Answers
Answer:
I) Eq(1) reason: sum of segments of a straight line
II) Eq(2) reason: Given PQ = ST & PS = RT
III) Eq(3) reason: sum of segments of a straight line
IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides
V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.
Step-by-step explanation:
We are given that;
PS = RT and that PQ = ST
Now, we want to prove that QS = RS.
From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;
PQ + QS = PS - - - - (eq 1)
Now, from earlier we saw that PQ = ST & PS = RT
Thus putting ST for PQ & PS for RT in eq 1,we have;
ST + QS = RT - - - - (eq 2)
Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;
RS + ST = RT - - - - -(eq 3)
From eq(2) & eq(3) we can see that both left hand sides is equal to RT.
Thus, we can equate both left hand sides with each other to give;
ST + QS = RS + ST - - - (eq 4)
Subtracting ST from both sides gives;
ST - ST + QS = RS + ST - ST
This gives;
QS = RS - - - - (eq 5)
Thus;
QS = RS
Proved
Related Questions
What is the value of 12 Superscript 0?
Answers
Answer:
It's 1
Step-by-step explanation:
What is the value of n?
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Answer:
A. 95°Step-by-step explanation:
see attached
Graph x<2. I will give yall 20 points :)
Answers
Answer:
a????
Step-by-step explanation:
sorry if I'm wrong might be b
Answer:
D
Step-by-step explanation:
It is x<2 which means x can not be 2, so it is a dotted line, then x is anything less than 2, so it is shaded to the left.
if the midpoint between (3, 4) and (5, y) is (4, -2), what is the value of y?
Answers
Answer:
y = -8
Step-by-step explanation:
to find the midpoint you add the two together then divide by 2
(4 + y) / 2 = -2
4 + y = -4
y = -8
Determina el valor de la expresión:
4 + 3 [4 – 26 – 3)] ÷ 2
Answers
Answer:
-33.5, -71/2, or 35 1/2 they are all the same
Step-by-step explanation:
what would the solution be?
Answers
Answer:
C.) y = 9
Step-by-step explanation:
Simply substitute in -2 for x.
y = -4(-2) + 1
y = 8 + 1
y = 9
Find the absolute value. |-5.3|
Answers
Answer:
5.3
Step-by-step explanation:
because it is going to the left 5.3 so if you absolute value it, it will still be 5.3
How would I find the answer to this
Answers
Answer:
answer is 108
Step-by-step explanation:
You would divide 28 by 7 which is 4 so the bigger triangle is 4 times the size of the smaller rectangle. in order to find the perimeter you would multiply each side of the smaller triangle by 4 and add up all the sums. except the one you were given so 28+(12times4)+(8times 4)+108
hope this helps you out :)
Determine the quotient of 2 over 5 divided by 3 over 4.
I NEED HELP ASAP
Answers
Answer:
8/15
Step-by-step explanation:
(2/5)/(3/4)
keep change flip
2*4=8
5*3=15
8/15
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex] (convert division to multiplication by inverting the second fraction)
= [tex]\frac{2}{5}[/tex] × [tex]\frac{4}{3}[/tex] (combine fractions by multiplying numerator with numerator and denominator by denominator)
= [tex]\frac{(2)(4)}{(5)(3)}[/tex]
= [tex]\frac{8}{15}[/tex]
Neptune completes 1 ½ turns about its axis each day. How many turns does it complete in 1 week?
Answers
In 7 days it will complete 1.5*7 turns.
1.5*7 = 10.5 turns
The number of turns completed in 1 week is 10.5.
Given that,
Neptune completes 1 ½ turns about its axis each day.We need to determine the no of turns completed in one week.Based on the above information, the calculation is as follows:
As we know that in one week there are 7 days, so the no of turns in one week is
[tex]= 1.5 \times 7[/tex]
= 10.5
Therefore we can conclude that the number of turns completed in 1 week is 10.5.
Learn more: brainly.com/question/24503007
Simplify i31.
1
−1
i
−i
Answers
Answer:
D. -i
Step-by-step explanation:
I took the quiz and got a 100%
The required value of the complex number [tex]i^{31}[/tex] = -i.
Given that,
To determine the value of complex numbers [tex]i^{31}[/tex].
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is a complex number?The number that are constitute of real and imaginary numbers are called complex number. complex number can be represents as z = a+ ib ,where a = real part and bi = imaginary part.
Here,
[tex]i^4 = 1[/tex] and [tex]i^3 = -i[/tex]
For complex numbers [tex]i^{31}[/tex]
[tex]=i^{31}\\=(i^4)^7.i^3\\=1.-i\\=-i[/tex]
Thus, the required value of the complex number [tex]i^{31}[/tex] = -i.
Learn more about complex numbers here: https://brainly.com/question/28007020
#SPJ5
simplify this please
7^x ÷ 7^y
Answers
Answer:
[tex]\huge\boxed{7^{x-y}}[/tex]
Step-by-step explanation:
We can use basic exponent rules to simplify this expression.
We know that [tex]a^b \div a^c = a^{b-c}[/tex].
Since we have the same base (7) and different exponents (x, y), we can subtract the exponents and raise the base to that power.
[tex]7^{x-y}[/tex]
Hope this helped!
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Answers
Answer:
is that a song you write cause it is good
Step-by-step explanation:
Step-by-step explanation:
My favorite Kid Cudi song, without a doubt. It was one of those songs that was such a huge part of my childhood that I forgot about until maybe a year ago, when I relistened to some Kid Cudi projects and rediscovered this gem. Production's phenomenal, the atmosphere is super fitting when compared to the lyrics, and Cudi's voice works great here.
what is one fourth of 36,500,000 in scientific notation
Answers
Answer:
9.125 × 10^6
Step-by-step explanation:
36,500,000 ÷ 4 = 9,125,000 = 9.125 × 10^6
Continue the pattern for five more terms on the list. zy, zx, zw, x, yw, yv, xw...
Answers
The 3 in the 73.084 _ times the 3 in 65.732.
Answers
Answer:
it would be 3.0 times 0.03 so the answer is 0.9
the triangular prism below has equilateral bases with sides of 4 in and a height of 4.5 in and rectangular sides measuring by 4 in by 7in what is the lateral surface area of the prism?
Answers
Answer:
quite not sure
Step-by-step explanation:
Suppose b is an integer. If b mod 12 = 5, what is 8b mod 12? In other words, if division of b by 12 gives a remainder of 5, what is the remainder when 8b is divided by 12
Answers
Answer:
8 b mod 12 is equal to 4.
Step-by-step explanation:
Use Dividend = Divisor × Quotient + Remainder
As b mod 12 = 5 (that is division of b by 12 gives a remainder of 5)
[tex]b=12k+5[/tex]
Here, k is any integer.
Multiply both sides of [tex]b=12k+5[/tex] by 8
[tex]8b=8(12k+5)\\8b=8(12k)+40[/tex]
write 40 in terms of 12
[tex]40=36+4=12(3)+4[/tex]
[tex]8b=8(12k)+12(3)+4\\8b=12(8k+3)+4[/tex]
Therefore,
8 b mod 12 is equal to 4.
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages did Lionel have copied?
Answers
Answer:
250
Step-by-step explanation:
You do 20/.08 to get 250.
Answer:
2.5
Step-by-step explanation:20/8=2.5
Use the equation below to find T, if W=62, m=4, and a=6
Answers
Answer:
T = 38
Step-by-step explanation:
T = 38 because:
1) Plug in all the variables into the equation
Equation: T = 62 - 4(6)
2) Next, solve the equation. First, do multiplication because of order of operations.
Equation: T = 62 - 24
3) Now just subtract 62 and 24
Equation: 38 = 62 - 24
Therefore, T = 38
Hope this helps! :D
3. In a perspective drawing, the ratio of the distance from the vanishing point to the height
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Proportion:
Height:
4.In a perspective drawing, the ratio of the height of a stop sign to the distance from the vanishing point is 4/15.Explain how to find the distance from the vanishing point to place a stop sign that is drawn with a height of 6 inches.
Please help,I need to finish this missing assignment or I won’t get my phone back.
Answers
Answer:
if it helps try dividing those two numbers so like 25/7
how do you write 8,000,000+300+9 in standard form
Answers
Answer:
8000309
Step-by-step explanation:
HELP ASAP TAKING A TEST I DONT KNOW HOW TO DO THESE I HAVE 1 HOUR PLEASE!
Answers
Answer:
diagonal is 11.14 cm
Step-by-step explanation:
We start by writing the equation for the width (w) in terms of the length (L):
w = 2 L - 8
from the area = w * L = 62
we replace w in it: w * L = (2 L -8) * L = 62
2 L^2 - 8 L = 62
2 L^2 - 8 L - 62 = 0
extract 2 common factor:
2 (L^2 - 4 L - 31) = 0
Using quadratic formula we get:
[tex]L=\frac{4+/-\sqrt{4^2-4(1)(-31)} }{2} \\L=\frac{4+/-\sqrt{140} }{2}\\L=7.916\\or\\L=-3.916[/tex]
So, we pick the positive answer L = 7.916 cm
Then we now know the with of the rectangle as well:
w = 2 * L - 8 = 2 * 7.916 - 8 = 7.832 cm
Now we estimate the diagonal of the rectangle using the Pythagorean theorem:
[tex]diag=\sqrt{7.916^2+7.832^2}\approx11.1356\,\,cm[/tex]
which rounded to two decimal places is 11.14 cm
David borrow $700 from a loan shark, and agreed to pay back $1500 after 5 months. What is his monthly payment?
Answers
Answer:
if he is just paying back the 1500 in 5 months he will pay 300 a month, if he is paying the 1500 and the 700 which makes 2200 in 5 months he will pay 440 a month
Step-by-step explanation:
1500/5=300
2200/5 =440
Hope this helps!!
The intersection of a square and a regular hexagon can be
Answers
Answer: Line Segment
Step-by-step explanation:
In geometry, a line segment is known as a part of a line which is bounded by two individual end points, and contains a point on every part of the line between its endpoints. A closed line segment has both endpoints, while an open line segment doesn’t have endpoints. while a closed half segments has one end closed and the other opened.
Identify the linear equation.
A) y = x6
b) y=x/6
c) y=6/x
d) y= |x+6 |
Answers
Use the figure below to solve for X.
Answers
x=45, we know 2x is 90 because it is a right angle, so we can divide 90 by two, to get 45. Now to substitute, 90+55+(45-10) = 180, therefore, this answer would make logical sense.
Mia has a large bag of sweets. if she shares the sweets equally among 2,3,4,5 or 6 people there will always be one sweet left over. what is the smallest number of sweets there could be in the bag?
Answers
Answer:
4
Step-by-step explanation:
PLEASE HELP QUICK! WILL MARK BRAINLIEST!
Answers
Answer:
- John is vertical to georgia
- John is alternate exterior to phillip
- Georgia is corresponding with Phillip
Step-by-step explanation:
Well, these rules are all properties of two lines and a transversal. This means following each of the individual rules, the answers above are derived.
PLZ HELP I WILL MARK BRAINLEST!
Answers
Answer:
5
Step-by-step explanation:
80 is at the top and 40 takes half of the bottom so the other half is 40.
15/120 = 0.125 so...
40x0.125 will be your answer.
You get 5.