Answer:
28.274
Step-by-step explanation:
Examine parallelogram ABCD below.
Determine which of the following values are correct. Select three that apply.
A
m2D = 105
B
m2A = 75°
C
m2 = 93°
D
m2B = 87°
E
x = 16
F
x = 19
Given that,
∠C = (6x-21)° and ∠A = (4x+11)°
To find,
Choose the correct option.
Solution,
For a parallelogram, the opposite angles are equal. ATQ,
(6x-21)° = (4x+11)°
Taking like terms together,
6x-4x = 21 + 11
2x = 32
x = 16
∠C = (6x-21)° = 6(16) -21 = 75°
So, ∠A = 75°
So, ∠A = ∠C = 75°. Hence, the correct option is (B).
how many vertices does a prism with 54 edges have?
Answer:
13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.
Type: Johnson J53 - J54 - J55
Faces: 2x2 triangles 1+2x2 squares 2 hexagons
Edges: 22
Vertices: 13
36000 candidates appeared in examination.Out of these,45% were girls.If 80% boys and 70% girls were passed,find the passed percent.
Answer:
75.5 % of all candidates passes
Step-by-step explanation:
36000 x .45 = 16200 x .7 = 11,340 girls passed
36000 x .55 = 19800 x .8 = 15,840 boys passed
total of boy and girls who passed = 27,180
27,180 out of 36,000 equals 75.5%
If 45 out of 100 people said that they read
the newspaper every day, how many
people out of 500 would be expected to
read one every day?
Answer:
225
Step-by-step explanation:
X/500 = 45/100
100(x) = 45(500)
100x = 22500
X = 22500/100
The price of a bicycle was reduced from $120 to $90. By what percentage was the price of the bicycle reduced?
Answer:price of the bicycle was reduced by 25%
Step-by-step explanation:
Step 1
Old Price of bicycle = $120
New Price of bicycle= $90
Price decrease= $120-$90= $30
Step 2
Percentage decrease = Decrease / Original price x 100
= (30/120) x 100
1/4 x 100
= 25%
Therefore the percentage decrease in the price is 25%
There are 12 red gummy bears in a jar of 60 gummy bears what is the percentage of the gummy bears in the jar that are red
10) Stan has $55. He wants to buy a belt that costs $14 and some T–shirts that cost $9 each. How many T–shirts can he buy?
a) Let n represent the number of T–shirts and translate into an inequality. b) How many T–shirts can he buy?
Answer:
4 T- shirts
Step-by-step explanation:
55- 14 = 41
41$ left and each T- shirt is 9$
count by 9s until you reach 41
9, 18, 27, 36 , 45
36 is the highest
y = j(11 + k) ^ 2 when j = -4 and k = 1
Thank you so much !!!❤️❤️❤️
Please show your work !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
2 is true
Step-by-step explanation:
SInce the angles of a triangle add up to 180 c is equal to 50 because 100+30=130 and 180-130=50
By the Converse of the Base Angles Theorem or the Isosceles Triangle theorem if 2 angles of a triangle are congruent then the sides opposite are also congruent. By the definition of an isosceles triangle if a triangle has 2 equal sides it is isosceles.
The price of an item has been reduced by 20%. The original price was $65. What is the price of the item now?
Answer:
$52
Step-by-step explanation:
1.First find out how much is 20% of $65
So:
20/100 × 65/1 = 1300/100 = 13
So 20% of $65 is $13
2. Subtract the amount of percentage, which is $13, from the original price, which is $65, to get the new price.
So:
$65 - $13 = $52
The new price or price of the item now is $52
I hope this helps!
please help i don’t understand
9514 1404 393
Answer:
3
Step-by-step explanation:
Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).
The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.
Pls help??????????????
Answer:
perpendicular
Step-by-step explanation:
L1: find the slope
rise: 2 - (-5) = 7
run: -1 - (-3) = 2
m1 = 7/2
L2:
rise: 2 - 4 = -2
run: 7 - 0 = 7
m2 = -2/7
parallel means same slope m1 = m2
perpendicular means opposite reciprocal (flip and change signs)
7/2 flip and change signs = -2/7, yes thus it is perpendicular
A maple tree stands 7 1/4
feet tall. Sandy is going to trim the tree by 2 1/3 feet. How tall will the maple tree be after it is trimmed?
Answer:
4 11/12 feet tall
A worm crawled the first 4 hours of its journey at speed of 15
meters per hour and the remaining 7 hours at 12 meters per
hour. How far is the whole journey in meters?
meters
Answer:
144 meters.
Step-by-step explanation:
If he starts the first 4 hours at 15 meters per hour, he will have traveled 60 meters. If he does the rest of the 7 at 12 meters per hour, he will have traveled another 84 meters. If you add them together you get a total journey of 144 meters.
PLEASE i need help it's for a math test and i'm lost
Answer:
x^3 - 9[tex]x^{2}[/tex] + 27x - 27
Step-by-step explanation:
Gabrielle went out to her garden and cut 3 roses from the first rose bush, 5 roses from the second rose bush, 9 roses from the third rose bush, and 15 roses from the fourth rose bush. If this pattern continues, how many roses will Gabrielle cut from the fifth rose bush?
Answer:
23 roses from the fifth rose bush
Step-by-step explanation:
3 roses from the first rose bush
5 roses from the second rose bush
9 roses from the third rose bush
15 roses from the fourth rose bush
Odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
roses from the second rose bush = next odd number after 3
= 5
roses from the second rose bush
= 2 next odd number after 5
= 9
roses from the fourth rose bush
= 3 next odd number after 9
= 15
how many roses will Gabrielle cut from the fifth rose bush?
roses Gabrielle cut from the fifth rose bush = 4 next odd number after 15
= 23
23 roses from the fifth rose bush
how many terms of series 64+16+4 have the sum 5461\64?
Answer:
5th term will approximate 5461/64
Step-by-step explanation:
5th term will approximate 5461/64
64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33
help is severely needed
Answer:
Bear with me here
Step-by-step explanation:
I don't actually know how to solve this, I have geometry later this year. I just hope to be able to set it up for you.
Ok, so BE and CE are perpendicular. This means that they make a 90 degree angle. we can write in the boxes to signify if you want. We also know that the angles CDE and DCE have the same angle. I don't know how to put this is math terms, but that means that ADE and BCE have to be the same as well. If x(the angle of ADE and BCE)is the same, then CDA must be x + (mystery angle). if ADE and BCE are the same, and a triangle's angles add up to 180, then DAE and EBC must be the same as well. Not sure if this actually helps, I'm not able to give a straight answer but it's the best I can do with what I know.
i cannot do graphs to save my life someone help!
Answer:
It is the second one
Step-by-step explanation:
In the standard (x, y) coordinate plane, what is the y-coordinate of the midpoint on
the line segment between the points (-6, 2) and (3, -10)?
Given: Points (-6, 2) and (3, -10).
To find: The y-coordinate of the midpoint of the line segment formed by the given points.
Answer:
Let's first find out the mid-point.
Formula to find the mid-point of a line segment:
[tex]\tt \bigg(\dfrac{x_1\ +\ x_2}{2}, \dfrac{y_1\+ \ y_2}{2}\bigg)[/tex]
From the given data, we have:
[tex]\tt x_1\ =\ -6\\\\x_2\ =\ 3\\\\y_1\ =\ 2\\\\y_2\ =\ -10[/tex]
Using these in the formula,
[tex]\tt Mid-point\ =\ \bigg(\dfrac{-6\ +\ 3}{2}, \dfrac{2\ +\ -10}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, \dfrac{-8}{2}\bigg)\\\\\\Mid-point\ =\ \bigg(\dfrac{-3}{2}, -4\bigg)[/tex]
The y-coordinate of the mid-point of the line segment formed by the points (-6, 2) and (3, -10) is -4.
Hope it helps. :)
Identify and state the pattern of odd number and even numbers for the following sequences of numbers.
a) 11, 16, 19, 24,..., 83, 88
Answer:
Step-by-step explanation: add 5, add 3
24+5= 29,
29+3= 32,
etc
Help! How do you solve ?
20 points !!
Answer:
Let the required side be x.
[tex] {x} = \sqrt{ { (\sqrt{2})}^{2} + {(4)}^{2} } \\ = \sqrt{2 + 16} \\ = \sqrt{18} \\ = \boxed{ 3 \sqrt{2} }[/tex]
3√2 is the right answer.helppppppppppp OMG pleaseee
Answer:
It is
1/c^93
Step-by-step explanation:
5. Verify the property a× (b-c)= a×b-a×c for each of the following:
a= -3\5; b= 5\9; c= -10\3
Answer:
We conclude that
[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]
[tex]-\frac{7}{3}=-\frac{7}{3}[/tex]
L.H.S = R.H.S
Step-by-step explanation:
Given the property expression
[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]
Given that:
a = -3/5b = 5/9c = -10/3Determining the LEFT-HAND SIDE
[tex]a\times \left(b-c\right)[/tex]
substituting a= -3/5, b= 5/9 and c= -10/3
[tex]a\times \left(b-c\right)\:=\:\:-\frac{3}{5}\times \left(\frac{5}{9}-\left(-\frac{10}{3}\right)\right)\:\:\:\:\:\:\:\:\:\:\:\:[/tex]
[tex]=-\frac{3}{5}\times \:\left(\frac{5}{9}+\frac{10}{3}\right)\:\:\:[/tex]
[tex]=-\frac{3}{5}\times \frac{35}{9}[/tex]
[tex]=-\frac{7}{3}[/tex]
Determining the RIGHT-HAND SIDE
[tex]\:a\times \:b-a\times \:c[/tex]
substituting a= -3/5, b= 5/9 and c= -10/3
[tex]\:a\times \:b-a\times \:c=ab-ac[/tex]
[tex]=-\frac{3}{5}\left(\frac{5}{9}\right)-\left(-\frac{3}{5}\right)\left(-\frac{10}{3}\right)[/tex]
[tex]=-\frac{3}{5}\cdot \frac{5}{9}-\frac{3}{5}\cdot \frac{10}{3}[/tex]
[tex]=-\frac{15}{45}-\frac{30}{15}[/tex]
[tex]=-\frac{1}{3}-2[/tex]
[tex]=\frac{-7}{3}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{7}{3}[/tex]
Therefore, we conclude that
[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]
[tex]-\frac{7}{3}=-\frac{7}{3}[/tex]
L.H.S = R.H.S
if u help me I would very much like that. thx and gm
Answer:
12.8 and 20
Step-by-step explanation:
y=3.6x+2 [x=3 and x=5]
y=3.6(3)+2 = 10.8 + 2 = 12.8
y=3.6(5)+2 = 18 + 2 = 20
The total charge for a yearly Internet DVD rental membership is $231. A registration fee of $15 is paid up front, and the rest is paid monthly. How much do new members pay each month, m?
Answer:
New members pay each month = $18 per month
Step-by-step explanation:
Given:
Total rental membership = $231
Advance registration fee = $15
Find:
New members pay each month
Computation:
Number of month in year = 12
Fee after registration = $231 - 15$
Fee after registration = $216
New members pay each month = Fee after registration / Number of month in year
New members pay each month = 216 / 12
New members pay each month = $18 per month
Answer:
Step-by-step explanation:
UR MOM
the radius of a circle is 4 feet. What is the circle's area? Use 3.14 for .
I need the square feet
Answer:
Approximately 50 square feet (50.24 to be exact)
Step-by-step explanation:
If you're using 3.14 for π, and the area of a circle is A=πr2,
(3.14)(4)^2 =?
(3.14)(16) = 50.24
Therefore the answer would be about 50 square feet.
Answer:
25.12
Step-by-step explanation:
can someone simplify
APP IT will HELP SIDJIDNUDNUD
beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
Answer:
Step-by-step explanation:
Beth is painting at a rate of 6/5=1 1/5 room per hours
The time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that at top speed, Beth could paint 5 identical rooms during one 6 hour shift. Therefore, the time it will take for Beth to paint a single room is,
Time for a single room = Time taken to paint / Number of rooms
= 6 hours / 5 rooms
= (6/5) hours per room
= 1 1/5 hours per room
Hence. the time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
Stefan sells Jin a bicycle for $150 and a helmet for $18. The total cost for Jin is 140% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent $
Answer:
168
Step-by-step explanation:
Stefan sells Jin a bicycle for $150 and a helmet for $18. The total cost for Jin is 140% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent $ because you said "Stefan spent originally to buy the bike and helmet" so the answer would be 168