Is line L parallel to line M? Explain.
Yes, alternate interior angles are congruent.
No; alternate interior angles are not congruent.
No; corresponding angles are not congruent.
Yes; corresponding angles are congruent.
Answer:
No; corresponding angles are not congruent
Step-by-step explanation:
we know that
[tex]124\°[/tex] and [tex]118\°[/tex] are corresponding angles
The lines l and m are not parallel
because
[tex]124\°\neq 118\°[/tex]
Input the equation for the following line in standard form Ax + By = C. Reduce all fractional answers to lowest terms.
A line with y-intercept of 2 that is parallel to 2x + y = -5.
Which expressions are equivalent to the one below? Check all that apply.
10x
A. 50x/5x
B. 10 • 10x - 1
C. 10 • 10x + 1
D. 50x/5
E. (50/5)x
F. x5
The expressions equivalent to 10x are 50x/5 and (50/5)x as they both simplify to 10x. The other options do not simplify to 10x. Hence option D and E are correct.
To determine which expressions are equivalent to 10x, we need to simplify each option. Let us consider the options one by one:
A. 50x/5xTo solve this a simple division is required.
⇒ (50x/5x)= 10÷(1) = 10
⇒ 10 is not equivalent to 10x.
B. 10 • 10x - 1⇒ 100x - 10
This is not equivalent to 10x.
C. 10 • 10x + 1⇒ 10 • 10x • 10 = 100x+10 (Not equivalent to 10x)
D. 50x/5⇒ (50/5)x = 10x (Equivalent to 10x)
E. (50/5)x = 10x (Equivalent to 10x)F. x⁵ (Not equivalent to 10x)The correct answers are D and E, both of which simplify to 10x.
1. The graph shows the miles per gallon of gasoline a car uses on a trip.
What does the rate of change represent in this situation?
Select from the drop-down menu to correctly complete the sentence.
The rate of change represents
OPTIONS:
a. the number of miles traveled for every one gallon of gas used
b. the number of gallons of gas used for every 1 mile
c. the distance a car travels every hour
GRAPH:
7. Which ordered pairs match the table?
x 0 1 2 1 3
y 2 2 3 4 1
(0, 2), (1, 2), (2, 3), (1, 4), (3, 1)
(0, 2), (0, 2), (2, 2), (2, 3), (2, 4)
(1, 2), (1, 1), (2, 0), (0, 4), (2, 1)
(2, 0), (2, 1), (3, 2), (4, 1), (1, 3)
The rate of change in miles per gallon for a car trip represents the number of miles the car can travel per gallon of gasoline used. The ordered pairs (0, 2), (1, 2), (2, 3), (1, 4), (3, 1) accurately correspond with the values provided in the given table.
Explanation:In the given situation, the rate of change of a graph showing the miles per gallon of gasoline a car uses on a trip would represent the number of miles traveled for every one gallon of gas used. This is because the rate of change in this context quantifies how much distance can be covered (in miles) using one unit of gasoline (in gallon). For instance, if the rate of change is 30, it indicates that the car can travel 30 miles using just one gallon of gasoline.
For the second part of your question, matching the ordered pairs with the table, the correct match would be (0, 2), (1, 2), (2, 3), (1, 4), (3, 1). This set of pairs corresponds accurately to the values given in your table for x and y. To understand this, you can match each x value with its corresponding y value in the table. For example, when x is 0, y is 2 - and this gives you the ordered pair (0, 2).
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steps on why 3-0.3=2.7
davis donates 4/13 of his paycheck to his favorite charity. if he donated $26.80 what is the amount of his paycheck?
What is the average rate of change of f(x), represented by the graph, over the interval [-1, 1]
The average rate of change of f(x) over the interval [-1, 1] is 5.
To find the average rate of change of f(x) over the interval [-1, 1], we use the formula:
[tex]\[ \text{Average Rate of Change} = \frac{\text{Change in } f(x)}{\text{Change in } x} \][/tex]
First, we find the change in f(x) over the interval [-1, 1]. The function values at x = -1 and x = 1 are f(-1) = -5 and f(1) = 5 respectively. So, the change in f(x) is 5 - (-5) = 10.
Next, we find the change in x over the same interval. The interval [-1, 1] has a width of 1 - (-1) = 2.
Finally, we divide the change in f(x) by the change in x to get the average rate of change:
[tex]\[ \text{Average Rate of Change} = \frac{10}{2} = 5 \][/tex]
So, the average rate of change of f(x) over the interval [-1, 1] is 5.
In triangle ABC, m∠A = 110º, m∠B = 45º and m∠C = 25º. Which of the numbered choices correctly relates the lengths of the sides of the triangle?
1) AB < BC < CA 2) AC < BC< AB
3) AB < AC < BC 4) BC < AC < AB
The lengths of the sides of the triangle ABC is AB<AC<BC. Therefore, option 4 is the correct answer.
What is the triangle inequality theorem?If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
Given that, in triangle ABC, m∠A = 110°, m∠B = 45° and m∠C = 25°.
Opposite to m∠A is side BC, opposite to m∠B is side AC and opposite to m∠C is side AB.
Here, largest angle is ∠A, so the longer side is BC and
Smaller angle is ∠C, so the shortest side is AB and
Now, AB<AC<BC
Therefore, option 4 is the correct answer.
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what is the median of this data set
21 63 84 126
The answer is provided in the image attached.
Determine which two values the following expression is between.
√37
A. 7 and 8
B. 5 and 6
C. 4 and 5
Answer:
none there would be an answer if it was 3√7
Step-by-step explanation:
Every week (w) Sandra will save $10. Which algebraic expression could Sandra use to calculate how much money she has saved after any number of weeks
What is 37/15 as a mixed numbers?
h(x)=(g o f)(x)=1/(x+3)^2 which of the fallowing could be a possible decomposition of h(x)? A. f(x)=1/x^2;g(x)=x+3 B. f(x)=x+3; g(x)=1/x^2 C.f(x)=x^2; g(x)=x+3 D. f(x)=1/x;g(x)=x+3
...?
A ball is thrown at a 30 degree angle above the horizontal with a speed of 10 ft/s. After 0.50s the horizontal component of it's velocity will be ____? ...?
The horizontal component of the velocity of a ball thrown at a 30 degree angle above the horizontal with an initial speed of 10 ft/s will remain approximately 8.66 ft/s after 0.50s, assuming no air resistance.
Explanation:A ball is thrown at a 30 degree angle above the horizontal with a speed of 10 ft/s. After 0.50s the horizontal component of its velocity will remain the same, assuming no air resistance, because horizontal velocity in projectile motion is constant if air resistance is ignored. The vertical component will change due to gravity, but that does not affect the horizontal component.
To find the horizontal component of the velocity, we can use the cosine of the launch angle:
Horizontal velocity (v_x) = initial speed * cos(launch angle)
So, v_x = 10 ft/s * cos(30 degrees)
= 10 ft/s * (√3/2)
≈ 8.66 ft/s
As there is no horizontal acceleration in ideal projectile motion, after 0.50s, the horizontal component of the ball's velocity will still be approximately 8.66 ft/s.
Heather is collecting beanbag animals. she started her collection with six beanbag animals just eight weeks ago. during each of those 8 weeks, she has been given two additional beanbag animals. how many does she have at the end of the 8th week?
The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.
Answer:
The absolute value parent function is symmetric with respect to the y-axis.
The graphs of f(x) = 2|–x| and f(x) = 2|x| are identical because the absolute value of negative x is a reflection across the y-axis.
If you substitute the three given points into both functions, they produce true statements.
Step-by-step explanation:
Which of the following also describes a tetrahedron?
a. regular prism
b. regular pyramid
c. regular polygon
d. a cube ...?
Find the derivative of cos2theta.
The regular selling price of the recliner at furniture depot is $289 the markdown room is 33% what is this sale price
What will your answer be if you round 16.2 to the nearest whole number
Final answer:
To round 16.2 to the nearest whole number, check the first digit after the decimal. It's less than 5, so round down to 16.
Explanation:
When rounding 16.2 to the nearest whole number, you need to look at the first digit after the decimal point, which is 2 in this case. If that digit is 5 or greater, you would round up. If it is less than 5, you round down. Since 2 is less than 5, we round down, so the whole number that 16.2 gets rounded to is 16.
What is half of 1 and 1/4 cups?
The value of the phrase is 5/8.
What are arithmetic operators?A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of them.
We use these fundamental mathematical operations every day (plus, minus, and). Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.
Given a phrase half of 1 and 1/4 cups,
1 and 1/4 = 1 + 1/4 = 5/4
and half of 5/4 is
1/2(5/4)
1/2 x 5/4 = 5/8
Hence the value is 5/8.
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Consider the trinomial 9x2 + 21x + 10. What value is placed on top of the X? What value is placed on the bottom of the X? What is the factored form of 9x2 + 21x + 10?
Answer: 1) Value is placed on top of the X =90
2) Value is placed on the bottom of the X =21
3) Factored form will be (3x+5)(3x+2)
Step-by-step explanation:
Since we have given that
[tex]9x^2 + 21x + 10[/tex]
As we know the quadratic form :
[tex]ax^2+bx+c=0[/tex]
1) Value is placed on top of the X is given by
[tex]a\times c=9\times 10=90[/tex]
2) Value is placed on the bottom of the X is given by
[tex]b=21[/tex]
3) Factorised form:
We will use "Split the middle term":
[tex]9x^2 + 21x + 10\\\\=9x^2+15x+6x+10\\\\=3x(3x+5)+2(3x+5)\\\\=(3x+2)(3x+5)[/tex]
Hence, Factored form will be
(3x+5)(3x+2)
a rectangular pool measures 4 yd by 5yd a concrete deck of uniform width is constructed around the pool. the deck anf pool togeyher cover and area of 90 yd. how wide is the deck?
Final answer:
To find the uniform width of the deck around a 4 yd by 5 yd rectangular pool, with the combined area of the deck and pool being 90 square yards, we form a quadratic equation based on the dimensions. After solving the equation, we obtain the width of the deck as the positive solution.
Explanation:
The student has a rectangular pool and wants to build a concrete deck of a uniform width around it such that the combined area of the pool and deck is 90 square yards. To solve this problem, we first need to recognize that the area of just the pool is length times width, which is 4 yd by 5 yd. This gives us an area of 20 square yards for the pool alone.
Next, we consider that the deck surrounds the pool uniformly. If we let 'w' be the width of the deck, then the new length and width of the pool plus the deck becomes (4 + 2w) yd and (5 + 2w) yd respectively, since the deck is added to all four sides of the pool.
The combined area is therefore (4 + 2w) * (5 + 2w) = 90 square yards. Expanding the left side of the equation and simplifying, we get 20 + 18w + 4w2 = 90. This simplifies further to 4w2 + 18w - 70 = 0 when we subtract 90 from both sides.
To solve for 'w', we factor the quadratic equation or use the quadratic formula. Upon factoring, we find that w could have two potential values (one positive and one negative), but since width cannot be negative, we discard the negative value. The positive value gives us the width of the deck.
Nina bought a sweater for 30% off of the original price. The original price was $56. How much did Nina pay for the sweater? Show your work.
12 roses cost 18.96 how much is 5 roses
Kelly invested $1,500 in the stock market on january 1. she lost 1/3 of it by the end of january and 2/5 of the remaining amount by the end of february. how much did she have left?
Write the product of 7x7x7x7 in exponential form.
Answer:
7^4
Step-by-step explanation:
Given the table of candy distribution below. find P(Not blue). the probability of selecting anything but an blue candy at random from a large bag.
Red=0.13 Orange=0.20 Yellow=? Green=0.16 Blue=0.24 Brown=0.13
Since, probability of selecting a blue candy and anything but a blue candy are mutually exclusive events, the probability of selecting anything but an blue candy at random from a large bag = P(Not blue) = 0.76
What are mutually exclusive events?In logic and probability theory, two events are mutually exclusive or disjoint if they cannot both occur at the same time.
P(Blue) + P(Not blue) = 1 (mutually exclusive events)
0.24 + P(Not blue) = 1
P(Not blue) = 1 - 0.24 = 0.76
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The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)
The lengths of the legs of a right triangle are 15 cm and 36 cm.
What is the length of the hypotenuse?
A.
57 centimeters
B.
51 centimeters
C.
39 centimeters
D.
21 centimeters
Answer: C 39 cm
Step-by-step explanation: