Complete the following proof by dragging and dropping the correct reason in the spaces bellow
Given: Q is between P and R,R is between S, PR=QS
Prove:PQ=RS
Answers
Given:
Q is between P and R, R is between Q and S, [tex]PR=QS[/tex].
To prove:
[tex]PQ=RS[/tex]
Solution:
The two column proof is:
Statements Reasons
1. Q is between P and R 1. Given
2. [tex]PQ+QR=PR[/tex] 2. Segment addition postulate
3. R is between Q and S 3. Given
4. [tex]QR+RS=QS[/tex] 4. Segment addition postulate
5. [tex]PR=QS[/tex] 5. Given
6. [tex]PQ+QR=QR+RS[/tex] 6. Substituting property of equality
7. [tex]PQ+QR-QR=QR+RS-QR[/tex] 7. Subtraction property of equality
8. [tex]PQ=RS[/tex] 8. Simplify
Hence proved.
Related Questions
Find the solution set of the inequality
\qquad8x - 8 \leq -72.8x−8≤−72.
Answers
Step-by-step explanation:
- 8 is the ans .hope this help you. mark me as brainliest
A window is constructed with the top half of an ellipse on top of a square. The square portion of the window has a 40 inch base. If the window is 54 inches tall at its highest point, find the height, h, of the window 10 inches from the center of the base.
Decorative image
Answers
Which of them belongs in the places.
Answers
Answer:
a belongs at b.
b belongs at c
c belongs at a
a.k.a
a - > b
b - > c
c - > a
Step-by-step explanation:
i used visual representation
What’s the simplified form of -64 1/3
Answers
Answer:
First we should convert this mixed number into an improper fraction :
[tex]-64\frac{1}{3} = -\frac{193}{3} \\[/tex]
Now we can simplify it much easier! :
Oh but wait! It's already in the simplified form as it can be!
Plz help me solve this thanks
Answers
Answer:
[tex]-2\sqrt{3}+8\sqrt{5}[/tex]
Step-by-step explanation:
[tex]-2\sqrt{3} -\sqrt{5} +3\sqrt{9\times5} = -2\sqrt{3} -\sqrt{5} +3\sqrt{9}\times\sqrt{5} = -2\sqrt{3} -\sqrt{5} +9\sqrt{5} = -2\sqrt{3}+8\sqrt{5} \\[/tex]
What is the volume of the solid figure?
Answers
152 cubic ft
Answer:
Volume of solid figure=Volume of
upper cuboid+volume of lower cuboid
=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft
152 cubic ft
Answer:
Volume of solid figure=Volume of
upper cuboid+volume of lower cuboid
=l*b*h+l*b*h=10*4*3+4*4*2=152 cubic ft
in the diagram below, ABCD is a rectangle.
Answers
9514 1404 393
Answer:
BC = 10 ft
Step-by-step explanation:
You may recognize the ratio of the given leg and hypotenuse of triangle BCD is 24 : 26 = 12 : 13. You may recall that the Pythagorean triple (5, 12, 13) is commonly seen in math problems. Here, that means side BC is 2×5 = 10 feet.
__
If you don't recall these helps, you can use the Pythagorean theorem to find BC.
BC² + DC² = DB²
BC² = DB² -DC² = (26 ft)² -(24 ft)² = 676 ft² -576 ft² = 100 ft²
BC = √(100 ft²) = 10 ft
Hey again I need some help I would really appreciate it
Answers
Answer:
127 degree
Step-by-step explanation:
because angle 6 is alternate to 127 degree. Alternate makes a=b which is angle 6 is equal to 127 degree
Find the value of X
Answers
Answer:
100°
Step-by-step explanation:
the lower right angle is 180-149 = 31°
the sum of all three angles in a triangle is 180°.
so the solution is 180-31-49
the sum of two numbers is 47 and the difference is 7. what are the numbers?
Answers
Answer:
27, 20
Step-by-step explanation:
x + y = 47
x - y = 7
if we solve the second equation for 'x' we can:
let 'x' = y+7
substitute that expression for 'x' in the first equation to get:
y+7 + y = 47
2y = 40
y = 20
now find 'x':
x - 20 = 7
x = 27
Answer:
20 and 27
Step-by-step explanation:
because yes that is the answer
4
3. Fred used 1 1/6cups of raisins, and 3 1/3cups
of nuts to make his trail.mix. How many
cups of the mix did he make?
Answers
Explanation:
1 1/6 + 3 1/3
= 7/6 + 10/3
= 7/6 + 20/6
= 27/6
= 4 3/6
SIMPLIFY 4 3/6:
4 1/2
Have a nice day
convert fraction to decimal 7over 21 need help now
Answers
Answer:
0.33333
Step-by-step explanation:
That's the answer to this
Suppose Shelly needs to have $40,000 at the end of six years to open a cookie shop. She invests in an annu
pays 8% interest, compounded semiannually. How much does she have to invest each compounding period
her goal?
Answers
Answer:
Step-by-step explanation:
40,000= x (1+ .04)^12
the future value of the account =40,000
the amount invested at the end of each period =x because we do not know
the interest rate per period = 0.04 because 8% compounded semiannually is 4% per 6 months or written as decimals 0.04
(1+.04) because you gain interest so you add to the 100% of your money 4%
the number of periods = 12 because in 6 years we have twelve 6 months periods
[tex]x= \frac{40,000}{1.04^{12} }[/tex]
x= $24,983.88
Answer:
the answer is $2662.09
Step-by-step explanation:
Which statement must be true about line TU?
Answers
Answer:
wer: The true statement is 'Line TU is parallel to line RS'. Explanation: Since, we know that if a line is perpendicular to two different lines then these two different lines must be parallel to each other. Here, it is given that WV is perpendicular to both lines RS and TU. Therefore, RS must be parallel to TU.
The vertex of this parabola is at (-5, -2). When the x-value is -4, the
y value is 2. What is the coefficient of the squared expression in the
parabola's equation?
(-5,-2)
© A. 1
O B. -1
C. 5
D. 4
Answers
So you know the vertex is at (-5,-2) and there is a point (-4,2). This means you can write it in vertex form.
Vertex form is y= a(x-h)^2 +k
Therefore:
y= a(x+5)^2 -2
Now since you know that plug in the point to find a.
2 = a(-4+5)^2-2
4 = a
So your equation is:
y= 4(x+5)^2 -2
Now you want to know the coefficient of the squared expression. So let’s multiply it out.
y= 4 [(x+5)(x+5)]-2
y= 4(x^2+10x+25)-2
y= 4x^2+40x+100-2
y= 4x^2 + 40x + 98
Therefore your coefficient is 4.
Complete the problems in measurements. Show answers in simplest terms.
e. Joseph has a bag of dog food that weighs 5 lb. He wants to feed his dog 7 oz. of dog food per day, How many days will the bag of dog food last?
Answers
5(16)=80 lbs of dog food
80/7=11.4 days
Simplify:{x(6x - 1
A)
B)
2x-1
9
2x
x-
2x7.5
D
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:= 2 {x}^{2} - \frac{1}{3} x}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] \frac{1}{3} x \: ( \: 6x - 1 \: )\\[/tex]
[tex] = \frac{x \: ( \: 6x - 1 \: )}{3}\\[/tex]
[tex] = \frac{6 {x}^{2} - x}{3} \\[/tex]
[tex] = \frac{6 {x}^{2} }{3} - \frac{x}{3}\\ [/tex]
[tex] = 2 {x}^{2} - \frac{1}{3} x\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
A ball is drawn randomly from a jar that contains 5 red balls, 4 white balls, and 2 yellow balls. Find the probability of the given event
Answers
Answer:
?
Step-by-step explanation:
Some one help me with this pls!!!
Answers
Answer:
V = 2,495.5 ft³
Step-by-step explanation:
Volume of the given cylinder = πr²h
Where,
π = 3.14
radius (r) = ½(17) = 8.5 ft
height (h) = 11 ft
Plug in the values into the formula
V = 3.14 × 8.5² × 11
V = 3.14 × 72.25 × 11
V = 2,495.515
V = 2,495.5 ft³ (to nearest tenth)
Carla deposited $8500 into an account paying 7.9% annual interest compounded monthly. How much
money will be in the account after 6 years? (also called Future value).
Round to the nearest cent if necessary.
Answers
Answer:
if you have any questions or concerns you may have added the new year is not available for remote playback is unavailable right now the only thing I want to exchange the product
$13,633.26 will be in the account after 6 years.
--------------
This question is solved using the compound interest formula.
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
--------------
In this question:
Deposit of $8500 means that [tex]P = 8500[/tex].Interest rate of 7.9% means that [rex]r = 0.079[/tex].Compounded monthly, that is, 12 times an year, so [tex]n = 12[/tex].6 years, thus, [tex]t = 6[/tex].--------------
How much money will be in the account after 6 years?
This is A(6), so:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(6) = 8500(1 + \frac{0.079}{12})^{12\times6}[/tex]
[tex]A(6) = 13,633.26[/tex]
$13,633.26 will be in the account after 6 years.
A similar question is given at https://brainly.com/question/23781391
Which expression is equivalent to 4-(-7)
Answers
Answer:
4-(-7)=11
-4-7=-11
-4+7=3
-7-4=-11
so neither 3 choices work
hope this helps
have a good day :)
Step-by-step explanation:
Explanation: 4 - (-7) means 4 - -7. So connect the two subtraction signs and make a plus sign. 4+7 is what you’ll get.
3x^2 - 4x + 2 = 0
how many solutions does the equation above have?
Answers
Please Find the value of x and y
Answers
Answer: x=40° and y=140°
Step-by-step explanation:
From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.
x=40°
With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.
40+y=180 [subtract both sides by 40]
y=140°
Now we know x=40° and y=140°.
Margot surveyed a random sample of 180 people from the United States about their favorite sports to watch. Then she sent separate, similar, survey to a random sample of 180 people from the United Kingdom. Here are the results:
Favorite sport to watch United States United kingdom Total
Basketball 60 51 111
Football 67 14 81
Soccer 28 86 114
Tennis 25 29 54
Total 180 180 360
Margot wants to perform a x^2 test of homogeneity on these results. What is the expected count for the cell corresponding to people from the United Kingdom whose favorite sports to watch is tennis?
Answers
Answer:
27
Step-by-step explanation:
The expected count in a χ² test can be obtained thus :
Expected count for each each point in a two way table ::
(row total * column total) / total
Therefore, expected count for cell corresponding to people from United Kingdom whose favorite sport is tennis :
Row total = (51+14+86+29) = 180
Column total = (25 + 29) = 54
Total = 360
Hence,
Expected count = (180 * 54) / 360
Expected count = 27
A university administrator was interested in determining if there was a difference in the distance students travel to get from class from their current residence(in miles). Men and women at UF were randomly selected. The Minitab output is below. What is the best interpretation for the output?
Difference = mu (F) - mu (M)
T-Test of difference = 0 (vs not =): T-Value = -1.05 P-Value = 0.305 DF = 21
A. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is different for men and women.
B. With a p-value of 0.305, we do have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
C. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is the same for men and women.
D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.
Answers
Answer:
D. With a p-value of 0.305, we do not have statistically significant evidence that the population mean distance traveled to class is different for men and women.
Step-by-step explanation:
What we are testing?
If the distance students travel to get from class is statistically different for men and women.
How we take the decision?
The significance level is the standard of 0.05.
If the p-value is greater than 0.05, there is no evidence that the distances are statistically different for the population.
If the p-value is less than 0.05, there is evidence that the distances are statistically different different for the population..
In this question:
p-value: 0.305 > 0.05, so there is no statistically significant evidence that the means are difference, and the correct answer is given by option d.
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. 2x+4y>0−x+5y>0
Answers
The graph of the inequality is added as an attachment and a solution is (1, 2)
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
2x + 4y > 0
−x + 5y > 0
The above expression is a system of inequalities where
The inequalities in the system are linear inequalities
Next, we plot the graph
One of the points in the shaded region is (1, 2)
See attachment for the graph of the inequality
Read more about inequality at
brainly.com/question/25275758
#SPJ1
3. Find the measure of the exterior angle in the diagram below.
Answers
Answer:
the value of x is 29° which is b
sin 0= 20/29 and cos 0 = -21/29. Find tan 0
Answers
Answer:
Tan(theta) = 20/-21
Step-by-step explanation:
Tan(theta) = Sin(theta)/Cos(theta)
[tex]\frac{\frac{20}{29} }{\frac{-21}{29} }[/tex]
Invert the denominator and multiply
[tex]\frac{20}{29}*\frac{29}{-21}\\\frac{20}{-21}[/tex]
Tan(theta) = 20/-21
Answer:
20/-21
Step-by-step explanation:
Can someone help me with this question please..
Answers
Answer:
B = (3,3)
Step-by-step explanation:
The order pair of B is (3,3)
3 is x component
3 is y component
PLEASE EXPLAIN
Mark wants to paint a mural. He has 1 1/4 gallons of yellow paint, 1 1/5 gallons of green paint, and 7/8 gallon of blue paint. Mark plans to use 3/4 gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction. Mark will have gallons of paint left after painting the mural.
Answers
Answer:
1 and 3/40th gallon
Step-by-step explanation:
1 1/4 = 5/4 = 50/40 yellow paint
1 1/5 = 6/5 = 48/40 green paint
7/8 = 35/40 blue paint
3/4 = 30/40
50/40 - 30/40 = 20/40 yellow paint
48/40 - 30/40 = 18/40 green paint
35/40 - 30/40 = 5/40 blue paint
20/40 + 18/40 + 5/40 = 43/40 = 1 3/40
There are 1 and 3/40ths gallons left after painting the mural.
PLS MARK BRAINLIEST!
