Answer:
C. 113°Step-by-step explanation:
(7x - 1) + 79° = 21x + 8
• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex](7x - 1) +79 = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x + 78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\ \frac{70}{14} = x \\ 5 = x \\[/tex]
NRS = 21x + 8
[tex]21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\ {113}^{o} [/tex]
The diagonals of a rhombus measure 16 cm and 30 cm .find its perimeter ( in easy way)?
Answer:
68 cmStep-by-step explanation:
Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.
As we know that the diagonals in the rhombus bisect each other at 90°.
So, AO can be written as (AC/2)
= 16/2
= 8 cm
And, DO can be written as (BD/2)
= 30/2
= 15 cm
Then, consider the triangle AOD and apply Pythagoras theorem,
AD2 = AO2 + DO2
AD2 = 82 + 152
AD2 = 64 + 225
AD2 = 289
AD = √289
AD = 17 cm
Hence, the length of each side of the rhombus is 17 cm
Now,
The perimeter of rhombus = 4 × side of the rhombus
= 4 × 17
= 68 cm
Therefore, the perimeter of the rhombus is 68 cm.
complete the table to summarize what you know about each rocket.
Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.
The time of 10.52 seconds was measured to the nearest hundredth of a second.
(a) Write down the upper bound for the distance of 100 metres.
The upper bound means the highest number that you can round up to the nearest unit, in this case meters. So the upper bound for the distance of 100 meters is 100.4 meters.
Answer:
bye
Step-by-step explanation:
Find the range of data set 10, 18, 21, 28, 12, 20
Answer:
range 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
1. The range of a data set is the difference between the largest and smallest number. In this case, the largest number is 28, and the smallest number is 10.
[tex]28 - 10[/tex] [tex]18[/tex]Therefore, the range is 18.
If x varies inversely as y, which statement is true?
Answer: The Inverse variation
Step-by-step explanation:
The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.
How many solutions does the system have?\begin{cases} y = 9x-5 \\\\ y = 9x+6 \end{cases}⎩⎪⎪⎨⎪⎪⎧y=9x−5y=9x+6Choose 1 answer:Choose 1 answer:(Choice A)AExactly one solution(Choice B)BNo solutions(Choice C)CInfinitely many solutions
The solution to the given equations has infinitely many solutions
Given the following set of equations:
y = 9x - 5
y = 9x + 6
Equating both expressions
9x - 5 = 9x + 6
Collect the like terms
9x - 9x = 6 + 5
0x = 11
x = 11/0
x = ∞
This shows the solution has infinitely many solutions
Learn more here: https://brainly.com/question/11733569
Answer: b
Step-by-step explanation: bc khan
HELLP MEEEEEE
PLEASE
Answer:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Step-by-step explanation:
Quadratic equation:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The equation is:
[tex]4x^2 - 10x + 5 = 0\\[/tex]
So:
a = 4
b = -10
c = 5
Plug the variables into the quadratic equation:
[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]
[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]
[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]
Divide both sides by 8:
10 ÷ 8 = [tex]\frac{5}{4}[/tex]
[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]
[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]
This means that the solutions that satisfy the equation is:
x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]
x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]
Hope this helps!
please help i reward brainliest ;)
Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for 3 more than t hours.
Answer:
If she runs for three hours, then she'll run 36 miles
Going at the speed she is going, Leila can travel a distance of 12(3 + t).
The distance that a person can travel is found by:
= Speed x time
The speed here is 12 miles per hour
Time = 3 more than t hours = (3 + t hours)
The distance Leila would have gone is therefore:
= 12 x (3 + t)
= 12 (3 + t)
In conclusion, as the question is not complete, the relevant expression to find the distance is 12 ( 3 + t)
Find out more at https://brainly.com/question/11317310.
Arrange in ascending order:
7,85,460 ; 7,58,406 ; 7,85,046 ; 7,85,640.
Answer:
7,58,406 , 7,85,046 , 7,85,460 , 7,85,640
Step-by-step explanation:
angles a and b in both angles sets are ?
Answer:
1) b = 60°
2) a = 90°, b = 90°
Step-by-step explanation:
1) Angles on a straight line add to 180° so 180 - 120 is 60°
2) The two lines are perpendicular (meet at right angles) so both angles are 90°
Hope this helps!
factorise the following, with steps
Answer:
Step-by-step explanation:
1) Sum = - 9
Product = -36
Factors = -12 , 3 {-12 + 3 = -9 & -12*3 = -36}
3a² - 9a - 12 = 3a² + 3a - 12a - 12
=3a(a + 1) - 12(a + 1)
= (a + 1) (3a - 12)
2) 4a² + 38a - 20 = 4a² + 40a - 2a - 20
=4a(a + 10) - 2(a + 10)
=(a + 10)(4a - 2)
3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9
= 11a(a + 3) - 3(a + 3)
=(a + 3)(11a - 3)
70 POINTS PLEASE HELP GIVING BRAINLIEST
Sally bought the pizza that was shown above for lunch, which was cut into 10 equal slices, what percentage of the pizza did sally eat if she had four slices?
Answers:
20%
30%
40%
50%
Answer:
the answer would be 40%.
(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)
Answer:
The answer is 1…
Step-by-step explanation:
Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.
the final result will be
(240+15+40)+ (300+90-72)- (360+105+24)
Now solve
240-15+40=265
300+90-72=318
360+105+24=513
265+268-489
265+268= 11
533-513=20
bleh i m not sure naymore
I’m giving the right
Answer brainlyest and 5 star rating
Answer:
the first one i think sorry it im wrong
Step-by-step explanation:
The tape diagram represents an equation.
Answer:
y² = 7
Step-by-step explanation:
what is the sum of the first 30 even numbers i added them all up and got 300 but lots of people are getting diffrent answers some how?
Which statement is true? 13/14=169/182 13/14<169/182 13/14>169/182
pls help me
Answer: 13/14 = 169/182
Step-by-step explanation:
If you do 13 x 182 = 2,366
And then do 14 x 169 = 2,366
Making both sides equal if you multiple the numerator by denominator using cross multiplication
The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.
What is Algebra?Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.
The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.
The fraction number is given below.
⇒ 13/14 and 169/182
Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,
⇒ (13 x 13)/(14 x 13)
⇒ 196 / 182
The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).
Answer: y=1/4x+4
Step-by-step explanation:
Parallel means the new equation will have the same slope.
y= 1/4x+b
We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.
1= 1/4(-12)+b
1= -3+b
b= 4
y=1/4x+4
HELP ME I WILL GIVE YOU BRAINLIEST AND A 5.0 REVIEW
Power: An _________________ that has a base and an exponent.
Answer:
Base
Step-by-step explanation:
A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.
70 minutes for 24 songs
=
[blank] minutes for 12 songs
Answer:
35
Step-by-step explanation:
70 minutes for 24 songs
70/2 minutes for 24/2 songs
35 minutes for 12 songs.
Answer:
35 minutes for 12 songs
Step-by-step explanation:
hope this helps
6/8 of a gallon of orange juice is left. Six thirsty people want an equal amount of orange juice. How much does each person get?
Answer:
they each get 1/8 of a gallon of orange juice
Step-by-step explanation:
Help please!!!!!!!!!!!! I need help
Answer:
The slope of Function A is less than the slope of Function B.
Step-by-step explanation:
Using the slope formula:
m = (y2 - y1)/(x2 - x1)
and the following ordered pairs from Function A:
(x1, y1) = (-5, -3)
(x2, y2) = (-10, -8)
m = (y2 - y1)/(x2 - x1)
[tex]m = \frac{-8 - (-3)}{-10 - (-5)} = \frac{-8 +3}{-10+5} = \frac{-5}{-5} = 1[/tex]
Since Function A's slope = 1, and Function B's slope = 4, then it means that the slope of Function A is lesser than the slope of Function B.
Find the value of X. Show your work.
Answer:
x = 3
Step-by-step explanation:
The traingels are similar so we can conpare sides.
3 is to 18 as 2 is to 4x or
3/18 = 2/4x
1/6 = 1/2x
6 = 2x
3 = x
Hello, please help me with this as well, but show me example how you worked it out?
33 + - 5
Answer: 28
Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28
Answer:
28
Step-by-step explanation:
Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.
Please do help.Thanks :)
You put 56 green marbles and 24 yellow marbles into bags. Each bag has the same number of green marbles and the same number of yellow marbles. What is the greatest possible number of bags you can make using all the marbles? How many green marbles are in each bag? How many yellow marbles?
Answer:
8 bags
7 green marbles and 3 yellow marbles
Step-by-step explanation:
Find the GCF of 24 and 56
24 = 4 x 6
= 2 x 2 x 2 x 3
56 = 7 x 8
= 7 x 4 x 2
= 7 x 2 x 2 x 2
The common factors are - 2 x 2 x 2, which is 8.
So the greatest number of bags they can make is 8
Divide the amount of marbles by the number of bags
24 yellow marbles and 8 bags, so 24/8 is 3
56 green marbles and 8 bags, so 56/8 is 7
Hope this helps, let me know if you have any questions
The pictures is where my question is someone please answer it.
Answer:
functions: first one, third one, fifth one, seventh one, eigth one
the rest are not function
Step-by-step explanation:
if it is a function it either passes the line test or it doesnt have two outputs
State any two types of natural vegetation?
Answer:
forest, tundra, and grasslands
4/100 fraction as percent
Answer:
4%
Step-by-step explanation:
have a lovely day <3
Answer:
4% is 4/100 as a percent
just take the fraction and turn it into a fraction out of 100 which this already is and then the percent is the numerator
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
[tex]x = 2\sqrt{55}[/tex]
Step-by-step explanation:
Given the values for the leg and hypotenuse:
a (leg) = 6 cm
c (hypotenuse) = 16 cm
Use the Pythagorean Theorem to find the value of the other leg, x:
[tex]x = \sqrt{c^{2} - a^{2} }[/tex]
[tex]x = \sqrt{16^{2} - 6^{2} }[/tex]
[tex]x = 2\sqrt{55}[/tex]
Answer:
Your answer is [tex]\sqrt{220}[/tex] or 14.8323969...
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}[/tex]
[tex]x^{2} =16^{2} -6^{2} \\[/tex]
[tex]x^{2}[/tex] = 256 - 36
x = [tex]\sqrt{220}[/tex]