Answers
In a parallelogram, the diagonals (the lines inside from corner to corner) bisect each other. That means the two halves of the diagonal are equal to each other.
So
-9-6x=x-30
-9-6x+6x=x-30+6x
-9=7x-30
21=7x
x=3
Related Questions
1/2+1/3+1/6+1/2+1/8+1/4= see problem as an addition problem
Answers
Answer:
1 7/8
Step-by-step explanation:
Find the area of the following triangles:
26.) triaingle has a base of 8 inches and a height of 9 inches
27.)triaingle has a base of 12 cm and a height of 15 cm
28.) triaingle has an area of 60 inches squared, it has a base of 8 inches, what is its height?
29.)triaingle has a base of 16 ft and a height of 1/2 ft
30.)triaingle has a base of 18 m and a height of 12 m
Answers
Answer:
26) 1/2 b×h
= 1/2(8×9)
=1/2(72)
=36
27)1/2b×h
=1/2(12×15)
=1/2(180)
=90
28)a÷b×2
=(60÷8)×2
=15
29)1/2b×h
=1/2(16×1/2)
=1/2(8)
=4
30)1/2b×h
=1/2(18×12)
=1/2(216)
=108
calculate the arthmetic mean of 40,50,60,70,80,90.
Answers
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Answer:
65
Step-by-step explanation:
The six numbers are sequential multiples of 10, so the mean is halfway between the middle two. Halfway between 60 and 70 is 65.
The mean of the 6 numbers is 65.
Help the question is hard
Answers
Answer:
x = - 15
Step-by-step explanation:
Givens
The trick is to let the letters = points of a clock that keeps time this way.
l = 9 oclock
C = 3 oclock
-H= -8
Formula
(x - l) / C = -H
Solution
Substitute the givens into the equation
(x - 9) / 3 = -8 Multiply both sides of the equation by 3
3*(x - 9)/3 = -8*3 Simplify
(x - 9) = - 24 Remove the brackets
x - 9 = - 24 Add 9 to both sides.
x-9+9 = -24+9 Combine
x = - 15
Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length.
a. A function for the edge length of a cube is L(d) = _________________
b. A function for the surface area of a cube is Ald) = _____________
c. A function for the volume of a cube is V(d) = ________________
Answers
Answer:
Step-by-step explanation:
If L is the length of a side, the longest diagonal in the cube is
d = √(L² + L² + L²) = √(3L²) = L√3
meaning
a) L(d) = d/√3 = ⅓d√3
b) A(d) = 6(L(d))² = 6(⅓d√3)² = 6(⅟₉d²(3)) = 2d²
c) V(d) = (L(d))³ = (⅓d√3)³ = ⅟₂₇d³3√3 = ⅟₉d³√3
cathy cut 2 apples into 6slices each she ate 9 slices. wgat experssion mathes the words
Answers
Answer:
3
Step-by-step explanation:
(2 x 6) - 9 = 12 - 9 = 3
Select all the correct answers. Which vectors are unit vectors?
Answers
Answer:
Step-by-step explanation:
[tex](-\frac{1}{3} \sqrt{\frac{7}{2} } )^2+(\frac{1}{3} \sqrt{\frac{13}{2} } )^2\\=\frac{1}{9} (\frac{7}{2} +\frac{13}{2} )\\=\frac{1}{9} (\frac{7+13}{2} )\\=\frac{1}{9} \times10\\=\frac{10}{9} \neq 1[/tex]
not a unit vector.
b.
[tex](\frac{1}{\sqrt{3} } )^2+(-\sqrt{\frac{2}{3} } )^2\\=\frac{1}{3} +\frac{2}{3} \\=\frac{1+2}{3} \\=\frac{3}{3} \\=1[/tex]
it is a unit vector.
c.
[tex](\frac{1}{2} \sqrt{\frac{5}{3} } )^2+(-\frac{1}{2} \sqrt{\frac{7}{3} } )^2\\=\frac{1}{4} (\frac{5}{3} +\frac{7}{3} )\\=\frac{1}{4} (\frac{5+7}{3} )\\=\frac{1}{4} (\frac{12}{3} )\\=\frac{1}{4} (4)\\=1[/tex]
it is a unit vector.
d.
[tex](\frac{3}{\sqrt{7} } )^2+(-\frac{2}{\sqrt{7} } )^2\\=\frac{9}{7} +\frac{4}{7} \\=\frac{9+4}{7} \\=\frac{13}{7} \neq 1[/tex]
it is not a unit vector.
if 5-3(2a+1)=-4+10, what is the value of a+2
Answers
[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]
[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]
[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]
[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]
[tex]\\ \rm\Rrightarrow -6a=4[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]
[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]
Now
[tex]\\ \rm\Rrightarrow a+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]
Answer:
7/3
Step-by-step explanation:
5 - 3(2a+1) = -4 + 10
=> 5 - 6a + 3 = 6
=> 5 - 6 + 3 = 6a
=> 2 = 6a
=> 6a = 2
=> a = 2/6
=> a = 1/3
a + 2
1/3 + 2
=> 1/3 + 6/3
=> 7/3
The number 0,1,2,3,4 and so on are called
Answers
Hope this helps *smiles*
Answers will be auto-submitted when time expires.
1. Answer the question below. (1 point)
Which function is quadratic?
A
X
O
1
2
6
3
0
у
18
12
0
B
х
-3
-1
-2
1
-1
3
5
y
C
८x
-2
4
0
0
2
4
4
16
D
X
1
5
2
7
3
9
4
11
y
Ο Α
Answers
Answer:
Try taking a screen shot as this is indecipherable.
Step-by-step explanation:
If two friends invested in a ratio of 2:3 and earned a profit of Rs. 25,000 on their investments, then the smaller share of the profit is
Answers
If a cubic inch of gold weighs 316 grams, how much does a cubic centimeter of gold weigh?
Answers
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Answer:
19.3 g/cm³
Step-by-step explanation:
There are 2.54 cm in one inch, so the weight of 1 cm³ is ...
(316 g/in³) ÷ (2.54 cm/in)³ = 19.3 g/cm³
find the total distance the model airplane
Answers
Answer:
1833 miles is the total distance if the model airplane.
Which expression represents -8x^2+54x+140 in factored form?
A. (x-70)(-8x+2)
B. (x+1)(8x- 140
C. (x-8)(2x+70)
D. (x+2)(-8x+70)
Answers
Answer:
D. (x+2)(-8x+70)
Step-by-step explanation:
-8x^2+54x+140
Factor out -2
-2(4x^2+27x+70)
Factor
-2(x+2)(4x-35)
Option D is the same answer if we multiply -2 in the second term
(x+2) (-8x+70)
What is the coefficient of the x-term in the expression 4x+5xy-2y
Answers
Can some one please help -18-17 simplified
Answers
Answer:
-35
Step-by-step explanation:
-(18+17)
-35
that should be the answer but don't quote me on it
-18+-17
=-35
that’s the answer
A straight driveway leading to a hotel is 150 feet long and 12 feet wide. It is pave with concrete 6
inches thick. At a cost of $6.25 per cubic foot, how much did the concrete cost.
Answers
Which equation represents the graph?
y = 5|x| + 3
y = 3|x + 5|
y = 3|x| + 5
y = 5|x + 3|
Answers
9514 1404 393
Answer:
(c) y = 3|x| + 5
Step-by-step explanation:
The vertex is at (0, 5), so the basic function has been translated up 5 units.
The slope of each line has a magnitude of 3, so the basic function has been scaled vertically by a factor of 3.
The transformation ...
g(x) = c·f(x) +h
is a vertical scaling by a factor of c, and a translation upward by h units. Here, we have c=3 and h=5. The basic function is f(x) = |x|, so the transformed function shown on the graph is ...
y = 3|x| +5
How do I do this, is the equation 40=ksqrt(65)?
Answers
Answer:
Step-by-step explanation:
Start a little more generally. Carefully find k
distance = k * speed ^2
112 = k*40^2
112 = k * 1600 Divide by 1600
112/1600 = k
k = 0.07
Now do the question you are asked to do.
distance = k * speed^2
distance = 0.07 * 65^2
distance = 295.75
Now having done that, you can set up a proportion.
d1 / d2 = k speed1^2/kspeed2^2 Cancel the ks
112/d2 = 40^2 / 65^2 Cross multiply
112 * 65^2 = 40^2 * d2 Divide by 40^2
112 * 65^2/40^2 = d2 Expand the squares
112 * 4225 / 1600 = d2
295.75 = d2
The second way is shorter, but I suggest the long way until you get comfortable with it.
3.
THREE
THREE
+ ONE=
SEVEN
Answers
9514 1404 393
Answer:
multiple solutions, see the attachment
Step-by-step explanation:
If you allow any digits 0-9, there are 11 possible solutions. Of these, two have the leading digit O = 0, so you may not agree that is an allowable solution.
Each row in the attachment is a possible solution. (Rows 4 and 10 have O=0.)
__
Found by exhaustive search using a computer program. Note that E=7 and N=1 are not hard to find by hand.
Solve for x where 2/x=2exponent x
Answers
Answer:
x = 1
Step-by-step explanation:
2/x = 2^(x)
x = 1
hope that helps
I need help question:how many questions would you need to get correct on a test that has 30 questions to get at least 70% correct?
Answers
Answer:
25
Step-by-step explanation:
Answer:
21 answers.
Step-by-step explanation:
First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:
70% = 70/100 = 0.70
Next, multiply 0.70 with the total amount of questions (30):
30 x 0.70 = 21
21 answers must be correct.
Check:
Divide 21 with 30:
21/30 = 0.70 = 70%
~
Keisha bought these supplies for school:
4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each
5. What was the total cost of the pencils and pens, including a 6% tax?
A
$13.35
B
$10.90
C
$11.55
D
$2.23
.
Answers
Answer:
C. $11.55
Step-by-step explanation:
First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!
Solve for t: 2t/r=d
Answers
Step-by-step explanation:
2t/r=d cross multiply
2t=rd
t=rd/2
Find the measure of ∠Z.
Answers
Answer:
105+105+2x=360 and x=75
Step-by-step explanation:
z=75
Answer:
Step-by-step explanation:
Help help help please hurry
Answers
Answer:
1st is a cilinder
2nd is a sphere
3rd is a rectangle
4th is a cone
formulas for volume..maybe...
Bradley $15 painting a fence for two hours and 30 dollars for pressure washing the patio and deck for 4 hours. Did he learn the same amount per hour for. Both jobs? Explain
Answers
Yes, he earns the same amount per hour for the fence because in two hours he earned 15. The pressure washing and deck was 4 hours and every 2 hours he got 15.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that, Bradley $15 for painting a fence for two hours and 30 dollars for pressure washing the patio and deck for 4 hours.
Bradley $15 painting a fence for two hours, its unit rate is
=$15 / 2 hours
=$ 7.5 per hour
If 30 dollars for pressure washing the patio and deck for 4 hours, the unit rate is
=$ 30 /4 hours
=$ 7.5 / hour
Thus, he earns the same amount per hour for the fence because in two hours he earned 15. The pressure washing and deck was 4 hours and every 2 hours he got 15.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
Find the area of the triangle
Answers
Answer:
12.7 m
Step-by-step explanation:
use pythagorean theorem
[tex]13^{2} + b^{2} = 18.2^{2}[/tex]
rounds to 12.73735
not fully sure if that's right
Amy uses 48-cent stamps and 7-cent stamps to mail a gift card to a friend. If the postage is $2.07, how many of each stamp did Amy use?
Answers
9514 1404 393
Answer:
3 48-cent stamps
9 7-cent stamps
Step-by-step explanation:
The number of 48-cent stamps Amy can use is less than 207/48 ≈ 4.3, so we can find the numbers by trial and error. We want ...
48a +7b = 207 . . . . . . postage in cents, where a, b are the numbers of stamps
b = (207 -48a)/7 = 29 4/7 -a(7 -1/7) = (29 -7a) +(a+4)/7
In order for b to be an integer, we must have (a+4) a multiple of 7. The least value of 'a' that will make this true is a=3. That value gives ...
b = (29 -7·3) +(3+4)/7 = 8 +1 = 9
Amy used 3 48-cent stamps and 9 7-cent stamps.
Which of the following is equal to 3,409? A. ( 3 × 10 4 ) + ( 4 × 10 3 ) + ( 9 × 10 1 ) B. ( 3 × 10 3 ) + ( 4 × 10 2 ) + ( 9 × 10 0 ) C. ( 3 × 10 2 ) + ( 4 × 10 1 ) + ( 9 × 10 0 ) D. ( 3 × 10 3 ) + ( 4 × 10 2 ) + ( 9 × 10 1 )
Answers
Answer:
A=1633
B=1617
C=1610
D=1626
Step-by-step explanation:
I am not totally sure about 3409 ?
None of the following option sum up to 3400 or close.
What is sum ?Sum is addition
According to the question given we have to determine which of the following is 3409.
A. ( 3 × 104 ) + ( 4 × 103 ) + ( 9 × 101 )
= 312 + 412 + 909.
= 724 + 909
= 1633.
B. ( 3 × 103 ) + ( 4 × 102 ) + ( 9 × 100 )
= 309 + ......
C. 300 + 400 + 900 not sum up to 3400.
D. 300 + 400 + 900 again not sum up to 3400
So, none of the following options sum up to or sum up close to 3400.
learn more about simplifying expressions here :
https://brainly.com/question/18077352
#SPJ2