Identify m∠A and m∠E.

The figure shows two right triangles A B C and E D F. Angles B and D are right angles. Angle C is congruent to angle F. A measure of angle A is given by the formula 5 times x degrees. A measure of angle E is given by the formula x plus 20 degrees.

40°, 50°
30°, 60°
45°, 45°
25°, 25°

Answer:

d) the two triangles are similar by AA

Step-by-step explanation:

The relationship in the triangle that must be true is sin B = cos (90 - B).

option B.

Complementary angles are two angles that add up to 90 degrees. In other words, if you have two angles that are complementary, the measure of one angle added to the measure of the other angle will equal 90 degrees.

In the given diagram, angle A is complementary to angle B.

90 - B = A

From the diagram, Sin B = b/c

Cos (90 - B) = Cos A = b/c

So Cos (90 - B) is equal to sin B because the two angles are complementary.

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Answer:

Using the given information in the problem, the value of f  is 9

Step-by-step explanation:

In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.

Let's set up our equation for tangent.

\(Tan(58)=\frac{15}{f}\)

Since we are looking for f , then we will rearrange the equation.

\(f=\frac{15}{tan(58)}\)

Now, we will solve for x. You can use a calculator to do these calculations.

\(f=9\)

So, the value of f in the triangle is 9.

Answer:  f=9

Because quick mafs says so

Answer:

thanks

Step-by-step explanation:

Answer:

1st, 2nd 5th

Step-by-step explanation:

Lillian had $9.05, to begin with. After buying some oranges for $5.00, Lillian has $4.05 left.

What is the equivalent expression?

An expression is a mathematical phrase that combines numbers, variables, and operators, such as addition, subtraction, multiplication, and division. To find an equivalent expression, you would need to perform a mathematical operation or simplify the original expression in some way.

Let's assume that Lillian had x dollars to begin with.

After buying some oranges for $5.00, she has x - 5 dollars left.

We are told that she has $4.05 left, so we can write:

x - 5 = 4.05

Adding 5 to both sides, we get:

x = 9.05

Therefore, Lillian had $9.05, to begin with. After buying some oranges for $5.00, Lillian has $4.05 left.

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Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

Answer:

When the determinant of a matrix is almost 0, it means that the matrix is close to being singular, which means that its inverse does not exist or is very close to not existing. This has important implications for the solution of systems of linear equations represented by the matrix.

Specifically, if the determinant of a matrix is almost 0, then the matrix is almost singular, which means that its columns are almost linearly dependent. This, in turn, means that the system of equations represented by the matrix has almost linearly dependent equations, which can lead to multiple solutions or no solutions at all.

In terms of the sensitivity of the solution to changes in the constants of the system, a small change in the constants can lead to a large change in the solution when the determinant of the matrix is almost 0. This is because the inverse of the matrix is very sensitive to changes in its entries when the determinant is almost 0.

For example, consider a system of linear equations represented by a matrix A with determinant very close to 0, and let b be the vector of constants on the right-hand side of the equations. Then, the solution to the system can be approximated by the product of the inverse of A (if it exists) and b, that is:

x = A^(-1) b

However, if A is almost singular, then its inverse is very sensitive to changes in its entries, and a small change in b can lead to a large change in x. This can make the solution to the system unreliable and unstable, and can be a source of numerical errors in computations.

Step-by-step explanation:

Answer:

no thank u :)

Answer:

\(F= \frac{u^{2}-H}{g}\)

Step-by-step explanation:

That's a hard one, I will try to solve

I attached my work below

Answer:

98°

142°

83°

97°

Step-by-step explanation:

m(arc)JL = 2 × 49° = 98°

m(arc)MJ = 360° - 120° - 98° = 142°

m<KJM = (120° + 46°)/2 = 83°

m<KLM = (360° - 120° - 46°)/2 = 97°

Answer:

4 questions

Step-by-step explanation:

90% is the same as multiplying a number by 0.9. Let's say the number of questions on the quiz is x. This means the amount she got right was 0.9x. We are given this is 36, so we can set them equal and simplify:

0.9x = 36

x = 40

She must have gotten 40 - 36, or 4 questions wrong.

Answer:

Alexis: 2.5x

Gary: x

James: x + 18

Total: (2.5x) + (x) + (x + 18)

              = 4.5x + 18

Bonus:

4.5x + 18 = 1206

4.5x = 1188

    x = 264

Alexis: 2.5(264) = 660

Gary: 264

James: 264 + 18 = 282

Answer:

The ratio between A and B is 30/1.

Step-by-step explanation:

In math, ratios are the relationships between two quantities using division. They want us to find the ratio of A (3 * 10^-6) to B (0.0000001). While the quantity of A is in scientific notation, the quanitity of B is in decimal notation.

Scientific notation is a way to notate very large or very small numbers in the form of a * 10^m, where 1 ≤ a < 10.

Decimal notation is the regular notation we use for rational numbers that are not fractions or percentages.

I will do the math in scientific notation. First, I will convert B from decimal notation to scientific notation. To do this, I must first find the decimal point in B.

0.0000001

Then, I move the decimal place right until the a number is between 1 and 10.

1

But we can't just make such a small number into 1 like nothing! I have to notify the change in a using powers of 10. SInce I moved the decimal place 7 places and the number got smaller, I will say that 1 can be multiplied by 10^-7

1 * 10^-7.

Now I can find the ratio between A and B. First, I write the ratio as is.

(3 * 10^-6)/(1 * 10^-7)

Next, I can rearrange the a number and the powers of 10 with each other.

= (3/1)(10^-6/10^-7)

Simplify.

= (3)(10)

= 30

The ratio between A and B is 30/1.

Answer:

\( \underline{\boxed{Part \: A}}: \\ \: \\the \: function \: is \: a \: \boxed{ geometric \: sequence} \\ \\ \underline{\boxed{Part \: B}}: \\\boxed{T_n = a( {r})^{(n - 1)}} \\ \\ \underline{\boxed{Part \: C}}: \\ \boxed{T_4 = T_3( { - 3})^{(1)}} \\ \\ \underline{\boxed{Part \: D}}: \\ \boxed{ T_9 = 26,244}\)

Step-by-step explanation:

\( \underline{\boxed{Part \: A}}: \\ \: \\the \: function \: is \: a \: \boxed{ geometric \: sequence} \\ this \: due \: to \: their \: common \: ratio (r)= \boxed{- 3} \\ \\ \underline{\boxed{Part \: B}}: \\ \\ let \: the \: required \: term \: be \to \: T_n \\ let \: the \: first \: term \: be \to \: a \\ let \: the \:common \: ratio \: be \to \: r \\ hence : \boxed{T_n = a( {r})^{(n - 1)}} \\ where \: n \: is \: the \: number \: of \: term. \\ \\ \underline{\boxed{Part \: C}}: \\ let \: the \: required \: term \: be \to \: T_4 \\ hence : \boxed{T_4 = T_3( { - 3})^{(1)}} \\ \\ \underline{\boxed{Part \: D}}: \\if \: a = 4 : r = ( - 3) : n = 9 \\ hence : \boxed{T_9 = 4( { - 3})^{(9 - 1)}} \\ hence : \boxed{T_9 = 4( { - 3})^{(8)}} \\T_9 = 4( 6,561) \\ \boxed{ T_9 = 26,244}\)

Answer:

2/3x + 3y = 1/5

Step-by-step explanation:

-3y + 1/5 = 2/3x (subtract 1/5)

-3y = 2/3x - 1/5 (subtract 2/3x)

-2/3x - 3y = -1/5 (divide by negative 1)

2/3x + 3y = 1/5

Hope this helps ya!!

Answer:

they have gained 3 yards

Step-by-step explanation:

they were at -3 then gained 8 which put them at 5 then lost 2 which put them at 3

Kofi's age is 20 and Kwaku's age is 15.

The sum of the ages of two brothers;Kofi and kwaku is 35 kofi's age is two-thirds of kwaku's age and to  find their ages let's assume Kwaku's age to be x, then Kofi's age would be (2/3)x.

According to the problem, the sum of their ages is 35, so we can write the equation:

x + (2/3)x = 35

Multiplying both sides by 3, we get:

3x + 2x = 105

5x = 105

x = 21

Therefore, Kwaku's age is 21, and Kofi's age is (2/3) x 21 = 14.

Hence, the ages of the two brothers are 21 and 14 respectively.

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Kofi's age is 14 and Kwaku's age is 21.

Let's represent The Kofi's age as K and Kwaku's age as W.

The sum of the ages of two brothers; Kofi and kwaku is 35 kofi's age is two-thirds of kwaku's age

so,

K + W = 35

Kofi's age is two-thirds of Kwaku's age: K = (2/3)W

We can solve this system of equations to find their ages.

Substituting the second equation into the first equation:

(2/3)W + W = 35

(5/3)W = 35

W = (3/5) * 35

W = 21

Substituting the value of W back into the second equation to find Kofi's age:

K = (2/3) * 21

K = 14

Therefore, Kofi's age is 14 and Kwaku's age is 21.

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Answer:

$5.95

Step-by-step explanation:

85 x 7/100=5.95

Answer:

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

\(x = \frac{13}{23} \times 360\)

\(x = 203.48\)

\(x = 203.5\)

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

Answer:

C

Step-by-step explanation:

(6 * 4 ) * 2 = 48

( 4 * 12 ) * 2 = 96

( 6 * 12 ) * 2 = 144

48 + 96 + 144  = 288

Answer:

:Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded

Step-by-step explanation:

Answer:  Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Step-by-step explanation:

Answer:

-42

Step-by-step explanation:

=> (-6)(-7)(-1)

=> (42)(-1)

=> -42

Answer:

-42

Step-by-step explanation:

-6*-7*-1

=-42

product means mutiplying

hope that help you

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

0.4

Step-by-step explanation:

The formula for the volume of a pyramid in terms of the base area (b) is b = (3v) / h.

To rewrite the formula for the volume of a pyramid in terms of the base area, we can rearrange the equation v = bh/3.

1. Multiply both sides of the equation by 3 to eliminate the fraction: 3v = bh.
2. Divide both sides of the equation by h to isolate b: b = (3v) / h.

To rewrite the formula, we start with the original formula v = bh/3. We want to isolate the base area (b), so we first multiply both sides of the equation by 3 to eliminate the fraction, resulting in 3v = bh. Then, to isolate b, we divide both sides of the equation by h, giving us b = (3v) / h. This final equation allows us to find the base area (b) given the volume (v) and height (h) of the pyramid.

The formula for the volume of a pyramid in terms of the base area is b = (3v) / h.

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Answer:

The Clubhouse and the Swimming Pool

Step-by-step explanation:

If you look closely the points are on the buildings. The X axis is left to right.

The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis

Answer:

club house and swimming pool

Step-by-step explanation:

club house and swimming pool both have an x-coordinate of 12.

Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip

Step-by-step explanation:

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°