Answers
Answer:
Step-by-step explanation:
1. p║ q
50+130 = 180
If the same side interior angles are supplementary angles then the lines are parallel.
2. p║ q
70 = 70
If the corresponding angles are congruent the lines are parallels.
4. p║ q
x = x
If alternating exterior angles are congruent then the lines are parallel.
5. we do not know if p is parallel with q
We have given that 2 vertical angles are congruent yet that is not enough to tell us about the relation between the 2 lines.
7. For the lines p and q to be parallel we need the corresponding angles 3x and 45 to be congruent so therefore equal in measure.
3x= 45 , divide both sides by 3
x= 15
For x = 15 the p║ q
8. For the lines p and q to be parallel we need the corresponding angles 120 and (2x+10) to be congruent so therefore equal in measure.
2x+10 = 120, subtract 10 from both sides
2x = 110, divide both sides by 2
x = 55
For x = 55 the p║ q
Related Questions
x- intercept? explanation please
Answers
Answer:
x-intercept = 2
Step-by-step explanation:
Sum = 3
Product = -10
Factors = 5 , (-2) {5*(-2) = -10 & 5 +(-2) = 3)
Rewrite the middle term using the factors: 3x = 5x - 2x
x² + 3x - 10 = x² + 5x - 2x - 10
=x(x + 5) - 2(x + 5)
= (x +5)(x - 2)
x² + 8x +15 = x² + 3x + 5x + 15
= x(x + 3) + 5(x + 3)
= (x + 3)(x + 5)
[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]
At x-intercept, y = o
[tex]\dfrac{x -2}{x + 3}=0\\[/tex]
x - 2 = 0
x = 2
Liam is a tyre fitter question
Answers
Answer:
a) 168
b) 3
Step-by-step explanation:
a) 56÷4=14 14×12=168
b) 56÷4=14 56-14=42 42÷14=3
Let's caunt how many min for only one tyre and one van
It will take 56 min /4 = 14 min
So it will take only 14 min for 1 tyre in one van.
Let's solve a
A) 12 tyres to 3 van.
If we will say it will take 14 min for each tyre in one van
So 12 tyres will take 14 min * 12 = 168 min which is equal 2 hours and 48 min .
B) as we said it will take only 14 min for 1 tyre.
So 42/14 =3
So he will install 3 tyres in 42 min
Given g(x)=-x-2g(x)=−x−2, find g(3)
Answers
-3 - 6g = 1
explanation:
just substitute 3 for ever x in the problem
If cosec ∅ = √2, find the value of 1+sin²∅+cos²∅/1+sec²∅-tan²∅.
Answers
Given: [tex]cosec[/tex] [tex]A[/tex] [tex]=\sqrt{2}[/tex]
∴ [tex]A=\frac{\pi }{4} =45^{0}[/tex]
[tex]sin[/tex] [tex]A[/tex] [tex]=sin[/tex] [tex]45^{0}[/tex] = [tex]\frac{1}\sqrt{2}[/tex]
[tex]cot[/tex] [tex]A[/tex] [tex]=cot[/tex] [tex]45^{0}[/tex] [tex]=1,[/tex]
[tex]tan[/tex] [tex]A[/tex] [tex]=[/tex] [tex]tan[/tex] [tex]45^{0}[/tex] [tex]=1[/tex]
[tex]cos[/tex] [tex]A[/tex] [tex]=[/tex] [tex]cot[/tex] [tex]45^{0}[/tex] [tex]=\frac{1}{\sqrt{2} }[/tex]
∴ [tex]=2[/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
METHOD 1: Using Trigonometric values.
We have given that,
[tex]\sf\cosec\theta=\sqrt2[/tex]
So,
[tex]\sf\theta=45^{\circ}[/tex]
We need to find:
[tex]\sf\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]
So,
[tex]\sf\longmapsto\dfrac{1+\sin^2(45^{\circ})+\cos^2(45^{\circ})}{1+\sec^2(45^{\circ})-\tan^2(45^{\circ})}[/tex]
[tex]\sf\longmapsto\dfrac{1+\left(\frac{1}{\sqrt2}\right)^2+\left(\frac{1}{\sqrt2}\right)^2}{1+(\sqrt2)^2-(1)^2}[/tex]
[tex]\sf\longmapsto\dfrac{1+\frac{1}{2}+\frac{1}{2}}{1+2-1}[/tex]
[tex]\sf\longmapsto\dfrac{1+1}{2}[/tex]
[tex]\sf\longmapsto\dfrac{2}{2}[/tex]
[tex]\sf\longmapsto\bf1[/tex]
METHOD 2: Using Trigonometric Identities
We need to find:
[tex]\implies\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]
But, we know that,
[tex]\sf\red⇛ \sin^2\phi+\cos^2\phi=1[/tex]
And,
[tex]\sf\red⇛ \sec^2\phi-\tan^2\phi=1[/tex]
So,
[tex]\sf\longmapsto\dfrac{1+(\sin^2\theta+\cos^2\theta)}{1+(\sec^2\theta-\tan^2\theta)}[/tex]
[tex]\sf\longmapsto\dfrac{1+1}{1+1}[/tex]
[tex]\sf\longmapsto\dfrac{2}{2}[/tex]
[tex]\sf\longmapsto\bf1[/tex]
Therefore, by both methods the answer is 1.
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Similar questions
Prove that:
\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1...
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Find the missing number so that the equation has no solutions.
3x - 10 = blank x + 11, please answer fast.
Answers
Answer:
9x
Step-by-step explanation:
Can someone help me on this I’m struggling a lot
A) 2/16
B) 5/8
C) 6/8
D) 1/3
Answers
Answer:
B) 5/8
Step-by-step explanation:
Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.
So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:
1/2 * 4 = 4/8
Now, we can add the amounts of the total granola bar that he consumed:
4/8 + 1/8 = 5/8
Because 5/8 cannot be simplified any further, that is our final answer.
Hope this helps :)
what is the mean of a standard normal distribution?
Answers
The standard normal distribution is a normal distribution with mean μ = 0
The price of the shirt on sale is 80% of the original price. If the original price was 35$, what is the price of the shirt on sale
Answers
Step-by-step explanation:
28 dollars is the answer
A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, “$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!” What do you think?
Answers
Evaluate 12x−3y when x=−14 and y=3
Answers
12x - 3y
12(-14) - 3(3)
-168 + 9
-159
Hope this helps!! :)
Answer:
-177
Step-by-step explanation:
12(-14)-3(3)
-168-9
-177
PLZ HELP
A cylinder and a cone have the same diameter. 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use ll = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work
Answers
Answer:
This is the answer, dont forget to change the wording or you'll get a plagiarism strike.
Step-by-step explanation:
In a chemical reaction, Substance A reacts with Substance B and forms a new substance AB. The chemical equation for this reaction is A + B = AB where A and B are the reactants and AB is the product. If you add more and more of only Substance A, there will be
Answers
Answer:
More and more of product AB but limited to the amount of B
Step-by-step explanation:
Adding more of one substance which makes up the reactant will increase the number of product AB that will be obtained but limited by the amount of B.
The amount of reacting substances is directly proportional to the amount of product yield. This means that adding more and more of the substance which makes up the reactant increases the amount of atoms reacting to form a product.
Hence, adding more and more of only substance A will increase the product AB, however, the amount of B in the product will be limited.
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helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answers
Answer: The attachment is a bit difficult to read, and long. I'll make some suggestions and add some detail to a few of the problems, but would ask that these suggestions be applied to other problems to find the answers.
Step-by-step explanation:
9. Coinciding lines line on top of each other. I.e., they are the same equation. If we take A, for example, we can reduce the second expression by dividing by 2: (2x+4y=6)/2 = (x + 2y = 3). This matches the first expression (x + 2y = 3). ! Whoa, that went fast.
10. (x+8)(x-8) = x² +8x -8x - 64 = x² - 64
11. I don't have the time to explain how one can factor, but practice is important. And I don't know if this is completely factored, but it matches one of the options. Try (n-2)(n²+2n + 4) [n³ +2n² +4n - 2n² -4n -8 = n³ - 8. It works.
12. The denominators are the same, so add the numerators and keep the denominator. (7x+4y)/x²y
13. The slope is the "Rise" over the "Run." (3,4), (8,-1) Rise = (-1 - 4) = -5. Run = (8-3) = 5 Slope = -(5/5) = -1
14. A line with a positive slope will move upwards as x increases. We can eliminate options C and D immediately. That leaves A and B. The line we are looking for is y = 5x + b. We are not given b, the y-intercept, so determine the slopes of both lines: I get 4 for A and 5 for B. To confirm B is correct, we could calculate b for y=5x+b by using given point, (2,3). 3 = 5*2 + b, b = -7. We can't see this point (0,-7) on the graph, but it appears correct. B is the best answer.
15. The line will have the form of y=mx+b. Calculate m, the slope, from the two points (3,1) and (4,7). Rise = 6, Run = 1 Slope = 6. y=6x+b. Find b by using either of the given poins and solving for b. I'll choose (3,1). y=6x+b; 1 = 18 + b; b = -17. The equation is y=6x-17. Rearrange option A (y =6x - 17).
16. The second value in each factor must, when multiplied together, equal the final term of the original expression, -9y². I see only one option for which that is true, C. Multiply the two factors in C to be certain, and you'll find they result in the correct expression.
the graph of y=−3x+2
Answers
The attached image is the graph.
Answer:
The Graph Below
Step-by-step explanation:
You would start at 2 on the y-axis and going down 3 on the y-axis and move over 1 on the x-axis
I hope this helps
Which of the following functions represents an absolute value function?
y = |x - 21
O y = x-2
y = x
Answers
Can anyone help asap please
Answers
Answer:
Step-by-step explanation:
a=e= 90 b/c it is square
b= 45, it half of square
c base in rule of sin or cos, tan.
d=2,85
Please help me and others that will stumble on this problem.
Which lists all of the y-intercepts of the continuous function in the table?
(0, 0)
(–1, 0), (2, 0)
(–1, 0), (0, 0)
(–1, 0), (0, 0), (2, 0)
Answers
Answer:
A (0,0)
Step-by-step explanation:
When a function intersects the y-axis then the point of intersection is called y-intercept of the function,
Also, for y-intercept x = 0.
That is, if f(x) is the function then its y-intercept is (0, f(0) )
By the given table for x = 0, f(x) = 0
Hence, the y-intercept of the given function is (0,0),
Option A is correct.
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44. How much was one late fee?
One late fee was $
Answers
Answer:
11
Step-by-step explanation:
44 dollars after 4 days so 44 divided by 4 = 11
that's it can you did it?
Answers
Answer:
no sorry
Step-by-step explanation:
i just need the points tho so thanks
Answer:
[tex] \sqrt[3]{16 {a}^{3} } = \sqrt[3]{2(8) {a}^{3} } = 2a\sqrt[3]{2} [/tex]
I hope I helped you^_^
Please Help Me! Look at the Image!
Answers
Answer:
y=-2x+1
Step-by-step explanation:
Just look at photo dap
If x = 3, find the value of x2 + 2x
Answers
Answer:
15
Step-by-step explanation:
[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]
3 · 2 = 6
2 · 3 = 6
6 + 6 = 12
Have a luvely day!
Alyssa makes $14 baby sitting on Monday, $15.50 baby sitting on Tuesday, spends $24.35 at the
mall on Wednesday, and earns another $10.25 on Thursday.
25. Will Alyssa be able to go to the movies with her friends if tickets are $9.75?
26. Does Alyssa have enough to buy snacks if she wants popcorn for $3 and soda for $2.50?
27. What is Alyssa's mean daily profit or loss, not including the trip to the movies?
Answers
Answer:
25.)Yesss
26.)Yesss she have enough money to buy a popcorn and soda
27.)?
Step-by-step explanation:
#Hopeee it Helpssss
follow me pls.
1. Vinay applied the distributive property to the equation -5(m - 2) - 25. His equation then became --5m + 10 = -125. Did he apply the distributive property correctly?
Explain
Yes. When using the distributive property you need to multiply all the terms in the equation by the number that is in front of the parentheses.
No. The product of -5 and 25 is 125, not - 125.
No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.
Yes. Vinay multiplied the terms on the left-hand side of the equation by -5, which is what you are supposed to do.
Answers
Answer:
C. No. Vinay also multiplied the right-hand side of the equation by --5, which is incorrect.Step-by-step explanation:
Proper application of the property:
- 5(m - 2) - 25 = -5m - 5(-2) - 25 = -5m + 10 - 25 = -5m - 15Vinay multiplied 5 and 25 as well, which is incorrect.
Correct answer choice is C.
i need the answer!!! help
Answers
Answer:
30517578125
Step-by-step explanation:
. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?
Answers
Answer:
330 day passes, 367 tournament passes
Step-by-step explanation:
The number of day passes sold is 330, while the number of tournament passes sold is 367.
What is a System of equations?A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.
Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.
Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.
y = x + 37
Also, The number of tournament passes sold was 37 more than the number of days passes sold.
20x + 30y = 17610
20x + 30(x + 37) = 17610
20x + 30(x+ 37) = 17610
20x + 30x + 1110 = 17610
50x = 16,500
x = 16,500 / 50
x = 330
y = x + 37
y = 330 + 37
y = 367
Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.
Learn more about the System of equations here:
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#SPJ2
guys pls help me!!!!!!!
Answers
Answer:
n=27
Step-by-step explanation:
(n+6)° + (2n+5)° +90° = 180°
3n+9=90
3n=81
n=27
Sorry if I did it wrong
Expand each expression and simplify your answers as far as possible
1. 8x - 2(3 - 2x)
2. 4x + 5-3(2x - 4)
Answers
Answer:
1. 12x - 6
2. -2x + 17
Step-by-step explanation:
1.
8x - 2(3 - 2x)8x - (-2)(3) + (-2)(-2x) 8x + (-6) + 4x(8x + 4x) + (-6)12x - 62.
4x + 5 + (-3)(2x) + (-3)(-4) 4x + 5 - 6x + 12(4x - 6x) + (5 + 12)-2x + 17Answer:
[tex]\boxed{\sf 12x-6}[/tex]
[tex]\boxed{\sf -2x+17}[/tex]
Step-by-step explanation:
[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]
Apply Distributive Property to multiply -2 by (3-2x):
→ [tex]\sf 8x-6+4x[/tex]
Combine like terms:
→ [tex]\sf (8x+4x)[/tex]
[tex]\sf 12x[/tex][tex]\boxed{\sf 12x-6}[/tex]
______________________________
[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]
Apply Distributive property:
Multiply -3 by (2x-4):
[tex]\sf 4x+5-6x+12[/tex]
Combine like terms:
→[tex]\sf (4x+(-6x))[/tex]
[tex]\sf -2x[/tex]→ [tex]\sf (5+12)[/tex]
[tex]\sf 17[/tex][tex]\boxed{\sf -2x+17}[/tex]
_____________________________
Find the missing angle measures.
What is m∠2?
a 40
b 60
c 50
d 100
Answers
If it is 7:00 AM at letter F, what time is it at letter A?
5:00 AM
5:00 PM
4:00 AM
4:00 PM
Answers
Answer:
The aswer is 1:00 AM to 1:00 PM.
Step-by-step explanation:
95 people went to a convention in San Francisco. They took three large vans and 50 people traveled by car. How many people fit in each large van. Write an equation first, then solve
Answers
Answer:
15
Step-by-step explanation:
95 - 50 = 45
45/3 = 15
