Diana and Joby wrote the following proofs to prove that vertical angles are congruent. Who is correct? Please explain why as well to get Brainly.


O Diana is correct, but Joby is not.
O Both Diana and Joby are correct.
O Neither Diana nor Joby is correct.
O Joby is correct, but Diana is not.

Answer:

1. -12

2. 20

3.-1/2

4. -9

5. 4

Step-by-step explanation:

1. -2(5+1) = -12

2. 3(5+2)-1 = 21-1 = 20

3. -5/10 = -1/2

4. 1-4(5/2) = 1-20/2 = 1-10 = 9

5. 2(5-3) = 4

Answer:

Step-by-step explanation:

step 1: Absolute value inequality entered

     |14c+5| > 7

step 2: Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |14c+5|

For the Negative case we'll use -(14c+5)

For the Positive case we'll use (14c+5)

step 3:  -(14c+5) > 7

    Multiply

     -14c-5 > 7

    Rearrange and Add up

     -14c > 12

    Divide both sides by 14

     -c > (6/7)

    Multiply both sides by (-1)

    Remember to flip the inequality sign

     c < -(6/7)

    Which is the solution for the Negative Case

step 4:

(14c+5) > 7

    Rearrange and Add up

     14c > 2

    Divide both sides by 14

     c > (1/7)

    Which is the solution for the Positive Case

c < -6/7

 c > 1/7

Solution of the equation for G is given as G =  Fr²/Mm

According to the question we have been given the formula for evaluating the value of F which is given as :

                           F = GmM/r²

Now we need to solve the equation for evaluating G. Which is given step by step as :

                        F = GmM/r²

Multiplying both the sides by r² we get

                       Fr² = GmM*r²/r²

                       Fr² = GmM

dividing both the sides by Mm we get

                        Fr²/Mm = GmM/Mm

                        Fr²/Mm = G

                   or, G =  Fr²/Mm

Hence the solution for G is given as   G =  Fr²/Mm

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7(-6)^2+8

-42^2

-1,764+8

-1,772

Brian can play only 9 games

Brian goes to the arcade with $20

The arcade charges $2 per game and $1.50 entrance fee

The equation can be represented as follows

20-1.50= 2x

18.5 = 2x

divide by the coefficient of x which is 2

x= 18.5/2

x= 9.25

Hence Brian will be able to plat only 9 games

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The system of inequalities are 10x + 22y ≥ 110 and x + y ≥ 8 and values of x and y are 5.5 and 2.5 respectively.

In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Total amount by washing cars = 10x

Total amount by tutoring = 22y

Total hours should be no less than 8

So,

x + y ≥ 8

And,

Total amount ≥ 10

10x + 22y ≥ 10

By substitution,

10(8 - y) + 22y ≥ 10

y ≥ 2.5

And x ≥ 5.5

Hence "The system of inequalities is 10x + 22y ≥ 110 and x + y ≥ 8 and values of x and y are 5.5 and 2.5 respectively".

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Answer: 7+21

Step-by-step explanation:

Given that ∠ADB and ∠BDC are complimentary angles, the numerical value of a, ∠ADB and ∠BDC are 5, 25° and 65° respectively.

When two angles have measures adding to up to 90 degrees, they are called complementary .

Given that;

For complimentary angles;

m∠ADB + m∠BDC = 90°

Plug in the given values and solve for a.

( 3a + 10 ) + 13a = 90

3a + 10 + 13a = 90

10 + 16a = 90

16a = 90 - 10

16a = 80

a = 80/16

a = 5

Now, find the measure of ∠ADB and ∠BDC.

m∠ADB = ( 3a + 10 ) = 3(5) + 10 = 15 + 10 = 25°

m∠BDC = 13a = 13( 5 ) = 65°

Given that ∠ADB and ∠BDC are complimentary angles, the numerical value of a, ∠ADB and ∠BDC are 5, 25° and 65° respectively.

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Answer: so the answer will be 90 white chocolates that are in the box

Step-by-step explanation:

so first you have a box of chocolates has 3 milk chocolates for every 2 white chocolate. so first you need to divide 3 divided by 2 which is 1.5

and after you need to multiply 1.5 x 60= 90

If a gardener can care for the greens property in 5 hours and if his helper assists him, they will be done in 4 hours, then the number of hours it takes for the helper to do it alone is equal to 20.

The number of hours it takes for the helper to do it alone can be found as follows;

Time taken by both the gardener and the helper to complete the job=4

Work done by both the gardener and the helper in one hour = 1/4

Similarly,

Time taken by the gardener to complete the job = 5

Work done by the gardener in one hour = 1/5

The number of hours it takes for the helper alone can be calculated by subtraction. Subtracting the fraction done by the gardener in 1 hour from the fraction done by both the gardener and the helper in 1 hour;

1/4 - 1/5

As the common denominator is 20, we multiply 1/4 by 5 and 1/5 by 4.

5/20 - 4/20 = 1/20

The number of hours it takes for the helper to do it alone can be found by finding the reciprocal of 1/20 which is equal to 20/1

20/1 = 20

Hence, the helper takes 20 hours to do it alone.

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Answer:

25 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: I believe A is 52 degrees.

Solution:  Find angle c (D + C adds up to 180 degrees cuz its a line)

So do 180-116=64 degrees

Assuming this is an isosceles triangle because the sides on d and c look equal, we know that those 2 angles add up to 128 degrees(64 + 64).

Therefore, since the shape is a triangle(adds up to 180 degrees) you just do 180 minus 128 to get angle A which is 52 degrees.

The evaluation of the expression given in surd form is 6.

Surds are expressions that use a root symbol, such as a square root, or another root symbol. Since the decimals of irrational numbers do not finish or recur, they cannot be expressed accurately in decimal form, hence surds are used instead.

Surds, in mathematics, are square root values that cannot be factored into a whole number or an integer. Numbers that are surds are irrational numbers.

From the given expression, the cube root of 216 can be computed as:

[tex]\sqrt[3]{216}[/tex]

Factor the number 216 as:

= [tex]\sqrt[3]{6^3}[/tex]

= 6

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The slope intercept equation for a line that passes through the points (-2,4) and (3,-5) is y = -9/5x ₊ 2/5.

Given the points are:

P₁ = (-2,4) = (x₁ , y₁)

P₂ = (3,-5) = (x₂ , y₂)

Therefore, the equation of the line that passes through the above points is:

y = mx ₊ b , Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

= ( -5 - 4 ) / ( 3 - ( -2) ) = -9 / 5

∴ m = - 9/5

Using either P₁ or P₂, plug in one of their respective x- and y-values into:

y = -9/5 x + b

substitute (3,-5)

₋5 = (₋9/5)(3) ₊ b

₋5 = ₋27/5 ₊ b

₋5₊27/5 = b

₋ 25 ₊ 27/5 = b

b = 2/5

slope intercept equation:

y = mx ₊ b

y = -9/5x ₊ 2/5

Therefore, y = -9/5x ₊ 2/5 is the equation of the line that passes through both points (-2, 4) and (3, -5).

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Given :

B is between A and C

AB= x²-6x

BC= x²+20x

AC= 60-12x

B divide into 2 equal parts

AB and AC are equal

AC = AB +BC

60-12x = x²-6x + x²+20x

[tex]60= 2x^{2} -6x +20x +12x[/tex]

[tex]60 = 2x^{2} -6x +32x\\[/tex]

[tex]60= 2x^{2} +26x[/tex]

[tex]30 = x^{2} +13x\\\\[/tex]

[tex]x^{2} +13x -30 = 0\\x^{2} +15x-2x-30 =0[/tex]

[tex]x(x+15) -2 (x+15) =0[/tex]

[tex](x-2) (x+15) =0\\[/tex]

x=2 , x=-15

x never be negative the x is 2

BC =  x²+20x

BC = 2*2 +20*2

BC = 4 +40

BC = 44

length of BC =44

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Step-by-step explanation:

I guess the question really is how much weight of dog food do you have.

1 bag = 51/2 pounds

334 bags = 334 × 1 bag = 334×51/2 = 167×51 =

= 8,517 pounds

The tracts of land in the study is the Control group.

The tracts of land in the study are reforested using the previous best practice whose results are already known. Now, it is not known, how the proposed method of reforestrey to plant a variety of trees at different intervals would grow. So, the tracts of land of previous plant can serve as a standard to which comparisons can made as to whether the newly proposed method is performing better than the previous or not.

This study was conducted at the Agua Salud Project site located in the Panama Canal Watershed (9° 13 N′, 79° 47′ W, 33 m amsl) with an average rainfall of 2700 mm annually, 80% of which falls between May and mid-December. Mean daily maximum and minimum temperatures are 32 °C and 23 °C . The topography is characterized by short and steep slopes. Soils are silt clay to clay with pH values of 4.4 to 5.8 and have very low levels of both plant available and total phosphorus. The data were collected from the Agua Salud native species and T. grandis plantation, both established in 2008 and planted in the same 3 m by 3 m spacing configuration.

Despite this information, changing landowners’ perceptions and transitioning from one species to a lesser known one, is a risk for the landowner and may require financial incentives.

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The area of the shaded region = area of the trapezoid - area of the = 42 - 5.25 = 36.75 m²

Area of ay trapezoid is determined using the formula:

Area = 1/2 × (a + b) × h, where a and b are the lengths of the bases of the trapezoid that are parallel, and h is the height or distance between the bases of the trapezoid.

What is the Area of a Triangle?

To find the area of a triangle, use:

Area = 1/2 × base × height of the triangle.

The area of the shaded region = area of the trapezoid - area of the triangle

Area of the trapezoid:

a = 5 m

b = 9 m

h = 6m

Substitute

Area of the trapezoid = 1/2 × (5 + 9) × 6

Area of the trapezoid = 1/2 × (14) × 6

Area of the trapezoid = 7 × 6

Area of the trapezoid = 42 m²

Area of the triangle:

Base = 7 m

Height = 6 - 4 1/2 = 1.5 m

Substitute

Area of triangle = 1/2 × 7 × 1.5

Area of triangle = 5.25 m².

The area of the shaded region = area of the trapezoid - area of the = 42 - 5.25 = 36.75 m²

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The triangle with side lengths of 57 yards, 74 yards, and 95 yards is not a right triangle because it does not obey Pythagoras theorem.

An equation is an expression that shows the relationship between two or more numbers and variables.

Pythagoras theorem shows the relationship between sides of a right triangle. It states that for a right angled triangle:

Hypotenuse² = Leg1² + Leg2²

To prove that a triangle with side lengths of 57 yards, 74 yards, and 95 yards is a right triangle:

95² = 74² + 57²

9025 = 5476 + 3249

9025 ≠ 8725

The triangle with side lengths of 57 yards, 74 yards, and 95 yards is not a right triangle because it does not obey Pythagoras theorem.

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Answer:

The correct answer is B

Step-by-step explanation:

It is A because all angles must be congruent to there opposing sides.

Hope that helps! Have an amazing rest of your day! :)

If Tim bought some cans of paint and 3/4 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 3/8 of a liter of additive in each can. The number of cans of paint that Tim buy is: 6 cans.

Let x represent the number of can

Quantity of addictive mixed in each liter=3/8

Total addictive mixed=3/4

Hence,

x(3/8)=3/4

Cross multiply

x=8(3/4)

x=6 cans of paint

Therefore If Tim bought some cans of paint and 3/4 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 3/8 of a liter of additive in each can. The number of cans of paint that Tim buy is: 6 cans.

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The linear equation of the table is y = 5x + 2.

when x = 20, y = 102

when y = 42, x = 8

Linear equation can be represented in slope intercept form as follows;

y = mx + b

where

Therefore,

m = 17 - 12 / 3 - 2

m = 5 / 1

m = 5

Therefore, let's find the y-intercept using (2, 12)

y = 5x + b

12 = 5(2) + b

12 = 10 + b

b = 12 - 10

b = 2

Therefore, the linear equation is y = 5x + 2.

when x = 20

y = 5(20) + 2 = 100 + 2

y = 102

when y = 42

42 = 5x + 2

42 - 2 = 5x

5x = 40

x = 40 / 5

x = 8

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A school is studying Math for Data and Financial Literacy standardized test scores. A bar chart could be used to represent the data because test scores are numerical

This is further explained below.

Generally, A bar chart or bar graph is a kind of chart or graph that displays categorical data using bars of varying lengths and heights that are proportionate to the values that they represent. It is possible to lay out the bars either vertically or horizontally.

Column charts are occasionally used interchangeably with vertical bar charts.

In conclusion,Standardized exam results in Math for Data and Financial Literacy are now being analyzed at a school.

Due to the numerical nature of the test results, a bar chart could be an appropriate representation of the data.

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The unit rate of downloading per movie for each person is for Timmy it will take 2.5 minutes and for Jonathan it will take 1.66 minutes.

In question it is not given that what to do, so we will find the rate of downloading per movie for each person.

With the help of following steps as given below :

Timmy takes 15 minutes to download 6 movie.

6 Movies = 15 Minutes

1 Movie   = 15/6

1 Movie   = 2.5 Minutes

Jonathan takes 20 minutes to download 12 movies.

12 Movies = 20 Minutes

  1 Movie   = 20/12

  1 Movie   = 1.66 Minutes

Therefore, Timmy and Jonathan will take 2.5 and 1.66 minutes, respectively, to download one movie.

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Answer:

There are 18 bananas

Step-by-step explanation:

6 x 3 = 18

18 bananas.

Answer: 33. r=13.6   34. m=12

Step-by-step explanation:

33.

-0.8+r=12.8

-0.8+r+0.8=12.8+0.8

r=13.6

34.

[tex]\displaystyle\\-\frac{m}{3}=-4\\\\\frac{m}{-3}=-4[/tex]

Multiply both parts of the equation by -3:

[tex]\displaystyle\\\frac{m}{-3}(-3)=(-4)(-3)\\\\ \frac{m(-3)}{-3} =12\\\\m=12[/tex]

The measure of the angle 1, 2, and 3 will be 54°, 45°, and 81°, respectively.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The initial angle of a triangle is measured by multiplying a value by six. The second angle's measurement is nine less than the first angle's. The third angle's measure is three times greater than the first angle's measurement. Let x be the number. Then the measure of the angle 1, 2, and 3 will be

∠1 = 6x

∠2 = 6x - 9

∠3 = 3x + 6x

The sum of all angles will be 180°, then the equation will be

∠1 + ∠2 + ∠3 = 180°

6x + 6x - 9 + 3x + 6x = 180°

21x = 189°

x = 9°

Then the measure of the angles will be

∠1 = 6x = 6 × 9 = 54°

∠2 = 6x - 9 = 6 × 9 - 9 = 45°

∠3 = 3x + 6x = 9x = 9 × 9 = 81°

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The prime decomposition is [tex]5^{2}[/tex]×61.

Prime factor decomposition of a number means writing it as a product of prime factors. To factorize a number, divide it by the first possible prime number. Take a resulting quotient below the number.

Therefore the prime decomposition is

       [tex]5^{2}[/tex] × 61

Here 5 and 61 is a prime number .

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