Answers
Answer:
50°
Step-by-step explanation:
the sum of the angles of a quadrilateral is 360°
so
2x + 110 + x + 10 + 90 = 360
2x + x = 360 - 110 - 10 - 90
3x = 150
x = 150 : 3
x = 50°
-------------------------
check
50 + 10 + 2 * 50 + 110 + 90 =
360°.
the answer is good
Answer:
x = 50
2x = 110°
(x + 10)° = 60°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°
⇒ 2x° + (x + 10)° + 110° + 90° = 360°
⇒ 2x° + x° = 360° - 110° - 90° - 10°
⇒ 3x° = 150°
⇒ x = 50
Substitute found value of x into the expressions and solve:
⇒ 2x° = 2(50)° = 110°
⇒ (x + 10)° = (50 + 10)° = 60°
Related Questions
if 8 pieces are 220 calories how many calories is 1 piece
Answers
Step-by-step explanation:
8 pieces = 220 colories
1 piece = 220/8 = 27.5 calories
Answer:
27.5
Step-by-step explanation:
8 divided by 220 = 27.5
Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that
And Hope This Helps
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answers
Answer: side
Step-by-step explanation:
un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur
Answers
Answer:
Step-by-step explanation:
bonjour :
soit x le nombre des feuilles dans le classeur
les deux tiers des feuilles sont blanches veut dire : (2/ 3)x
un sixieme des feuilles sont bleues veut dire : (1/6)x
on compose cette équation : (2/ 3)x + (1/6)x +12 = x
rsolvont cette équation : multiplions les deux membres par : 6
4x+x+72 =6x
4x-6x+x+72=6x-6x
-x+72=0
x=72
verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72
Evaluate the expression 5p for p=2
Answers
Answer:
10
Step-by-step explanation:
when p=5
substituting p=5 into 5p.
5p = 5×2 =10
Find the area of the square.
pls help!!
Answers
Answer:
Area of square: 9/16 m²
Step-by-step explanation:
We are given:
Side length of square: 3/4 metersThe area of the square is the side multiplied by the same side. Therefore,
⇒ Area of square: (3/4) × (3/4)⇒ Area of square: (3/4)²Using the exponents property, [(a/b)² = (a²/b²)]:
⇒ Area of square: (3²/4²)⇒ Area of square: (9/16) m²Therefore, the area of the square is 9/16 m².
Answer:
[tex]\huge\boxed{\bf{Area_{square} = \frac{9}{16}m^2}}[/tex]
Step-by-step explanation:
Given : -
Slide length of square = [tex]\frac{3}{4}[/tex]m.To Find : -
Area of squareAns : -
$\sf \to Area_{square} = (side\:length)^2$
$\sf \to Area_{square} = (\frac{3}{4}m)^2$
$\sf \to Area_{square} = (\frac{3}{4}m*\frac{3}{4})$
$\sf \to Area_{square} = (\frac{3*3}{4*4}m^2)$
$\sf \to Area_{square} = \frac{9}{16}m^2$
[tex]\:[/tex]
$\huge\colorbox{skyblue}{BlackPain}$
Pasang fixed the marked price of a watch Rs. 4000 and he sold it allowing a discount of 10%. Then he made a profit of Rs 400. Find the cost orice of the watch.
Answers
Answer:
Cost Price = Marked Price -Discount - Profit
CP = 4000-400-400
Cost price = 3200
Rs. 3200
The answer iis in the above picture hope you like it. Pls mark brainliest
How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)
Answers
Answer:
1265 i think
Step-by-step explanation:
add 11 15 times
Answer:165
Step-by-step explanation:
find the equation of line that passes through the point (4,-5) and the slope 5/4
Answers
Answer:
[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]
Step-by-step explanation:
To find the equation of line, you have to use a slope and slope-intercept formula.
Slope formula:
[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
Slope-intercept formula:
[tex]\Longrightarrow:\sf{y=mx+b}[/tex]
M represents the slope.B represents the y-intercept.So, the slope is 5/4.The y-intercept is -10.Rewrite the problem down.
y=5/4x-10
So, the correct answer is y=5/4x-10.I hope this helps you! Let me know if my answer is wrong or not.
(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)
Answers
(i + j) • (i - j) = ||i + j|| ||i -j|| cos(θ)
We also recall that for any vector x,
||x||² = x • x
We have
(i + j) • (i - j) = (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= ||i||² + (i • j) - (i • j) - ||j||²
= 1 + 0 - 1
= 0
and
||i + j|| = √(1² + 1²) = √2
||i - j|| = √(1² + (-1)²) = √2
So,
0 = 2 cos(θ)
cos(θ) = 0
θ = arccos(0) = 180°
(b) By the same process, we find
(2i + 5j) • 4i = 8
||2i + 5j|| = √(2² + 5²) = √29
||4i|| = 4
Then if θ is the angle between 2i + 5j and 4i, we have
8 = 4√29 cos(θ)
cos(θ) = 2/√29
θ = arccos(2/√29) ≈ 68.1986°
(c) Compute the magnitudes:
||A|| = √(14² + 2²) = √200 = 10√2
||B|| = √(2² + (-6)²) = √40 = 2√10
Now we can write
||B|| = 2√10 = 2 √(5 × 2) = 2√5 × √2 = 1/√5 × 10 √2 = 1/√5 ||A||
or
||A|| = √5 ||B||
so that k = 5.
PLEASE HELP ASAP
Reginald Wallace's gross weekly salary is $515. His weekly federal withholding is $55. The Social Security tax is 6.2% of the first $97,500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week he pays $12.40 for medical insurance. How much is deducted from Reginald's weekly wages for state tax and Medicare tax?
Answers
Answer:
$15.20
Step-by-step explanation:
Had the same question last year and found the answer in some flashcards. You can browse the question too.
(12 points) Let X = (1,2,3,4,5).
(a) Find the number of sequences of length 7 over X.
(b) A palindrome of length kis a sequence aja2 ... 0 such that alk-1...0,01 = 0102 ...k-101ka Find the number of palindromes of length 7 over X.
(c) How many three digit odd positive integers with distinct digits can you write using only the numbers in X?
Answers
The answer is C
If I am wrong, please come after me, I am not perfect
How did the structure of the Han dynasty reflect Confucianism? Increasing rebellions represented the emphasis on warfare. Crowning a new emperor reflected the importance of loyalty. The multiple levels of bureaucracy reflected the belief in social order. The need for new leaders highlighted the importance of self-promotion.
Answers
Answer:
the multiple levels of bureaucracy reflected the belief in social order
Step-by-step explanation:
Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =
Answers
Answer:
Here is the answer
Step-by-step explanation:
Need help ASAP due today! I will give brainlisted for correct answer!
Answers
Answer: 15.
Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying. Before we use rise/run, we need two points on the line. We'll use (2, 80), and (6, 140). We need to go 60 up and 4 to the right to make the points meet. Going up or down is the rise and left or right is the run. Our rise/run is 60/4 or 15 when you divide. Therefore, 15 is your slope for this equation of a line.
Have a great day! :)
Factorise fully 21a-7a²
Answers
-7(a-3)a
hope it helps...!!!!
What is the surface area of this prism?
Answers
Answer:
Step-by-step explanation:
front side: 6x3 = 18
back : 6x3 = 18
right:6x2 = 12
left:6x2 = 12
top: 3x2 =6
bottom: 3x2 =6
18 + 18 + 12 + 12 + 6 + 6
= 72
This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answers
Answer:
Revenue was 55,614 the year before
Step-by-step explanation:
Decay Formula: y = a*(1-r)^x
So:
y = 89700 * (1-0.38)^1
y = 55614
well, their total revenue last year was "x", which oddly enough is 100%. Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]
Rewrite the expression ^3 square root of x^8 using rational exponents.
Answers
Answer:
X^8/3
Step-by-step explanation:
When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.
Differentiate y = tan²x from first principle
Answers
Answer:
[tex]y'=2sec^2(x)tan(x)[/tex]
Step-by-step explanation:
[tex]\sqrt{50} +\sqrt{18}[/tex]
Answers
Answer:
8 × square root of 2
Step-by-step explanation:
50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.
18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.
then we just find the sum
Find the area of the figure.
Answers
answer:
804.980cm²
explanation:
attached
--
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Help picture below problem 9
Answers
Answer:
i think the answer might be E.
the answer is A option that is Angle M
evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?
Answers
Answer:
3320
Step-by-step explanation:
So, 9 months is 9/12 of a year which is 3/4.
Each month they get 5/12% of their total money, so 9x5/12=3.75%.
3320
Write the equation of the line through the points (-6, -19) and (2, 5).
Answers
Answer:
y = 3x - 1
Step-by-step explanation:
The slope of a line passing through the two points
P = (x1. y1) and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= -6, y1= -19, x2= 2, y2= 5
m=3
Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).
b= -19-(3)(-6)
b= -1
y = 3x - 1
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Is an antacid polar or non-polar?
Answers
Answer:
Antacid tablets react with water but not oil so its polar
A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge
Answers
Answer:
this one has to be answer 1
Step-by-step explanation:
4x - y = -5
x + 2y =1
8x - 2y = -10
x + 2y = 1
9x = -9
A cylinder has a diameter of 6 cm and a height of 3 cm. What is the surface area of the cylinder? Enter your answer, in exact form, in the box.
Answers
If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylinder has a diameter of 6 cm and a height of 3 cm.
Then the surface area of the cylinder will be
[tex]\rm SA = \pi d h[/tex]
We have
d = 6 cm
h = 3 cm
Then the surface area will be
[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]
More about the cylinder link is given below.
https://brainly.com/question/3692256
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Find the measure of ∠b.
A. 110∘
B. 102∘
C. 111∘
D. 121∘
Answers
Answer:
110 :)
Step-by-step explanation:
Triangle total angle measurement: 180
Now lets solve!
28 + 42 + ? = 180
70 + ? = 180
Now we have to subtract!!
180 - 70 = 110
Have an amazing day!!
Please rate and mark brainliest!!
28 + 42 + ∠b = 180
70 + ∠b = 180
∠b = 180 - 70
∠b = 110
In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.
Answers
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
So you can use the factor tree to find the GCF and LCM
The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number
What is prime factorization?Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.
here, we have,
we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.
now, we know that,
gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
and,
lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
so, we have,
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
So you can use the factor tree to find the GCF and LCM.
Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.
learn more on prime factorization click:
https://brainly.com/question/4680412
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Please Expand the following y( y + 2)
Answers
Answer:
[tex]y^{2} + 2y[/tex]
Step-by-step explanation:
y times y is [tex]y^{2}[/tex]
2 times y is 2y