How many triangles can be formed with angles 40°, 35°, 125°?

Answer:

6^15

Step-by-step explanation:

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Answer:

Step-by-step explanation:

1/2 , 2/3 , 5/6

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\) was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

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Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

Answer:

The answer is 22. Sorry if I am wrong

Answer:

18

Step-by-step explanation:

Let's use x and y

x + y = 42

1/3x = 1/6y + 5

Multiply by 3 on both sides

x = 1/2y + 15

SUBSTITUTE X

1/2y + 15 + y = 42

Combine the two ys

1 1/2y + 15 = 42

minus 15 on both sides

1 1/2y = 27

y = 18

Now, find x by substituting y

x + y = 42

x + 18 = 42

x = 24

X is the greater number, y is the smaller number.

The smaller number is 18

The linear equation that gives the graph expression is: d = 2h

The general formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

We are given the equation as: d = rh

where:

d is dollars

r is rate

h is hours,

From the graph, we can find the rate by finding the slope of the graph.

(1, 4) and (2, 8)

Thus:

Slope = (8 - 4)/(2 - 1)

Slope = 2

Thus, r = 2

Then d = 2h

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The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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Answer:

e. The mayor uses a significance level of 0.05 and n = 1,000 voters.

Step-by-step explanation:

Power of a test:

For a high power of a test, two conditions are needed:

Large significance level.

Large sample.

In this question:

A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.

A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.

76+2x=180

180-76=2x

104=2x

X=52

Answer:

x=52

Step-by-step explanation:

360=76+90+90+2x

2x=360-256

x=104/2

x=52

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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By adding another rational number to the rational number, we will get another rational number.

We need to add any number rational number, a rational number is a number that terminates when expressed in decimal form. ie it can be expressed as a fraction.

The ratio of two numbers, p/q, where p and q are the numerator and denominator, respectively, can be used to express a rational number in mathematics.

Examples from the rational number range include 1/3, 2/4, 1/5, 9/3....

So, the other rational number is:

We know that the Sum of 2 rational numbers is -5/16.

Let the other of the numbers is -9/20.

Now, get the other number as follows:

x -9/20 = -5/6

x = -5/6 + 9/20

x = 10(-5) + 3(9)/60

x = -50 + 27/60

x = -23/60

Thus, the other rational number is -23/60.

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Answer:

x=  $6,284.15

Step-by-step explanation:

7300 = x(1 + .025/12)^72

x = \(\frac{7300}{(1 + \frac{.025}{12} )^{72} }\)

x=  $6,284.15  

as 60° is 1/6 of the complete circle. We get that the total circumference is :

so the answer is 240 cm

Answer:

64

Step-by-step explanation:

 30    

 —— +  72 simplify which is then 15/1 which is then 15+7^2 =64

 2    

Answer:

Step-by-step explanation:

Answer:

radius = 212121

Step-by-step explanation:

circumference =

\(2\pi \: r\)

From the question circumference is 4/3

4/3 = 2 × 22/7 x r

4/3 = 44/7 × r

4/3 = 44r/7

LCM of 3 and 7 is 21

21× 4/3 = 44r/7 × 21

7 × 4 = 3 × 44r

28 = 132r

28/132 = 132r/132

0.212121 = r

therefore the radius is 0.212121.

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

a) The inequality equation is x < -11

b) The inequality equation is x < 7

c) The ratio of dogs to cats is 7 : 5

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

a)

Substituting the values in the equation , we get

x + 8 < -3   be equation (1)

On simplifying the equation , we get

Subtracting 8 on both sides of the equation , we get

x < -11

Therefore , the inequality is x < -11

b)

The inequality representing the number line is x < 7

c)

Let the ratio be represented as A

The number of dogs = 7

The number of cats = 5

The ratio of dogs to cats = number of dogs / number of cats

Substituting the values in the equation , we get

The ratio of dogs to cats = 7 / 5

Therefore , the ratio is 7 : 5

Hence , the inequality relation is solved

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The calculated volume of the solid figure is 421.08 cubic feet

From the question, we have the following parameters that can be used in our computation:

Base area = 38.28 square feet

Height = 11 feet

Using the above as a guide, we have the following:

Volume = Base area * Height

substitute the known values in the above equation, so, we have the following representation

Volume = 38.28  * 11

Evaluate

Volume = 421.08

Hence, the volume of the solid figure is 421.08 cubic feet

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The quotient of the division of polynomials using synthetic division is  x³ - 7x + 27.

Quotients are the number that is obtained by dividing one number by another number.

Dividend ÷ Divisor = Quotients

Given the function (x³ - 4x + 6) ÷ (x + 3)

we have to divide the given polynomials using synthetic division;

Write it outside the division

-3              1             -4           6          

                0            -3         21                            

------------------------------------------------------

              1           -7          27      

Therefore, the remainder is 27

Quotient is x³ - 7x + 27

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Answer:

11 buses

Step-by-step explanation:

Step-by-step explanation:

Given that the cost of DVD is $49.36

and the cost of TV is $705.20

the total cost of the two appliances is $754.56

if Cathy wishes to pay for 12 equal months then the monthly pay would be

754.56/12= $62.88

Based on the information given by the question  $73.88 is not her monthly pay, seeing that she is not paying any added amount to the cost of the apliances at a percentage

Error can be calculated as = (approximate-exact)/exact*100

= (73.88-62.88)/62.88*100

=11/62.88*100

=0.1749*100

Error =17.49%