Answers
(A) j || k by the converse of the same-side interior angle Theorem is your answer
Note that " j || k" means that line j & k are parallel (True)
Note that both ∠1 & ∠2 are on the same side, and that they are located inside the parallelogram produced by the transversal lines (Same Side - Interior Angle Theorem)
Therefore, (A) is your answer
---------------------------------------------------------------------------------------------------------------------
~Rise Above the Ordinary
Lines are parallel if they have the same slope, not necessarily if the sum of their angles equals to 180.
Explanation:The statement 'm1 + m2 = 180' typically holds true for two lines that are straight, where m1 and m2 are the angles measured from each line to a common line. If the sum of m1 and m2 adds up to 180º, the lines are supplementary, meaning they add up to form a straight line. However, they are not parallel.
In the context of lines that are parallel, they would have the same slope, but not necessarily the same angle. For instance, in a coordinate plane, the lines y = 4x + 1 and y = 4x - 3 are parallel because they have the same slope (4), but their y-intercepts are different.
Learn more about Parallel Lines here:https://brainly.com/question/29762825
#SPJ3
Related Questions
F (x) = -7x^2 g(x)=-35x^2+5
What transformations change the graph of f(x) to the graph of g(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5 and translated down 5 units.
B. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated down 5 units.
C.The graph of g(x) is the graph of f(x) stretched vertically by a factor of 1/5
and translated up 5 units.
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.
Answers
Answer:
D
Step-by-step explanation:
hello!!! the correct answer for this problem is D
Answer:
D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5
and translated up 5 units.
Step-by-step explanation:
need help with these two questions.
Answers
Circumference varies directly with radius means:
[tex]\frac{C}{r} = k[/tex]
[tex]\frac{9.42}{1.5} = k[/tex]
6.28 = k
So, the new equation is:
[tex]\frac{C}{r} = 6.28[/tex]
[tex]\frac{C}{9} = 6.28[/tex]
[tex](9)\frac{C}{9} = (9)6.28[/tex]
C = 56.52
****************************************
paycheck varies directly with hours means:
[tex]\frac{P}{h} = k[/tex]
[tex]\frac{52.50}{6} = k[/tex]
8.75 = k
So, the new equation is:
[tex]\frac{P}{h} = 8.75[/tex]
[tex]\frac{P}{11} = 8.75[/tex]
[tex](11)\frac{P}{11} = (11)8.75[/tex]
P = $96.25
PLEASE HELP WILL GIVE BRAINLIEST, THANKS, AND RATE 5 STARS!!!
Answers
First answer, this is because if you were to substitute the x and y variables which are the height and days the plant grew, then the 1st answer would be the answer
below is the graph of f(x)= ln (x) how would you describe the graph of g (x) = 1/3 ln (x)
Answers
Graph of f(x)=ln(x) is missing but we can still answer this problem.
We just have to explain about what will happen if f(x)=ln(x) changes into g(x)=1/3 ln(x)
To find that compare both functions.
We see that ln(x) gets multiplied by 1/3 to produce graph of 1/3ln(x)
there multiplifaction factor 1/3 lies between 0 and 1.
Hence graph of f(x) will compress vertically by factor of 1/3 to produce graph of g(x).
So for the final answer we will write f(x) compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
You can check attached file for more related rules
Answer:
compress vertically by factor of 1/3 to produce graph of g(x)=1/3 ln(x)
Step-by-step explanation:
I'd appreciate it if anyone could help! :)
Which graph represents the function?
Answers
Answer: Upper right corner
=========================================================
How I got that answer:
The line y = x goes through (0,0) and (1,1). You would normally extend this line out as far as you can in both directions. However, the inequality x < -1 says you can only graph this if x is less than -1. We will not graph any part of the graph that is beyond x = -1 to the right. So we only have a small piece of it. The left piece of y = x. There is an open hole at the endpoint.
Similarly, y = -x is only graphed if x >= -1. We have a closed endpoint here. This graph goes through (0,0) and (1,-1). We erase the portion that is to the left of x = -1.
Doing all this leads to the upper right corner choice as our answer. The bottom right corner is close to the answer, but the open and closed endpoints are in the wrong spots.
Please help .!!!!!!!!!!!!!!!!!!!
Answers
((V/π)(3/4))1/3 = R so I would say possibly the second one
Circumference of a circle with diameter of 12.5 feet??
Answers
[tex]\pi \: d[/tex]
[tex]\pi = 3.14[/tex]
So:
C = 3.14 × 12.5 feet
C = 39.25 feet
What is the next term in the pattern shown below? 4.5, 9, 13.5, 18
Answers
22.5
note that the difference (d ) between each term is
d = 9 - 4.5 = 13.5 - 9 = 18 - 13.5 = 4.5
to obtain the next term add 4.5
next term = 18 + 4.5 = 22.5
The next term in the pattern is 22.5.
To find the next term in the pattern, it's essential to identify the underlying rule or mathematical operation that governs the progression of the given numbers.
In this case, we can observe that the sequence is increasing by a consistent difference of 4.5 between each consecutive term.
Starting from 4.5 and adding 4.5 successively, we get:
4.5 + 4.5 = 9
9 + 4.5 = 13.5
13.5 + 4.5 = 18
The next term would be:
18 + 4.5 = 22.5
So, the next term in the pattern is 22.5.
In this sequence, each term is obtained by adding 4.5 to the previous term, resulting in an arithmetic progression.
If you continue this pattern, you will keep adding 4.5 to each subsequent term to find the following numbers in the sequence.
For similar question on pattern.
https://brainly.com/question/28580633
#SPJ3
Paulo took out a $900 loan using an 12% simple interest rate for a period of 9 months. What the effective annual interest rate for the loan? Give your answer as a percentage to the nearest tenth of a percent.
Answers
Answer:
12.68%
Step-by-step explanation:
To calculate effective annual interest rate we need to use the following formula:
[tex]i=(1+\frac{r}{m})^m-1[/tex]
Where, 'i' is the effective annual interest rate
'r' is the annual rate of interest
'm' is the frequency of compounding.
When there is continuous compounding the effective annual rate uses the following formula:
[tex]i=e^r-1[/tex]
In our case we would are assume that there is continuous compounding since no information regarding the frequency of compounding is given:
Plugging r=12%=0.12, we get:
[tex]i=e^{0.12}-1[/tex]
[tex]i=1.1274-1=0.1274[/tex]
[tex]i=0.1274[/tex]
[tex]i=12.74\%[/tex]
Therefore, the effective annual interest rate is 12.74%.
Answer:
13.2
Step-by-step explanation:
Triangle SBA has coordinate S(15,-8), B(-2,21), A(0,0). If the height of the triangle for the corresponding base sb is 8.89 units, then determine the perimeter and area of SBA.
Answers
Answer:
Perimeter of triangle = 71.72 unit.
Area of triangle = 149.44 unit²
Explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex].
So we have SB = [tex]\sqrt{(-2-15)^2+(21-(-8))^2}=\sqrt{1130} =33.62[/tex]unit
BA = [tex]\sqrt{(0-(-2))^2+(0-21^2)}=\sqrt{445} =21.10[/tex]unit
AS = [tex]\sqrt{(15-0)^2+(-8-0)}=\sqrt{289} =17[/tex]unit
So perimeter of triangle = 33.62 + 21.10 + 17 = 71.72 unit.
We have SB = Base = 33.62 unit and Perpendicular height = 8.89 units.
Area = 0.5 x Base x Perpendicular height.
= 0.5 x 33.62 x 8.89 = 149.44 unit²
The perimeter of the triangle SBA is approximately 66.91 units and the area is approximately 131.06 square units.
Explanation:To find the perimeter of triangle SBA, we need to find the lengths of the three sides first. We can use the distance formula to calculate the length of each side. Using the coordinates of S(15,-8), B(-2,21), and A(0,0), we find that SB ≈ 29.47 units, BA ≈ 18.19 units, and AS ≈ 19.25 units. The perimeter is the sum of these three lengths, which is approximately 66.91 units.
To find the area of triangle SBA, we can use the formula: area = 1/2 * base * height. The base is the length of SB, which is approximately 29.47 units, and the height is given as 8.89 units. Plugging these values into the formula, we get the area ≈ 131.06 square units.
Learn more about Perimeter and Area here:https://brainly.com/question/11957642
#SPJ3
Select the point that is a solution to the system of inequalities
Answers
Answer:
The answer is (1,6) so its either A or C since they both have (1,6)
Step-by-step explanation:
I think the answer is both A and C since there the same so the answer is 1,6
Which statement is true?Which statement is true? The value of money that you save increases over time the value of money remains constant over time the present value of money is greater than its future value
Answers
The value of money that you save increases over time is the right answer
In this diagram how many points are coplanar with points A , B and R ?
Answers
The points A , B and R are coplanar with point C and E , Option B is the correct answer.
What is the meaning of Co planar ?Two points are called co planar when they lie on the same surface , for example all the points in a circle are co planar.
In the given figure The points A , B and R are co planar with point C and E , C and E are not co planar with each other .
Therefore Option B is the correct answer.
To know more about Coplanar
https://brainly.com/question/2603508
#SPJ2
Toni can carry up to 18 1b in her backpack. Her lunch weighs 1 1b, her gym clothes weigh 2 1b, and her books (b) weigh 3 1b each. How many books can she carry in her backpack?
Answers
1+2 = 3
Then we find how much weight left that she can carry.
18-3 = 15
Now we divide by the weight of each book to see how many she can carry.
15/3 is 5.
She can carry 5 books!
Use the order of operations to simplify this expression 4 + 0.8 x 1.5 - 3
Answers
You would use PEMDAS to solve this:
0.8 x 1.5 = 1.2
4 + 1.2 - 3
5.2 - 3
2.2 is your answer
Answer:
the answer is 2.2
Leticia Cox is a biochemist. She is testing two different types of drugs that induce cell growth. She has selected two cultures of 1000 cells each. To culture A, she administers a drug that raises the number of cells by 200 each day and every day thereafter. Culture B gets a drug that increases cell growth by 8% each day and every day thereafter. Assuming no cells die, how many cells will have grown in each culture by the end of the seventh day? a. Culture A: 1400 cells Culture B: 713 cells c. Culture A: 713 cells Culture B: 1400 cells b. Culture A: 800 cells Culture B: 517 cells d. Culture A: 517 cells Culture B: 800 cells
Answers
1. Culture A.
Since the number of cells increases by 200 each day and every day thereafter, then after seven days the number of cells will increase by
[tex]200\cdot 7=1,400.[/tex]
2. Culture B.
The initial number of cells was 1,000. Since the number of cells increases 8% each day and every day thereafter, then after seven days the number of cells will be
[tex]1,000\cdot (1.08)^7\approx 1,713.[/tex]
The number of cells that have grown by the end of the seventh day is
1,713-1,000=713.
Answer: option A -- Culture A: 1400 cells Culture B: 713 cells
Answer:
A is correct: Culture A: 1400 cells
Culture B: 713 cells
Step-by-step explanation:
Correct on Edge 2020 Quiz
The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. There are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year. How many times does the heart beat in one year?
Answers
Answer:
4.2*10^7
Step-by-step explanation:
Khan Academy
The human heart beats approximately 4.2 ⋅ 10^7 times in one year.
Explanation:To calculate the number of times the human heart beats in one year, we need to multiply the average number of beats per day by the number of days in a year. The average human heart beats 1.15 ⋅ 105 times per day, and there are 3.65 ⋅ 102 days in one year. So, the number of times the heart beats in one year is:
1.15 ⋅ 105 times/day ⋅ 3.65 ⋅ 102 days/year = 4.1975 ⋅ 107 times/year
Learn more about human heart beats in a year here:https://brainly.com/question/29115927
#SPJ3
What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.
This is my answer and work, is this right? And how would I put this in interval notation.
-2/3(2x - 1/2) ≤ 1/5x - 1
2x – 1/2 ≥ 1/5x +3/2
2x ≥ 1/5x + 2
9/5x ≥ 2
x ≥ 10/9
Answers
ANSWER
[tex]-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1[/tex]
Multiply through by LCM of 15
[tex](15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)[/tex]
[tex] -10(2x-\frac{1}{2})\le 3x-15[/tex]
Expand brackets to obtain,
[tex] -20x+5\le 3x-15[/tex]
Group like terms
[tex] 15+5\le 20x+3x[/tex]
[tex] 20\le 23x[/tex]
[tex] \frac{20}{23}\le x[/tex]
[tex]x\ge \frac{20}{23}[/tex]
In interval form it is written as
[tex] [\frac{20}{23}, \infty)[/tex]
The correct solution to the inequality is x ≥ 20/23, written in interval notation as: [20/23, +Infinity).
Explanation:In this mathematical inequality problem, your steps are correct until you get to -2/3(2x - 1/2) ≤ 1/5x - 1. Thereafter, however, your proceedings seem to be erroneous. Let's correct the steps:
First, distribute -2/3 to both 2x and -1/2 to get -(4/3)x + 1/3 ≤ 1/5x - 1. Second, we'll get rid of the fractions by multiplying the whole inequality by 15 (a common multiple of 3 and 5), resulting in -20x + 5 ≤ 3x - 15. Then, add 20x to both sides to get 5 ≤ 23x - 15. Lastly, add 15 to both sides, so we end up with 20 ≤ 23x, or in simplified form x ≥ 20/23.
So the solution to the inequality is x ≥ 20/23, which in interval notation would be written as: [20/23, +Infinity).
Learn more about Linear Inequalities here:https://brainly.com/question/29068591
#SPJ3
What is the function rule for the line?
Choices are in the screenshot! I'd appreciate the help! :)
Answers
y = mx+b
y = f(×)
b = y-intercept
m = slope (slope = rise/run, rise over run)
rise is y-axis
run is x-axis
The y-intercept is (0,-2)
So now we know that one of the answers must have -2 in it
b = -2
m= rise/run = -2/3
The answer is:
[tex]f(x) = - \frac{2 }{3 } x - 2[/tex]
Answer:its correct got a 100
Step-by-step explanation:
An angle measures 2.8° less than the measure of a complementary angle. What is the measure of each angle?
Answers
Answer:
43.6°, 46.4°
Step-by-step explanation:
Let x represent the smaller angle. Then the complementary angle is (90°-x). The problem statement tells us the relation is ...
x = (90°-x) -2.8°
2x = 87.2° . . . . . add x, collect terms
x = 43.6° . . . . . . divide by 2
Then the complementary angle is ...
90°-x = 46.4°
The measures of the angles are 43.6° and 46.4°.
The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise. Which statement best describes the relationship between heart rate and time during exercise? The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes. The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes. The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.
Answers
We know that
when we start exercise our hear beats starts increasing gradually
because blood flowing rate becomes higher
and it keeps increasing upto a certain limit
because for normal human beings maximum heart rate is 135 beats per minute
and it remains constant there for few minutes
and as we slow down slowly
It will start decreasing gradually and then becomes normal
we can see the graph
so,
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes..........Answer
Answer:The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes. Positive
Step-by-step explanation:
At a basketball game, for every basket team A scored, team B scored 4 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is
(A) 1 to 3
(B) 2 to 3
(C) 1 to 4
(D) 4 to 1
Answers
since Team A makes 1 basket while Team B 4 baskets (in response to that 1 basket)
The dimensions of a dollar bill are 6.125 inches by 3.375 inches. However, a dollar bill created 1891 to 1928 had dimensions of 7.3125 inches by 3.125 inches. Are the two dollar bills similar?
Answers
[tex] \frac{6.125}{3.375} = \frac{7.3125}{3.125} [/tex]
1.814 =2.34
Since these values are not equal, they are not similar
The two dollar bills are not similar because the ratios of their corresponding dimensions are not the same.
To determine if the two dollar bills are similar, we need to check if the ratios of the corresponding dimensions are the same.
The dimensions of the current dollar bill are 6.125 inches by 3.375 inches. The dimensions of the older dollar bill are 7.3125 inches by 3.125 inches.
Calculate the ratio of the length to the width for the current dollar bill: 6.125 / 3.375 ≈ 1.8148Calculate the ratio of the length to the width for the older dollar bill: 7.3125 / 3.125 ≈ 2.3400Since the ratios (1.8148 and 2.3400) are not equal, the two dollar bills are not similar.
Drag a statement or reason to each box to complete this proof.
Answers
Answer:
The required answer is shown below:
Step-by-step explanation:
Consider the provided equation.
Statement Reason
1. [tex]5(x+6)=x+38[/tex] Given
2. [tex]\bold{5x+30=x+38}[/tex] Distributive property
3. [tex]5x+30-30=x+38-30[/tex] Subtraction property of equality
4. [tex]\bold{5x=x+8}[/tex] Simplifying
5. [tex]\bold{5x-x=x+8-x}[/tex] Subtraction property of equality
6. [tex]\bold{4x=8}[/tex] Simplifying
7. [tex]\frac{4x}{4}=\frac{8}{4}[/tex] Division property of equality
8. [tex]x=2[/tex] Simplifying
Hence the required answer is shown above.
A mouse scurries across your kitchen floor at 2.0 feet per second. How many miles can the mouse travel in 1.5 hours (rounded to the nearest tenth)?
Answers
Answer: The mouse can travel 2.045 miles .
Step-by-step explanation:
Speed of mouse = 2.0 feet per second.
Time traveled by mouse = 1.5 hours = 1.5 × 3600 seconds [ as 1 hour = 3600 seconds]
Distance traveled by mouse in 1.5 hours = speed × time
= 2.0 × 1.5 × 3600 = 10800 feet.
We know that
1 mile = 5280 feet
then 1 foot = 1/5280 miles
Distance in miles = [tex]10800\times \frac{1}{5280} miles=2.045miles[/tex]
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA
Distance = speed × time
[tex]1foot = \frac{1}{5280} miles[/tex]
Convert feet per second into miles per second
[tex]= \frac{2.0}{5280}[/tex]
As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
= 5400 second
put all these value in the above formula
we get
[tex]Distance= \frac{2.0\times 1.5 \times 3600}{5280}[/tex]
[tex]Distance= \frac{10800}{5280}[/tex]
= 2.04 (approx) miles
= 2.0 miles
Hence proved
Need help ASAP will give brainlest
Answers
The answer would be translitive because if a=b and b=c then a
Is equal to c
That’s why the answer is translitive
Have you learned about translitive
If yo haven’t then the other answer would be the zero product
LOTS OF POINTS!!!! URGENT!!!!
Describe the continuity or discontinuity of the graphed function.
Answers
Answer:
There are two discontinuities, one in the point (-2,2) and another on (-1,3).
Step-by-step explanation:
The discontinuity in (-2,2) is referred to as a removable discontinuity because this point is defined elsewhere.
The discontinuity in (-1,3) is called a jump discontinuity because it seems to "jump" from one point and continue at another.
At x=-1, jump discontinuity
On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by the function f(d) = 1.11√d. Part a: determine f(2) and explain what it represents.
Answers
Answer:
The value of f(2)≈1.57
The time it takes an object to fall 2 feet is 1.57 seconds.
Step-by-step explanation:
Consider the provided function.
[tex]f(d) = 1.11\sqrt{d}[/tex]
It takes for an object to fall a distance, d, in feet,
We need to determine f(2).
Substitute the value d = 2 in the above function.
[tex]f(2) = 1.11\sqrt{2}[/tex]
[tex]f(2)\approx 1.57[/tex]
The value of f(2)≈1.57
The time it takes an object to fall 2 feet is 1.57 seconds.
Given: ABCD ∥gram, BK ⊥ AD , AB ⊥ BD AB=6, AK=3 Find: m∠A, BK, AABCD
Answers
1. Consider right triangle ABK. The hypotenuse AB is 6 un. and the leg AK is 3 un. Since the leg is half of the hypotenuse, then the opposite to the leg angle is 30°. This means that m∠ABK=30°. Then m∠BAK=90°-30°=60°.
2. By the Pythagorean theorem,
[tex]AB^2=AK^2+BK^2,\\\\6^2=3^2+BK^2,\\\\BK^2=36-9,\\\\BK^2=27,\\\\BK=3\sqrt{3}\ un.[/tex]
3. Consider right triangle ABD. In this triangle AD is hypotenuse and m∠ADB=90°-m∠BAD=90°-60°=30°. Then the leg AB opposite to the angle 30° is half of the hypotenuse and AD=12 un.
4. The area of parallelogram is
[tex]A_{ABCD}=AD\cdot BK=12\cdot 3\sqrt{3}=36\sqrt{3}\ sq. un.[/tex]
Use the graph below to answer the question that follows: trig graph with points at 0, 2 and pi over 2, 0 and pi, negative 2 and 3 pi over 2, 0 and 2 pi, 2 and 5 pi over 2, 0 and 3 pi, negative 2 What trigonometric function represents the graph?
Answers
[tex](0,\ 2);\ \left(\dfrac{\pi}{2},\ 0\right);\ (\pi,\ -2);\ \left(\dfrac{3\pi}{2},\ 0\right);\ (2\pi,\ 2);\ \left(\dfrac{5\pi}{2},\ 0\right);\ (3\pi,\ -2)\\\\\text{Look at the picture}\\\\Answer:\ \boxed{y=2\cos(x)}[/tex]