Please help!! Picture is provided
Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC
Answers
Answer:
DC = 8
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values
[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
16 + DC = 24 ( subtract 16 from both sides )
DC = 8
Answer:
DC = 8
Step-by-step explanation:
The median XY of the trapezoid ABCD is half or the sum of AB and DC.
XY = 1/2 ( AB + DC)
We need to find out DC so we can rewrite this equation isolating DC
XY = (1/2)(AB+DC), multiply both sides by 2
2XY = AB + DC, subtract from both sides AB
2XY - AB = DC, now substitute the given AB = 16 and XY = 12
2* 12 - 16 = DC , using the order of operations rules we multiply first
24 -16 = DC, subtract
8 = DC
Related Questions
The length of the base of an isosceles triangle is x. The length of a leg is 3x - 6. The perimeter of the triangle is 58. Find x.
Answers
Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sided of the triangle.
In an isosceles triangle, there are two equal sides and a base.
Perimeter = ( 3x - 6) + (3x - 6) + x
58 = 7x - 12
58 + 12 = 7x
70 = 7x
[tex]\frac{70}{7} = \frac{7x}{7}[/tex]
10 = x
show your work
2x+y=-4;5x+3y=-6
Answers
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8
The area of a triangle is 30sq. the perimeter of the triangle is 10in. write an inequality that represents the missing side of the triangle.
Is it supposed to be 30 divided by 10?
HELP
Answers
After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?
Answers
Answer:
After substituting We multiply 5 with 9.
Step-by-step explanation:
Given Expression 5 + ( 9x - 3 ) ÷ 2
5 + ( 9 × 5 - 3 ) ÷ 2
5 + ( 45 - 3 ) ÷ 2
5 + ( 42 ) ÷ 2
5 + 21
26
An advertisement for a box of crackers says that the new box has 20% more crackers than the original box. If the weight of the original box was 12 ounces, what is the weight of the new box of crackers?
Answers
Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.
The old box weighed 12 ounces and the new box has 20% more than the old box had.
The new box should therefore weigh 20% more than the old box which means that it weighs:
= Weight of old box x ( 1 + increase in new box)
= 12 x (1 + 20%)
= 14.4 ounces
In conclusion, the new box weighs 14.4 ounces.
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Need help with this ASAP I’ll mark brainliest
Answers
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. how much did Kayla make
Answers
Answer:
7/12
Step-by-step explanation:
Guided Practice
Write the equation of the parabola in vertex form. The vertex is (−3, 3) and the parabola passes through the point (4, 150). Create a rough sketch of the graph to use as a visual aid.
A.
y = 3(x + 3)^2 + 3
B.
y = 4(x − 3)^2 + 3
C.
y = 50(x + 3)^2 + 4
D.
y = 3(x − 3)^2 + 3
Answers
Answer:
A.
y = 3(x + 3)^2 + 3
Step-by-step explanation:
The vertex form of the equation is y=a(x-h)2 + k
You know that the vertex (h,k) is (-3,3) and a point on the parabola is (4,150). So what you’re needed ing to find is a bc all of the other letters can be replaced into the equation.
First I would put the equation into vertex form using the vertex given in the problem. : y= (x - (-3))2 + (3). Then I would use the ordered pair (4,150) and replace the x and y with those values
150 = a(4 + 3)2 + 3
Now simplify
150 = a (7)2 + 3
150 = 49a + 3 Important: please be sure to square.
147 = 49a
3= a
Next replace a into the formula now leaving x and y alone.
y = 3 (x+3)2 + 3 [Vertex form]
I hope this helps. Have a great day!
Answer:
A. [tex]y = 3(x + 3)^2 +3[/tex]
Step-by-step explanation:
The vertex form is:
[tex]y = a(x - h)^2 + k[/tex]
Where [tex]a[/tex] is the variable that determinate if the parabola is facing up or facing down and [tex]h[/tex] is the [tex]x[/tex] coordinate of the vertex and [tex]k[/tex] is the [tex]y[/tex] coordinate of the vertex.
So with the given values we have:
[tex]150 = a(4 + 3)^2 + 3[/tex]
Then isolate [tex]a[/tex] for find the missing value.
[tex]147 = a49\\\frac{147}{49} = a\\3 = a[/tex]
Then the final answer is [tex]y = 3(x + 3)^2 +3[/tex]
Find the solution set of this inequality. Enter
your answer in interval notation using grouping
symbols.
| 2x+3 | <= 3
Answers
Answer:
-3 ≤ x ≤ 0
Step-by-step explanation:
2x + 3 ≤ 3
2x ≤ 0
x ≤ 0
-2x - 3 ≤ 3
-2x ≤ 6
x ≥ -3
Can someone double-check this to see if it's right?
Answers
Answer:
yea it is
Step-by-step explanation:
Are the line y=x+3 and y=x-3 perpendicular
Answers
Answer:
no
Step-by-step explanation:
to be perpendicular the second equation would have to be -x (the opposite of x)
these lines are parallel
Answer:
No, not perpendicular
Step-by-step explanation:
Compare the slopes of the two lines. In each case the slope is 1. Therefore the slopes are not negative reciprocals of one another, and the lines are NOT perpendicular.
if 9^x = 1/27, find the value of x
Answers
[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]
A farmer has two tractors. The probability that
tractor 1 will break down is 3% and the
probability that tractor 2 will break down is
5%. What is the probability that both tractors
will break down on a given day? Give your
ansineras
Answers
Step-by-step explanation:
the break down probabilities are for the same given day ? one day ?
if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).
that would be horrible. a tractor would only work for about a month without major repair.
because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.
but the description does not say anything about that. so, we have to go with the primary assumption.
so, the question is about the probability that both things happen at the same time (the same day).
this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36
5% = 0.05 (5% is 5 hundredths) = 5/100
3% = 0.03 (3% is 3 hundredths) = 3/100
now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015
that means the probability in % is 0.15%
that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).
I need help. Maths; sets
Answers
Answer:
14
Step-by-step explanation:
The number of elements in M is 31, so let's make set M the set of the first 31 natural numbers.
M = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31}
Set N has 18 elements. We need to choose 18 elements to place in set N.
The union of sets M and N has 35 elements. That means that since set M contributes 31 elements to the union, set N only contribute 4 new elements to the union. That means that 14 of the 18 elements in N are in common with set M.
Set N can be:
N = {18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35}
Answer: 14
Plzzzz help meeee plzzzz
Answers
Answer:
i. 2040 ii.1632
Step-by-step explanation:
I think i did this right..
7th grade math
3/4 times 1/2
Answers
Answer:3/8
Step-by-step explanation: 3/4 x 1/2 = 3/8
g/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.
Answers
Answer:
[tex] \frac{4}{(g + 4) ^{2} }[/tex]
Step-by-step explanation:
Factor the expressions that are not already factored in g/g² + 4g.[tex] \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } [/tex]
Cancel out g in both numerator and denominator.[tex] \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } [/tex]
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.[tex] \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } [/tex]
Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.[tex] \frac{g + 4 - g}{(g + 4) ^{2} } [/tex]
Combine like terms in g+4−g.[tex] \frac{4}{(g + 4) ^{2} } [/tex]
Expand (g + 4)².[tex] \frac{4}{g^{2} + 8g + 16 } [/tex]
Hope It's Help
terrell is going to the salem fair. it costs $5 to get into the fair and $.75 per ride. if he only has $20, how many rides can terrell ride?
Answers
there are 549 coins in a bottle. 1/3 of the coins are £1 coins. 164 of the coins are 50p coins. the rest are 20p coins. work out the total value of the 549 coins in pounds
Answers
Answer:
£ 305.4
Step-by-step explanation:
[tex]549*\frac{1}{3}*1+164*0.5+(549*\frac{2}{3}-164)*0.2\\\\=183+82+40.4\\\\=305.4[/tex]
2.3/2.4 representing slope in proportional relationships
Answers
Answer:
Ok
Step-by-step explanation:
Ok
Jim Climbed 80 mountains in 10 months. Find his climbing rate in mountains per month
Answers
Answer:
If he climbed 80 mountains in the span of 10 months then you should divide the 80 by 10 which makes it 8.. so I believe the correct answer is 8 mountains per month
Answer:
Jim climbed 8 mountains per month and 10 mountains in 1.
Step-by-step explanation:
This means that he can climb 8 times as many mountains in one year, whether that is within the next 9 months or not depends on how much time he has available to do it.
I started some of it but i’m really confused with the rest. Does anyone know how to do it?
Answers
Answer:
-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7
Step-by-step explanation:
when x increases by one, so does y. The slope of the line is 1 btw.
Someone plsss help with this one
Answers
Answer:
B) The amount of service fee, in dollars
Step-by-step explanation:
Look for words relating to "one time," as that indicates the constant
easy one - giving brainly if correct - show work.
teacher said it was wrong, anyone know the right answer? answer both!
Answers
Answer:
$9.68 per Hour, $11.72 per Hour.
Step-by-step explanation:
What you thought of..
10% of original pay wage = $0.80
Sofia's Pay Wage will be incremented by 10% of $8 every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + ti
1 Year = 12 Months
$8 + ($0.80 x 2) = $9.60
In 1 Year, Sofia's Pay Wage will be $9.60 per Hour
$8 + ($0.80 x 4) = $11.20
In 2 Years, Sofia's Pay Wage will be $11.20 per Hour
What I Thought Of..
Sofia's Pay Wage will be incremented by 10% every 6 Months.
Function:
Sofia's Pay Wage = e
Original Pay Wage = o
Increment = i
6 Months = t
e = o + t(ei)
1 Year = 12 Months
($8 + {10% of Sofia's Pay Wage}) = $8.80
($8.80 + {10% of Sofia's Pay Wage}) = $9.68
In 1 Year, Sofia's Pay Wage will be $9.68 per Hour
($9.68 + {10% of Sofia's Pay Wage}) = $10.65
($10.65 + {10% of Sofia's Pay Wage}) = $11.72
In 2 Years, Sofia's Pay Wage will be $11.72 per Hour
Brainly? (I spent a while on this)
Answer this middle school math equation for 30 points lol
Answers
Answer:
n
Step-by-step explanation:
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
Multiply both sides by -5:
[tex]-\frac{1}{5} (x-4)=-2[/tex]:
[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]
[tex]1(x-4)=10[/tex]
[tex]x-4=10[/tex]
Add 4 to both sides:
[tex]x-4+4=10+4[/tex]
[tex]x=14[/tex]
For what value of the variable will the expression 8b-27 be equal to the following? -11
100 POINTS
BRAINLIEST IF CORRECT
Answers
Answer:
2
Step-by-step explanation:
8b - 27 = -11
8b = 16
b = 2
The variable b will equal 2
Let's check
8b-27=-118b=-11+278b=16b=2Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answers
Answer:
502
Step-by-step explanation
108 has the numbers 0, 1, and 8 which added together totals 9
603 has the numbers 0, 3, and 6 which added together totals 9
360 has the numbers 0, 3, and 6 which added together totals 9
502 has the numbers 0, 2, and 5 which equal 7
502 is the odd one out
If 15 & 36 are two sides of a right triangle what other number makes a Pythagorean Triples.
Answers
Answer:
39
Step-by-step explanation:
15^2 +36^2 = c^2
225 + 1296 = 1,551
√1551 = 39
A aluminum bar 4 feet long weighs 24 pounds. What is the weight of a similar bar that is 3 feet 3 inches long?
A. 29.54 LBS
B. 3 LBS
C. 19.50 LBS
D. 78 LBS
Answers
Answer:
C. 19.50 lbs
Step-by-step explanation:
3 feet 3 inches is nearly 4 feet, but is a little shorter. That means the weight of the bar will be nearly 24 pounds, but a little less.
It cannot be 29 or 78 pounds, because those weights are more than 24 pounds. It cannot be 3 pounds, because that weight is significantly less. The only viable answer choice is 19.50 pounds.
__
We assume the weight is proportional to the length. Then the weight (w) of the shorter bar will be ...
w/39 = 24/48 . . . . . weight in pounds/length in inches
w = 39(24/48) = 39/2 = 19.5
The weight of the shorter bar is 19.5 pounds.
A rectangle has one side of 10cm. How fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
Answers
10x15 = 150
10x18 = 180 and so on.
The answer is that the area of the rectangle increase by 30 cm every minute!
30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
A rectangle has one side of 10cm
We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
This can be written as A=10x
Now differentiate with respect to t.
dA/dt=10 dx/dt
increasing at 3cm per minute
dx/dt=3
dA/dt=10 (3)
dA/dt=30
Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute
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