Answers
Answer:
x = 21
Step-by-step explanation:
[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]
The value of x and y are 21 and 20 degrees respectively.
What is linear pair?
Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
WE are given two adjacent angle (5y + 10) and (3x + 7)º
These angles make a linear pair so,
(5y + 10) + (3x + 7)º = 180
Also, we can see that angle Y and (3x + 7)º lies on a straight line then;
y + (3x + 7)º + 90 = 180
(3x + 7)º = 180 - 90 - y
(3x + 7)º = 90 -y
Now replace (3x + 7)º by 90 - y in the first equation.
(5y + 10) + (3x + 7)º = 180
(5y + 10) + (90 - y )º = 180
Finally, simplify;
4y + 100 = 180
4y = 80
y = 20
Now, (3x + 7)º = 90 -y =90 - 20
(3x + 7)º = 70
3x = 70 - 7
3x = 63
x = 21
Hence, the value of x and y are 21 and 20 degrees respectively.
Learn more about angles;
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Related Questions
Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?
Answers
Answer:
475 pencils in each box
Step-by-step explanation:
950/2= 475
Youd divide 950 by 2 where 2 represents the 2 boxes
Which of these is parallel to y= 4x-2
y=5+4x
y=4-3x
y=4x+1
y=5-4x
y=4x-4
Answers
Answer:
y=4x+5(the first one)
y=4x+1
y=4x-4
Step-by-step explanation:
If the slope is the same, it is parallel
The equation for a linear equation is y=mx+b
mx is the slope
your original equation is y=4x-2, so the slope is 4.
To find which ones are parallel, you find the ones with the slope 4x(make sure it isn't -4x).
Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1 1/5 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?
Answers
Answer:
109.33 boxes
Step-by-step explanation:
The first step is to calculate the total number of tape
= 32.9 × 4
= 131.6 m
Therefore the total number of boxes that Samuel will use to seal the boxes can be calculated as follows
= 131.6/ 1 1/5
= 131.6 ÷ 6/5
= 131.6 × 5/6
= 658/6
= 109.33 boxes
What equal to 3(x+y)
Answers
Answer:
Step-by-step explanation:
3(x+y)= 3x+3y,
you have to multiply the number with each term that is in parenthesis
Answer:
3x+3y
Step-by-step explanation:
3x+3y is pretty much the simplified version.
All employees of the Crafton Company are paid $0.375 for each wrench set they pack. How much would Kenny Pace earn if he packed 1,740 wrench sets in one week of work
Answers
Answer:
$652.50
Step-by-step explanation:
1740*0.375=652.5
PLEASE HELP!! PLEASE HELP!! (also answer my other questions too)
A shipping company has 3 different sized cube boxes. The volume of the boxes are 216in^3, 512in^3, and 1000in^3. Mia need to ship a gift with a height of 7 inches.
What is the height, in inches, of the smallest box Mia can use?
Answers
Answer:
A shipping company has 3 different sized cube boxes.The volume of 1 box is 216 in 3=648.The volume of 2 box is 512 in 3=1536.The volume of 3 box is 1000 in 3 = 3000.
So, Mia needs to ship a gift with a height of 7 inches.
648 , 1536-3000
-816
Step-by-step explanation:
Can someone please help me and show all the work step by step please
Answers
Step-by-step explanation:
[tex]m\angle {ADC}=134°[/tex]
According to the diagram
[tex]\angle {ADB}+\angle{BDC}=\angle{ADC}[/tex]
[tex]\longrightarrow\sf 5x+4+7x-2=134 [/tex]
[tex]\longrightarrow\sf 12x+2=134 [/tex]
[tex]\longrightarrow\sf 12x=134-2 [/tex]
[tex]\longrightarrow\sf 12x=132 [/tex]
[tex]\longrightarrow\sf x=\dfrac {132}{12}[/tex]
[tex]\longrightarrow\sf x=6 [/tex]
[tex]m\angle{BDC}=7x-2=7×6-2 =40°[/tex]
Can somebody answer this short word problem but show the steps when u get answer thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answers
Answer:
8 dozen gingerbread men
Step-by-step explanation:
2 + 3 = 5
120 ÷ 5 = 24
24 x 4 = 96
96 ÷ 12 = 8
Information:
-5 raisins for each gingerbread man
-Buys 4(120) raisins= 480 raisins
-Dozens
Steps:
Use the equation: 480=5x, where x=number of gingerbread man
Divide both sides by 5 to eliminate x
= x=96
Next, divide that by 12 because the question is asking how many DOZENS.
96/12 = 8
Write a linear function f with the values f(−1)=8 and f(5)=6.
Answers
Answer:
f(x)=-1/3x+7 2/3
Step-by-step explanation:
Find the slope:
m= -1/3
Find the y-intercept:
b= -7 2/3
please help me
you just need to form quadratic equations
Answers
Answer:
The value of x is 6
Step-by-step explanation:
The formula of the area of the rectangle is A = l × w, where
l is its lengthw is its widthIn the rectangle ABCD
∵ AB = 2x cm
∴ l = 2x
∵ AD = x cm
∴ w = x
→ Use the formula of the area above to find its area
∵ A = 2x × x
∴ A = 2x²
∵ The area of the shaded region = 50 cm²
→ When the shaded region removed, then the remaining area is the
unshaded region
∵ The area of unshaded region = 22 cm²
∵ The area the ABCD = area the shaded region + area unshaded region
∴ A = 50 + 22
∴ A = 72 cm²
→ Equate the two right side of A
∵ 2x² = 72
→ Divide both sides by 2
∴ x² = 36
→ Take √ for both sides
∴ x = 6
∴ The value of x is 6
look at the picture please
Answers
Answer:
c
Step-by-step explanation:
the top one goes inside the radical and the bottom one is the root
will give brinley crown thing! show your work and explain...
- 109 + 9x = 86 - 4x
Answers
Answer: x=15
Step-by-step explanation: it’s all in the picture hope this helps!
Answer: x= 15
Step-by-step explanation:-109+9x=86-4x
⇒13x-195=0
⇒13x=195
⇒x=
195
13
⇒x=15
Solve The System: 3x + y = 7
4x + 2y = 16
Answers
Answer: 3x+y=7 answer for that one is x=7/3-y/3
4x+2y=16 the answer for that is x=4-y/2
Step-by-step explanation:
I need help with number 8
Answers
Answer:
I believe the answer is B I had a question like this as well i'm pretty sure its B
Step-by-step explanation:
What was the result of medical advancements made during the Gupta Empire?
quarantine of the sick
proper diet and nutrition
vaccination against disease
education about germs and illness
Answers
Answer:
A.) quarantine of the sick
Step-by-step explanation:
A lot of people on this same question were saying that A is right.
----------------------------------------------------------------------------------------------------
Please do not come at me...
Answer:
It's C: vaccination against disease
Step-by-step explanation:
I know many people are saying A, B, or D but their all wrong I picked C and got it correct. Hope this helped (sorry I'm late)
X^2+7x=-49 what is x?
Answers
Answer:
In x + 2 = 7, x is a variable, but we can work out its value
Step-by-step explanation:
HELPPPP PLEASE ASAPPPP
Answers
Answer:
it the 3rd one
Step-by-step explanation:
because you are comparing the it
Maria paid $240 for a table set after a discount of 40%. What was the original price?
Answers
Answer:
The original price was 400 dollars.
Step-by-step explanation:
400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.
Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.
Answers
Answer:
six
Step-by-step explanation:
Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.
It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.
Find the sale price of the item. Round to two decimal places if necessary. Original price: $245.89 Markdown: 70% The sale price is
PLEASE ANSWER DUE IN 20 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
$73.77
I'm not sure if I understood the question correctly
explain it in the comments
Step-by-step explanation:
If what I think the question is asking is correct, theres a 70% sale on the full price which is $245.89
70% of 245.89 is 172.123, so now you subtract the sale(172.123) from the original price(245.89)
245.89 - 172.123 = 73.767
If the question was asking a different thing explain it in the comments and I'll answer it for you
What is the slope of this graph? (1,6) A 2 3.0) B В
Answers
Answer:
-3
Step-by-step explanation:
pls mark as brainliest
The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s
(
m
/
s
)
.
When
s
=
30
,
P
=
1500
.
Work out the speed (to 1 DP) when the power is
1715
watts
Answers
Answer:
scooby-dooby-doooby-dooooby-doooooby-D000000000000000000000000000000Step-by-step explanation:
a restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive . The cost of making burritos is negative. Profit is the money left after paying the cost.
How much profit would the restaurant make by selling 100 burritos?
1. How much money would the restaurant take in by selling 100 burritos?
Answers
Answer:
$550
Step-by-step explanation:
Answer:
The restaurant would take in $550 by selling 100 burritos
Step-by-step explanation:
First, we need to add all the expenses together and multiply by 100
1.50 + 1.00 = 2.50
2.50 x 100= 250
We know that the restaurant would charge $800 in total for the 100 burritos so now we subtract what it costs to make them.
800 - 250 = 550
Our final answer would be $550
Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstamo pagará un interés del 3% anual durante 3 años ¿ Qué proceso se debe realizar para saber cuántos guaraníes de interés pagará por el préstamo?
Answers
Answer:
La señora María debe pagar 463.635 guaraníes por concepto de intereses,
Step-by-step explanation:
Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.
El modelo de interés compuesto es representado por la siguiente fórmula:
[tex]C(t) =C_{o}\cdot (1+r)^{t}[/tex] (1)
Donde:
[tex]C_{o}[/tex] - Cantidad de dinero a prestar, medida en guaraníes.
[tex]r[/tex] - Razón de interés interanual, adimensional.
[tex]t[/tex] - Anualidad, medida en años.
[tex]C(t)[/tex] - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.
Si sabemos que [tex]C_{o} = 5.000.000[/tex], [tex]r = 0.03[/tex] y [tex]t = 3[/tex], entonces la cantidad de dinero asociada al término del período de préstamo es:
[tex]C(3) = 5.000.000\cdot (1+0.03)^{3}[/tex]
[tex]C(3) = 5.463.635[/tex]
Finalmente, la cantidad de dinero a pagar por concepto de intereses es:
[tex]\Delta C = 5.463.635-5.000.000[/tex]
[tex]\Delta C = 463.635[/tex]
La señora María debe pagar 463.635 guaraníes por concepto de intereses,
what 10x10x10x10x10x10x10000=
Answers
Answer:
10^6*10000=10,000,000,000
Step-by-step explanation:
Write the equation of the line that passes through the points (9, -2) and (4, 2). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
The equation of the line that passes through (9,-2)&(4,2) is
y=-4/5x+26/5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=2-(-2)/4-9
m=4/-5
m=-4/5
y-y=m(x-x¹)
y-2=-4/5(x-4)
y-2=-4/5x+16/5
+2 +2
y=-4/5x+26/5
Solve for the value of x.
Answers
Answer:
X=63
Step-by-step explanation:
180-134=46
since the sides are same, the angles are 67.
x+4=67
x=63
4.8 + 2.2w - 1.4w - 2.4 = help pls?
Answers
Answer:
.8w + 7.2 is the answer
Step-by-step explanation:
Answer:
2.4+0.8w
Step-by-step explanation:
(4.8-2.4)+(2.2w-1.4w)
What is your favorite food? P.S. I want to give points.
Answers
Answer:
Mine is Mexican tacos and tortas asada
Answer:
I like pizzas. pizzas for life bro.
i need the helpp someone respond asap
Answers
Answer:
Uh- 1? I'm not sure, but I think?
Answer:
It’s 125
Step-by-step explanation: