Complete Question:
The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.
Answer:
[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]
[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram DGRY
Dimension: [tex]\angle D = \frac{5}{2}\angle Y[/tex]
Required
Find the measure of each angle
D and R are opposite sides & G and Y are also opposite sides.
So, we have:
[tex]\angle D = \angle R = \frac{5}{2}\angle Y[/tex]
and
[tex]\angle G = \angle Y[/tex]
The sum of angles is given as:
[tex]\angle D + \angle G + \angle R + \angle Y=360^{\circ}[/tex]
Substitute values for [tex]\angle D, \angle G \ \& \angle R[/tex]
[tex]\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}[/tex]
Take LCM
[tex]\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}[/tex]
[tex]\frac{14\angle Y}{2}= 360^{\circ}[/tex]
Multiply both sides by [tex]\frac{2}{14}[/tex]
[tex]\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}[/tex]
[tex]\angle Y= 360^{\circ} * \frac{2}{14}[/tex]
[tex]\angle Y= \frac{ 360^{\circ} *2}{14}[/tex]
[tex]\angle Y= \frac{720^{\circ}}{14}[/tex]
[tex]\angle Y= 51.43 ^{\circ}[/tex]
So:
[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]
[tex]\angle D = \frac{5}{2}\angle Y[/tex]
[tex]\angle D = \frac{5}{2} * 51.43^{\circ}[/tex]
[tex]\angle D = \frac{5* 51.43^{\circ}}{2}[/tex]
[tex]\angle D = \frac{257.15^{\circ}}{2}[/tex]
[tex]\angle D = 128.57 ^{\circ}[/tex]
Hence:
[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]
What is the value of s?
units
luca sells muffins and juice boxes. muffins are $1.50 each and jucie boxes are $1.25 each. write an algebraic expression for the total income luca received from the sale of muffins and juice boxes
Answer:
1.5m+1.25j
Step-by-step explanation:
m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.
Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.
Add the income from both of them to get the total income, and you get 1.5m+1.25j.
Hi if u could help me that'd be great
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
Answer:
Everybody, everybody
Get out on the floor
It can get a little crazy
When the kick hits the floor
Make a scene Make a scene
Nobody can ignore
Don't knock it, til you rock it
We can't take it no more!
Bring the lights up!
Bust the doors down!
Dust yourself off,
Shake it up!
Shake it up!
DJ set it off!
Take it up a notch
All together now!
Shake it up!
Shake it up!
Step-by-step explanation:
(⌐■_■) ( •_•)>⌐■-■
ᕙ(^▿^-ᕙ)
Answer:
(‿!‿) ԅ(≖‿≖ԅ)
Step-by-step explanation:
PLS HELP I WILL GIVE BRIANLY!!
2/5 x 5/4 in fraction in its simplest form
Answer:
The answer is 1/2. When you multiply the numerator and denominator, you get 10/20. If you divide the top and bottom by 5, you get 1/2.
The equivalent value of the fraction is A = 1/2 = 0.5
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = pq
when the value of p = 2/5
And , when the value of q = 5/4
On simplifying the equation , we get
A = ( 2/5 ) ( 5/4 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 2/5 ) ( 5/4 )
A = ( 2/5 ) ( 5/4 )
A = ( 2 x 5 ) / ( 5 x 4 )
On simplifying , we get
A = 10/20
Divide by 10 on the numerator and denominator of the fraction , we get
A = 1/2
A = 0.5
Therefore , the value of A = 1/2 = 0.5
Hence , the fraction is A = 1/2 = 0.5
To learn more about fractions click :
https://brainly.com/question/29766013
#SPJ6
ANOTHER ONE 3 HELP ME AGAIN BEFORE TIME RUNS OUT.
Answer:
the answer is parallel lines
Which expression shows the factored form of 16x + 12y - 4 PLZZZZZZZ HELP I WILL LIST YOU BRIANEST
answers:
4(4x +3y)
4(4x +3y – 1)
16(x +4y – 12)
A.14xy
Answer:
It is 4(4x + 3y - 1) I just did this quiz
Step-by-step explanation:
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
A price is decreased by 15% and is now £731
work out the original price
.
Answer:
840.65
Step-by-step explanation:
Resuelve
Ritmo de cambio. Cada uno de los siguientes datos es la pendiente de una recta que representa los ingresos diarios y en términos del tiempo X en días. Utilizar la pendiente para interpretar
la variación en los ingresos correspondiente a un incremento de
un día
a). m =800
b). m =250
c). m = 0
Answer:
800m
Step-by-step explanation:
porque incremento de un día
A triangle has an area of 72 cm² and a base of 10 cm². What is the height of the triangle?
Answer:
14.4
Step-by-step explanation:
Area= 72 cm^2
Base= 10 cm
height= ?
Area= base x 1/2 x height
72 = 10 x 1/2 x h
72= 5 x h
72/5 = h
h= 14.4
3 1/3 x 3 =??
Not quite understanding
Answer:
10
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
3 1/3 * 3 = 10
WILL GIVE BRAINLIEST AND 20 POINTS!
One side of a square room measures 24 ft. How many square yards of carpet are necessary to carpet the room? Hint: 1 yd2 = 9 ft2.
yd2
Answer:
2.6
Step-by-step explanation:
24 ft. divided by 9 is 2.6666666666...
Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?
Answer:
28.39 ftStep-by-step explanation:
The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.
The angle opposite the ladder is 25°, slide has the length of x.
sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ftI WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
huan's wage is £10.40 per hour l. he receives a 10% pay rise
Answer:
Step-by-step explanation:
10% of 10.40=1.04
10.40+1.04=11.44
plz help me and show your work, will give brainliest to who ever answers first and is right.
Answer:
6
Step-by-step explanation:
2y=12
Divide each term by
2
and simplify.
y
=
6
Answer:
x = -2 and y = 3
Step-by-step explanation:
plug in the x = 3y - 8 into the x for the top equation
so it looks like this...
-3(2y - 8) + 2y = 12
solve
-6y + 24 + 2y = 12
-4y + 24 = 12
-24 -24
-4y = -12
divide bye -4
y = 3
plug in y = 3 on the second equation
x = 2y - 8
x = 2(3) - 8
x = 6 - 8
x = -2
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and the y values in Rae's table is not a function. One of the values of x is missing from Rae's table, as shown. What is a value of x that Rae could use to complete her table to show that the relationship between x and y is not a function? explain your answer
Answer:
Any of x = {-3, 5, -1, 0}Step-by-step explanation:
Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.
x = -3, 5, -1, 0This will result in repeat of x-values with different corresponding y-values.
PLLZZZ HELPP I HAVE EXAMM
PLZZZZZZZZZZZ
I need help on my warm up!! pls thx!
Step-by-step explanation:
[tex] \tt{30.16 = 17.56 + 5x} [/tex]
Swap the sides of the equation :
⤑ [tex] \tt{17.56 + 5x = 30.16}[/tex]
We want to remove the 17.56 first.
Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :
⤑ [tex] \tt{5x + 17.56 - 17.56 = 30.16 - 17.56}[/tex]
Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.
⤑ [tex] \tt{5x = 12.6}[/tex]
Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.
⤑ [tex] \tt{ \frac{5x}{5} = \frac{12.6}{5}} [/tex]
Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.
[tex] \pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Unknown angle problems (with algebra)
Solve for x in the diagram below.
20
3.cº
100°
O
T =
question 7 is in the pic
Answer:
B.
Step-by-step explanation:
This is the information the histogram represents.
Hope it helps!
Answer:
B I think?
Step-by-step explanation:
Hope its right
The graph shows the relationship between the radius and volume for many cones whose height is 6 inches. Select ALL true statements about such cones.
Answer:
E. If the radius of the cone is 2 inches, the volume of the cone is 25 cubic inches.
B. The relationship between radius and volume is not linear.
Step-by-step explanation:
The true statement regarding the cones should be
If the radius of the cone is 2 inches, the volume of the cone is about 25 cubic inches.
The relationship between radius and volume is not linear.
What is the volume of cone?
The volume of the cone should be equivalent to one-third of the volume of the cylinder that contains a similar radius of the base and height. Here V means the volume, r means the radius and h means the height.
According to the graph, we can say that in the case when the radius should be 2 inches so the volume should be 25 cubic inches. And, the relation between the radius and the volume should not be linear.
learn more about cone here: https://brainly.com/question/10710386
what is 22
+ 60 is it 87 , 650 , or 82, or 67
Answer:
82
Step-by-step explanation:
vote brainiest plzz
Which of the following lists the missing reasons in the respective order?
Alternate Interior Angle Theorem, ASA, CPCTC
Vertical Angle Theorem, ASA, CPCTC
Linear Pair Postulate, SSS, CPCTC
Reflexive Property, CPCTC, AAS
Answer:Vertical Angle Theorem, ASA, CPCTC
Step-by-step explanation: It's definitely a vertical Angle .
2x^2+2x is it simplified
Answer:
Yes it is simplified
Step-by-step explanation:
2x^2 is not a like term to 2x because 2x does not have an exponent. Therefore, you cannot add 2x to 2x^2. So it is as simplified as it can be at this point
Mrs. Jones attended a Southern Living home party. She purchased a vase which cost $34.99. The shipping charge was $3.00, and 8.25% sales tax was paid on the subtotal which included the shipping charge. How much did she pay for the vase?
Answer:
Step-by-step explanation:
1.0825×(34.99+3) = $41.124175, and the government always rounds up.
$41.13
Help need answers quick (unprofessional behavior and wrong answers will get reported)
Answer:
step 2 is the answer. when you start the question it's already in pemdas order. 48÷6 equals 8 then multiply it by the other 8 then you can add that quotient to the 10 which is 74 then subtract it by 7 and you get 67. step 2 goes the wrong way and ads the 8 with the 10 before multiplying the 8 by the 8 making everything go in wrong turns.
Can somebody plz help answer these questions correclty (like what each letter equals) thanks :3
WILL MARK BRAINLIEST WHOEVER CAN ANSWER THIS FIRST :DD
Answer:
X=12
y=34
z=45
m=33
n=27
z=27
Step-by-step explanation:
there u go
Answer:
23) x -3 = 9
x=9+3=12
24) y-11=23
y=23+11=34
25) z-8=37
z=37+8=45
26) m-16=17
m=17+16=33
27) n-9=18
n=18+9=27
28) z-14=13
z=13+14=27
(a) Reflect the point (7, -9) across the y-axis:
(b) Reflect the point (7, -9) across the x-axis:
Answer:
(-7,-9) and (7,9)
Step-by-step explanation:7,-9 so we do across the x so you need a graph for this now x goes left so we plot the coordinates in the third box 7,-9 is in the 4 box so after we plotted that you can see it reflects.Now y coordinate since the y line goes up we plot the coordinates on top of the 4 box where our original coordinates stay now it should be 7,9 the y becomes positive which is 9.
This is not a web answer i answered myself took me some time!
