When a line is rotated, it is rotated about a fixed point to its new position. Line AB must turn 180 degrees about point A to coincide with line AE.
The complete question is that we determine the angle which AB will turn to, about point A to align with AE (see attachment for the figure)
Line AB and AE form a straight line. This means that the angle between these two lines on either side of point A is [tex]180^o[/tex]
So for line AB to coincides with line AE, the line AB must turn 180 degrees about point A.
Hence, option (B) is correct.
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What is the cost of buying 5 kg of cheese worth
$9.00 per kg?
Cost of 1 kg = $9
So, cost of 5 kg = $9 × 5 = $45
How would you define a pair of parallel lines?
Answer:
We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
Hope this helps <3
find the missing side lengths answers are in simplest radical form with the denominator rationalized
Explanation:
For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
So this means n = 10/2 = 5
Because n = 5, there's only one answer choice that fits and it's choice C.
Solve for u. 42 = –7(u + 41)
Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which statement is correct?
Your answer:
Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.
Both Amy and Fraser walk distances equal to the radius of the lawn.
Both Amy and Fraser walk distances equal to the diameter of the lawn.
Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.
Answer: the answer is
the option
B) Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.
Step-by-step explanation:
In ΔABC, the measure of ∠C=90°, AC = 40, BA = 41, and CB = 9. What is the value of the tangent of ∠B to the nearest hundredth? *WILL MARK BRAINLIEST*
Answer:
4.44
Step-by-step explanation:
The tangent of B is the relation of the opposite cathetus to the lying cathetus
tg B= AC/CB= 40/9= 4.44
The value of the tangent of angle B is 4.4.
What is the tangent of an angle?In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Given that, a right triangle Δ ABC, the measure of ∠C = 90°, AC = 40, BA = 41, and CB = 9. We need to find the value of the tangent of ∠B,
So, here,
The opposite side = AC and the adjacent side = CB
So, tan B = AC / CB = 40/9 = 4.4
Hence, the value of the tangent of angle B is 4.4.
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Choose a value for n that will make the sum negative.
15 + n
please help! look at picture!
Answer:
[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Step-by-step explanation:
2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]
1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]
[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]
Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.
Hope this helps!
In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.
Find the common difference. Give only the exact value as your answer.
Answer:
d = 4
Step-by-step explanation:
a7 = -9
a19 = 39
We know the formula for an arithmetic sequence is
an = a1+d(n-1)
Using the givens:
a7 = -9 = a1 +d(7-1)
a19 = 39 =a1 +d(19-1)
Subtracting these equations
-9 = a1 +d(6)
39 =a1 +d(18)
------------------------
-48 = 0 -12 d
Divide by -12
4 =d
Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?
Answer:
$1857.60
Step-by-step explanation:
Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.
Answer:
Hi jaajajajajaja
Step-by-step explanation:
Hi Hi aaaaaaaaaaaaaaaaa
8abx−10a2b+12ax2−15a2x plz regroup and factories this expression
Answer:
2x (4a-5b)2+ 3x (3a-4b)
I hope this answer was helpfull for you
For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?
E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and came up with two best ones o 4.8% simple interest for 2 years o 4.1 % / year compounded semi- annually for 2 years Compare both the plans and find out which is the best to choose
Answer:
Amount she would have in 2 years at a simple interest of is
$5000 + ($5000 x 0.048 x 2) = $5480
Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :
$5000 x ( 1 +0.041/2)^4 = $5422.78
the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose
Step-by-step explanation:
Future value with simple interest = principal + interest
Interest = principal x interest rate x time
0.048 x 5000 x 2 = 480
future value = $480 + 5000 = $5480
The formula for calculating future value with compounding:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78
could someone explain how to figure this out (marking brainliest to the most helpful answer) I will report fakes.
express 5√72 in simplest radical form.
Answer:
30*sqrt(2)
Step-by-step explanation:
5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)
The mason will build a wall that uses 36 bricks in each row. The wall will be 140 rows high. Each brick weighs 4 pounds. What is the total weight of all the bricks?
Answer:
20,160 pounds
Step-by-step explanation:
bricks in each row * number of rows * pound of each brick
Answer:
20160 lbs
Step-by-step explanation:
To find the amount of bricks, multiply 36 by 140 which equals 5040. Then, multiply 5040 by the weight: 4. 5040×4=20160
there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets
HOPE IT HELPS
PLEASE MARK BRAINLIEST
The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.
A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).
The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.
Number of students who own pets: 20
Total number of students in the class: 32
Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.
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Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0
Answer:
a.
[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]
b.
[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]
Suppose a study finds that the correlation coefficient relating job satisfaction to salary is r=1. Which of the following are the proper conclusions?
I. High salary causes high job satisfaction.
II. Low salary causes low job satisfaction.
III. There is a very strong association between salary and job satisfaction.
I and II only
I, II and III
III only
I only
Answer:
its I, II and III.
Step-by-step explanation:
r values are from -1 to 1, if the value is 0 means there's no connection between values of variables, if its lower than 0, if the value of variable goes up the other goes down, if its higher than 0, than if one value of variable increases than the value of other variable increases too. the closer to 1 the stronger the association.
m=8+n
PLZ HELP ASAP, WILL MARK BRAINLIEST!!!
[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]
Take n to left[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]
Henceif m=1
[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]
if n=1
[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]
[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]
31. Which inequality is represented by
this graph?
Answer:
A. x/5 - 6 > -4
Step-by-step explanation:
The graph shows that x > 10. We need to solve each of the inequalities. After we do, we see that A is the answer.
A. x/5 - 6 > -4
x/5 > 2
x > 10
Help please anyone please
Welp....there's your answer
Pls help me !!! What is the area of rectangle
Answer:
B 48
Step-by-step explanation:
Ac=2AE, because AE=r, Ac=d, d=2r
Ac=2*5=10
The angle ADC is right, because it leans on the diameter AC,
find the leg DC, use the Pythagorus theorem
DC= sqrt (Ac^2-AD^2)= sqrt(100-36)=sqrt64=8
S= 6*8=48
A. 264
B. 233
C. 153
D. 268
9514 1404 393
Answer:
A. 264 mi³
Step-by-step explanation:
The area of the right triangular base is ...
A = 1/2bh
A = 1/2(6 mi)(8 mi) = 24 mi²
Then the volume of the prism is ...
V = Bh . . . . . where B is the base area and h is the distance between bases
V = (24 mi²)(11 mi) = 264 mi³
divide 5/6 and 1/12!!
Answer:
10/1
Step-by-step explanation:
5/6÷1/12
5/6×12/1 (do a inverse of 1 upon 12)
10/1
cancel 12 by 6
Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}
Answer:
{2,4,5,6,8,10,15,20}
Answer:
{ 2,4,5,6,8,10,15,20}
Step-by-step explanation:
D ∪ E
This means the union of the two sets or what is in both circles with no duplicates
{ 2,4,5,6,8,10,15,20}
The hypotenuse of a right triangle is 52 in. One leg of the triangle is 8 in. more than twice the length of the other. What is the perimeter of the triangle?
20 in.
26 in.
120 in.
138 in.
Answer:
its c 120in
Step-by-step explanation:
The perimeter of the triangle is,
⇒ 138 in.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The hypotenuse of a right triangle is 52 in.
And, One leg of the triangle is 8 in. more than twice the length of the other.
Hence, We get;
Lengths of legs are,
⇒ x
And, ⇒ 8 + 2x
Hence, We can formulate;
⇒ 52² = x² + (2x + 8)²
⇒ 2704 = x² + 4x² + 64 + 24x
⇒ 5x² + 24x - 2640 = 0
⇒ x = 20 and x = - 132/5
For perimeter;
Take x = 20
Hence, The perimeter of the triangle is,
⇒ 52 + x + (2x + 8)
⇒ 52 + 20 + (2 × 20 + 8)
⇒ 52 + 20 + 48
⇒ 138 in.
Thus, The perimeter of the triangle is,
⇒ 138 in.
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The sale price for a jacket that regularly costs $102.00 is now $74.00. With sales tax, a customer pays $82.40.
Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM
Answer:
D) 9:00 am
Step-by-step explanation:
Because 9:00 is the midpoint of 7 and 12
The polygons in each pair are similar. find the missing side length
If polygons are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]
