Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Angela's age in years. Today Angela is ___years old.

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

5t+9

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

This is a function because each input has an output

For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.

What is triangle?

A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.

Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:

Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.

∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.

∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.

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Answer:

250 and 250.1

Answer:

250.1

Step-by-step explanation:

5002 divided by 20 equals 250.1

Area of the triangle, XYZ = 1/2(XZ)(AY)

Therefore,

Similarly,

Therefore, the area is,

So, area of triangle XYZ is 10

Answer:

1) 6 kids have hamsters

13 kids have dogs

2) Tia scored more in English

She scored around 15 points more

Her range is around 15

Step-by-step explanation:

Answer:

for the first three questions:

1. fill out two boxes in the cat section

2. 6 students

3. 13 students

for the last questions:

1. just fill the lines up to the numbers in the question

2. english

3. about 18%? (not sure)

Step-by-step explanation:

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

Answer:

option 4.    17

Step-by-step explanation:

sum of angles = exterior angle x n

360° = 21.2° n

n = 360 / 21.2

n = 17

Number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

" Polygon is defined as the two dimensional geometric shape which has n number of finite sides."

Formula used

360° = (Exterior angle of polygon ) × ( number of sides of polygon)

According to the question,

Given,

Exterior angle of a regular polygon =  21.2º

'n' represents the number of sides

Substitute the value in the formula to get number of sides,

\(360\°= (21.2\°) (n)\)

⇒ \(n = \frac{360\°}{21.2\°}\)

⇒ \(n= 16.98\)

⇒ n≈ 17 sides

Hence, number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.

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Answer:

8,139 cubic centimeters

Step-by-step explanation:

Answer:

1) -4/3     2) ( 0 , 4)

Step-by-step explanation:

1)

taking two coordinates the line is touching ( 0 , 4) , ( 3 ,0)

slope of the line: \(\frac{y2-y1}{x2-x1}\)

                          : \(\frac{0-4}{3-0}\)

                          : \(\frac{-4}{3}\)

-4/3 is the slope of the line.

2)

Here the y intercept of is at 4 so the coordinates will be ( 0 , 4)

Extra's:

equation of line : mx + b ...where m is slope and b is y intercept

Here equation of line : y = -4x/3 + 4

Take 2 points

Slope:-

\(\\ \sf\hookrightarrow m=\dfrac{0-4}{3-0}=\dfrac{-4}{3}\)

Now

for y intercept

\(\\ \sf\hookrightarrow y=4\)

Answer: 6:1

Step-by-step explanation:

The solution for the given expression is 14∛x. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5∛x + 9∛x

The given expression can be simplified as follows,

5∛x + 9∛x

Here, both the terms have equivalent variables. So, both are like terms.

As per the rules like terms can be added or subtracted keeping the variable as the same.

Thus, 5∛x + 9∛x = 14∛x

Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.

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Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer: 1260 miles

Step-by-step explanation: multiply so 15x12x7= 1260 so thats your answer.

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

The angles for the given parallel lines are estimated.

m(∠DGF ) = 92; m(∠HGF ) = 88; m(∠AGD ) = 88; m(∠BDG ) = 92; m(∠BDC ) = 88; m(∠CDE ) = 92 ; m(∠EDG ) = 88.

A line that cuts over two parallel lines is referred to as a transversal line.

Each pair of internal angles located on the exact side of a transversal that meets two parallel lines is supplementary, or they add up to 180°.

The opposing angles created by the junction of two lines are known as vertical angles but rather vertically opposite angles.

m(∠AGH ) = m(∠BDG ) (corresponding angles)

3x +  2 = 2x + 32

x = 30

m(∠AGH ) = 3(30) +  2 = 92

m(∠BDG ) = 2(30) + 32 = 92

m(∠DGF ) = m(∠AGH ) = 92 (vertically opposite angles)

m(∠HGF ) = 180 - m(∠AGH ) = 180 - 92 = 88 (linear pair).

m(∠AGD ) = m(∠HGF ) = 88 (vertically opposite angles)

m(∠BDG ) = 92 (calculated earlier)

m(∠BDC ) = m(∠AGD ) =  88 (corresponding angles)

m(∠CDE ) = m(∠BDG ) = 92  (vertically opposite angles)

m(∠EDG ) = m(∠BDC ) =  88  (vertically opposite angles).

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Answer:

No, -1/3 is not a solution

Step-by-step explanation:

See if it is a solution by plugging in -1/3 as v and seeing if the equation is correct:

9v - 2 = 3v

9(-1/3) - 2 = 3(-1/3)

-3 - 2 = -1

-5 = -1

-5 \(\neq\) -1

So, since the equation is incorrect, -1/3 is not a solution.

Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Answer:

H0: μ = 150; Ha: μ > 150.

Step-by-step explanation:

Null hypothesis:

Expected outcome, population mean.

The national average for the verbal reasoning GRE score for engineering students was 150...

This means that \(H_0 = 150\)

Alternate hypothesis:

What we want to claim...

She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE...

Want to claim that it is higher than the national average of 150, so \(H_A > 150\)

So the correct answer is:

H0: μ = 150; Ha: μ > 150.

Answer:

6, because anything inside | | are positive so -3 will now be 3.

3 minus -3 = 6

Step-by-step explanation:

Hope it helps! =D

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

219/50 or 4.38

Step-by-step explanation:

divide

Answer:

A:1

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we open the parentheses:

2*3x-2*7+18=10

Now we multiply:

6x-14+18=10

6x+4=10

Now we move +4 to the other side so it will be -4

6x=10-4

6x=6

We divide both sides by 6

x=1

Taking into account the definition of a system of linear equations, the number of pennies and nickles that Arianys has is 15 and 6 respectively.

The degrees of systems of linear equations are groupings of linear equations with the same unknowns, of which it is necessary to find a common solution.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

x + y = 21

0.01x + 0.05y = 0.45

There are several methods to solve a system of equations, it is decided to solve it using the graphical method, which consists of representing the graphs associated with the equations of the system to deduce its solution. The solution of the system is the point of intersection between the graphs, since the coordinates of said point satisfy both equations.

In this case, graphing the system of equations (image attached) it is obtained that the system of intersection between both equations is (x,y)=(15,6). This means that the number of pennies that Arianys has is 15 and the number of nickels that Arianys has is 6.

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