Answers
Answer:
a) x = 10
b) DA = 24
c) perimeter = 110
Step-by-step explanation:
a) Since it's a parallelogram, the opposite sides are of equal length. This means that line DC = AB, so u can substitute in the values and solve for x:
DC = AB
5x - 18 = 2x + 12 (move terms so that like terms are on the same side)
5x - 2x = 12 + 18 (simplify like terms)
3x = 30 (divide by 3 on both sides to isolate the x)
x = 10
b) now that u know the value of x, you can use it to find the length of DA. again, opposite sides are equal, so DA = BC, which means DA = 3x - 6. substitute in your known value of x and solve:
3x - 6
= 3(10) - 6
= 30 - 6
= 24
Therefore, the length of DA - 24
c) Since u know the length of DA (and therefore BC), u just have to find the length of either DC or AB and then multiply that by 2 and add it.
First, substitute in the value of x for either DC or AB (i'm gonna use AB)
2x + 12
= 2(10) + 12
= 20+12
= 32
now, to find the perimeter use this formula: 2(AB) + 2(DA)
this equals to 2(32) + 2(24) = 64+46 = 110
and that's the perimeter!
hope this helps!
Related Questions
Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats and 1/2 cups raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?
Answers
Answer:
2 1/6
Step-by-step explanation:
The combined amount in cups needed can be determined by adding the cups of rolled oats with the cups of raisins
[tex]1\frac{2}{3} + \frac{1}{2}[/tex]
[tex]1 \frac{4 +3}{6}[/tex]
= [tex]1\frac{7}{6}[/tex]
Converting the improper fraction to mixed fraction gives
[tex]1 + 1\frac{1}{6}[/tex]
[tex]2\frac{1}{6}[/tex]
A can contains 24 fluid ounces of fruit juice. how many pints of juice does the can contain?
Answers
Answer:
I believe it contains 1.5 pints of juice.
Step-by-step explanation:
Workout 2/7+1/5 and then simplyfy it
Answers
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
I need some help on this question! I will mark if you help!
Answers
Answer:
not completely sure, but if 81 is the total degree, then the answer should be 37, all u have to do is subtract....i think
Step-by-step explanation:
sorry if wrong. good luck
Answer: 37°
Step-by-step explanation:
whole angle=81
81-44=37
2)
What is the value of x when x-3 = 10?
A)
-13
B)
-7
0
D)
13
Answers
Answer:
13
Step-by-step explanation:
help me out ? ty I’ll give brainliest
Answers
Answer:
it will
Step-by-step explanation:
33.46
hope it helps and your day will full of happiness
The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Which statements are true? Select each correct answer.
The car makes a complete revolution in 12 s
The maximum height of the Ferris wheel above ground is 50 yd.
If the car is loaded at 0s, then people are loaded at the lowest height of the Ferris wheel.
The radius of the Ferris wheel is 25 yd
Answers
Answer:
The true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd
Step-by-step explanation:
The values of the table of the given Ferris wheel are presented here as follows;
[tex]\begin{array}{cc}Time \ (seconds) &Height \ (yards)\\0&30\\3&55\\6&30\\9&5\\12&30\\15&55\\18&30\\21&5\\24&30\end{array}[/tex]
From the table, we have;
The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s
∴ The time it takes the car to complete one revolution = 12 s
The maximum height of the Ferris wheel = 55 yards
The lowest height of the Ferris wheel = 5 yards
The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s
If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel
The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel
∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards
The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel
∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards
Therefore, the true statements are;
The car makes one complete revolution in 12 s
The radius of the Ferris wheel is 25 yd.
I am about to go on trip help
Answers
Answer:
1 inch = 8 miles
112÷14=8, so one inch is 8 miles.
Can I get help with this
Answers
Answer:
X = 60
Y = 50
Step-by-step explanation:
The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.
On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.
What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?
Answers
Answer:
y=-x-4
Step-by-step explanation:
in the sequence 1.7, 5.1, 15.3, 45.9, 137.7, ... a geometric sequence?
Answers
Answer:
Step-by-step explanation:
A geometric sequence has a common ratio from term to term. Any term divided by the previous term will be a constant, common ratio.
5.1/1.7=3, 15.3/5.1=3, etc So the common ratio is 3 and thus it is a geometric sequence.
John is saving money for a new TV. He would like to save
at least $500. He earns $15 each week and has $125
saved up. Which inequality best describes the number of
weeks he must save his money?
Answers
Answer:dada
Step-by-step explanation:
dada
Jack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?
Answers
Answer:
76 fl. oz. (see below)
Step-by-step explanation:
With the info:
(Jack) begin: 48 fl. oz.
end: 3/4 of 48 fl. oz.
(Jill) begin: 48 fl. oz.
end: 2/3 of 48 fl. oz.
(Bill) begin: 48 fl. oz.
end: 1/6 of 48 fl. oz.
How much they spilled (sum):
First, find the amounts they spilled individually:
(Jack) (3/4) (48) = how much spilled
= 144/4
= 36 fl. oz.
(Jill) (2/3) (48) = how much spilled
= 96/3
= 32 fl. oz.
(Bill) (1/6) (48) = how much spilled
= 48/6
= 8 fl. oz.
36 + 32 + 8 = 76 fl. oz. spilled
Which quadrant does the terminal side of a -145° angle lie in?
Answers
-145 = -90 - 55
This means we move counterclockwise through quadrant IV (4) and into quadrant III (3)
There are 30 animals up for adoption, and the ratio of fish to hamsters is 1:2 , how many hamsters are up for adoption?
Answers
Answer:
20
Step-by-step explanation:
If the ratio of fish to hamster is 1:2 meaning that there are 2 times as much as hamsters than fish. Since I don't know if there is any other animals involved. My guess are that there are 10 fishes and 20 hamsters
Answer: 20 hamsters You're welcome :)
Step-by-step explanation: On the ratio, you would have to plus from the 1 & 2 ratios which, is (10 + 20) equals 30
You travel 36 miles north and then 15 miles east. How far are you from your starting point?
Answers
Answer:
21 is the correct answer because
If y = kx, where k is a constant,
and y = 30 when x = 6, what is
the value of y when x = 3?
Answers
Answer:
Step-by-step explanation:
Actually it's 11 because 11 is technically the same when added to constant of x =6 = 11
explain how to multiply 15 3/4 x 8
Please help! I don't have that long until it needs to be turned in.
Answers
Answer:
Step-by-step explanation:
The easiest way is to use the distributive rule. 15¾ = 15+ ¾
15¾*8 = (15+¾)8 = 15*8 + ¾*8 = 120+6 = 126
Try solving this: (5 3/4) (2)
Answers
Answer:
11 1/2
Step-by-step explanation:
(2x2 + 3x - 1) + (x2 - x + 2)
Answers
I hope it helps
Answer:
x = 2
Step-by-step explanation:
7x -1 + x+2
6x = 3
x = 2
!;!;!;?;/;/;/;/;/;;
GUYS PLS HELP!!
all i need to know is what x is please
Answers
Answer:
Option C
Step-by-step explanation:
Area of the composite figure = Sum of the areas of three rectangles given
= (3x)(x) + 4x + 3(3x)
= 3x² + 4x + 9x
= 3x² + 13x
Since, area of the figure = 82
Therefore, expression representing area of the figure is,
3x² + 13x = 82
Option (C) will be the answer.
Here, x is a variable.
And we can get the value of x by using quadratic formula.
Help asap plsss thank youuuuu!
Answers
WILL GIVE BRAINLIEST!!!
What are the zeros of this function?
−8
−9 and 10
1
−2 and 4
Answers
Answer:
-2 and 4 maybe
Step-by-step explanation:
can someone please help me, i put it at 40 points :) please help.
Answers
Answer:
5x + 2
Step-by-step explanation:
X is going to be the "number"
5 times the number
and then add two
Answer:
2 + 5 x n
Hope this helps
Find the value of y when x = -5.
y=6r
When x= -5, y=
Answers
Answer:
6
Step-by-step explanation:
Because y isn't it's number
write number 5 million 4 thousand 3 hundread in standard form
Answers
5 million, four thousand, three hundred in standard form is 5.0043 x 10^6
Solution:
Need to represent 5 million, four thousand, three hundered in standard form
5 million = 5000000
4 thousand = 4000
3 hundred = 300
5 million, four thousand, three hundred = 5000000 + 4000 + 300 = 5004300
In standard form, decimal comes after first digit and multiply to power of 10 dependency on total digits of number.
In our case, given number is 5004300.
So we need decimal after first and after that multiplying it by appropriate power of 10. So,
5004300 = 5.0043 x 10^6
Hence 5.0043 x 10^6 is standard form of 5004300 that is standard form of 5 million, four thousand, three hundred.
Rosie spent a total of $9.36 over 4 weeks. She spent the same amount of money each week. How much money did Rosie spend each week?
Answers
Answer:
2.34
Step-by-step explanation:
9.36÷4 =2.34
you divide on 4as showen
Can someone help me pleaseeeeee 60 points
A company uses the expression 1.03^(2+x) to calculate the total percent increase in the company's operating cost, where x represents the number of years since the company began operating.
Which expression could be used to calculate the same total percent increase in the company's operating cost?
a.) 1.03^2 + 1.03^x
b.) 1.03^2 * 1.03^x
c.) 1^(2 + x) + 0.03^(2 + x)
d.) a^(2 + x) * 0.03^(2 + x)
Answers
Answer: is D
Step-by-step explanation:
Answer:
(B)
Step-by-step explanation:
According to exponent rules, a^(x+y) = a^x * a^y:
1.03^(2 + x) = 1.03^2 * 1.03^x
Solution: (B)
75% of b is 11 what is b
Answers
Answer:
14.67
Step-by-step explanation:
27 = 54
value that would make it true
Answers
Answer:
2
Step-by-step explanation:
27 = 54,
let's say the value that will make it true is x
So then,
27 * x = 54. If we divide both sides by 27, we have
x = 54 / 27
x = 2
The value that will make it true is multiplying 27 by 2