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]
4) easy- solve for x
Answer: - 8
Step-by-step explanation:
x/4 - 5 = -7
=> x/4 = -2
=> x = -8
Answer:
x=−8
Step-by-step explanation:
Add 5 to both sides
x/4-5+5=-7+5
x/4=-2
4x/4=4(-2)
x=-8
Which shows the image of rectangle ABCD after the rotation (x, y) → (–y, x)?
Answer:
The answer is A
Step-by-step explanation:
I got it right
Answer:
Answer choice A is correct.
Step-by-step explanation:
I'm smort UwU
the following two triangles are similar. Find the missing side length represented by x. Please help i am almost done.
Answer:
7 inches
Step-by-step explanation:
First, you make an imbalanced equation: 22.75/x=13/4. Then you cross multiply: 22.75 * 4= 91. Then divide 91/13 = 7.
HELPPP PLZ :(( I WILL MARK BRAINLIEST PLZZZ
Answer:
y = -3/2x + 2
The line starts on (0,2) and then it run 3 spaces down and 2 spaces to the right. Hope this helps, thank you !!
18,54,162,... what is the 8th term.
Answer: 39,366
Step-by-step explanation:
a(n)= 3*a(n-1)
Therefore a(8)=3(a7)
Answer:
39366
Step-by-step explanation:
Hope this can help you.But if it's wrong,im so sorry
Have a great day
A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is the better buy.
Answer:
The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.
Step-by-step explanation:
In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:
64-ounce container: 6.50/64=0.10
48-ounce container: 4.25/48=0.08
According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.
is this exponential growth or decay y=6e^-x
Answer: It's always decreasing/decaying.
Step-by-step explanation: To find if it is increasing or decreasing, graph the exponential problem.
1. Start at the top.
2. Look at the exponent.
The exponent is -x. Since negative means opposite/down, it goes down.Therefore, it's always decaying.
a: b = 2:7
a² = 36
Work out the two possible values of b.
Answer:
21
Step-by-step explanation:
Given:a²=36
a=✓36
a=6
a:b=2:7
6:b=2:7
can be written as
6/b=2/7
2b=6*7
b=6*7/2
b=21
Twenty divided by the difference of seven and three. Numerical expression
Answer:4
Step-by-step explanation:20 divided by(7-3)
What is the value of the 3 in 16.35 ?
Answer:
3 tenths
Step-by-step explanation:
The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
We know, A number has two values face value and place value,
Given, A decimal number 16.35.
Now, The digit 3 is one digit after the decimal,
So, It has a face value of 3 and a place value of 3×10⁻¹.
learn more about face value and place value here :
https://brainly.com/question/23719802
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Every person in a medical study is assigned a six-letter code, using only the letters A, B, C, and D. Which simulation tool(s) could be used to find the experimental probability that a code will have at least four A's?
random number list
colored discs
coin
die
Answer:
I don't know girl
Step-by-step explanation:
bc I don't know girl
Answer:ummm wht?
Step-by-step explanation:
What is the total surface area of the
triangular prism shown?
12 in.
9 in.
10 in.
15 in.
468 in2
ОООО
540 in2
576 in2
Ос
d
700 in2
Question 3 (1 point)
Answer:468 in2
Step-by-step explanation:
can u help me plss i’ll give u brainliest
Answer:
The answer is
Step-by-step explanation:
Pls help me with this question
C.the solution of the system is (3,-2) because that is the point where the two lines intersect
D.the solution of the system does not appear on the graph because the axes are shown only from -5 to 5
Answer:
its b
Step-by-step explanation:
it's b yup yup yeah yeah
Please help asap!! I will mark you as brainliest :)
Answer: 46
Step-by-step explanation:
-3x>18
(not in high school in middle school)
Answer:
x<-6
Step-by-step explanation:
-3x>18
Divide by -3, flip the sign since dividing by a negative.
x<-6
Answer:
x < -6
Step-by-step explanation:
simplify the following 7+(-10)
Answer:
-3
Step-by-step explanation:
Seven plus negative ten is the same as seven minus 10. 7-10=-3
Answer:
-3
Step-by-step explanation:
all you have to do is switch the 10 and 7 and you get -10+7. then subtract the two and use the sign of the bigger number which is a negative sign
The probability of a fair coin landing heads-up in one toss is 1/2.If a coin is
tossed 20 times, how many times would the coin be expected to land heads-
up?
20
1
10
2
Answer:
10/20 because then it's still a 50 50 chance so the answer it 10
In September, Louise planted a tree. Every month, the tree Louise planted grew 2 inches. What would the constant of proportionality of the line be?
Answer:
i think it would be 2 inches
Step-by-step explanation:
Can someone help please??
If 3x−y=12, what is the value of
8x/2y ?
A) 2 to the 12th power
B) 4 to the 4th power
C) 8 to the 2nd power
D) The value cannot be determined from the information given.
Answer:
A) 2 to the 12th power
Step-by-step explanation:
[tex] \frac{8x}{2y} = \: \frac{ {2}^{3x} }{2y} = {2}^{12} [/tex]
8 m (cubic meters) = dm3 (cubic decimeters)
Answer: 8000 dm³
Step-by-step explanation:
1 m³= 1000 dm³
----------------------------------------------------
Given
8 m³= dm³
Solve
8 m³ × 1000 dm³/m³=8000 dm³
Hope this helps!! :)
Please let me know if you have any questions
How please help me and explain bc I have no clue how
Can you do no7 doesn’t matter if u do just one part everything will help
La suma de las edades de los hermanos Carlos y Felipe es igual a la edad de su tía María; Si María tiene 29 años y Carlos tiene 13 años, ¿Cuántos años tiene Felipe?
Answer:
16 años
Step-by-step explanation:
Si la suma de la edad de Carlos y Felipe es igual a la de Maria, y en la pregunta nos dan la edad de Maria (M) y Carlos (C), entonces tenemos que encontrar la edad de Felipe. Para calcular esto necesitamos restar la edad de Carlos de la edad de Maria. Esto nos dara la edad exacta de Felipe (f).
M - C = f
29 - 13 = f
16 = f
Finalmente, vemos que la edad de Felipe es de 16 años
Someone please help :( what is the slope??
Answer:
c 5/7Step-by-step explanation:
look up a slope calculator online
33+2 + 33
How do I solve this
Answer:
68
Step-by-step explanation:
33+2= 35
35+33=68
Determine the midpoint between the points (-3,-2) and (3,-8).
Answer:
(0,-5)
Step-by-step explanation:
Simplify: (4 – 5) – (13 – 18 + 2).
Answer:
2
Step-by-step explanation:
(4 - 5) - (13 - 18 + 2)
According to PEMDAS, we should simplify the parentheses first.
= (-1) - (-3)
When you subtract a negative number, you are actually adding.
= -1 + 3
Now, add.
= 2
Hope this helps!
Figure ABCD is reflected across the y-axis.
What are the coordinates of A' B', C. and D'?
Enter your answer by filling in the boxes.
AOD
10-0-7
B'OD
D'OD
Answer:
yreflection in y-axis (x, y) → (-x, y) **the sign of the x-coordinate changes, the y value stays the same**
A'(1, 4)
B'(5, 8)
C'(5, 4)
D'(4, 2)
Step-by-step explanation:
Answer:
A'(1, 4)
B'(5, 8)
C'(5, 4)
D'(4, 2)
Step-by-step explanation:
took the test
Write the following mixed number as an improper fraction.
1 1/5
Answer:
6/5
Step-by-step explanation:
1 would equal 5/5 so add another 1 to get 6/5