
t = - 45 + 16 Add 16 on both siddes
Answer:
t = - 29
Hope This Helps :)
Answer:
t = -29
Step-by-step explanation:
Step 1: Write equation
-16 - (-t) = -45
Step 2: Solve for t
Simplify: -16 + t = -45Add 16 to both sides: t = -29Step 3: Check
Plug in t to verify it's a solution.
-16 - (-(-29)) = -45
-16 - 29 = -45
-45 = -45
The area A of the rectangle shown
is described with the inequality
60 A 140. Write and solve a
compound inequality for x.
Answers
Step-by-step explanation:
Simplifying
4x + -5 = 20x
Reorder the terms:
-5 + 4x = 20x
Solving
-5 + 4x = 20x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-20x' to each side of the equation.
-5 + 4x + -20x = 20x + -20x
Combine like terms: 4x + -20x = -16x
-5 + -16x = 20x + -20x
Combine like terms: 20x + -20x = 0
-5 + -16x = 0
Add '5' to each side of the equation.
-5 + 5 + -16x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -16x = 0 + 5
-16x = 0 + 5
Combine like terms: 0 + 5 = 5
-16x = 5
Divide each side by '-16'.
x = -0.3125
Simplifying
x = -0.3125
plllsssssssssss I needddd ansswwerss
Answers
Answer:
9/4 or 2¼
Step-by-step explanation:
have the number be represented by x2/3s OF x (of means to mulitply); 3 INCREASED BY (increased by means to add); 1/2 OF x (again, of means to multiply)so we can write the equation like this:2/3x=3+1/2xnow we need to get x by itselfmultiply both sides of the equation by 2/1 (the reciprocal of 1/22/3(2/1)=4/3 ; 1/2(2/1)=1now our equation look like 4/3x=3multiply both sides of the equation by 3/4 (the reciprocal of 4/3)4/3(3/4)=1 ; 3(3/4)=9/4x = 9/4 or 2¼khan academy graph from the linear standard form.
Graph -14x + 21y = 84
Answers
Answer:
16
Step-by-step explanation:
because i am smort
can ya smart people solove ths
Answers
Answer:
[See Below]
Step-by-step explanation:
____________________
✦ Solve:
Divide: [tex]6[/tex] ÷ [tex]2=3[/tex]Add: [tex]1+2=3[/tex]Multiply: [tex]3*3=9[/tex]____________________
So your answer would be:
[tex]\bold9[/tex]____________________
~Hope this helps Mate. If you need anything feel free to message me.
[tex]-Your~ Friendly~ Answerer,~Shane[/tex] ☺
Cleo and jandi are having a Halloween party. They have 3 1/2 pounds of candy to divide into 14 goodie bags. How much candy will be in each bag?
Answers
Answer:
1/4 pound(s) of candy in each bag
Step-by-step explanation:
3 1/2 (pounds of candy) ÷ 14 (goodie bags) = ?
To make this easier let's turn 3 1/2 into a improper fraction and flip 14/1 (14/1 to 1/14):
3 1/2 = 7/2 14/1 = 1/14
Now we multiply:
7/2 x 1/14 = 7/28 = 1/4
(When you divide fractions, you can flip the second fraction and multiply and get your answer. Remember to simplify once you get your answer!)
Hope I helped! Sorry if wrong!
Answer:
1/4 pounds
Step-by-step explanation:
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answers
Answer:12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
d=b^2-4ac solve for a
Answers
Answer:
a=-d/4c+b^2/4c
Step-by-step explanation:
Use the vertical line test to determine whether or not the graph is a graph of a function.
Answers
explanation:
well if you used the vertical line test, then you would know this is a function because there’s no more than 1 point for each vertical line.
*vertical means up and down*
A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube? Report your answer in mm3 but do not include the unit mm3 in your answer box. Round your answer to the nearest whole number and do not include commas in your answer. The formula for volume of a cylinder is V=πr2h.
Answers
Answer:
20165
Step-by-step explanation:
Given:
Length/height (h) of cylindrical test tube = 152 mm
Radius of cylindrical test tube = 6.5 mm
Volume = [tex] \pi r^2h [/tex]
Required:
Volume of cylinder to nearest whole number
Solution:
The volume is given as [tex] V = \pi r^2h [/tex]
Take π as 3.14 and plug the values of r and h into the volume formula.
[tex] V = 3.14*6.5^2*152 [/tex]
[tex] V = 3.14*6.5*152 = 20165.08 [/tex]
Volume of the test tube = 20165 mm³ (nearest whole number)
9. PRODUCTION Brown Pencil factory can
produce 150 gross of pencils in a quarter of an
hour. At this rate, how many gross of pencils
can the factory produce in seven and a half
hours?
Please hurry
Answers
Answer:
4500
Step-by-step explanation:
A(x) = x² +10x - 75
rewrite in factored form
Answers
Step-by-step explanation:
A(x) = x² + 10x -75
= (x + 15)(x - 5)
Answer:
(x+15)(x-5)
Step-by-step explanation:
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Find the discounted price.
flashlight: $18.00 discount: 25%
Answers
Answer:
You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $18 as follows: $18 x . 25 = $4.50 savings.
Which property does this show? 4(3 - x) = 12 - 4x
Answers
Answer:
Distributive property
Step-by-step explanation:
when you distribute the left sid dit equals the right
(5x² + 8x - 3) + (2x² - 7x + 13x)
Answers
Answer:
Simplify the expression.
7x2+14x−3
Step-by-step explanation:
The required simplification can be given as 7x²+ 14x - 3
What is simplification?
The operation in mathematics to process and interpret the relation to make function simple or more simple is called simplify and the phenomenon is called simplification.
We have,
= (5x² + 8x - 3) + (2x² - 7x + 13x)
= 5x²+ 2x²+ 8x - 7x + 13x - 3
= 7x²+ 14x - 3
Thus, the required simplification can be given as 7x²+ 14x - 3
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Write 5.77 x 10 in standard form.
5.77 x 10–2
Answers
Answer:
The answer is 57.7 x.
Step-by-step explanation:
Use the function to fill in the table.
g(x)=-3x+1
Answers
3.The snow starts at a depth of 10 inches and melts to 2 inches over the span of 4 hours. Determine the rate of change over the interval 0≤x≤4A.4 inches per hour
B.2 inches per hour
C.8 inches per hour
D.12 inch per hour
4.The population in a neighborhood increased from 120 to 156 people from 1990 to 1994. Find the rate of change over the interval 1990≤x≤1994.
A.1/9 of a person per year
B.9 people per year
C.36 people per year
D.4 people per year
5.The temperature increases from 60 degrees Fahrenheit to 84 degrees Fahrenheit from 8 in the morning to 12 in the afternoon. Find the rate of change over the interval 8≤x≤12
A.16 of a degree Fahrenheit per hour
B.4 degrees Fahrenheit per hour
C.6 degrees Fahrenheit per hour
D.24 degrees Fahrenheit per hour
If you answer, answer with all of the questions listed thank you.
Answers
3. B: 2 inches
4. C: 9 people
5. B: 6 degrees
there are no 43 people in the cafeteria what is the inequality
Answers
Answer:
Step-by-step explanation:
if you have the option, you can say
# of people ≠ 43
PLS HELP! WILL BE MARKING BRAINLIEST!!!!!!!!
Answers
Answer:
Tracy most likely saw 13 cars, and 13 motorcycles. Other solutions that you can find are: average number of tires in the area, the mode number of tires in the area (see the most often), etc.
Step-by-step explanation:
2x + 4x = 78
2(13) + 4(13) = 78
As 13 and 13 are two prime numbers, the answer will be 13.
100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Find the slope of the line that contains the points:(-6, 3) and (-4,5).
Answers
Answer:
slope = -4/5
Step-by-step explanation:
16/7 - 1/14 subtracting fractions
Answers
Answer:
31/14
Step-by-step explanation:
We first need to get common denominators, so we multiply the 16 and the 7 by 2, to get 32/12. Now we can subtract since the fractions have common denominators. After subtracting we get 31/14 or 2 3/14. Hope this helps!
Solve each quadratic equation by completing the square.
6x2 – 28x = - 16
Answers
Answer:
There is no real solutionStep-by-step explanation:
[tex]6x^2-28x = - 16\\\\6x^2-28x + 16=0\\\\3x^2-7x+8=0\\\\9x^2-21x+24=0\\\\(3x)^2-2\cdot3x\cdot\frac72+(\frac72)^2-(\frac72)^2+24=0\\\\(3x-\frac72)^2-\frac{49}4+24=0\\\\(3x-\frac72)^2-12\frac{1}4+24=0\\\\(3x-\frac72)^2+12\frac{3}4=0\\\\(3x-\frac72)^2=-12\frac{3}4[/tex]