Answers
Answer: x= 13, y=24
Step-by-step explanation:
7x - 31 + 63 + 5x - 8 = 180 (sum of co-interior angles)
Solving this we get x = 13
4y + 27 + 5x - 8 = 180 (sum of co-interior angles)
Replacing x=13 and solving, we get y = 24
The value of x is 7 and y is 31.5.
What is Transversal line?Transversal line is a line that is formed by cutting two or more parallel lines.
Here there are two transversal lines which cut two parallel lines.
If two parallel lines are cut by a transversal line, then the interior angles on the same side of the transversal will be supplementary.
The angles of measures (7x - 31)° and (5x - 8)° + 63 are two interior angles on the same side of transversal and are thus supplementary.
(7x - 31)° + (5x - 8)° + 63 = 180°
7x + 5x - 31 - 8 + 63 = 180
12x + 24 = 180
12x = 180 - 24
12x = 156
x = 156/12 = 13
Similarly, (5x - 8)° and (4y + 27)° are a pair of interior angles on the same side of transversal.
(5x - 8)° + (4y + 27)° = 180°
5x + 4y + 19 = 180
(5 × 13) + 4y + 19 = 180
65 + 4y + 19 = 180
4y = 96
y = 24
Hence the values of x and y are 13 and 24 respectively.
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Related Questions
Hello! I need help with coordinate planes in math. I don't need an explanation, because I do kind of understand it. If you don't know the answer, please don't answer it. If you have any questions about the question, please drop in a comment! Thank you!
Answers
Answer:
the first one
the third one
thats all I know but this should help I have some work to do soooo sorry big zozo ;(
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!
Answers
3.Infinite solutions
2. No solution
4. No solution
5. 7x+12=7x-3
6. 7x + 12 = 12 + 7x
7. 7x + 12 = 4x + 3
ALGEBRA Ishiro Murakami has $15.60 deducted weekly for
family medical insurance. His employer pays 85% of the cost.
What is the annual premium?
Answers
Murakami's Annual premium which is the total value of medical insurance in a year is $5408
Percentage paid by employer = 85%Percentage paid by worker = 15%Number of weeks in a year = 52Annual deduction from worker's salary = 52 × 15.60 = $811.2
15% of annual premium = 811.2
Let annual premium = p
Therefore,
15% × p = 811.2
0.15p = 811.2
Divide both sides by p
p = 811.20 / 0.15
p = $5408
Therefore, his annual premium is $5408
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Which shows the correct expression and answer for solving 1.8 x 1.2 with partial products?
Answers
Answer:
Step-by-step explanation:
1.8 x 1.2 = 2.16
Answer:
the answer is C
Step-by-step explanation:
I had this test before
1. John has 2 options to use gym facilities in his community.
Plan A:
$3 hourly rate.
Plan B:
$2 hourly rate plus $2 entrance fee per visit during off peak hours.
$4 hourly rate with discount $1 per visit during peak hours.
If John chooses plan A, how many hours he has to use the gym facilities per trip,
a. during off peak hours
b. during peak hours
in order to make his payment cost effective (Payment to be lower than plan B). Give a
conclusion for questions above.
Answers
Answer:
B
Step-by-step explanation:
because its even better when u see it be doing math
Write an equation for a line that passes through the points (1, 2) and (11, 22). The form is your choice.
Answers
y=mx+b
-3=3(3)+b
-3=9+b
-12=b
kohl's is having a sale on shoes where you can buy 4 pairs of shoes for $92. walmart is also having a sale where you can buy shoes for $23 each. who has the better deal on shoes ?
Answers
4 x 23 = 92
four shoes cost $92 at Wallmart, but its the same at kohl's
wallmart price = kohl's price
$92 = $92
they are equal
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 2?
Write your answer as a fraction.
Answers
What is the difference between Independent and dependent events?
Choose the correct answer below.
O A Two events are independent when the occurrence of one event does not affect the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event affects the probability
of the occurrence of the other event.
OB. Two events are independent if only one of the two events can occur. Two events are dependent if they can occur at the same time.
OC. Two events are independent when the occurrence of one event affects the probability of the occurrence of the other event. Two events are dependent when the occurrence of one event does not affect the probability
of the occurrence of the other event
OD. Two events are independent if they can occur at the same time. Two events are dependent if only one of the two events can occur.
Answers
Answer: A
Step-by-step explanation:
It is the definition of independent and dependent events
halp now if u pro i will give brainli
Answers
Answer:
The orange line is the actual answer because it is moving at constant velocity
Step-by-step explanation:
z=x^2-xy+y^2+3x-2y+1
Answers
Answer:
.....................
Which ordered pairs is a solution to −5x + 3y > 12?
A. (3, 9)
B. (-5, 5)
C. (3, -6)
D. (-2, -5)
E. (2, 8)
F. (-6, 0)
Answers
The ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
what is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
For example, In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age ≤ 12. This is a real-world example of an inequality.
Given:
−5x + 3y > 12
a) (3, 9)
−5x + 3y > 12
-5(3) + 3 (9) > 12
-15 + 27 > 12
12>12
b) (-5, 5)
−5x + 3y > 12
-25 + 15 > 12
-10>12
c) (3, -6)
−5x + 3y > 12
-15 -18 > -12
-23> -12
d) (-2, -5)
−5x + 3y > 12
10 - 15 > 12
-5> 12
e) (2, 8)
−5x + 3y > 12
-10 + 24 > 12
14>12
f) (-6, 0)
−5x + 3y > 12
30 + 0 > 12
30>12
Hence, the ordered pair that satisfy the inequality is (2, 8) and (-6, 0)
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Internet rates for two companies are shown in the table. After how many months of
service is the total cost the same no matter which company is used? What is this total
cost?
Intemet Service Provide
Charges
Tyson's Ethernet $100 activation fee plus $20 per month
Darriana's DSL
$30 per month
A 10 months, $300
B 20 months, $600
C 30 months, $700
D 2 months, $60
Answers
100+(20×10)=300
30×10 =300
months = 10
The total cost becomes the same after 20 months of service, and the total cost is $600.
To find out when the total cost becomes the same for both companies, we need to compare their cumulative costs over time.
Tyson's Ethernet has an activation fee of $100 plus $20 per month, while Darriana's DSL costs $30 per month.
Let's set up equations for both companies:
For Tyson's Ethernet:
Total cost = Activation fee + Monthly charges
Total cost = $100 + ($20/month) * months
For Darriana's DSL:
Total cost = Monthly charges
Total cost = ($30/month) * months
We want to find when these two total costs are equal:
$100 + ($20/month) * months = ($30/month) * months
Now we can solve for the number of months:
$100 + ($20/month) * months = ($30/month) * months
$100 = ($30/month - $20/month) * months
$100 = $10/month * months
months = $100 / $10
months = 10
So, it takes 10 months for the costs to be equal. Now let's find the total cost at that point:
Total cost = ($30/month) * months
Total cost = ($30/month) * 20 months
Total cost = $600
Therefore, after 20 months of service, the total cost is the same for both companies, and the total cost is $600.
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Solve for the value of P. Please!!
Answers
currently get paid $12.00 an hour and I really want to make an extra $300.00 by working overtime. I'll need to work __________ extra hours
Answers
Answer:
25
Step-by-step explanation:
300/12 = 25
Evaluate.
(a−2b)3 when a=−3 and b=−1/2
Enter your answer in the box.
Answers
Answer:
[tex]-3.5[/tex]
Step-by-step explanation:
[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}[/tex]
Given that,
[tex]a=(-3)\\b=(-1/2)[/tex]
So,
[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}\\=(-3)^{3}-6* (-3)^{2} *\frac{-1}{2} +6*(-3)*(\frac{-1}{2} )^{2} -8*(\frac{-1}{2} )^{3} \\= (-27)-6*9*\frac{-1}{2} +-18*\frac{1}{4} -8*\frac{-1}{8} \\=(-27)-6*-4.5-4.5+1\\=-27+27-4.5+1\\=-3.5[/tex]
Hope this helps you
Let me know if you have any other questions :-)
help！！！！What is a value of y that makes the relation （3，5）（2，5）（9，y）a function！
Answers
Answer:
tesie nqsguirin tentndaoloe
Step-by-step explanation:
it has a slope of -7 and passestrough the point (-3,16)
Answers
Answer:
y = -7x - 5
Step-by-step explanation:
y-intercept= 16 - (-7) (-3) = - 5
plss helpppppppppppp plssss
Answers
Answer:
(x + 1)(x - 7) is the odd one.
Step-by-step explanation:
1) sum= 8
Product = 7
Factors = 1 , 7 {1*7 = 7 & 1+7 = 8}
x² + 8x + 7 = x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
=(x +1 )(x + 7)
2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)
= x(x - 1) - 7(x - 1)
=(x - 1)( x - 7)
3)Sum = 6
Product = -7
Factors = (-1) , 7 { -1 + 7 = 6 & (-1)*7 = -7}
x² + 6x - 7 = x² - x + 7x - 7
= x(x - 1) + 7(x - 1)
= (x - 1)(x + 7)
Answer:
(x+1)(x-7) is the odd one out
7. John is going on a trip to Brazil. He has 3 pairs of pants, with colors blue, black and green. He
has 6 shirts with colors red, white, yellow, purple, green and brown. If he has a pair of brown
shoes, black shoes and a pair of sneakers, how many different combination of pants, shirts and
foot wear can he wear while on vacation? Show your work.
Answers
Answer:
54
Step-by-step explanation:
3(pants)x6(shirts)x3(shoes)=54
13. There are 6 times as many dogs as cats. If the total number of dogs
and cats is 21, how many dogs are there?
Answers
Answer: The answer you would be looking for is 126.
Step-by-step explanation:
If theres 21 you are multiplying by 6 and that is 126
Solve for x: -7 < X - 1 < 8
Answers
Answer:
4th option
Step-by-step explanation:
-7 < X - 1 < 8
Add +1 on all side
-7+1<x-1+1<8+1
-6<x<9
Answer:
D
Step-by-step explanation:
-7<x-1 and - 1<8
-7<x-1 : x>-6
x-1<8 : x<9
combine x>-6 and x<9
= -6 < x < 9
[tex]3.2a-1-4 \frac{1}{3}a+7-a[/tex]
Answers
"keep-change-flip" is a strategy used to dividing fractions.
always change the mix fraction to a improper fraction and you slove.
I'll do the first one and the rest is basically done the same way.
for the last fraction equation I cross multiply the 4 divided into 4 gives you 1 and the 3 divided into 21 gives you 7.
(2*10^3) + ( 5*10^5 )
Answers
−x2 if x=−4 pls help
Answers
Answer:
x=4
Step-by-step explanation:
Simplify each radical
1-4
Answers
Which of the following are possible
side lengths for a triangle?
A. 9, 4,8
B. 14, 7,6
C. 3, 8, 1
Answers
The only set of side lengths that can form a triangle is 9, 4, 8.
Option A is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check if each of the given sets of side lengths satisfies this condition:
A.
9, 4, 8
9 + 4 > 8 ✓
9 + 8 > 4 ✓
4 + 8 > 9 ✓
All three inequalities are true, so these side lengths can form a triangle.
B.
14, 7, 6
14 + 7 > 6 ✓
14 + 6 > 7 ✓
7 + 6 > 14 ✗
The last inequality is false, so these side lengths cannot form a triangle.
C.
3, 8, 1
3 + 8 > 1 ✓
3 + 1 > 8 ✗
8 + 1 > 3 ✓
The second inequality is false, so these side lengths cannot form a triangle.
Therefore,
The only set of side lengths that can form a triangle is A. 9, 4, 8.
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Convert standard form to vertex form y=2+3x ^2
Answers
Answer:
y=3(x+0)^2+2
Step-by-step explanation:
The standard form of a parabola is y=ax2+bx+c y = a x 2 + b x + c . The vertex form of a parabola is y=a(x−h)2+k y = a ( x − h ) 2 + k .
A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.
Answers
The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.
Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minuteChange in the volume of solution in the tank per minute can be calculated thus :
Change in volume = (Entry rate - Discharge rate) × time [tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]The total change in the volume of solution in the tank after 10 minutes can be calculated thus :
Change in volume per minute × time [tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes
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Hey what is 9x238
any help?
Answers
Answer:
2142
Step-by-step explanation: