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
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Answers
Given info:- X = √(4-√7) and Y = √(4+√7)
Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?
Explanation:-
Given that:
X = √(4-√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ X = √[2{(4-√7)}/2]
⇛ X =√[(8-2√7)/2]
⇛ X =√[{(7+1)-2√7{/2]
⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]
It is in the form of a²-2ab+b²
Where , a = √7 and b = √1
⇛X = √[{(√7-√1)}²/2] [∵(a-b)² = a²-2ab+b²]
⇛ X = (√7-√1)/√2
⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)
and
Y = √(4+√7)
It can be written as
On multiplying and dividing by 2 in the squre root
⇛ Y = √[{2(4+√7)}/2]
⇛ Y =√[(8+2√7)/2]
⇛ Y =√[{(7+1)+2√7}/2]
⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]
It is in the form of a²+2ab+b²
Where , a = √7 and b = √1
⇛Y = √[{(√7+√1)}²/2] [∵(a+b)² = a²+2ab+b²]
⇛ Y = (√7+√1)/√2
⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)
On adding Eqⁿ (1) & Eqⁿ(2)
→ X+Y = (√7-1)/√2+(√7+1)/√2
→ X+Y = (√7-1+√7+1)/√2
→ X+Y = (2√7 )/√2
→ X+Y = (√2×√2×√7)/√2
→ X+Y = √2×√7
→ X+Y = √14 — — — — Eqⁿ(3)
On Subtracting Eqⁿ(2) from Eqⁿ(1)
→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]
→ X-Y =[ (√7-1 )-(√7+1)]/√2
→ X-Y = (√7-1-√7-1)/√2
→ X-Y = (-1-1)/√2
→ X-Y = -2/√2
→ X-Y = -(√2×√2)/√2
→ X-Y = -√2 — — — — Eqⁿ(4)
On multiplying Eqⁿ(1)& Eqⁿ(2)
→ XY = [(√7-1)/√2][(√7+1)/√2]
→ XY = (√7-1)×(√7+1)/(√2×√2)
→ XY = [(√7)²-(1)²]/(2) [∵(a+b)(a-b) = a²-b²]
→ XY = (7-1)/2
→ XY = 6/2
→ XY = 3 — — — — — Eqⁿ(5)
Now,
The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²
It can be written as
⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²
From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)
⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²
⇛ (2/3) + (9×14)+(14)
⇛ (2/3)+(126)+(14)
⇛ (2/3)+140
⇛ [2+(3×140)]/3
⇛(2+420)/3
⇛ 422/3
Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.
If you have any doubt, then you can ask me in the comments.
Please help me. I'm struggling with my math
Answers
Answer:
a. (4, -3)
b. (-2.5, -4)
Step-by-step explanation:
a. 2x - 4y = 20
x = 4
step 1: plug in x value
2(4) - 4y = 20
8 - 4y = 20
Subtract 8 on both sides
-4y = 12
divide both sides by -4
y = -3
b. y = 6x + 11
2x - 3y = 7
step 1: plug in the y value
2x - 3(6x + 11) = 7
step 2: distribute
2x - 18x - 33 = 7
add 33 from both sides and combine like terms
-16x = 40
divide both sides by -16
x = -2.5
Okay now you plug in the x value to solve for y
y = 6(-2.5) + 11
y =-4
What is the slope of the graph?
Answers
Hope you get this
No Mistakes
Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.
At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)
Answers
Answer: Leah made more money by 1,996 dollars more than Gemma,
Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars
What Is the value of x?
A: x = 2.25
B: x = 11.25
C: x = 13
D: x = 22
Answers
Step-by-step explanation:
I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD
Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).
Answers
16-8=8
Step-by-step explanation:
That what be the suitable answer, x standing for the pencils that stayed in the box
Which equation could best be used to determine the value
of f(3) for the function f(x) = 2x + 4?
1) f(3) = 23+ 4
2) f(3) = 2(3)+4
3) f(3) = 3(2x) + 4
4) f(3) = 3(2x + 4)
Answers
Answer:
2) f(3) = 2(3)+4
Step-by-step explanation:
What is p squared in math?
Answers
Convert .45 to a fraction help for brainlist! with explaintion
Answers
Answer: 9/20
Step-by-step explanation:
Answer:
9/20
Explanation:
0.45
Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.
Simplify the fraction. Divide both the numerator and the denominator by 5.
9/20
Hope this helps! :)
solve the following equation
d) 0 = 12 + 2 ( m - 8 )
pls pls pls pls plz plz answer steps
Answers
[tex] \: \: \: \: \: \: \: \: [/tex]
[tex]m = 2[/tex]
Step-by-step explanation:
[tex]0 = 12 + 2(m - 8)[/tex]
remove the parentheses and distribute 2 through the parentheses[tex]0 = 12 + 2m - 16[/tex]
calculate the difference[tex]0 = - 4 + 2m[/tex]
move the variable to the left hand side and change its sign[tex] - 2m = - 4[/tex]
divide both sides of the equation by -2[tex] = m = 2[/tex]
hope it helps[tex] \: \: \: [/tex]
Answer:
m = 2
Step-by-step explanation:
0 = 12 + 2 ( m - 8 )
→ Expand the brackets
0 = 12 + 2m - 16
→ Add 16 to both sides
16 = 12 + 2m
→ Minus 12 from both sides
4 = 2m
→ Divide both sides by 2
2 = m
Write the line (-5,-6) with slope 2/5 in point-slope form
Answers
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?
Answers
Answer:
May we assume "f-'(x)" means the fiurst derivative of f(x)? I'm not sure what f-'(x) sign means, if not that. The answer assume this is the first derivative. No graphs are shown, so I'll add one.
Step-by-step explanation:
f(x) = 2x + 3
f'(x) = 2
The graph would be a staight vertical line through x=2. The slope of the line f(x) = 2x + 3 is 2
5/9 rounded to the nearest thousand
Answers
0.556
Explanation:
When you divide 5 by 9, you get the answer 0.5555….
Simply count to the thousandth place after the decimal and round which gives the answer: 0.556
(b)
Write down the integer value of x that satisfies 16 < 3x < 20
Answers
Answer:
x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.
Step-by-step explanation:
Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)
Which variable expression represents the following word phrase?
one-half the sum of a number and three
Answers
Answer:
The correct choice should be B.
Tell me if I'm wrong.
plz help??????????????????????
Answers
Answer:
Step-by-step explain
i did not do the 1 and 2 srry
divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining
Answers
Answer:
72
Step-by-step explanation:
If it wrong i'm sorry
an investor owns shares of stock a and stock b. the investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
Answers
Answer:
a = 80 shares of stock A
b =120 shares of stock B
Step-by-step explanation:
Solved by creating a system of equations
Let a be number of shares of stock A
B number of shares of stock B
a + b = 200
9.5a + 27b = 4000
Solving the two equation
a = 80 shares of stock A
b =120 shares of stock B
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
Answers
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;
Answers
plzz helpp what's (12+9⁷)+1284
Answers
Answer:
4784265
Step-by-step explanation:
(12+9⁷)+1284
12 + 4782969 + 1284
4784265
To resolve this issue first we have to remember the rules to resolve a numeric expression, see:
Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]
Okay?!A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One day, the equipment elevator begins to descend. After seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that time, which elevator is deeper?
The position of the equipment elevator relative to the surface is (blank) feet
Answers
Answer:
272
Step-by-step explanation: I had i
−7a − 12q + 6a + 13q + 4a − 7a
Answers
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
Does 2/3 = 4/9? Explain
Answers
Answer:
No
Step-by-step explanation:
2/3 > 1/2
4/9 < 1/2
Answer:
The left side ( [tex]\frac{2}{3}[/tex] )
0.6 (bar notation)
does not equal to the right side ( [tex]\frac{4}{9}[/tex] )
0.4 (bar notation)
, which means that the given statement is false.
False
maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?
Answers
Answer:
7 T-Shirts
Step-by-step explanation:
Given:
100 Dollar
30 = sweater
42 = Jeans
4 each = t-shirts
Solution:
30+42 = 72
100-72 = 28
28/4=7
Therefore she can buy 7 T-Shirts.
Answer:
7 shirts
Step-by-step explanation:
100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)
28 (money) / 4 (shirt cost) = 7 (shirts)
Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.
Find the value of x in the equation below. 2.7+x=11.7
Answers
HI I REALLY NEED HEP PLEASEE
Answers
Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.
Hope this helps
What is the probability of selecting an 8 from a standard deck of 52 playing cards, not keeping it, then selecting the ace of clubs? Type your answer in simplified fraction form.
Answers
Answer:4/13
Step-by-step explanation:
It is 4*(4/52)
negitive ten is no less than two times a number plus fourteen
Answers
Answer:
Negative 12
Step-by-step explanation:
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
If Store A spend $10,000 more on advertising than store B, then what will be predicted in their sales according to the regression equation?
Answers
Answer:
more sales than b
Step-by-step explanation:
if they invert more in the thing of a company then they will have more ganancia.