The measure of the angle ∠MAR will be equal to 26°. The correct option is A.
What is an angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is something that divides a shape or object into two equal parts. An angle bisector is a ray that divides an angle into two equal parts of the same measurement.
Given that Ray AT bisects ∠MAR. If m∠MAT = (8x − 3)° and m∠RAT = (2x + 9)°,
The two angles ∠MAT and ∠RAT will be equal. Then calculate the value of x.
8x - 3 = 2x + 9
8x - 2x = 9 + 3
6x = 12
x = 2
The angle ∠MAR is calculated as,
∠MAR = 2 x ∠RAT
∠MAR = 2 x ( 2x + 9)
∠MAR = 2 x ( 2 x 2 + 9 )
∠MAR = 2 x ( 13 )
∠MAR = 26°
Option A is correct for the angle ∠MAR.
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Answer:
A all the way
Step-by-step explanation:
Item #1
Item #2
3
Oreos
$3.29
for 15 oz.
Chips Ahoy
$2.88
for 12 oz.
Unit Price
Which is the better deal? (Circle One)
Item #1 Item #2
Answer:
chips ahoy
Step-by-step explanation:
the better deal is the chips ahoy because you would almost get the same amount of cookies for less money.
Twenty-five percent of the boys at Bussey Middle School are on the A-Honor Roll. What fraction of the boys are on the A-Honor Roll?
Answer:
Step-by-step explanation:
First, you need to divide 25 into 100 to find what fraction is 25%.
Therefore 25/100 = 1/4
As a fraction 25% = 1/4
1/4 is on the honor roll.
A certain number has exactly 8 factors, including 1 and itself. If two of these factors are 21 and 35, what is the number?
Find the period of the function y = 3/2 tan(1/3^x).
А) pi
B) pi/3
C) 3pi
D pi/6
==========================================================
Explanation:
I'm assuming you meant to say
y = (3/2)*tan( (1/3)x )
If so, then that equation is in the form
y = A*tan(Bx)
The B coefficient is B = 1/3 and it directly ties together to the period T.
T = pi/B
T = pi/(1/3)
T = pi*(3/1)
T = 3pi .... answer is choice C
Side note: This formula only works for tangent and cotangent functions.
Recall the Pythagorean theorem, , where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse. Apply the Pythagorean theorem to right triangle . Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. By counting square units, the length of side is 8 units, and the length of side is units. By the Pythagorean theorem, the length of the hypotenuse, side , is units.
Supposing that the other square has a length of 6 units, applying the Pythagorean Theorem, it is found that:
The length of the hypotenuse side is of 10 units.
What is the Pythagorean Theorem?The Pythagorean Theorem is a geometry axiom that relates the length of the legs \(l_1\) and \(l_2\) of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:
\(h^2 = l_1^2 + l_2^2\)
In the context of this problem, we have that the legs have lengths defined as follows:
One leg is of 6 units.The other leg is of 8 units.Hence the length of the hypotenuse can be found as follows:
h² = 6² + 8²
h² = 36 + 64
h² = 100
h = sqrt(100)
h = 10 units.
What is the missing information?
This problem is incomplete and could not be found on any search engine, hence we are going to suppose that the other leg of the triangle has a length of 6 units.
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The expressions given in the table can all be simplified. When simplified, three of the expressions in Column A are equivalent to three of the expressions in Column B.
Column A
Column B
I.
2x + 13-7x
V.
13 + 7x + 2x
II. 7x-17 + 4x
VI.
17-4x - 7
III. 7x +13 + 2x
VII. 13-7x + 2x
VIII. 4x + 7x - 17
IV. 4x - 7+17
Which pair of expressions is not equivalent?
land VII
ll and VIII
Ill and V
IV and VI
Step-by-step explanation:
after simplifying they look like
I) -5x + 13
II) 11x - 17
III) 9x + 13
IV) 4x + 10
V) 9x + 13
VI) -4x + 10
VII) -5x + 13
VIII) 11x - 17
so, clearly, IV and VI are not the same (equivalent).
Which is an irrational number?
0/3
4.37124
5.2
/42.25
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?
Step-by-step explanation:
The formula to find the interior angle of a polygon is 180(n - 2) over n.
So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.
Now we use algebric method to solve for n.
180n − 360 = 120n
60n = 360
n = 6
So, the answer is = 6 sidesa. y=-2x +10, y=-**
y,
5. y=-3x+10, y=-2x
c. y=
y=-*x+10,
-x+10, y=-2x
y=-2x+10, y=-*
c.
х
Answer:
C
Step-by-step explanation:
find the plot and interpret the point in the equation
Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A. 7
B. 10
C. 12
D. 17
Answer:
Step-by-step explanation:
A
f(1)=0
f(n)=f(n−1)+2
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Las ecuaciones de la demanda y la oferta de cierto producto están dadas por espacio 4 q al cuadrado más p al cuadrado igual 1405 y p igual q más 10 donde p está en dólares por unidad y q está en unidades. Para un precio de 27 dólares por unidad, determine el gasto real del consumidor.
The actual consumer spending at a price of $27 per unit is $268.26.
How to calculate the priceSubstitute the given price into the supply equation to get the corresponding quantity supplied:
p = q + 10
27 = q + 10
q = 17
Substitute q = 17 into the demand equation to get the corresponding price:
4q² + p² = 1405
4(17)² + p² = 1405
p² = 1405 - 1156
p² = 249
p = 15.78
The actual consumer spending can be calculated by multiplying the quantity demanded by the price:
Actual consumer spending = quantity demanded x price per unit
= 17 x 15.78
= $268.26
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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
michael can bike 2 miles in 12 minutes how long will it take him to bike 7 miles
42 minutes for 7 miles
Use the Distributive Property to solve the equation.
2
(6a + 9) = 16.8
3
2
6a +
2
.9
3
16.8
3
a
(Simplify your answers.)
Answer:
Step-by-step explanation:
Improving the quality of high-value decision making by an executive will save an organization far more money than improving the quality of lesser-value decisions made at a lower level.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
Since it is lesser, it will also bring in lesser profit :)
If the side length of of rectangle is 3x-3 and the top length is 6, how do I write a linear equation the represents the area and a linear equation that represents the perimeter, all measurements are in cm if that is useful.
Perimeter of the rectangle is: 6x + 6 cm
Area of the rectangle is: 18x - 18 cm²
What is the Area and Perimeter of a Rectangle?Area = (length)(width)
Perimeter = 2(length + width).
Given the following:
Length of rectangle = 3x - 3
Width = 6
Area = (3x - 3)(6)
Area = 18x - 18 cm²
Perimeter = 2(3x - 3 + 6) = 2(3x + 3)
Perimeter = 6x + 6 cm
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Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?
Using the given transformations, namely translation and dilation, the correct statement is given as follows:
Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.
TranslationThe translation rule in this problem is given as follows:
(x, y) -> (x + 1, y - 1).
Meaning that the triangle was shifted:
One unit right, due to x -> x + 1.One unit down, due to y -> y - 1.The only change with the dilation was in the position of the triangle, hence the translated triangle is congruent to the original triangle.
DilationThe triangle was dilated by a scale factor of 4, meaning that the coordinates of each vertex of the triangle is multiplied by 4, changing the side lengths of the triangle, thus the dilated triangle is not congruent to the original triangle.
The angles keep the same measure for both cases, translation and dilation, hence the first two statements are incorrect.
The change in the side lengths is proportional, due to the scale factor of 4, hence the correct statement is:
Segments YZ and Y''Z'' are proportional after the dilation and congruent after the translation.
What is the missing information?The correct options are missing and are given by the image at the end of the answer.
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Find the area and circumference of a circle of radius 30cm ( use π= 3.14 )
Answer:
Area = 2826 cm^2
Circumference = 188.4 cm
Step-by-step explanation:
Area of a circle = πr^2 3.14 X (30^2) = 2826
Circumference = 2πr or πd 2 X 3.14 X 30 = 188.4
\( \mathbb\red{ANSWER} \)
Area Formula :
\( \green{\pi {r}^{2} }\)
\( \pink{ \pi \times {30cm}^{2} }\)
\( \orange{ 3.14 \times 900 {cm}^{2} }\)
\( \red{2826 {cm}^{2} }\)
Circumference Formula:
\( \green{\pi \times d}\)
\( \pink{3.14 \times 60cm}\)
\( \orange{188.4cm}\)
\( \mathbb\blue{HOPE \:IT\: HELPS} \)
- How many "tenths" make one
Answer:
10 tenths make a one
Step-by-step explanation:
because it works like dimes making a dollar you need 10 of them to make a dollar, and they are in the tenths position.
Answer:
ten tenths
Step-by-step explanation:
10/10 = 1
Hope this helps
Rewrite 2/5 : 1/15 as a unit rate
6.1
Answer:
Step-by-step explanation:
\(\frac{2}{5} : \frac{1}{15}\\\)
LCM of the denominator = LCM ( 5 , 15 ) = 15
∴ Now we have to multiply LCM by both the fractions , we get ,
\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)
Is this a function.??
Answer: Yes
Step-by-step explanation:
They are One-to-One; each number on the left goes to one on the right.
Solve x−1=8 Math Problem
Answer:
x = 9
Step-by-step explanation:
9 - 1 = 8
Answer:
x = 9
Step-by-step explanation:
Add 1 to each side:
x - 1 = 8
x = 9
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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Write two numbers that multiply to the value on top and add to the value on bottom.
6
-7
Answer:
-1 and -6
Step-by-step explanation:
If you multiply negative times negative or minus times minus it will turn to plus so
- x - = +
-1 x -6 = +6
If you add negative plus negative or minus plus minus it remain negative or minus
- + - = -
-1 + -6 = -7
The two numbers that multiply to 6 and add to -7 are -1 and -6.
We are given two conditions:
xy = 6
x + y = -7
We can rearrange equation 2 to express one variable in terms of the other.
x = -7 - y
Now we can substitute this expression for x in equation 1:
(-7 - y) y = 6
Expanding the equation:
-7y - y²= 6
Rearranging the equation to bring it to a quadratic form:
y² + 7y + 6 = 0
We can now solve this quadratic equation to find the values of y.
Factoring the quadratic equation:
(y + 6)(y + 1) = 0
Setting each factor equal to zero and solving for y:
y + 6 = 0 --> y = -6
y + 1 = 0 --> y = -1
So we have two possible values for y: -6 and -1.
Substituting these values back into equation 2 to find the corresponding values of x:
For y = -6:
x + (-6) = -7
x = -1
For y = -1:
x + (-1) = -7
x = -6
Therefore, the two numbers that multiply to 6 and add to -7 are -1 and -6.
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Write 0.1 x 0.1 x 0.1 x 0.1 using exponents
Maria earned $60 from babysitting. She donated $6. How much money does Maria donate for every dollar that she earns?
5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd
If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.