The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of
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]
Solving Quadratic Functions
Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
V70
Estimate the square root of the number below to the nearest tenth
What is it !, help !
Answer:
an isosceles triangle
Step-by-step explanation:
it has two equal sides so this is isosceles triangle
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
O 60 cm
O 1207 cm
O 300 cm3
O 1200 cm
Answer:
Step-by-step explanation:
Area of base = πr² = 25π sq cm
Volume = πr²h = 300π cu cm
The floor of a rectangular living room is 12 feet by 16 feet. What is the distance between
opposite corners of the living room?
Answer:
The width of Dana's living room is 16 feet.
Explanation:
Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.
For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:
a
2
+
b
2
=
c
2
Let the length of 12 be
a
and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let
c
be 20. Substituting and solving gives:
12
2
+
b
2
=
20
2
144
+
b
2
=
400
144
−
144
+
b
2
=
400
−
144
0
+
b
2
=
256
b
2
=
256
√
b
2
=
√
256
b
=
16
Markus buys an old bike for £50. He cleans it up and sells it for £60. What is his percentage profit?
3. Find the slope of the line that passes through (8, 1) and (3, 2). *
Answer:
your learning about slopes too :(
Step-by-step explanation:
Slope = change in y over change in x.
Slope = (2-1) / (3-8) = 1/-5 = -1/5
The answer is -1/5
I NEED EQUATIONS for 20 i need two more pls
Answer: like math equations that equal twenty?
Step-by-step explanation:
.5 times 40
4 times 5
2 times 10
3 times 6.2/3
Just to name a few
Answer:
4 times 5
the square root of 400
10 plus 10
2 to the 2nd power plus 4
30 minus 10
40 minus 20
50 minus 30
the absolent value of -20
5 to the 2nd power minus 5.
Step-by-step explanation:
Hope it Helps?
1.How will you determine the center and radius given the equation of the circle
in standard form? in general form?
2.How will you determine the equation of the circle given the center and radius ?
Answer:
Step-by-step explanation:
Circle Standard Form
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.
Mary has 20 biscuits in a tin there are 11 plain biscuits 7chocolate biscuits 2 currant biscuits sue takes at random 2 biscuits from the tin work out the probability that the 2 biscuits were not the same type?
Which best describes the reflection?
Naomi and Hudson work at a dry cleaners ironing shirts. Naomi can iron 35 shirts per hour, and Hudson can iron 20 shirts per hour. Naomi and Hudson worked a combined 13 hours and ironed 395 shirts. Write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked. Define the variables that you use to write the system.
Answer:
Given that Naomi and Hudson work at a dry cleaners ironing shirts, and Naomi can iron 35 shirts per hour, while Hudson can iron 20 shirts per hour, knowing that Naomi and Hudson worked a combined 13 hours and ironed 395 shirts, to write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked, the following logical reasoning should be performed:
Naomi, working 13 hours, can iron up to 455 shirts (13 x 35), with which, every hour that Hudson has worked and she does not imply a decrease of 15 ironed shirts. Since 455 - 395 equals 60, and 60/20 equals 3, it is determined that Hudson worked 3 hours, while Naomi worked 10 hours.
Thus, the proposed inequality would be the following:
35Y + 20X = 395
Jeanne needed to buy 258 yards of fabric, if the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars?
Answer:
Step-by-step explanation:
1 yard is equal to 3 foot
10¢= 1 foot
30¢= 1 yard
30¢ x 258 yards= $77.40
If x is to y as 4 is to 5, then what is y : x?
Answer:
4:5
Step-by-step explanation:
You are doing ratios
1/3 of 18 using a tape diagram.
Answer:
6 6 6
____ ____ ____
The perimeter of the triangle is 34 cm. Solve for x.
X-3
x-3
5x-2
X =
type your answer.
Answer:
x=6
Step-by-step explanation:
The first thing you do is combine all the equations.
[tex](x-3)+(x-3)+(5x-2)=34\\7x-8=34\\7x=42\\x=6\\[/tex]
Now, with some quick algebra, you got it!
Subtract the mixed numbers
4 1/2 - 1 11/12
Choose the correct difference
A.)2 1/3.
B.)9/3.
C.)4.
D.)6 1/6
Answer: 4 1/2 - 1 11/12 = 2 1/3 but in decimal form 2.3
From the set {7.8, 8.5, 9.1, 9.9}, use substitution to determine which value of x makes the equation true. 3.2 (x - 6.7) = 5.76
Answer:
8.5
Step-by-step explanation:
Given the equation :
3.2(x - 6.7) = 5.76
x - 6.7 = 5.76 / 3.2
x - 6.7 = 1.8
x = 1.8 + 6.7
x = 8.5
Answer:
8.5
Step-by-step explanation:
This items has Parts A and B.
Please scroll to the bottom of the page to answer each part.
Complete each of the 2 activities for this Task.
Use the information to answer the following questions.
Describe the probability of each given outcome using one of the phrases shown.
Certain
Likely
Unlikely
Neither likely nor unlikely
Impossible
Activity 1 of 2
Part A: A bag contains 10 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Which phrase BEST describes the probability?
A.
Likely
B.
Neither likely nor unlikely
C.
Certain
D.
Impossible
E.
Unlikely
Activity 2 of 2
Part B: A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar change from Part A?
A.
Yes, because it is still less likely to have an outcome of drawing a Twix.
B.
Yes, because there are still only two possible outcomes.
C.
No, because it is still less likely to have an outcome of drawing a Twix.
D.
No, because there are still only two possible outcomes.
Answer: part A: ( E : unlikely )
Step-by-step explanation:
Is the function represented by the table non-linear?
х
у
6
4
7
2
8
0
9
-2
Answer:
the top answer
Step-by-step explanation:
Ricardo bought $46.23 worth of groceries and paid with a $100 bill. How much change did he receive?
Answer:
Step-by-step explanation:
You will need to subtract the amount paid from the total amount
100 - 46.23
= 53.77
Ricardo will receive $53.77 in change. :)
brainliest for the correct answer
Answer:
5.5 ft ^2
Step-by-step explanation:
1.5 * 5= 5.5
Hi I need help with #9 please I’m not sure what I’m supposed to do on this
Answer:
assuming ABCD is a parallelogram angleB+angleA=180°
Step-by-step explanation:
118°+2x+7+9x-33=180
125+11x-33=180
92+11x=180
11x=180-92
11x=88
x=88/11
x=8
✌
b(b-5)²=0
what is the answer?
Answer:
this is your answer..
OK hope this is k
helpful for you.
Michael buys a computer that is on sale for 10% off the original price. The original price is $38 more than the sale price. What is the original price of the computer?
Answer:
380
Step-by-step explanation:
10%->38
100%-> 38÷10×100=380
In the book club, the girl to boy ratio is 6 to 9. If there are a total of 45 students, how many girls are there
what is the actual length?
Answer:
Step-by-step explanation:
2ft
How do you accurately graph lines in algebra
Answer:
Start by plotting the y-intercept which is (0, b).
Find another point using the slope (m) with the y-intercept at the reference point.
Connect the two points with a ruler.
Step-by-step explanation: