4x + 10 > 54 how do I solve this

Answer:

True

Step-by-step explanation:

This is true by definition.

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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Answer:

10+8y-9y-12 is equivalent to H.

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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The third quartile of the date is Q₃=75

The numbers known as quartiles are used to divide the provided data set into four equal portions, or three points. Thus, the values that split the provided data into three quarters are known as quartiles. The center point of distribution is shown by the middle portion of the quartiles. The interquartile range is determined by the difference between the higher and lower quartiles so established.

Data 26, 34, 38, 49, 65, 75, 81  

First arrange the data from smallest to greatest

26, 34, 38, 49, 65, 75, 81  

Then find the median of the data,

Since, the data is in odd numbers median is mid term i.e. 49.

To find the third quartile we take the upper half of data

Upper half of data set, 65, 75, 81  

Third quartile is the median of the upper half of the data.

Median of upper half is

Q3 = (n+1)th

Q3 =(3+1)th

Q3 = 2th term

Q3 = 75term

Therefore, The third quartile is Q3 = 75term

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Therefore, Nolan did not make any errors throughout the procedure.

Nolan did not make an error in any of the steps.

In step 1, he correctly determined that the square root of 18 falls between the square roots of 16 and 25, which are 4 and 5, respectively. This is because the square root of 18 is approximately 4.24, which is greater than 4 and less than 5.

In step 2, Nolan squared the tenths closer to 4 and correctly calculated the values of 4.1 squared, 4.2 squared, 4.3 squared, and 4.4 squared. These calculations were accurately done.

In step 3, he correctly identified that 18.49 is the closest square to 18, and since it rounds to 18, he concluded that the best approximation for the square root of 18 is 4.3.

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Answer:

1080

Step-by-step explanation:

72x15=1080 milliters of distilled water

The theorem and the missing information that would be used to prove that triangles ABC and ADC is congruent is: B. AB ≅ DC, HL

The HL congruence theorem is a triangle theorem that is used to prove that two right triangles are congruent to each other if the hypotenuse length and the length of one leg of one right triangle is congruent a corresponding hypotenuse and a leg's length of another right triangle.

Given the following:

Right angles, B = D = 90 degrees. [the triangle is right angled]

Side AC ≅ side CA based on the reflexive property of congruency.

The addition information that is needed for both to be proven to be congruent by the HL congruence theorem is, AB ≅ DC.

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Answer: Total balls in jar=9+33=42

Probability getting first red ball=9/42=3/14

Probability getting second red=8/41

Probability getting both red=3/14(8/41)

=12/287

Step-by-step explanation:

Answer:

Step-by-step explanation:

4,15

The point (4, 3) is on the graph of this exponential model.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the given information to form two equations with two unknowns (a and b) and solve for them.

From the first data point (2, 3 km):

y = a b^x

3 = a b^2

From the second data point (3, 9 km):

y = a b^x

9 = a b^3

Dividing the second equation by the first equation:

9/3 = (a b³) / (a b²)

3 = b

Substituting b = 3 into the first equation:

3 = a x 3²

a = 1/9

So the exponential model is y = (1/9) x 3^x.

To find another point on the graph of this exponential model, we can choose a value for x and calculate y.

Let's try x = 4:

y = (1/9) x 3^4

y = 1 x 3/3 x 3/3 x 3/3 x 3/9

y = 3

Therefore,

The point (4, 3) is on the graph of this exponential model.

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The linear equation -4x + 2y = 16 in slope intercept form is y = 2x + 8.

A linear equation is an equation in which the highest power of the variable is always 1.

Linear equation can be represented in various form such as slope intercept form, standard form, point slope form and general form.

Let's represent the linear equation in slope intercept form as follows:

y = mx + b

where

Therefore, -4x + 2y = 16 in slope intercept form is as follows:

-4x + 2y = 16

2y = 4x + 16

Therefore,

y = 2x + 8

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The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

89.3 but im not 100% sure Hope this helps!!

Step-by-step explanation:

Answer:

the height forms a right triangle with the slant height as the hypotenuse and half of the base diagonal as the other leg

(height)^2 = (slant height)^2 - (half of base diagonal)^2

h^2 = 83.3^2 - (10.8 √2)^2

I think so, I hope it helps :)

A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.

In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.

In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.

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Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

Answer: 7:1

Step-by-step explanation:

The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.

Answer:

Your answer is 8u+40

Step-by-step explanation:

Here you go mate

Step 1

8(u + 5)  equation

Step 2

(u + 5)8 simplify

(8)(u)+(8)(5)

Step 3

(8)(u)+(8)(5)  add and subtract it

answer

40+8u

Answer:

the answer is sike not telling you

Step-by-step explanation:

Answer:

Erics watermelon should weigh 1.1428 pounds

Step-by-step explanation:

Answer:

population standard deviation does not differ from 0.25

Step-by-step explanation:

The hypothesis :

σ² = 0.25²

σ² ≠ 0.25²

The Chisquare statistic, χ²: (n-1)*s²/σ²

Where s² = sample variance ; sample size, n = 30

Using calculator, the sample variance, s² = 0.1646

χ² = (n-1)*s²/σ²

χ²: (30 - 1) * 0.1646 / 0.25²

χ² = (29 * 0.1646) / 0.0625

χ² = 0.3292 / 0.0625

χ² = 5.2672

α = 0.05

Using the Pvalue from Chisquare calculator ; df = 29

Pvalue = 1

Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25

Answer:

-125w^6z^24

Step-by-step explanation:

Answer:

-125w^6z^24

Step-by-step explanation:

The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

LK = 7 as this is a 45-45-90 Triangle

Step-by-step explanation:

Hello! To begin answering this question, one must understand that angle the Pythagorean Theorem applies here! Hypotenuse squared = leg squared + leg squared, (7 square root of 2)^2 = 7^2 + X^2, 7^7 + 7^7 = (7 square root of 2)^2, 98 = 98.

Answer:

Step-by-step explanation:

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Answer:

the 9 in the tenths place is 10 times bigger than the one in the hundredths place

Step-by-step explanation:

The value of the 9 in the tenth place is "10 times" the value of the 9 in the hundredth place.

Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.

The decimal we are examining is 3.9928.

The 9 in tenth place has a value of 0.9.

The value of 9 in the hundredth place is 0.09

The fraction of the 9 in the tenth place is now the 9 in the hundredth place.

To get this, simply multiply the value of 9 in the hundredth place by the value of 9 in the tenth place.

Mathematically, that would be;

0.09/0.9 = 0.1 = 1/10

This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place

So you can complete the statement by dragging and dropping "10 times" into the response area.

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Answer:

hi

Step-by-step explanation: