The ratios of the measures of three angles of a triangle are 4: 6: 8 . Find the measure of each angle of the triangle.

Answer:

6

Step-by-step explanation:

Let x by the unknown number.

Given:

Therefore, the equation representing the given information is:

\(\boxed{x^2+85=(x-17)^2}\)

To solve for x, expand the right side:

\(\implies x^2+85=(x-17)^2\)

\(\implies x^2+85=(x-17)(x-17)\)

\(\implies x^2+85=x^2-34x+289\)

Subtract x² from both sides of the equation:

\(\implies 85=-34x+289\)

Add 34x to both sides:

\(\implies 34x+85=289\)

Subtract 85 from both sides:

\(\implies 34x=204\)

Divide both sides by 34:

\(\implies x=6\)

Therefore the unknown number is 6.

Answer:

[See Below]

Step-by-step explanation:

✦ Formula = √area

  ✧ √484 = 22

✦ Check: 22 x 22 = 484

So the side length is 22.

~Hope this helps Mate. If you need anything feel free to message me.

Answer: Intrest is 1575 the total is 4075

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

The measure of angle B is given as follows:

m < B = 172º.

Vertical angles are angles that are opposite by the same vertex in crossing segments, and these angles are congruent, meaning that they have the same measure.

For this problem, angles A and B are congruent, hence the value of x is obtained as follows:

8x - 20 = 7x + 4

x = 24.

Hence the measure of angle B is obtained as follows:

m < B = 8(24) - 20

m < B = 172º.

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Answer: 13/2

Decimal answer 6.5

im sorry if it was wrong it was what I got

Step-by-step explanation:

The constant torque required to bring the flywheel up to an angular speed of 400 rev/min in 8.00 s, starting from rest, is 5755.17 N m.

The constant torque required to bring the flywheel up to an angular speed of 400 rev/min can be calculated using the rotational kinematic equation:

ω = ω0 + αt

where ω0 = 0 (initial angular velocity), ω = (400 rev/min)(2π rad/rev) = 4188.79 rad/s (final angular velocity), α is the angular acceleration, and t = 8.00 s is the time interval.

The angular acceleration can be determined using the rotational analog of Newton's second law, τ = Iα, where τ is the torque applied to the flywheel and I is its moment of inertia:

α = τ/I

Substituting this expression for α into the first equation, we get:

ω = (τ/I)t

Solving for τ, we get:

τ = Iω/t

Substituting the given values, we get:

τ = (1.10 kg m²)(4188.79 rad/s)/8.00 s = 5755.17 N m

Therefore, the constant torque required to bring the flywheel up to an angular speed of 400 rev/min in 8.00 s, starting from rest, is 5755.17 N m.

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Answer:

ubvuugvgbihijniphubhovuv

Step-by-step explanation:

The factorization of the expression y³ - 23y² + 142y - 120 is (y - 1) (y - 12) (y - 10).

y³ - 23y² + 142y - 120

= y³ - y² - 22y² + 22y + 120y - 120

= y²(y - 1) - 22y(y - 1) + 120(y - 1)

= (y - 1) (y² - 22y + 120)

= (y - 1) (y² - 12y - 10y + 120)

= (y - 1) y(y - 12) - 10(y - 12)

= (y - 1) (y - 12) (y - 10)

Therefore, the factorization of the expression y³ - 23y² + 142y - 120 is (y - 1) (y - 12) (y - 10).

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The line passing through the points (1, 0, 1) and (5, -2, 5) intersects the plane x + y + z = 14 at the point (3, -1, 11).

To find the intersection point, we can first find the direction vector of the line by subtracting the coordinates of the two given points.

The direction vector is (5 - 1, -2 - 0, 5 - 1) = (4, -2, 4).

Next, we can substitute the coordinates of one of the points (1, 0, 1) into the equation of the plane x + y + z = 14 to find the value of the parameter t at that point. By substituting the values into the equation, we get 1 + 0 + 1 = 14, which simplifies to 2 = 14. This implies that t = 2.

Finally, we can find the coordinates of the intersection point by substituting t = 2 into the parametric equations of the line. The x-coordinate is given by x = 1 + 4t = 1 + 4(2) = 9.

y-coordinate is y = 0 + (-2)t = 0 + (-2)(2) = -4. The z-coordinate is z = 1 + 4t = 1 + 4(2) = 9. Therefore, the intersection point is (9, -4, 9).

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The expression (p ∨ ¬q) ∧ (⊥) is not satisfiable because it contains a contradiction (∧ ⊥). There is no assignment of truth values to propositions p and q that would make the entire expression true.

The expression (p ∨ ¬q) ∧ (⊥) represents a conjunction (∧) of two subexpressions: (p ∨ ¬q) and (⊥). The subexpression (p ∨ ¬q) consists of a disjunction (∨) between proposition p and the negation (¬) of proposition q. This subexpression can be true if either p is true or q is false.

However, the second subexpression (⊥) represents a contradiction. The symbol (⊥) denotes false or contradiction. A contradiction is a statement that is always false, regardless of theb assigned to propositions.

When we have a conjunction (∧) between a subexpression that can be true and a subexpression that is always false (contradiction), the entire expression becomes always false. There is no assignment of truth values to propositions p and q that would make the entire expression (p ∨ ¬q) ∧ (⊥) true.

Therefore, the given expression (p ∨ ¬q) ∧ (⊥) is not satisfiable. It is not possible to find a satisfying assignment of truth values that makes the expression true due to the presence of the contradiction (⊥).

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The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Answer:

y=-x+4

Step-by-step explanation:

Answer: y= x+4

Step-by-step explanation:

Answer:

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.

Step-by-step explanation:

Hope this helps!

The adult male foot length of 25.0 cm is significantly low because it is less than 25.25 cm. Option A is correct

To determine whether the adult male foot length of 25.0 cm is significantly low or significantly high, we can use the range rule of thumb. The range rule of thumb states that values that fall outside of the range of mean ± 2 times the standard deviation can be considered significantly low or significantly high.

Given that the mean foot length is 27.95 cm and the standard deviation is 1.35 cm, we can calculate the limits using the range rule of thumb:

Significantly low values: Mean - 2 * Standard deviation

= 27.95 - 2 * 1.35

= 27.95 - 2.70

= 25.25 cm

Significantly high values: Mean + 2 * Standard deviation

= 27.95 + 2 * 1.35

= 27.95 + 2.70

= 30.65 cm

Now we can compare the adult male foot length of 25.0 cm to the limits:

The adult male foot length of 25.0 cm is significantly low because it is less than 25.25 cm.

Therefore, the correct choice is:

A. The adult male foot length of 25.0 cm is significantly low because it is less than 25.25 cm.

According to the range rule of thumb, values that fall below the lower limit can be considered significantly low. In this case, since 25.0 cm is lower than the lower limit of 25.25 cm, it is significantly low compared to the mean foot length of adult males. Option A is correct.

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The sum of lengths of the two diagonals in a rectangle whose dimensions are 5 by 12 units is 26 units.

As, The length of the diagonal of rectangle

d = √l² + w²

d = √12² + 5²

d= √144+ 25

d= 13 unit

Thus, the sum of lengths of the two diagonals in this rectangle is

= 13 + 13

= 26 unit

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The probability that a college selected at random from the state are (a)  3/10, b- 2/5, c- 1/2  and d- 1/10.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Out of the 50 colleges in a certain state, 25 are private, 15 offer engineering majors and 5 are private colleges offering engineering majors.

The probability that a college selected at random from the state (a) offers an engineering major.

= 15 / 50

= 3/10

The probability that a college selected at random from the state (b) offers an engineering major, given that it is public.

= 20 /50

= 2/5

The probability that a college selected at random from the state (c) is private, given that it offers an engineering major.

= 25/50

= 1/2

The probability that a college selected at random from the state (d) is public, given that it offers an engineering major.

= 5/50

= 1/10

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Step-by-step explanation:

Hey there!

Given;

-6(2x-9) + (7-6x) = 0

Simplify it.

-12x + 54 + 7 - 6x = 0

-18x +61 = 0

Therefore, answer is option B.

Hope it helps!

The Z-score for 12 is -0.83.

Z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The formula for calculating the Z-score of a data point x in a sample with mean μ and standard deviation σ is:

Z = (x - μ) / σ

Substituting the given values, we get:

Z = (12 - 17) / 6

Z = -0.83 (rounded to two decimal places)

Therefore, the Z-score for 12 in the given sample of data values is -0.83 (to the nearest 0.01).

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Answer:

45 + 21e

3 (7e + 15)

Answer:

1.6 km in a mile

Step-by-step explanation:

that's the anwer

Answer:

There is 1.60934 kilometers in a mile

Step-by-step explanation:

Answer:

try 3/26

Step-by-step explanation:

Answer: The items cost as follows;

(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28

Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.

The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;

x + y + z = 52.50

However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.

Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.

Note however that, if y = 3z/4, then by cross multiplication,

4y = 3z

4y/3 = z

Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation

x + y + z = 52.50

y/6 + y + 4y/3 = 52.5

using a common denominator which is 6, you now have;

(y + 6y + 8y)/6 = 52.5

By cross multiplication, you now have

15y = 52.5*6

15y = 315

Divide both sides of the equation by 15

y = 21

Therefore, if the sketchbook is y, then the sketchbook costs $21.

Also if the brush is x, then the brush costs

x = y/6

x = 21/6

x = 3.50 (The brush costs $3.50)

Also if the sketchbook costs 3/4 of the paint set, then

y = 3z/4

21 = 3z/4

21*4 = 3z

84 = 3z

Divide both sides of the equation by 3

28 = z (The paint set costs $28)

Answer:

p = 6.95 + (0.95 × t)

Step-by-step explanation:

A function rule explains how to convert an input value (x) into an output value (y) for any given function.

To get the total price (p) we need to add the cost of the pizza itself, and add each topping. The part of the equation (0.95 × t) can solve for the price of each topping, so we add that on.

Using the central angle theorem, the degree measure of x is 53°.

The length of AB is 18.8 units.

Given a circle.

We have the central angle theorem,

We have that the angle subtended by an arc of a circle at the center is twice the angle subtended by the same arc at any point on the circle.

Here, the arc is semicircle.

Angle subtended by semicircle at the center= 180°

So, ∠ADB = 180° / 2 = 90°

Interior angles of a triangle sum up to 180°.

x = 180 - (37 + 90) = 53°

sin (x) = BD / AB

sin (53) = 15 / AB

AB = 15 / sin (53)

AB = 18.78 ≈ 18.8 units

Hence the measure of x is 53° and the length of AB is 18.8 units.

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Answer:

fondo

Step-by-step explanation:

Answer:

in the middle of venn diagram

Step-by-step explanation:

An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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