I’m stuck on 5-6. Please help if you could explain the answer also that would be awesome
Answers
i think #6 is Infinitely many
The answer to the first question is "b. one," according to Euclid's First Postulate. The answer to the second question is "c. infinitely many," according to Euclid's Second Postulate. These principles form the foundation of Euclidean geometry.
In Euclidean geometry, there are fundamental postulates and theorems that govern the behavior of lines and angles in triangles. Let's address your questions:
1. How many lines can be drawn through point A perpendicular to segment BC?
Answer: There can be only one line drawn through point A that is perpendicular to segment BC. This follows from Euclid's First Postulate, which states that a straight line can be drawn between any two points. In this case, the straight line from point A to any point on segment BC is unique and perpendicular.
2. How many lines can be drawn through point C perpendicular to segment AB?
Answer: Infinitely many lines can be drawn through point C that are perpendicular to segment AB. This is based on Euclid's Second Postulate, which states that a straight line can be extended infinitely in both directions. So, you can draw as many lines as you like, all of which are perpendicular to segment AB, and they will extend infinitely in both directions.
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Related Questions
ab is tangent to the circle ad=4 and bc=3 solve for x
Answers
Answer:
Step-by-step explanation:
alright, lets get started.
bc and cd will be same as both are radius of the circle.
[tex]bc=cd=3[/tex]
[tex]ac=ad+cd[/tex]
[tex]ac=4+3[/tex]
[tex]ac=7[/tex]
as we know ab is tangent to the circle so, triangle abc will be a right triangle.
Using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
[tex]3^2+x^2=7^2[/tex]
[tex]9+x^2=49[/tex]
Subtracting 9 from both sides
[tex]x^2=49-9=40[/tex]
[tex]x=\sqrt{40} =2\sqrt{10}[/tex]
So, the answer is [tex]2\sqrt{10}[/tex] : answer
Hope it will help. :)
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
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1. What point is the image of (4,5) with a translation of right 2 and down 3?
2. Find B' in a reflection of Triangle ABC when A(3,6), B(-4,2), C(-1,-3) over the y axis.
3. Which axis is (0,7) on?
A. X axis
B. Y axis
Answers
4 + 2 = 6
so now it is (6,5)
Down 3, is for they y axis
5 - 3 = 2
so now it is (6,2) which is your answer
When reflected over the y axis, you will be changing your x, and vice versa.
for B(-4,2), it will become B(4,2) For A, it will go from (3,6) to (-3,6), etc.
3. (0,7), when graphed will be located on the y axis
hope this helps
Malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of the cans, he started recording the number of cans he crushed per minute. this table shows how many cans malachi put in the can-crusher at different times. minutes 3 5 7 9 cans crushed 49 65 81 97 what is the equation that represents malachi's situation? enter your answer in the boxes
Answers
it is 2/3 or not I don't know
Answer:
your answer would be y-65=8(x-5)
Please help asap!!
A recipe calls for 2 1/4 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 15 3/4 cups of flour?
Answers
Write an algebraic expression that is equivalent to the expression cot(arctan x)
Answers
cos²x/sin²x = cot²x
recall cot²x = cosec²x - 1
The algebraic expression equivalent to cot(arctan x) is 1 / x, derived by recognizing that cot(θ) is the reciprocal of tan(θ), and tan(θ) = x for θ = tan-1(x)
To find an algebraic expression for cot(arctan x), let's follow a step-by-step transformation using trigonometric identities: cot(arctan x) is denoted as cot(tan-1(x))
First, letθ = tan-1(x). By definition of the arctan function, we have the relation:tan(θ) = x.Next, we need to find cot(θ). Recall that:cot(θ) = 1 / tan(θ).Since tan(θ) = x, we substitute to get:cot(θ) = 1 / x .Thus, we have cot(tan-1(x)) = 1 / x.
Therefore, the algebraic expression equivalent to cot(tan-1(x)) is 1 / x.
I have a math question
Answers
For
the first question; we have a problem dealing with translations.
Our goal is to translate
the word problem into an algebraic one. So our numbers are
60, 2, and 5. Our variable, or the letter holding the unknown
number's place
value, is
N.
The
problem states that 60 is MORE THAN the PRODUCT of 5 and N. Focus
on the words I bolded and capitalized. These are your key words that
tells you what operations
you need to use. Note that 'product' signals the operation of
multiplication (Since the answer you get from multiplying numbers is
called the 'product'.) and
'more than' signals the operation of addition (Because you are left
off with more than you originally had before adding).
Now
that we know that our algebraic expression contains multiplication,
addition, letter N and the numbers 2 and 5; we can start plugging the
numbers in.
60
= 2 (more than) + (product of) 5N. The answer for the first
attachment is
B.
_____________________________________________________________
All
we need to do for the AB problem (Question 25 on your material) is
solve AB.
Note
1: When a problem has no operation separating two letters or numbers,
this means multiplication.
Note
2: A and B are variables. Variables are letters that stand for and
hold the place of our unknown quantities. However, the values are not
unknown anymore given the fact that the question tells us that A= 42
and B = 2. Thus we substitute A with 42 and B with 2, then work from
there. 42 * 2 =84. Answer = A.
____________________________________________________________________
And
finally, for question 26, we use PEMDAS. P = parenthesis (), E =
exponent x^2, M/D = x or /, A/S means + or subtraction.
According to PEMDAS, we first solve what's parenthesis, which is 77 – 32. Using mental math, 77 – 32 = 45. ( 7 – 3 = 4 and 7 – 2 = 5.). 5/9 * 45 is what we have left. 5 divided by 9 =0.5555555555555556. 0.5555555555555556 * 45 = 25. Answer is D.
Plz help with math. will reward.
Answers
2. A
3.A
4. I got -32, so i'm pretty sure all of my other answers are wrong because this time my answer isn't even in the choices.
I'm not even sure how to the rest, so instead, just find a helpful youtube video instead of seeking answers. I tried dude!
How to find equation of axis of symmetry when given 2 points?
Answers
Slope is 3, and (1,4) is on the line
Answers
3 is equal to 3/1, and you can use that to find the Y intercept. Start at the point that they game you and go up 3 and over 1. But this makes you further away from the Y axis, so you want to do the opposite. Go down 3 and over 1.\
This makes you end up on the Y intercept at (0,1)
Making the equation y=3x+1
Formular: y = mx + c
Where, m = slope
Given that m = 3,
Substitude 3 into m
y = 3x + c
Then add the coordinates (1, 4)
Where 1 being x and 4 being y
4 = 3(1) + c
Solve for C next
c = 1
Substitude m and c into the formular
y = 3x + 1
And it's done!
Use this same method for the rest of the questions :)
What is the 6th value in the sequence with the explicit formula an=−2n−14?
A −26
B −12
C −10
D 6
Answers
a6 = -2(6) - 14 = -26
Its A
During summer months, one ice cream trucks come 4 days another 5 days. If both trucks came today, when is the next time both would be here on the same day?
Answers
A neighborhood swim club charges a one-time fee of $25 to join and $85 each month. If n is the number of months of membership and t is the total amount spent, then the variables are related by the equation t = 85n + 25. Which variable is the independent variable?
Answers
85+25= 110
Write down in the terms of n, an expression for the nth term of the following sequences:
a.) 23, 20, 17, 14, 11
b.) 36, 30 24, 18, 12
Answers
If my son was born june 2016 what year will he graduate high school
Answers
What will this problem look like? The radius, r, of a circle is one-half of the length of its diameter, d.
1. 1/2r= d
2. 2r=d
3. 1/2 + r = d
4. r= 1/2d
5. r= d/2
There is more than one answer
Answers
4. r= 1/2d
5. r= d/2
r = d/2.......d/2 is the same as 1/2d
2r = d
The volume of a rectangular prism is 18 cubic ft. If the width is 6ft. and the height is 3ft. what is the length
Answers
length = 1 foot
A negatively skewed curve represents a distribution in which there are very few scores on the right side of the distribution.
Answers
Riki rides her bike 26 miles every week. What is the total numbers of miles she will ride in one dozen. What is the total number of miles she will ride in 7 weeks
Answers
for 7 weeks is 1274 weeks
7. What is the value of x?
6
6√3
12
12√3
8. What is the value of x?
7
7√2
14
14√2
9.What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
cm²
10. In △ABC, AC=12 in., BC=1.5 in., and m∠C=63°.
What is the area of △ABC?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
11. The relative locations of Pedro's house, the grocery store, and the bank are shown in the diagram.
What is the distance between the grocery store and the bank?
Enter your answer in the box. Round your final answer to the nearest mile.
mi
12. Marco, Garret, and Dino are hiding during a game of hide-and-seek. Their relative locations are shown in the diagram.
What is the distance between Garret and Dino?
Enter your answer in the box. Round your final answer to the nearest yard.
Answers
This is a 30-60-90 triangle. The short leg is half of the hypotenuse so 12/2 = 6 units long
The long leg, x, is equal to sqrt(3) times the short leg
long leg = (short leg)*sqrt(3)
long leg = (6)*sqrt(3)
long leg = 6*sqrt(3)
Answer: Choice B
=====================================================
Problem 8
This is a 45-45-90 triangle. The two legs are congruent. In this case, they are both 7*sqrt(2) units long.
Hypotenuse = (leg)*sqrt(2)
Hypotenuse = (7*sqrt(2))*sqrt(2)
Hypotenuse = 7*(sqrt(2)*sqrt(2))
Hypotenuse = 7*sqrt(2*2)
Hypotenuse = 7*sqrt(4)
Hypotenuse = 7*2
Hypotenuse = 14
So the value of x is 14
=====================================================
Problem 9
Use the SAS area of a triangle rule
Area of triangle = 0.5*(side1)*(side2)*sin(included angle)
A = 0.5*(8)*(12)*sin(65)
A = 48*sin(65)
A = 43.5027737777591
A = 43.5
Answer: 43.5
=====================================================
Problem 10
Angle C is the included angle (aka the angle between the given sides). Like with problem 9, we use the SAS area rule
Area = 0.5*(side1)*(side2)*sin(included angle)
Area = 0.5*12*1.5*sin(63)
Area = 9*sin(63)
Area = 8.01905871769531
Area = 8.02
Answer: 8.02
=====================================================
Problem 11
G = Grocery Store
B = Bank
P = Pedro's house
Given: GP = 11
What we want to find: Distance from G to B (ie find the length of GB). Call this distance x for now
a
Law of Sines:
sin(B)/GP = sin(P)/GB
sin(75)/11 = sin(54)/x
x*sin(75) = 11*sin(54)
x = 11*sin(54)/sin(75)
x = 9.21311626205676
Rounding to the nearest mile, x is roughly 9 miles
Answer: 9 miles
=====================================================
Problem 12
D = Dino
G = Garret
M = Marco
Given Info:
DM = 17 yards
GM = 15 yards
angle M = 81 degrees
What we want to find:
distance from D to G, aka the length of DG
Call this value x for now
Use the law of cosines to find x
(DG)^2 = (DM)^2 + (GM)^2 - 2*(DM)*(GM)*cos(M)
x^2 = 17^2 + 15^2 - 2*17*15*cos(81)
x^2 = 289 + 225 - 510*cos(81)
x^2 = 514 - 510*cos(81)
x^2 = 514 - 79.7815771705178
x^2 = 434.218422829482
sqrt(x^2) = sqrt(434.218422829482)
x = 20.8379083122439
Rounded to the nearest yard, the distance from Garret to Dino is roughly 21 yards.
The solution to the parts is given below.
What is Trigonometry?Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.
1. Using Trigonometry
sin 60 = P/H
√3/2 = x/ 12
x = 12√3 / 2
x= 6√3
2. Using Trigonometry
sin 60 = P/H
1/√2 = 7√2 / x
x/√2 = 7√2
x = 14 unit
3. Using sine law
sin 75 /11 = sin 54 / x
0.965 / 11 = 0.809 / x
0.0877 = 0.809 / x
x = 9.224 miles
Learn more about Trigonometry here:
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How can you find the x-intercept of the graph of a linear equation using the equation? How is using the graph of a linear equation to find the intercepts like using the equation?
Answers
The second one is when the y-intercept is 0 and the x-intercept is a #
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000. What is this cost called?
Answers
Hope this helps! (Please rate) :)
Answer:
The answer is down payment.
Step-by-step explanation:
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000.
This cost is called down payment.
Down payment is an amount in cash that is given while purchasing a home. This lies between 5% to 20% of the purchase price.
This payment reduces the amount of money you will have to borrow from banks. Each loan requires some sort of down payment.
An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the driver works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
Answers
--------------------------------------------
--------------------------------------------
To find that answer, we simply solve for m
m/(30-15) = m/(30+15) + 1
m/15 = m/45 + 1
45*m/15 = 45*(m/45 + 1) ... multiply both sides by the LCD to clear out fractions
3m = 45*(m/45) + 45*(1)
3m = m+45
3m-m = m+45-m
2m = 45
2m/2 = 45/2
m = 45/2 <--- answer as a fraction
m = 22.5 <--- answer in decimal form
Use a calculator or long division to convert from fraction to decimal form.
I need help figuring this out, I think X is 61 but I'm not sure
Answers
m< A = 180 - 40 - 61 = 79 degrees
m < IHB = 79 ( < A and <IHB are corresponding angles)
and m < x = m < IHB) = 79 degrees ( < x and < IHB are internal alternate angles)
Answer is 79 degree
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −8 to x = −2.
A)−1
B)−3
C)1
D)3
Answers
f(-8) = -8² +9(-8) + 18
f(-8) = 10
f(-2) = -2² + 9(-2) + 18
f(-2) =4 -18 +18
f(-2) = 4
f(-8) =10 and f(-2)=4
if a line was drawn between the two points (-8,10) and (-2,4) the slope (rise/run) would be -6/6, since the line would go down 6 units from 10 to 4, and over 6 units from x=-8 to x=-2.
The average rate of change, therefore, is -6/6, or
A)-1
please show me how to solve ... -12x - 17 = -89
Answers
First , let's add 17 on each of your sides (we have to get the "X" by itself , right?
Like: -12x - 17 + 17
= -89 + 17
-89 + 17 = -72
So, divide by -12 on each of your sides since both numbers goes into 12
Like: 12x / -12 = -1
= -72 / -12 = 6
X = 6
Good luck on your assignment and enjoy your day!
~MeIsKaitlyn:)
Please helppp
(750/512)^1/3
what is equivilant to this??
Answers
[tex]\bf \left( \cfrac{750}{512} \right)^{\frac{1}{3}}\implies \cfrac{750^{\frac{1}{3}}}{512^{\frac{1}{3}}}\implies \cfrac{\sqrt[3]{750^1}}{\sqrt[3]{512^1}}\quad \begin{cases} 750=2\cdot 3\cdot 5\cdot 5\cdot 5\\ \qquad 2\cdot 3\cdot 5^3\\ \qquad 6\cdot 5^3\\ 512=8\cdot 8\cdot 8\\ \qquad 8^3 \end{cases} \\\\\\ \cfrac{\sqrt[3]{750}}{\sqrt[3]{512}}\implies \cfrac{\sqrt[3]{6\cdot 5^3}}{\sqrt[3]{8^3}}\implies \cfrac{5\sqrt[3]{6}}{8}[/tex]
Answer:
[tex]\frac{5\sqrt[3]{6}}{8}[/tex]
Step-by-step explanation:
We have been given an exponential number. We are supposed to simplify our given number.
[tex](\frac{750}{512})^{\frac{1}{3}[/tex]
Using fractional exponent rule [tex]x^\frac{m}{n}=\sqrt[n]{x^m}[/tex], w ecan write our given number as:
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{(\frac{750}{512})^1}[/tex]
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{750}{512}}[/tex]
We can rewrite 512 as [tex]8^3[/tex] and 750 as 125*6.
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{125*6}{8^3}}[/tex]
We can rewrite 125 as [tex]5^3[/tex]
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{5^3*6}{8^3}}[/tex]
Using radical rule [tex]\sqrt[n]{a^n}=a[/tex], we will get:
[tex](\frac{750}{512})^{\frac{1}{3}}=\frac{5\sqrt[3]{6}}{8}[/tex]
Therefore, [tex]\frac{5\sqrt[3]{6}}{8}[/tex] is equivalent to our given number.
When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If you pay $90, how many months of use do you get?
Answers
While driving in the United States, Franklin sees that the height of a tunnel is marked as 10’6”. He knows his truck is 3.3m tall. Can he drive through the tunnel?
Answers
hope this helpXD
which number is a solution of the inequality 12 < y(8-y)
Answers
The solution to the inequality 12 < y(8 - y) is y such that 2 < y < 6.
The solution of the inequality 12 < y(8 - y), you can start by simplifying the expression on the right side: y(8 - y)
Distribute the y on the right side: 8y - [tex]y^2[/tex]
Now, substitute this expression back into the original inequality: [tex]12 < 8y - y^2[/tex]
Rearrange the terms to form a quadratic inequality: [tex]y^2 - 8y + 12 > 0[/tex]
Now, factor the quadratic expression: (y - 2)(y - 6) > 0
To solve for y, set each factor equal to zero and find the critical points: y - 2 = 0 or y - 6 = 0
Solving these equations gives y = 2 and y = 6.
Now, create intervals using these critical points and test a value in each interval:
1. Test y = 1: (1 - 2)(1 - 6) = (-1)(-5) = 5 > 0
2. Test y = 3: (3 - 2)(3 - 6) = (1)(-3) = -3 < 0
3. Test y = 7: (7 - 2)(7 - 6) = (5)(1) = 5 > 0
The solution is y such that 2 < y < 6