which angle is not congruent to angle 5

The measure of the angle x in the isosceles triangles are;

x = 44°

1) x = 80°

An isosceles triangle is a triangle that has a pair of congruent sides and a pair of congruent angles.

The measure of the specified angle are found as follows;

The isosceles triangle that has 92° as the exterior angle, indicates that we get;

Base angles of the isosceles triangle = (180° - 92°)/2 = 44°

Vertical angles theorem, indicates that the vertical angle and the base angles of the second isosceles triangle are congruent.

Base angles of the second isosceles triangle = 44°

1) The angle adjacent to the angle x is a base angle of the isosceles triangle that has a base angle of 70°

The vertex angle of the isosceles triangle = 180° - 2 × 70° = 40°

The measure of the section of the indicated 90° angle that is a part of the isosceles triangle that has angle x as the vertex angle = 90° - 40° = 50°

The measure of angle x found using the relationship between the angles in an isosceles is; x = 180° - 2 × 50° = 80°

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The given expression is\((21 - 7x) / (x + 3) / (x^2 - 3x) / (2x + 3)\). To simplify the expression, we need to apply the rules of fraction division and simplify each fraction individually.

To simplify the given expression, we start by dividing the fractions. Division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction.

The expression can be rewritten as\((21 - 7x) / (x + 3) * (2x + 3) / (x^2 - 3x).\)Next, we can simplify each fraction separately.

In the numerator, we can multiply out the terms: \((21 - 7x) * (2x + 3) = 42x + 63 - 14x^2 - 21x.\)

In the denominator, we can factor out an \(x: x^2 - 3x = x(x - 3).\)

Putting it all together, the simplified expression becomes \((42x + 63 - 14x^2 - 21x) / [(x + 3) * x(x - 3)].\\\)

Further simplification may be possible depending on specific factors and terms present in the expression, but without additional information or specific values for x, we cannot simplify the expression any further.

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Step-by-step explanation:

Let say the unknown number we dont know is x

2x+4=6

2x=6-4

2x=2

x=2/2

x=1

So the unknown number is 1

In this scenario, Florin and Guilder are two countries producing two goods, cheese (X) and grain (Y), using labor as the only input. Florin has 3 million workers, each capable of producing 2 blocks of X or 6 wagonloads of Y per year. Guilder has 9.6 million workers, each capable of producing 1 block of X or 4 wagonloads of Y per year. By analyzing their production possibilities frontiers (PPFs) and comparing their labor productivity, we can determine their absolute and comparative advantages, and predict the outcome of free trade.

a) The PPFs for Florin and Guilder can be plotted with X on the horizontal axis and Y on the vertical axis. Given that each country allocates one-third of its labor force to dairy production and two-thirds to wheat farming, we can identify the consumption points (A and A*) where the indifference curves representing their preferences intersect with their PPFs.

b) The PPF equation for Florin can be written as X = 2L/3 and Y = 6L/3, where L represents the labor force. For Guilder, the PPF equation is X = L/9.6 and Y = 4L/9.6.

c) Guilder has the absolute advantage in producing Y as its workers are more productive in Y compared to Florin. However, Florin has the comparative advantage in producing Y because the opportunity cost of producing Y in terms of X is lower for Florin than Guilder.

d) Under free trade, Guilder would export Y and Florin would export X. This is based on the principle of comparative advantage, where each country specializes in producing the good for which it has a lower opportunity cost.

e) When both countries fully specialize and trade, there can be a higher total production of both X and Y compared to the previous consumption points (A and A*). By focusing on producing the goods in which they have a comparative advantage and engaging in trade, both countries can benefit from increased efficiency and resource allocation.

f) To show the new Consumption Possibilities Frontier (CPF) relative to the Production Possibilities Frontier (PPF), we can plot the new CPF by using the given relative price of Y to X (0.3) and connecting the points where each country consumes along the CPF based on their respective comparative advantage and terms of trade.

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Answer:

-1/15 or -0.06

Step-by-step explanation:

The length of PR and QS will be 20 units. And the area of the rectangle will be 173.21 square units.

The area of the right-angle triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the right triangle.

The length of PT is 10 and the angle ∠TPS is 60°.

The length of PR is given as,

PR = PT + TR

PR = 10 + 10

PR = 20

And the length of QS is given as,

QS = QT + TS

QS = 10 + 10

QS = 20

The area of the rectangle is given as,

A = Area of triangle ΔPQR + Area of triangle ΔPSR

A = 2 [(1/2) x (20 cos 60°) x (20 sin 60°)

A = 173.21 square units

The length of PR and QS will be 20 units. And the area of the rectangle will be 173.21 square units.

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Answer:

D

Step-by-step explanation:

∠1 = 2x - 1   {Vertically opposite angles}

2x - 1 + 45 = 180     {Co interior angles}

2x + 44 = 180

       2x = 180 - 44

      2x = 136

        x = 136/2

x = 68

To determine if u and v are eigenvectors of a matrix A, use the formula Av=λv, where λ is the corresponding eigenvalue. If u=6, v=−3, then u and v are not eigenvectors of A. To find corresponding eigenvectors, substitute λ=9 in the equation (A-λI)X=0.

(a) Let A=[3 3 2 8], u=[ 2 3] and v=[ −2 1].

We can define a vector v to be an eigenvector of a matrix A if the following holds: Av=λv where λ is the corresponding eigenvalue. We will now test if u and v are eigenvectors of A as shown below;

u=[ 2 3]

Au= [3 3 2 8] [2 3]

= [12 18]

= 6[ 2 3]

We can clearly see that Au=6u.

Therefore u is an eigenvector of A corresponding to the eigenvalue 6.

v=[ −2 1]

Av= [3 3 2 8] [−2 1]

= [−6 3]

= −3[ −2 1]

We can clearly see that Av=−3v.

Therefore v is an eigenvector of A corresponding to the eigenvalue −3.No, u and v are not eigenvectors of A.(b) To show that 9 is an eigenvalue of A, we can proceed as shown below:|A-λI| =0 where I is the identity matrix of same size as A.

|A-λI| = |3−λ 3 2 8−λ|

= (3-λ)(8-λ)-2(3)(2)|A-λI|

= λ2 − 11λ + 18

= 0(λ−2)(λ−9)

= 0.

We obtain the eigenvalues  λ1=2 and λ2=9.

To find the corresponding eigenvectors we substitute λ=9 in the equation (A-λI)X=0 as shown below:We have;

A−9I = [−6 3 2 −1]X

= [x1x2]

⇒[−6 3 2 −1] [x1x2]

= [0 0].

Solving we obtain x1=−x2/2. Choosing x2=2 we get the eigenvector [−2 4]. Hence the corresponding eigenvectors are given by;v1=[ 2 3] corresponding to eigenvalue λ1=2v2=[ −2 4] corresponding to eigenvalue λ2=9.

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Answer:

Two thirds of a bag.

Step-by-step explanation:

1/2 * 2 = 1

1/3 * 2 = 2/3

Hope this helped!

The probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer is 5/45, or approximately 0.11.

To calculate the probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer, we need to consider the number of possible combinations of socks that result in a match and divide that by the total number of possible combinations of two socks.

The man has a total of 5 pairs of socks, or 10 socks, so there are 10 choose 2, or 45, possible combinations of two socks. Out of these, 5 of them result in a match, because there are 5 pairs of matching socks in the drawer.

Therefore, the probability of getting a matched pair of socks is 5/45, or approximately 0.11. This means that there is an 11% chance that the man will select a matched pair of socks if he randomly selects two socks from the drawer.

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Here, we want to know the percentage that is 1 standard deviation above the mean and 1 standard deviation below the mean

Answer:

Prism A

Step-by-step explanation:

formula for prism triangular prisms: V=1/2(bhl) so V=1/2(4 x 7 x 9) V=126 m

formula for rectangular prisms: V=b x h x l so V= 8 x 8 x 2 V=128

126 is less than (<) 128 so Prism A

Answer:

g = 1/2

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

9 + 3.5g = 11 - 0.5g

Step 2: Solve for g

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Here we see that 10.75 does indeed equal 10.75.

∴ g = 1/2 is a solution of the equation.

Answer: g= 0.5

Step-by-step explanation:

Add

3.5g and 0.5g. to get

9+4g=11

then subtract 9 from the 11 and you should get 4g=2.

then divide 4 from 2 and you should get the answer of 2/4.

simplify it and you should get the answer g=0.5

The percentage by which the price of the shirt is decreased is 20%.

So, the price of a shirt is marked down from $12.50 to $10.00.

Then,

Now, the shirt's percentage has decreased:
(Change in price)/(Previous price) ×100

Therefore, the percentage by which the price of the shirt is decreased is 20%.

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The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:

The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.

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(7) The volume of the square base pyramid is 122.5 in³.

(8) The volume of the equilateral base pyramid is 311.8 cm².

(9)  The volume of the square base pyramid is 2,880 ft³.

The volume of the pyramids is calculated by applying the following formula as follows;

(7) The volume of the square base pyramid is calculated as;

V = ¹/₃Bh

where;

V = ¹/₃ x (7 in x 7 in ) x 7.5 in

V = 122.5 in³

(8) The volume of the equilateral base pyramid is calculated as;

V = ¹/₃Bh

V = ¹/₃ x (a²√3/4) x h

V =  ¹/₃ x (12²√3/4) x 15

V = 311.8 cm²

(9)  The volume of the square base pyramid is calculated as;

V = ¹/₃Bh

where;

V = ¹/₃ x (24 ft x 24 ft ) x 15 ft

V = 2,880 ft³

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Answer:

12000

plss mark brainliest

Step-by-step explanation:

8000÷2/3

Explanation:

x = full tank capacity

2/3 of x = (2/3)*x = 8000 which is the amount Ron states when its 2/3 full

To solve for x, we will multiply both sides by 3 and then divide both sides by 2 like so

(2/3)x = 8000

2x = 8000*3

2x = 24000

x = 24000/2

x = 12000 liters is the full capacity

Note that,

2/3 of 12000 = (2/3)*12000 = 8000

which confirms our answer.

Answer: the value of the sin is 35

Step-by-step explanation:

I did this before

Therefore, the answer of the given question of the equation maximum value is 41 .

What is equation?

The equal sign is used between numerical or changeable expressions to create an equation, such as 3x+5=11.

A number that can be entered as the variable's replacement in an equation serves as the solution.

According to the given question:

Correct option is D)

f(x)=  3+9x+17 /  3+9x+7

=> 3+9x+7+10 / 3+9x+7

=> 1 +  10 / 3+9x+7

f(x) = 0 for maximum value

f(x)= 10 (6x+9) / (3x2+9x+7)2

6x+9=0

X=-3/2

Given that x is real, the highest value of f(x) is => 1 +

=> 1 +

=> 1 + 40/1 = 41

Therefore, the answer of the given question of the equation is 41 .

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Answer:

It would be 54.6

Step-by-step explanation:

The 6 doesn't round up, so it would be 54.6

Hope this helps!

Answer:

The answer is x = -4 ± 2i

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

polynomial degree:224

leading term:7x^223

leading coefficient:7

The probability that the two pets selected are of the same species  is 0.2426   .

In the question ,

it is given that ,

the number of puppies in the pet store = 6

the number of kittens in the pet store = 9

the number of lizards in the pet store = 4

the number of snakes in the pet store = 5

total animals = 24

the probability of selecting 2 puppies = ⁶C₂/²⁴C₂

the probability of selecting 2 kittens = ⁹C₂/²⁴C₂

the probability of selecting 2 lizards = ⁴C₂/²⁴C₂

the probability of selecting 2 snakes = ⁵C₂/²⁴C₂

So , the required probability is

= ⁶C₂/²⁴C₂  + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂  + ⁵C₂/²⁴C₂  

Simplifying further ,

we get ,

= 5/92 + 3/23 + 1/46 + 5/138

= 0.0543 + 0.1304 + 0.0217 + 0.0362

= 0.2426

Therefore , the required probability is 0.2426   .

The given question is incomplete , the complete question is

The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?

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Answer:

All real numbers are solutions

Step-by-step explanation:

4(x+3)−7>x+3(x+1)

Step 1: Simplify both sides of the inequality.

4x+5>4x+3

Step 2: Subtract 4x from both sides.

4x+5−4x>4x+3−4x

5>3

Step 3: Subtract 5 from both sides.

5−5>3−5

0>−2

Explanation

Step 1: Simplify both sides of the inequality.

4x+5-4x>4x + 3, - 4x

Step 2: Subtract 4x from both sides.

4x+5-4x>4x+3-4x

5>3

Step 3: Subtract 5 from both sides.

5 - 5 > 3 - 5

0> -2

Answer:

All real numbers are solutions.

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and trig functions in right triangles. These can be used to solve the triangles shown.

__

  Sin = Opposite/Hypotense

  sin(48°) = 15/o

  o = 15/sin(48°) ≈ 20.18 . . . . . . . . . multiply by o/sin(48°)

  Cos = Adjacent/Hypotenuse

  cos(48°) = b/o

  b = o·cos(48°) = 20.18·cos(48°) ≈ 13.51

For triangle BOX, o = 20.18, b = 13.51.

__

  Sin = Opposite/Hypotense

  sin(25°) = i/30

  i = 30·sin(25°) ≈ 12.68

  Cos = Adjacent/Hypotenuse

  cos(25°) = n/30

  n = 30·cos(25°) ≈ 27.19

For triangle TIN, i = 12.68, n = 27.19.

Answer:

$0.52 cents per banana. $39 divided by the 75 bananas

Step-by-step explanation:

Answer:

$0.52

Step-by-step explanation:

When finding the unit price, we use divide the certain number of units of an item by the number of units

So for this question we will divide 39/75 to get a result of $0.52

The height of the all after 2 secs is 86 feet

Given the height in feet above the ground was given by the following function h(t) = -16t^2 + 75t

where:

t is the number of seconds since the ball was punted.

If the value of t = 2s, hence;

h(t) = -16t^2 + 75t

h(2) = -16(2)^2 + 75(2)

h(2) = -64 + 150
h(2) = 86

Hence the height of the all after 2 secs is 86 feet

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Using the scatter plot given, the linear function is y = 7/9x + 2

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to the straight line.

In this problem, we have two points which are indicated by the yellow dots in the scatter plot.

The points have coordinates of (0, 2) and (9, 9)

Using the slope-intercept form equation;

y = mx + c

The slope of the function is given as;

m = y₂ - y₁ / x₂ - x₁

m = 9 - 2 / 9 - 0

m = 7 / 9

The slope of the line is 7/9

Using the slope and one point on the graph, we can find the y - intercept

y = mx + c

2 = 7/9(0) + c

c = 2

The linear function is y = 7/9x + 2

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