Answers
Answer:
The length of RS is 47 units
Step-by-step explanation:
Midsegment Theorem
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
The length of the midsegment of a trapezoid is the average of the lengths of the bases.
The midsegment of the given trapezoid is VW, and the bases are RS and UT.
According to the midsegment theorem:
[tex]\displaystyle VW=\frac{RS+UT}{2}[/tex]
Substituting the variable lengths of the sides:
[tex]\displaystyle 3x+5=\frac{2x+15+6x-37}{2}[/tex]
Operating:
[tex]\displaystyle 3x+5=\frac{8x-22}{2}[/tex]
Dividing the fraction:
[tex]3x+5=4x-11[/tex]
Rearranging:
[tex]4x-3x=5+11[/tex]
Operating:
x=16
The length of RS is:
[tex]RS=2x+15=2*16+15=32+15=47[/tex]
The lenght of RS is 47 units
Related Questions
A car travels 266 miles in 7 hours. If it travels at a constant rate, how many miles does the car travel in a 1 hour
Answers
Answer:
38 miles per hour
Step-by-step explanation:
If u divide 266 to 7 it would be going 38 per hour
Answer:
its 38
Step-by-step explanation:
it was correct for me
jose bought 4.75 pounds of pecans at $5.80 per pound. how much did jose pay for the pecans
Answers
Answer:
27.55
Step-by-step explanation:
4.75 times 5.80 is 27.55
Hope it helps!
Abargain clothing store is selling 5 shirts for $20.
Louis said, "I can buy 2 shirts for $8."
William said, "I can buy 1 shirt for $4."
Which statement is TRUE?
A
Only Louis's statement is true.
B
Only William's statement is true.
Both Louis and William's statements are true
D
Neither Louis nor William's statements are true.
Answers
3x + 4 = 8x – 11 does anyone know how to do this
Answers
Answer:
x = 3
Step-by-step explanation:
Subtract 8x from both sides.
3x+4−8x=8x−11−8x
−5x+4=−11
Subtract 4 from both sides.
−5x+4−4=−11−4
−5x=−15
Divide both sides by -5.
−5x
−5
=
−15
−5
x=3
3x+15= 8x
then you subtract 3x from both sides
15=5x
divide both sides by 5
x=3
What is the degree of the power function represented in the table?
Answers
Answer:
3 I think my fault if it's wrou
Answer:
2
Step-by-step explanation:
took the test
What do you learn in Algebra 2 that you did not learn in Algebra 1. Is Algebra 2 just a review?
Answers
Answer:
what grade are you in, im in 7th but im doing algebra.
Step-by-step explanation:
A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answers
Answer:
$49.12
Step-by-step explanation:
i need help asap!!!!!
Answers
Answer: it’s A
Step-by-step explanation:
it’s the only one that has a set pattern for the numbers
suppose that 65% of people have brown hair and 90% of the people are right handed
a) create an AREA MODEL OR TREE DIAGRAM
b)what is the chance a randomly chosen person has brown hair and is right-handed
c) what is the chance that a randomly selected person had brown hair or is left handed
Answers
b. 58.5%
c. 65% for someone with brown hair and 10% for someone who is left handed. (If you’re talking about both then 6.5%)
Find the slope of the line.
Can somebody help me and explain please.?
Answers
Answer:
slope = -1/3
Step-by-step explanation:
You can see that the line is negative. Using the rise/run method, you see that -1/3 is the slope.
Angelo has $5.50 for lunch. He guys a cookie for $1.05
and a drink for 1.45. How much money does Angelo
have left?
Answers
Answer:
Angelo has $3 dollars left
Step-by-step explanation:
$1.05+$1.45= 2.50
$5.50-$2.50= $3
Answer:
$3
Step-by-step explanation:
$5.50 - $1.05 = $4.45
$4.45 - $1.45 = $3.00
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent?
Answers
Answer:
[tex]Percent = \frac{100a}{b}\%[/tex]
Step-by-step explanation:
Given
[tex]\frac{a}{b}[/tex]
Required
Convert to fraction
To do this, we simply multiply the fraction by 100%
This gives:
[tex]Percent = \frac{a}{b} * 100\%[/tex]
[tex]Percent = \frac{a * 100}{b}\%[/tex]
[tex]Percent = \frac{100a}{b}\%[/tex]
The expression cannot be further simplified.
Take for instance the fraction is: [tex]\frac{2}{5}[/tex]
Using the same analysis, the percentage would be:
[tex]Percent = \frac{2}{5} * 100\%[/tex]
[tex]Percent = \frac{2 * 100}{5}\%[/tex]
[tex]Percent = \frac{200}{5}\%[/tex]
[tex]Percent = 40\%[/tex]
Answer:
100(a divided by b)
Step-by-step explanation:
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Answers
Answer:
y = 25x + 100
Step-by-step explanation:
You're welcome!
What is the permittee of the shaded figure ?? Please help
Answers
Answer: 96
Step-by-step explanation:
12x6= 96
times 12 which is the y axis and 6 which is the x axis. which would give you the shaded figure.
Can I get Help on explaination of this?
Answers
Answer:
The measure of the outside angle is the sum of the two inside angles:
68+52=120
Or you could do it the long way and find the third angle inside the triangle then do 180 minus that but this is easier.
Step-by-step explanation:
Please help due in a hour 20 points
Answers
Answer:
Y= -2x + 19
Step-by-step explanation:
Answer:
y = - 2x - 19
Step-by-step explanation:
y = -2x + c
→ Substitute in the x and y coordinates
-7 = 12 + c
c = -19
If fabric costs $4 a foot, which graph below shows this relationship?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
Graph A
Step-by-step explanation:
Answer:
A.)
Step-by-step explanation:
since here using for example just one foot is (1,4) add another (2,8) since you are doubleing the price. and the rest are just going in weird derections.
At the party ⅗ of a pie are eaten.
Jo eats ⅘ of what is left.
What fraction of the pie does Jo eat?
(could you show your work:))
Answers
Answer:
1/10 of the pie
Step-by-step explanation:
Step-by-step explanation:
5/5-3/5=2/5
2/5-4/5 of itself
This leave 1/5 of 2/5
if we make this decimals then it becomes 0.40
0.40/5=0.08
or 8/100,4/50,2/25
Determine whether this has a maximum or a minimum.
A.
maximum
B.
minimum
C.
both
D.
Not Enough Information
Answers
Answer:
A). minimum
Step-by-step explanation:
I need help getting my grades up, any help would be very appreciated
Answers
Answer:
I can help but it depends on what. I have pretty good grades
Step-by-step explanation:
Answer:
i can do history all the history u have i can do it no maps though no math i can also do language arts
Step-by-step explanation:
What on earth is: 1.92/3 = ? Please help me idk how to do this ;-;
Answers
Answer:0.64
Step-by-step explanation:
yo can someone help me plz, i would app it
Answers
Answer:
Parallel line - y=6x+9
Perpendicular line - y=-1/6x +4
Step-by-step explanation:
Parallel lines have a slope that is equal to the origninal equation. You use the y-y1=m(x-x1) equation. In this case, your y1 is 3 and your x1 is -1. Plug these into the equation along with your slope of 6.
y-y1=m(x-x1)
y-3=6(x-(-1))
y-3=6(x+1)
y-3=6x+6 - Distribute
+3 +3 - Add 3 to both sides
y=6x+9
For perpendicular lines, the slope is the negative reciprocal of the given slope. In this case, the slope is -1/6. Your y1 is 4 and your x1 is 0.
y-y1=m(x-x1)
[tex]y - 4 = - \frac{1}{6} (x - 0)[/tex]
Distribute:
[tex]y - 4 = - \frac{1}{6} x[/tex]
+4 +4
Add 4 to both sides:
[tex]y = - \frac{1}{6} x + 4[/tex]
Evaluate the expression.
When x = 10
X2 - 8x + 11
Answers
Answer:
31
Step-by-step explanation:
Given a
6 and a common
difference of – 12, find the
18th term in the sequence.
Answers
Answer:-210
Step-by-step explanation:6, -6, -18, so, you multiply -12 by 18, and you can find that number. -12 times 18=-216, and -216+the first number 6, equals 210
Write 0.09 as a fraction.
A) 1/11
B) 1/7
C) 1/99
D) 1/9
Answers
Answer:
A
Step-by-step explanation:
0.09=1/11
Answer:
The answer is a
Step-by-step explanation:
Its D because its literly 1/11
write QF if it's Quadratic function and NQF if Not a Quadratic function
Answers
Answer:
1. QF2. NQF3. NQF4. QF5. QF6. Undefined, unclearStep-by-step explanation:
1. f(x) = x^2 + 2
It is a quadratic function as in the format of y = ax^2 + bx + c2. f(x) = 2x - 10
It is linear function, not quadratic3. It is linear function as y- is an arithmetic sequence
Not a quadratic function4. As per the pairs we can determine the function:
y = 1/2x^2 + 1/2xIt is a quadratic function5. The graph is parabola
It is a quadratic function6. Undefined as not clear what is it
help me wth ths qustion
Answers
Answer:
62
Step-by-step explanation:
im pretty sure this is right. sry if its not.
Answer:
62
Step-by-step explanation:
1) 10^3 = 1000
2) 1000 x .062=62
can somone please help with this, will give brainliest.
Bamboo is one of fastestfastest-growing plants. A typical growth rate for bamboo in temperate climates is 3-10 centimeters per day during the growth season. Which of the following equations, where t represents time in days, L represents length in cm, which could be described of the growth of a bamboo plant?
Answers
Answer: maybe c or d, but I could be wrong :/
Step-by-step explanation:
can you help i need to finish this by today!
Answers
2.257 x 9.111 = 20.563527 or 20
120 caleriess in 2 servings 360 caleries in 6 servings
Answers
Answer:
60 calories per serving
Step-by-step explanation:
Divide to find the unit rate of calories per serving.
120 / 2 = 60
360 / 60 = 60
Best of Luck!