Answers
Explanation:
The drawings you made are constructions of the perpendicular bisector. The "perpendicular" refers to the fact the second line meets the first line at a right angle (aka 90 degree angle). The "bisector" portion indicates the segment has been bisected, which is mathematical way of saying "cut in half".
The key here is the "bisector" portion. Because we've cut a segment like AB in half, this means segment AC and CB are the same length. The point C is the midpoint of AB. Point C is formed by intersecting the perpendicular bisector and the original segment. I'm referring to drawing (a), but the same idea applies to drawing (b) as well. I recommend using another letter than C for the second drawing.
Related Questions
Find the value of x.
x=__ (simplify your answer. Type an exact answer isn’t radicals as needed.)
Answers
[tex] {5}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]25 + {x}^{2} = 64[/tex]
Subtract both sides 25
[tex]25 - 25 + {x}^{2} = 64 - 25[/tex]
[tex] {x}^{2} = 39[/tex]
Thus :
[tex]x = \sqrt{39} [/tex]
[tex]x = 6.245[/tex]
are in the ratio of 3:4. If the first number is decreased by 5, and
the second number is increased by 5, the new ratio will be 2 : 3. What are the two
numbers?
Answers
Answer:
the first number is 75 and the second number is 100
1. Assume O P || NM.
What are possible lengths for each of the following segments?
LO, ON, LP, and PM
Choose one measure for each segment. You can start with the length of any segment, but remember to consider the
Triangle Proportionality Theorem when choosing the measurements.
2. How did you decide what values to use? Explain how you chose your measurements, and why you know they are
possible measurements for the segments.
3. What is a different method you could use to choose these numbers? Explain your answer.
Answers
1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units
2. The possible values are decided by assuming [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex] using the triangle proportionality theorem.
3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.
What is the Triangle Proportionality Theorem?Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.
1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:
[tex]\frac{ON}{LO} = \frac{PM}{LP}[/tex]
Using the above ratio, we can choose the following possible lengths for the segments:
ON = 3 units
LO = 1 unit
PM = 6 units
LP = 2 units
2. The values are decided assuming that the ratio, [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex]
This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.
Therefore, since:
[tex]\frac{3}{1} = 3\\\\\frac{6}{2} = 3[/tex]
The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.
3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.
LP/LM = LO/LN = PO/MN
We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.
Let's assume that: LP/LM = LO/LN = PO/MN = 1/4
Let,
LO = 1 unit
LN = 4 units
Therefore, ON = LN - LO = 4 - 1 = 3 units.
Same way the other possible measures can be gotten provided a ratio is assumed.
Learn more about triangle proportionality theorem on:
https://brainly.com/question/24804474
JACKIE BROUGHT 3/4 OF A GALLON OF ICED TEA TO THE PARTY. BILL BROUGHT 7/8 OF A GALLON OF ICED TEA TO THE SAME PARTY. HOW MUCH ICED TEA DID JACKIE AND BILL BRING TO THE PARTY?
Answers
Answer:
your welcome... hope this helps
Step-by-step explanation:
A baseball player on a professional baseball team has 207 hits in 575 at-bats. What
is the ratio of hits to at-bats? Choose the correct answer in the most simplified
form:
Answers
Answer:
9/25
Step-by-step explanation:
find a number that both the top and bottom are divisible by,
23 is the greatest common division we can make such that the top and bottom remain whole numbers
so,
[tex]\frac{207 }{575}[/tex] ÷23
=(207/23)÷(575/23)
=[tex]\frac{9}{25}[/tex]
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Answers
Answer:
$o.44
Step-by-step explanation:
20/100×0.55 =0.11
0.55-0.11 = 0.44
Explication- 0.55-20% is 0.44
Slove for x : 4x - t = a
Answers
we have: 4x - t = a ⇒ 4x = a + t ⇒ x = [tex]\frac{a+t}{4}[/tex]
ANSWER: x = [tex]\frac{a+t}{4}[/tex]
ok done. Thank to me :>
Which statement is false?
A. The lines of symmetry in a circle are too many to count.
B. A scalene triangle has no line of symmetry.
C. A trapezoid has only one line of symmetry.
D. A regular octagon has only four lines of symmetry.
Answers
Answer:
options a is answer
Step-by-step explanation:
options a is answer
How many eighty-fours are in 672
Answers
There are “8” 84’s in 672.
Solve.
Sophia wants to buy a pair of shoes online. Shop X has a price of 35.90 CAD. The price at
Shop Y is 21 British pounds (GBP). Compare the prices using Canadian dollars. If 1 CAD =
0.75 GBP, which shop offers a better deal? Explain.
Answers
Answer:
Shop Y
Step-by-step explanation:
In order to compare, we need to make both the same units first. Since they give us the conversion factor 1 CAD=0.75 GBP, we can plug this in to the shoes from shop X. We get 35.90*0.75=26.93 GBP.
Now we can compare. Since 21 GBP < 26.93 GBP, we can see that shop Y's shoes are cheaper, and therefore the better deal.
Find the exact value of tan 5 π .
Answers
Answer:
0.274714403
Step by step explanation:
Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help
Answers
Answer:
3n + 12
n + n + n + 4 + 4 + 4
(n+4) + (n+4) + (n+4)
Step-by-step explanation:
Simplify 3(n+4).
3 x n = 3n
3 x 4 = 12
3n + 12
Expand.
3(n+4)
3 x n = n + n + n
3 x 4= 4 + 4 +4
And
3(n+4)
= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)
Find the measure of x.
48.99
138
X
x = [?]
Round your answer to the nearest tenth.
Enter
Answers
Tan(48.9) = x/138
X = 138 x tan(48.9)
X = 158.2
evaluate the following expression . 2*[4+(12+16)/7
Answers
Answer:
16
Step-by-step explanation:
[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]
A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)
Answers
Answer: B. (-3, 0)
Step-by-step explanation:
y = -3x - 9...(1)
y = 3x + 9...(2)
Substitute (1) into (2)
3x+9=-3x-9
6x=-18
x=-3
Substitute y=0 into (1)
y=3(-3)+9
y=0
Therefore, the solution to the system is the ordered pair (-3, 0)
The year 2004 has the units digit equal to twice the thousands digit. How many years will it be before this next happens?
Answers
Step-by-step explanation:
the answer should be 1004
find the numbered angles 1 to10
Answers
Answer:
6
Step-by-step explanation:
im not sure but I think 6 is the answer
Which expression is equivalent to 142 +35 - 2142
7z(2-5-39)
7zy(2-5-3)
21-5-39
7(2z-5-39)
HELP FAST
Answers
7 (2x +5 -3y)
The table shows the relationship between r and s, where s is the independent variable.
Which equation represents the relationship between r and s?
Answers
Answer:
burrito
Step-by-step explanation:
burrito
I need help with this question
Answers
I can explain further in a reply, if needed.
WILL MARK BRAINLIEST PLEASE HELP THIS IS DUE NOW AND NO LINKS!!!
Answers
yw and have a great day
Gino had 89€.
He used one
quarter to buy
a gumball. How
much money does
Gino have left?
Answers
Answer: 64€
Step-by-step explanation:
89 - 25 = 64
Can i have brainliest
Answer:
64 cents
Step-by-step explanation:
Assuming the 'c' symbol represents an American currency symbol
The function f is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
f(x) = 1/2(x-5)^2-2
f(x)= 1/2(x -3) (x -7)
f(x) = 1/2x^2-5x+21/2
Write one of the zeros
Answers
Answer:
a) best form: (b) f(x)= 1/2(x -3) (x -7)
b) zeros: x=3, x=7
Step-by-step explanation:
The factored form most quickly tells you the zeros of the function. The zeros are the values of x that make the factors zero: the opposite of the binomial's constant.
f(x)= 1/2(x -3)(x -7) reveals the zeros to be x=3 and x=7
Answer:
khan
Step-by-step explanation:
The sum lf two numbers is 10. The difference between the two numbers is 4: what is the smaller numerical?
Answers
Answer:
3
Step-by-step explanation:
The two numbers are 3 and 7, and 3 is the smaller one
Step-by-step explanation:
x, y are the 2 numbers.
x + y = 10
y - x = 4
that gives us
y = x + 4
and we use that in the first equation :
x + x + 4 = 10
2x = 6
x = 3
y = x + 4 = 3 + 4 = 7
so, yes, the smaller number is 3.
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point- slope form is y + 1= 2/3 (x -8)
Answers
Answer:
2x - 3y = 19
Step-by-step explanation:
y=(-5--1)/(2-8)*(x -8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19
2x - 3V = 19
Step-by-step explanation:
y=(-5--1)/(2-8)*(x-8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19
Find the sum of the first 11 terms of the geometric sequence shown below.
2, 6, 18, 54, ...
Answers
Answer:
177146
Step-by-step explanation:
2 + 6 + 18 + 54 + 162 + 486 + 1458 + 4374 + 13122 + 39366 + 118098
The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!
(this is linear combinations)
Answers
Answer:
x = 65, y = 25Step-by-step explanation:
Given system of linear equations:
x + y = 90 2x - y = 105Add up the equations to eliminate y:
x + 2x = 90 + 1053x = 195x = 65Find y:
y + 65 = 90y = 90 - 65y = 25-3x-8? I would like to know the steps also
Answers
Answer:
24
Step-by-step explanation:
a - and a - make a +
so -3 x -8 becomes positive
so 3 x 8 = 24
At a local college, 204 of the male students are smokers and 306 are non-smokers. Of the female students, 180 are smokers and 420 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Answers
Step-by-step explanation:
Male ratio: 204:306 = 2:3 (66%)
Female ratio: 180:420 = 3:7 (42%)
Hope that helps
Answer:
both are non smokers is 0.48.
a study of 1,400 cats revealed that 18 out of every 210 cats in the population have black hair. based on the results of the study, how many cats in the population do NOT have black hair?
Answers
Answer:
1280
Step-by-step explanation:
divide 1400 by 210
then multiply by 18
subtract that answer (120) from 1400,
and you get 1280