Answers
Answer:
3x=45°
6x=90°
Step-by-step explanation:
As the sum of angle measures is 180° , to find the x
First, you create an equation that looks like,
\(180 = 45+3x+6x\)
which can be written as
\(180=45+9x\)
since both 3x and 6x have the same variable. Then you subtract 45 from both sides of the equation
\(180-45=9x\)
(+45 on the right side can be cancelled by -45, so there is none left)
\(135=9x\)
Now, you can divide both sides by 9
\(\frac{135}{9} = x\)
So you must have an answer of x = 15°
Similar to ratios, 3:6 each part is 15°, now you have to multiply 3 to 15 and 6 to 15 to see how they separate the angles of 135°.
3×15= 45
6×15=90
To check them add 45, 90 and 45 to see if it adds up to 180. The answer is at the top and if my explanation is wrong please tell me, Thanks
Related Questions
Need some serious help with this please
Answers
a) The value of x is given as follows: x = 13.
b) The value of the expression is 6(x + 7) is given as follows: 120.
c) The value of the expression is 24(x - 8) is given as follows: 120.
How to obtain the value of x?Alternate exterior angles happen when there are two parallel lines cut by a transversal lines.
The two alternate exterior angles are positioned on the outside of the two parallel lines, and on opposite sides of the transversal line.
The alternate exterior angles are congruent, meaning that they have the same measure.
The angles on this problem are given as follows:
6(x + 7).24(x - 8).Hence the value of x in item a is given as follows:
24(x - 8) = 6(x + 7)
24x - 192 = 6x + 42
18x = 234
x = 234/18
x = 13.
Hence the expression in item b is given as follows:
6(13 + 7) = 6 x 20 = 120.
The expression for item c is given as follows:
24(13 - 8) = 24 x 5 = 120.
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A square field was enlarged by adding 5 feet to the length and width of the original field
Answers
Answer:
The side length of the original field is 19 feet
Step-by-step explanation:
Let the side of original square be x
Now we are given that A square field was enlarged by adding 5 feet to the length and width of the original field.
So, length of side of enlarged field = x+5
Area of new enlarged field =
We are given that the area of the enlarged field is 576 square feet
So,
Hence The side length of the original field is 19 feet
URGENT!
need help
...
Answers
Answer:
92°
Step-by-step explanation:
If ΔABC ≈ ΔPQR then ∡A = ∡P
∡P is 92° so ∡A is 92°
Answer:
92 degrees
Step-by-step explanation:
Can someone please help me on this question!!!
Answers
Answer:
3(b/150)
I think I got it right, where's my second supporter?
Kaitlyn's older brother borrowed money for school he took out a loan that charges 6% simple interest he will end up paying 720 and interest after 6 years how much is Kaitlyn's brother borrow for school?
please please help asap
Answers
Answer: 2000
Step-by-step explanation:
The following can be gotten from the question:
Principal = Unknown
Rate = 6%
Time = 6 years.
Interest = 720
Note that: Interest = PRT / 100
720 = (P × 6 × 6) / 100
720 = 36P / 100
720 × 100 = 36P
72000 = 36P
Principal = 72000 / 36
Principal = 2000
The amount that he borrowed is 2000.
Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (-7,-3) C. (-6,-10) D. (6,23)
Answers
Answer:
B. (-7,-3)
Step-by-step explanation:
Given the circle: \((x + 7)^2 + (y - 10)^2 = 13^2\)
The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.
We now consider the given options.
Option A (5,12)
When x=5, y=12
\((5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2\)
Option B (-7,-3)
When x=-7, y=-3
\((-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2\)
Option C (-6,-10)
When x=-6, y=-10
\((-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2\)
Option D (6,23)
When x=6, y=23
\((6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2\)
We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.
The correct option is B.
6.
(x - 4)(x + 4) =
B) x + 16
C) X - 8x + 16
A)X? - 16
E) NOTA
D) x' + 8x + 16
Answers
Answer:
x² - 16
Step-by-step explanation:
Given
(x - 4)(x + 4)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 4) - 4(x + 4) ← distribute both parenthesis
= x² + 4x - 4x - 16 ← collect like terms
= x² - 16
write the equation for a parabola with a focus at (0,-5)(0,−5)left parenthesis, 0, comma, minus, 5, right parenthesis and a directrix at y
Answers
The equation of a parabola that has a focus of (0, -5) and a directrix specified by the line, y = -3, is; 4·y + x² + 16 = 0
What is a parabola?A parabola is plane curve that has an opened umbrella shape, where the distance of the points on the curve are equidistant from a fixed point known as the focus and a fixed line, known as the directrix.
The definition of a parabola which is the set of points that are equidistant from the focus and the directrix can be used to find the equation of the parabola as follows;
The focus is; f(0, -5)
The directrix is; y = -3
The point P(x, y) on the parabola indicates that using the distance formula we get;
(x - 0)² + (y - (-5))² = (y - (-3))²
Therefore; x² + (y + 5)² = (y + 3)²
(y + 5)² - (y + 3)² = -x²
y² + 10·y + 25 - (y² + 6·y + 9) = -x²
4·y + 16 = -x²
The equation of the parabola is therefore; 4·y + x² + 16 = 0
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Which transformations take the graph of f(x) = 5^x to the graph of g(x) = 5^x+7 — 2? *Choose two correct answers.*
a) The graph is translated left 7 units. b) The graph is translated down 2 units c) The graph is translated to the right 7 units.
d) The graph is translated left 2 units.
Answers
The transformations that take the graph of f(x) = 5^x to the graph of g(x) = 5^x+7 — 2 are;
a) The graph is translated left 7 units.
b) The graph is translated down 2 units
What is the transformation of the function?The function originally is given as:
f(x) = 5^(x)
Now, after transformation it becomes:
g(x) = (5^(x + 7)) - 2
We know that:
If the function f(x) is translated by a units to the right, the we have: 5^(x - a)
If the function f(x) is translated by a units to the left, the we have: 5^(x +a)
If the function f(x) is translated by b units up , the we have: 5^(x) + b
If the function f(x) is translated by b units down , the we have: 5^(x) - b
Thus, the transformation occurring is:
The graph is translated left 7 units
The graph is translated down 2 units
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Find the value of x. Round to
the nearest tenth.
seus
27
Woln
15
11
x = [? 1°
Law of Sines
sin A
sin B
b
sin C
с
Enter
Answers
To find the value of x in the given problem, we can apply the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In the given problem, we have the angles A, B, and C, and the side lengths a, b, and c. The Law of Sines can be expressed as:
sin A / a = sin B / b = sin C / c
We are given the values of angle A (27 degrees), angle B (15 degrees), and side b (11). We need to find the value of side a (x).
Using the Law of Sines, we can set up the following equation:
sin A / a = sin B / b
Plugging in the known values:
sin 27° / x = sin 15° / 11
To solve for x, we can cross-multiply and then isolate x:
x = (11 * sin 27°) / sin 15°
Using a calculator to compute the sine values and performing the division, we find:
x ≈ 17.3
Rounding to the nearest tenth, the value of x is approximately 17.3.
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Ahh i knew every single problem except this one ;)
Answers
Answer:
????
Step-by-step explanation:
please help me, I cant faill!!!
Answers
Answer:
x2
Step-by-step explanation:
you multiply 1x2 to get 2 and multiple 3x2 to get 6
pls mark brainly :)) hope you have a good day
A 12 hour circular analogue clock shows 6 o'clock, with the hour hand pointing at 6, and the minute hand pointing at 12. Sometime between 7 and 8 o'clock the hour hand and minute hand are at 180° to each other. At how many minutes past 7 o'clock does this happen?
Answers
After 11 minutes, the angle between the hour's hand and the minute hand is 180°.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
A 12 hours roundabout simple clock shows 6 o'clock, with the hour hand pointing at 6, and the moment hand pointing at 12.
The angle between the hour hand and minute hand is 180°. Then the number of minutes is given as,
In each hour, the hour hand rotates 30°. Then in 8 hours, the hour hand rotation is calculated as,
⇒ 30° x 8
⇒ 240°
After 11 minutes the position of the hour hand is given as,
⇒ 240° + (11 / 60) x 30°
⇒ 240° + 5.5°
⇒ 245.5°
The rotation of the minute hand is given as,
⇒ (360° / 60) x 11
⇒ 66°
Then angle between the hour and the minute hand is calculated as,
Angle = 245.5° - 66°
Angle = 179.5°
Angle ≈ 180°
The number of minutes past 7 o'clock will be 11 minutes.
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Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs? What is the percent?
Answers
325%
6.5/2 is 3.25 or
Can someone pls help me ASAP!!
Answers
Answer:
5
Step-by-step explanation:
Does someone mind helping me with this problem? Thank you!
Answers
The total number of $12 tickets are 120 while the $15 tickets are 180.
What is algebraic expression?In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.
The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.
Given that x stands for $12 tickets and y stands for $15 given as the equation
12x + 15y = 4140
x + y = 300
y = 300 - x
Substitute the value of y in the first equation
12x + 15(300 - x) = 4140
12 x + 4500 - 15x = 4140
12x - 15x = 4140 - 4500
-3x = −360
x = 360/3
x = 120
y = 300 - (120)
y = 180
Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.
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If the scores on an intelligence test form a normal curve with a standard deviation of 15,the mean, median, and mode are 100.68 percent of scores are between 85 and 115.60 percent of test-takers earned at least a 100.the first and second choices only are true.the first three choices are true.
Answers
The mean, median, and mode are all equal to 100, and 68% of the scores are between 85 and 115. The third choice is also true, as 60% of test-takers earned at least a 100.
The normal curve is a symmetrical bell-shaped distribution with the mean, median, and mode all equal to 100. If we take 15 as the standard deviation, then 68% of the scores will lie between 85 (100-15) and 115 (100+15). We can calculate this using the z-score formula: z=(x-μ)/σ, where x is the score, μ is the mean, and σ is the standard deviation.
In this case, the z-score for the lower limit (85) is (85-100)/15=-1. The z-score for the upper limit (115) is (115-100)/15=1. We can then use the z-score table to determine that the area between -1 and 1 is 68%. Therefore, 68% of the scores are between 85 and 115.
To determine the percentage of test-takers who earned at least a 100, we can use the same z-score formula. The z-score for x=100 is (100-100)/15=0. We can then use the z-score table to determine that the area above 0 is 60%. Therefore, 60% of test-takers earned at least a 100.
Therefore, the first two choices are true. The mean, median, and mode are all equal to 100, and 68% of the scores are between 85 and 115. The third choice is also true, as 60% of test-takers earned at least a 100.
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Please Read the Attachment below
Answers
Answer:
Step-by-step explanation:
\(\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}\)
\(=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}\)
Can someone double check this answer
Answers
Answer:
You're correct!
Step-by-step explanation:
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answers
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
9x9 sudoko puzzle
——————————-
Answers
I done it
I attached it
please help its due today
Answers
The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively
How to find the measure of the angles?To determine K
9x + 2 = 23 + 5x -1
9x -5x = -1 +2
4x = -3Making x the subject we have
x= -3/4
To find the value of L
Let angle L be x
x + 65 = 130
x=130-65
That is x = 65
To find the m<C
4x + 7 = 3x + 15
Collecting like terms
4x - 3x = 15-7
Making x the subject of the relation we have
x=8
To find the m<N
7x + 6x - 1 = 90
13x = 89
x=89/13
x= 6.9
Substitute x = 6.9 in 6x -1
6(6.9) -1
m<L = 40.4
To find the m<O
5x - 11 = 4x +9
5x-4x = 9 +11
x=20
By substitution in 4x +9 we have
4(20) +9
80+9
m<S = 89
To find the value of the angle G
6x - 4 = 5x +4
6x - 5x = 4+4
x = 8
Therefore the m<G is
5x +4
5(8) +4
40+4 = 44 digress
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pls helpppp 16 pointsss
Answers
Answer:
ok so i amnot exactly shure but i can help you
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal. this might help you a bit
HELP ASAP PLS!!!! I’ll give u whatever u want
Answers
Answer:
A=1/2h(b1+b2)
27=1/2 4 (8+8)
Step-by-step explanation:
can you continue it
ive just try but im slow
What is the slope of a line parallel to the line whose equation is x+y=-4? Fully simplified.
Answers
The slope of a line that is parallel to x + y = -4 is: -1.
How to Find the Slope of Parallel Lines?If we have two lines that are parallel to each other, their slopes will be the same.
For example, if the slope of one line is 4, the slope of the line that is parallel to the line will also have a slope of 4.
To find the slope of the equation, x + y = -4, rewrite it in slope-intercept form, y = mx + b:
x + y = -4
y = -x - 4 [subtraction property of quality]
The slope is therefore -1. Therefore, the slope of the line that is parallel to the line whose equation is x + y = -4 is: -1.
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please help me answer this question asap
Answers
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
If the coefficient of determination is equal to 0.49, and the linear regression equation which indicates an inverse relationship between X and Y is equal to ŷ = 5 – 3.6x1, then the correlation coefficient must necessarily be equal to: Group of answer choices Either −.70 or .70 .70 −.70 .49 −3.6When the standard error of the estimate Se is equal to zero, this means that:Group of answer choicesthe coefficient of determination is equal to one.the slope of the regression equation is equal to zero.Se of zero does not mean any of the other choices in this problem.the linear regression model explains none of the variation in the sample data.the correlation coefficient is equal to zero.
Answers
The correlation coefficient must necessarily be equal to -0.70. The coefficient of determination (R-squared) is equal to the square of the correlation coefficient (r).
Therefore, taking the square root of 0.49 gives us a correlation coefficient of -0.70 or 0.70. Since the linear regression equation indicates an inverse relationship between X and Y (as the slope is negative), we know that the correlation coefficient must be negative.
When the standard error of the estimate Se is equal to zero, this means that the linear regression model explains all of the variation in the sample data, and the coefficient of determination is equal to one. However, in practice, a standard error of zero is not attainable as it would require a perfect fit between the data points and the regression line. Therefore, this scenario is unlikely to occur in real-world applications.
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Which function represents transforming ƒ(x) = 3x with a reflection over the x-axis and a vertical shift of 4 units?
A) h(x) = 3x + 4
B) h(x) = -3x + 4
C) h(x) = 3x-4
D) h(x) = -3x+4
Answers
Answer:
B. h(x) = -3x + 4.
Step-by-step explanation:
I am assuming that the vertical shift is upwards,
A refection in the x axis gives -3x
Vertical shift upwards of 4 gives -3x + 4.
The square of y varies directly as the cube of x. when x = 4, y = 2. which equation can be used to find other combinations of x and y?
Answers
The equation can be used to find other combinations of x and y is y^2 = (1/16)x^3
How to determine the equation?The direct variation from the square of y to the cube of x is represented as:
y^2 = kx^3
Where k represents the variation constant.
When x = 4, y = 2.
So, we have:
2^2 = k * 4^3
This gives
4 = 64k
Divide both sides by 64
k = 1/16
Substitute k = 1/16 in y^2 = kx^3
y^2 = (1/16)x^3
Hence, the equation can be used to find other combinations of x and y is y^2 = (1/16)x^3
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A local store sells T-shirts for $10. At this
price, the store sells an average of 100
shirts each month. Market research says
that for every $1 increase in the price, the
manager of the store can expect to sell five
fewer shirts each month.
Answers
Answer:
Whats the question?
Step-by-step explanation: