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
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
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
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
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!
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:
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:
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!
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:
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
can you help i need to finish this by today!
Answers
2.257 x 9.111 = 20.563527 or 20
Evaluate the expression.
When x = 10
X2 - 8x + 11
Answers
Answer:
31
Step-by-step explanation:
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.
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]
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%)
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:
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:
hope this helps tell me if im wroung
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
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.
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
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
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:
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
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
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:
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
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.
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
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
i need hellppppppppppp
Answers
Answer:
y = 25x + 100
Step-by-step explanation:
You're welcome!