Two triangles are congruent if one angle of one triangle is equal in measure to the corresponding angle of the other triangle.
True or False

Answer:

Solution given:

For bank A.

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since simple interest is given by this bank

we have

Simple interest=PTR/100

=5000×6.85×3/100=$1027.5

For bank B

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since compound interest is given by this bank

we have

compound interest=P((1+R/100)^T-1)

=$5000((1+6.85/100)³-1)=$1099.49

since

Bank B gives more interest .more amount is

1099.49-1027.5=$71.99 or $72

Answer: 50%

Step-by-step explanation:

Answer:

x3y+7x2y2+10xy3

Step-by-step explanation:

Answer:

14 mins

Safest answer and may be correct

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Answer:

The average weight of the chipmunks is 91 grams

Step-by-step explanation:

The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.

Based on the data that the Biologists found out, the prediction that best matches the data is The average weight of the chipmunks is 91 grams.

The data shows the weights of the five chipmunks that were recorded and the mean of these weights was 91 grams.

The mean of a dataset is the same as its average which means that the average weight found from the chipmunks was 91 grams.

In conclusion, option D is correct.

Options for this question are:

About one-half of the chipmunks weigh more than 91 grams

The average weight of the chipmunks is 87 grams.

About one-half of the chipmunks weigh more than 87 grams

The average weight of the chipmunks is 91 grams

Find out more on averages at https://brainly.com/question/14532771.

Answer:

The answer is 1.42!!!!!!

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

[tex]London = (4,6)[/tex]

[tex]Warsaw = (20,10)[/tex]

This points will be represented as:

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (20,10)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{10 - 6}{20 - 4}[/tex]

[tex]m = \frac{4}{16}[/tex]

Simplify

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = \frac{1}{4}(x - 4) + 6[/tex]

Open bracket

[tex]y = \frac{1}{4}x - 1 + 6[/tex]

[tex]y = \frac{1}{4}x +5[/tex]

Apply the above steps in the original question

Answer:

12/25

Step-by-step explanation:

The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.

Answer:

-5 1/4-(-7 1/2 is simplified to 9/4

Step-by-step explanation:

-5 1/4 is simplified to -21/4  -(-7 1/2

-7 1/2 is simplified to -15/2 and two negatives make a positive.

so the equation now becomes

-21/4+15/2

15/2 times 2 is 30/4

-21/4+30/4 is 9/4

The answer is 9/4

Answer:

30 degrees

Step-by-step explanation:

see the opposite side. it is the same thing but upside-down.

(remember straight line is 180 degrees)

Answer:

lol wheres the question

Step-by-step explanation:

Answer:

x ≥ 3

Step-by-step explanation:

The domain is the set of x values in a function

The ordered pair ( 3 , 1 ) represents the point where the function starts

( note that the point is "closed" which means that ( 3 , 1 )  represents a solution to the function ) ( which also means that we will be using ≤ or ≥ )

The x value of that ordered pair is 3 which means that the domain must include 3.

The line then goes to the right of the x value 3, infinitely which means that the domain is anything greater than or equal to 3

or x ≥ 3

Answer:

Yes it is possible

Step-by-step explanation:

Given

[tex]n = 20[/tex]

[tex]x= 7[/tex] --- correct

[tex]y = -4[/tex] --- wrong

[tex]z = 0[/tex] --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

[tex]x \to 3[/tex] -- Got 3 correctly

[tex]y \to 8[/tex] --- Failed 8

[tex]z \to 9[/tex] ---- Didn't answer 9

The above will give a score of -11.

We have:

[tex]3x+8y+9z[/tex]

[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]

[tex]3x+8y+9z = 21-32 + 0[/tex]

[tex]3x+8y+9z = -11[/tex]

Hence, a score of -11 is possible

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Answer:

Solution given:

[tex]25x = 100[/tex]

[tex]x = \frac{100}{25}[/tex]

[tex]x = 4[/tex]

x=4 is a required answer.

Let's check

x is 4

Answer:

80%

Step-by-step explanation:

20% of the candies are chocolate, leaving the rest of the 80%

Answer:

1246cm

Step-by-step explanation:

26*10=260

29*34=986

986+260=1246

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Answer:

0.5

Step-by-step explanation:

Answer:

[tex] \frac{1}{2}x + 5[/tex]

Answer:

A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333

C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if  prefers additional incentive over fix salary.

Step-by-step explanation:

Let the sales be = x

A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x

Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x

B] Value of sales, resulting in total salary : at equation 1 = equation 2

1500 + 0.025x = 1250 + 0.055x

1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x

x = 250 / 0.03 →  x (Sales value) = 8333

C] Which job she should take, would depend on her preferences.

If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%

Answer:

[tex]1) B[/tex]

[tex]2)\ B[/tex]

[tex]3)\ B[/tex]

[tex]4)\ C[/tex]

Step-by-step explanation:

1)

Let's use the Pythagorean Theorem:

[tex]X^2 + 13^2 = 21^2[/tex]

[tex]X^2 + 169 = 441[/tex]

[tex]X^2 = 272[/tex]

[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]

2)

Let's use the Pythagorean Theorem:

[tex]16^2 + 28^2 = x^2[/tex]

[tex]x^2 = 1040[/tex]

[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]

3)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

4)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

Answer:

Tree height is 15.6 ft

Step-by-step explanation:

Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left.  Then the following is true:

                                      x

tan 32 = 0.625 = ---------------------       or   x = (0.625)(25 ft) = 15.6 ft

                                    25 ft        

Answer:

Run = 4 miles

Biked = 22 miles

Step-by-step explanation:

Given :

Let :

Number of miles ran = x

Number of miles biked = 5.5x

Total run and bike distance = 26 miles

Thus ;

x + 5.5x = 26

6.5x = 26

x = 26/6.5

x = 4

Total miles run ; x = 4 miles

Total miles biked, 5.5x = 5.5*4 = 22 miles

Answer:

hi

Step-by-step explanation:

Answer:

sure why not .

Hi!:D

Step-by-step explanation:

can I have brainiest

Answer:

48 is the area

Step-by-step explanation:

A=4squared=16x3=48

Pi is 3.14 but in the question it states just a 3.

Answer:

look at what the angle represent in the arrows

Step-by-step explanation:

Answers are 3/4 and 4/6

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

5(x + 2) - 2 = 3(x - 2)

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1