Answer: 104°
Step-by-step explanation:
Since ∠JKL and ∠LKM are supplementary, then their sum is 180°.
∠JKL + ∠LKM = 180
2x + 4 + x + 26 = 180
3x + 30 = 180
3x = 150
x = 50
∠JKL = 2x + 4
= 2(50) + 4
= 100 + 4
= 104
What is the value of x in simplest radical form?
Answer:
x=37
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean theorem
a^2 +b^2 =c^2
12^2 +35^2 = x^2
144+1225= x^2
1369 = x^2
Take the square root
sqrt(1369) = sqrt(x^2)
37 = x
Answer:
x = 37
Step-by-step explanation:
Two leg lengths (35 and 12) are given, and the hypotenuse length is to be found. The Pythagorean Theorem links, these three quantities and enables us to find x quickly and easily:
35² + 12² = x² → 1225 + 144 = 1369 → x² = 1369
Find x by taking the square root of both sides:
√(x²) = ±√1369 → x = ± 37.
Because length is always +, omit x = -37 and keep x = +37.
drag each term to the correct location on the expression. each term can be used more than once, but not all terms will be used.
Consider the expression shown.
Factor the expression completely.
Answer:
Answer:
4(x-3)(x+6)
Step-by-step explanation:
We factor out the 4 first since all numbers are divisible by 4. That leaves us with x^2+3x-18.
Then we factor this to get (x-3)(x+6).
So the factored form of the equation is 4(x-3)(x+6)
Step-by-step explanation:
The factors of the equation 4x²+12x -72 will be 4(x-3)(x+6).
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Factor out the 4 first since all numbers are divisible by 4. That leaves us with x² +3x -18.
4( x² +3x -18 ) = 4 ( x² + 6x - 3x -18 )
= 4 ( x(x+6) -3 (x + 6)
= 4 ( x + 6 ) ( x - 3 )
Hence, the factors are 4 ( x + 6 ) ( x - 3 ).
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A triangle has sides that are 2 inches, 2 inches, and 3 inches. Can you form more than one triangle with the given side lengths? Explain
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ You cannot form more than one triangle with the sides, because any way you put it, it will always be the same.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Answer:
No
Step-by-step explanation:
No
SSS is a way of proving that two triangles are congruent. It also means that the shape and size of the triangle is fixed. There is only 1 way to draw it.
There is 1 other congruency that gives only 1 shape and size. It is SAS.
You have to reason out ASA. The way it is written (with the side between 2 angles, there is only 1 way possible to draw a triangle with shape and size consistent. The side must be between the 2 angles..
Eli chooses two shirts from a group of five to pack for a weekend trip. Let each shirt be represented by A, B, C, D, and E. Which statements about the situation are true? Check all that apply. The combination of AB and BA are the same. Each shirt can be paired with any one of other the remaining shirts. There are twenty possible ways to choose the group of shirts. He has five choices for the first shirt and five choices for the second shirt. If he chooses shirt B, there are four possible outcomes for choosing the second shirt.
Answer:
the answer is a b and e
Step-by-step explanation:
i jus took the assignment
Answer:
A,B,E
Step-by-step explanation:
passed the assignment
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12 liter batch of iced tea with 90 tea bags.
What will Kermit think of Peggy's iced tea?
(Choice A)
A
It is too strong.
(Choice B)
B
It is too weak.
(Choice C)
C
It is just right.
Answer:
Choice C.
Step-by-step explanation:
Kermit likes :
15 tea bags
every 2 liters
Peggy:
90 tea bags
12 liters
You would simplify it by dividing 90 by 15, equaling 6. And 12 divided by 2, also equaling 6. Which would mean they are equal and Peggy's tea is exactly like Kermit's favorite iced tea.
Answer: The correct choice is
Choice (C) It is just right.
Step-by-step explanation: Given that Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water and Peggy made a 12 liter batch of iced tea with 90 tea bags.
We are to select the correct choice that describes the thinking of Kermit about Peggy's Iced tea.
The ratio of quantity of water and number of tea bags in Kermit's favorite iced tea is given by
[tex]R_k=2:15.[/tex]
And the ratio quantity of water and number of tea bags in Peggy's iced tea is given by
[tex]R_p=12:90=\dfrac{12}{90}=\dfrac{2}{15}=2:15.[/tex]
Since the ratio of water and number of tea bags in Peggy's iced tea is same as that in Kermit's favorite iced tea, so
Kermit will think that Peggy's iced tea is just right.
Choice (C) is CORRECT.
write standard form of line that is parallel to 2x + 3y= 4 and passes through the point (1, -4)
Answer:
2x + 3y = -10
Step-by-step explanation:
First convert the line into slope intercept form to find the slope of the line.
2x + 3y = 4
3y = 4 - 2x
y = -2/3x + 4/3
The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.
[tex]y --4 = -\frac{2}{3}(x-1)\\y + 4 = -\frac{2}{3}(x -1)[/tex]
Now convert the line into standard form by using the distributive property.
[tex]y + 4 = -\frac{2}{3}(x -1)\\y + 4 = -\frac{2}{3}x + \frac{2}{3}\\3y + 12 = -2x + 2\\2x + 3y + 12 = 2\\2x + 3y = -10[/tex]
which algebraic expression is a polynomial?
it's the second one because the first has 2 over x which can't be a polynomial because it can't have a variable on the bottom same thing with the last one and the 3rd one it have a x in the square root sign
Answer:
B
Step-by-step explanation:
an obtuse angles measure is
Answer:
between 90° and 180°
Step-by-step explanation:
a number is four times larger than the square of half the number
Answer:
Step-by-step explanation:
Let the number = x
Read carefully the sentence part beginning with 4 times larger
4* something
4 times larger than the square of 1/2 the number
4 * (x/2)^2
4*(x/2)^2 = x
4*x^2/4 = x
x^2 = x be very careful how you handle this. It looks like 0 might be an answer, but it isn't. If you divide x on both sides and you allow 0, you will get 0 / 0 and that is undefined. You must exclude that possibility with some sort of statement.
x cannot be 0.
x^2/x= x/x
x = 1
round 4.2894 to two decimals
Answer:
4.29
Step-by-step explanation:
Answer:
Step-by-step explanation:
We want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74. 4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places). 4.737 rounded to 2 decimal places would be 4.74
* A turtle and a snail start moving towards each other when they are 200 feet apart. The turtle is running at a speed of T feet per minute, and the snail is moving at a speed of S feet per minute. How soon will they meet?
Answer:
S+T
Step-by-step explanation:
Find the surface area of a water tower
Answer:
SA = 3,140 ft³Step-by-step explanation:
We have:
h = 40 ft
2r = 20 ft → r = 10 ft
Substitute to the formula of a Surface Area of a cylinder:
[tex]SA=2\pi r^2+2\pi rh[/tex]
[tex]SA=2\pi(10^2)+2\pi(10)(40)=2\pi(100)+2\pi(400)\\\\=200\pi+800\pi=1,000\pi\ ft^3\\\\\pi\approx3.14\to SA\approx1,000(3.14)=3,140\ ft^3[/tex]
Which of the following describes the expression 4 divided by (5x1/2)?
Answer:
8/11
Step-by-step explanation:
find the size of angle acb
The answer is a 74 degree angle. This is a simple one to remember.
Geometry! Please help!
Answer:
X=3
Y=9
Step-by-step explanation:
X is equal to the 3 and multipy 3 by its self to get Y=9
A yogurt company charges 72 cents for a 6 ounces container of yogurt. How much does it charge for an 8 ounce container?
Answer:
96¢
Step-by-step explanation:
We need to find out how much they charge per ounce so
0.72 divided by 6 = 0.12
so it's 12¢ They charge 12¢ an ounce
0.12 x 8 = 96
96¢ for 8 ounces
Hope this helps! Please mark as brainliest! Thanks!
Which net represents the figure?
Answer:
Last net.Step-by-step explanation:
All sides of the figure are triangles. Therefore, the last net represents this figure.
Answer:
It is the Last Net!
Step-by-step explanation:
I learned this in Class and on the lessons. Thankyou have a great day!
if ||M and M6 = 4X - 15 and m7 = x + 30 then m 6 =
Answer:
15Step-by-step explanation:
∠6 and ∠7 are Alternate Interior Angles.
The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.
m∠6 = m∠7 → 4x - 15 = x + 30 add 15 to both sides
4x = x + 45 subract x from both sides
3x = 45 divide both sides by 3
x = 15
Answer:
[tex]\angle 6 =45^{\circ}[/tex]
Step-by-step explanation:
We are given that l || m
[tex]\angle 6 = 4x-15[/tex]
[tex]\angle 7 = x+30[/tex]
Since l || m
So, [tex]\angle 6 = \angle 7[/tex] (Alternate interior angles are equal )
So, [tex]4x-15 = x+30[/tex]
[tex]3x= 45[/tex]
[tex]x= 15[/tex]
[tex]\angle 6 = 4x-15=4(15)-15 = 45^{\circ}[/tex]
So, [tex]\angle 6 =45^{\circ}[/tex]
7 1/2 divided by 1 9/10 simplified
Answer:
[tex]\large\boxed{3\dfrac{18}{19}}[/tex]
Step-by-step explanation:
[tex]\text{First step:}\\\text{Convert the mixed number to the improper fractions:}\\\\7\dfrac{1}{2}=\dfrac{(7)(2)+1}{2}=\dfrac{15}{2}\\\\1\dfrac{9}{10}=\dfrac{(1)(10)+9}{10}=\dfrac{19}{10}\\\\7\dfrac{1}{2}:1\dfrac{9}{10}=\dfrac{15}{2}:\dfrac{19}{10}\\\\\text{Dividing by a fraction is the same as multiplying by the inverse of a fraction}\\\\=\dfrac{15}{2}\cdot\dfrac{10}{19}=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot\dfrac{10\!\!\!\!\diagup^5}{19}=\dfrac{15}{1}\cdot\dfrac{5}{19}=\dfrac{75}{19}=3\dfrac{18}{19}[/tex]
First, convert the mixed fractions into improper fractions. Then, turn the division problem into a multiplication problem by utilizing the concept of reciprocal. This gives us 75/19, or about 3.95 in decimal.
We first need to convert the mixed fractions into improper fractions. To do this, we multiply the whole number by the denominator of the fractional part and then add the numerator, placing this sum over the original denominator. This makes 7 1/2 into 15/2 and 1 9/10 into 19/10. The division problem 7 1/2 divided by 1 9/10 simplifies to 15/2 divided by 19/10.
Next, we remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, we change our division problem into a multiplication problem, transforming 15/2 divided by 19/10 into 15/2 * 10/19.
After multiplying these fractions, we get 150/38, which simplifies to 75/19, which is approximately 3.95 when converted to decimal.
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Plz help !!!!!!!!!!!
Answer:
the first one
Step-by-step explanation:
the 36 and the 5 stay in the same places
the x with the negative 4 exponent moves to the bottom and combines with x squared so that makes x to the 6th power on the bottom.
The y and x move to the top to combine with what is there.
Answer: [tex]\bold{a)\quad \dfrac{36y^5z^2}{5x^6}}[/tex]
Step-by-step explanation:
[tex]\dfrac{36x^{-4}y^2z^0}{5x^2y^{-3}z^{-2}}\\\\\\=\dfrac{36x^{-4+4}y^{2+3}z^{0+2}}{5x^{2+4}y^{-3+3}z^{-2+2}}\\\\\\=\dfrac{36x^{0}y^5z^2}{5x^6y^{0}z^{0}}\\\\\\=\dfrac{36y^5z^2}{5x^6}[/tex]
2x + x = please help
Answer:
3x
Step-by-step explanation:
If you have 2x, that would mean there is 1x and 1x. T
he question asks what 2x+2x+1x is, and since all three have the same variable you can just add the coefficient.
The coefficients are 1, 1, and 1 since they are in front of the variable.
The variable is x.
Therefore, since 1+1+1=3, your answer is 3x.
20 POINTS
Please help
Divide total miles by miles per gallon:
1200 / 30 = 40 gallons of gas are needed.
Multiply gallons by price per gallon:
40 x 3.85 = $154 total for gas.
Now add the total for gas to the rental cost:
154 + 99 = $253 total cost
Write an equation of each line that passes through the following points in slope-intercept form:
A (8, –1) and B (–4, 17)
Answer:
[tex]\large\boxed{y=-\dfrac{3}{2}x+11}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the point A(8, -1) and B(-4, 17). Substitute:
[tex]m=\dfrac{17-(-1)}{-4-8}=\dfrac{18}{-12}=-\dfrac{3}{2}[/tex]
The equation of a line:
[tex]y=-\dfrac{3}{2}x+b[/tex]
Put the coordinates of the point A(8, -1) to the equation of a line:
[tex]-1=-\dfrac{3}{2}(8)+b[/tex]
[tex]-1=-3(4)+b[/tex]
[tex]-1=-12+b[/tex] add 12 to both sides
[tex]11=b\to b=11[/tex]
Finally we have the equation of a line in a slope-intercept form:
[tex]y=-\dfrac{3}{2}x+11[/tex]
What is the area of a right triangle with vertices of (-2,-4),(2,-4), and (2,5)?
Answer:
A = 18
Step-by-step explanation:
The formula for the area of a triangle is
A = ½bh
b = x₂ - x₁ = 2 - (-2) = 2 + 2 = 4
h = y₂ - y₁ = 5 - (-4) = 5 + 4 = 9
A = ½ × 4 × 9 = 18
The area of the triangle is 18.
What are two lines in the same plane that intersect at right angles?
Answer: perpendicular
Step-by-step explanation: perpendicular lines are lines that intersect at right angles.
Answer: Perpendicular lines intersect so much so that they create 4 90 degree angles around them.
solve the following problems. remember, its easiest to solve the questions in the paranthesis first.
4 ÷ (5+12)
(3+6) + 17
(3+4) + (5÷6)
Problem 1:
Simplify 5+12+to 17.
4÷17
4 divided by 17 is 0.235294.
Problem 2.
Simplify 3+6+ to 9.
9 + 17 = 26.
Problem 3.
Change 3 + 4 to 7.
7+5÷6
Simplify 5 divided by 6 to 0.833333.
7 + 0.833333.
You simplify that to get 7.833333.
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This table shows the size in acres of four parks.
What is the median of the sizes of the four parks?
A. 27 acres
B. 30 acres
C. 34 acres
D. 49 acres
I think it would be B.30 here's why i think it would be 30 because it wants to know what the median. and i know that 49 and 27 is not it (i think) and 34 is not it so my answer is 30 PLEASE CORRECT ME IF I AM WRONG.
Answer: 30 acres
Step-by-step explanation: I got a 100% on my quiz!
A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (5x+8) units and a width of 14 units. What will the perimeter of both the rectangle and the square
Answer:
The perimeter of both figures is equal to [tex]64\ units[/tex]
Step-by-step explanation:
step 1
we know that
The perimeter of a square is equal to
[tex]P=4b[/tex]
where
b is the side length of the square
we have
[tex]b=8x\ units[/tex]
substitute
[tex]P=4(8x)=32x\ units[/tex]
step 2
we know that
The perimeter of a rectangle is equal to
[tex]P=2(L+W)[/tex]
we have
[tex]L=(5x+8)\ units[/tex]
[tex]W=(14)\ units[/tex]
substitute
[tex]P=2(5x+8+14)=10x+44\ units[/tex]
step 3
Equate both perimeters and solve for x
[tex]10x+44=32x[/tex]
[tex]32x-10x=44[/tex]
[tex]22x=44[/tex]
[tex]x=2\ units[/tex]
step 4
Find the perimeter of both
square
[tex]P=32x=32(2)=64\ units[/tex]
rectangle
[tex]P=10x+44=10(2)+44=64\ units[/tex]
Translate "the product of z,x, and y"
into a mathematical expression
The mathematical expression for "the product of z, x, and y" can be represented as [tex]\( z \times x \times y \)[/tex].
The mathematical expression for "the product of z, x, and y" can be represented as [tex]\( z \times x \times y \)[/tex]. In this expression, the symbol [tex]\( \times \)[/tex] denotes multiplication, and the three variables [tex]\( z \), \( x \), and \( y \)[/tex] are multiplied together to obtain their product.
This expression succinctly captures the idea of multiplying these three variables. In mathematical terms, a product refers to the result of multiplying two or more numbers or variables.
Therefore, [tex]\( z \times x \times y \)[/tex] represents the outcome of multiplying the values represented by the variables [tex]\( z \), \( x \), and \( y \)[/tex].
This expression provides a clear and concise way to articulate the mathematical concept of the product of three variables.
The product of ( z ), ( x ), and ( y ) is: ( zxy ).
To translate the phrase "the product of ( z ), ( x ), and ( y )" into a mathematical expression, follow these steps:
1. Identify the Variables:
The variables involved in the expression are ( z ), ( x ), and ( y ).
2. Understand the Operation:
The term "product" indicates multiplication.
3. Write the Expression:
To express the product of ( z ), ( x ), and ( y ) mathematically, you simply multiply these variables together.
1. Start with the First Two Variables:
Multiply ( z ) and ( x ) together.
[tex]\[ z \times x \][/tex]
2.Include the Third Variable:
Now, multiply the result from the first step by ( y ).
[tex]\[ (z \times x) \times y \][/tex]
3. Simplify the Expression:
In multiplication, the order in which you multiply numbers does not matter due to the commutative property of multiplication. Therefore, we can drop the parentheses.
[tex]\[ z \times x \times y \][/tex]
Final ExpressionThe mathematical expression for "the product of ( z ), ( x ), and ( y )" is:
[tex]\[z \cdot x \cdot y\][/tex]
or simply:
[tex]\[zxy\][/tex]
This is the complete mathematical translation of the given phrase.
What is the value of ln e^4
Answer:
[tex]\large\boxed{\ln e^4=4}[/tex]
Step-by-step explanation:
[tex]Use\\\\\log_ab^n=n\log_ab\\\\\log_aa=1\\\\\ln a=\log_e a\to\ln e=1\\====================================\\\\\ln e^4=4\ln e=4(1)=4[/tex]
4 is the value of the given logarithmic function.
The natural logarithm (ln) and the exponential function [tex](e^x)[/tex] are inverse operations of each other. Therefore, [tex]ln(e^x)[/tex] will cancel out and leave us with just x.
In this case,[tex]ln(e^4)[/tex] simplifies to just 4:
[tex]ln(e^4) = 4[/tex]
So, the value of [tex]ln(e^4)[/tex] is 4.
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