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These triangles are congruent by _____.

A. AAS
B. SAS
C. HL
D. Not enough information

Answer:

x = 65

Step-by-step explanation:

2x - 14 + 64 = 180

2x + 50 = 180

2x = 130

x = 65

Answer:

x=65

Step-by-step explanation:

64+2x-14 = 180

See attachment for math work and answer.

Answer:

27 years.

Step-by-step explanation:

2000->100%

?->3.5%

=70 people growth each year

3900-2000=1900[expected growth]

70-per year

1900-?

1900*1/70=27.1

=27.|1

27 years

It will take 9 years for the town's population to reach 3900.

"An exponential function is a function of form f (x) = a^(x), where a is the base."

f(x) = a×(1+r)^x

where,

f(x) = exponential growth function

a = initial amount

r = growth rate

x = number of time intervals

For given situation,

initial population: a = 2000,

growth rate r = 3.5/100

⇒ r = 0.035

f(x) = 3900

We need to find the nearest year to reach the population 3900.

i.e., to find value of x(years)

Using the exponential growth function,

⇒ 3900 = 2000(1 + 0.035)^x

⇒ 3900/2000 = (1.035)^x

⇒ 1.95 = (1,035)^x

⇒ [tex]x=log_{1.035} 1.95[/tex]

⇒ x = 19.41

⇒ x ≈ 19

Therefore, it will take 19 years to reach 3900.

Learn more about exponential growth here:

https://brainly.com/question/11487261

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

b or a

Step-by-step explanation:

Answer: wow

               I'd want nothing more than to swim in a pool of saliva.

Answer:

100

Step-by-step explanation:

100 x 0.82 =0.0082

Answer:

1102.5 pounds of apples will be sold in a week.

Step-by-step explanation:

Amount of apples in each bag = 3.5 pounds

If BJs sells 45 bags each day, amount of apples sold = 3.5 × 45

                                                                                        = 157.5 pounds

Number of days in a week = 7

Amount of apples sold in one week = Apples sold in a day × Number of days in a week

Amount of apples sold in 7 days = 157.5 × 7

                                                      = 1102.5 pounds

Therefore, amount of apples sold in a week = 1102.5 pounds

Answer:

1102.5 pounds

Step-by-step explanation:

Note:

0.13 x 16500 = 2145

16500 - 2145 = 14355 for the first year.

Continue this for 7 more years to get your answer.

Answer:

12

Step-by-step explanation:

You need to use the pythagorean theorem. a^2 +b^2=c^2. Label the sides with a, b, and c. The longest side is c, but it does not matter for the other two sides.

Answer:

y = 12

Step-by-step explanation:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] - [tex]b^{2}[/tex]

[tex]c^{2}[/tex] = [tex]35^{2}[/tex] - [tex]37^{2}[/tex]

[tex]35^{2}[/tex] = 1,225

[tex]37^{2}[/tex] = 1,369

1,369 - 1,225 = 144

[tex]\sqrt{144}[/tex] = [tex]c^{2}[/tex]

[tex]\sqrt{144}[/tex] = 12

Answer:

10x-20

Step-by-step explanation:

Answer:

distribute the 5

5×2x then 5×-4

10X-20 that's the answer

• 3 + k , 18 - k and 5k + 1 are in AP .

• The value of K .

• As we know that, In AP common difference is same :

• b - a = c - b

=> 2b = a + c

Here ,

• a = 3 + k

• b = 18 - k

• c = 5k + 1

=> 2 ( 18 - k ) = 3 + k + 5k + 1.

=> 36 - 2k = 4 + 6k

=> 36 - 4 = 6k + 2k

=> 32 = 8k

=> k = 32/8

=> k = 4

Hence , the value of k is 4.

Answer:

k=4

Step-by-step explanation:

Since the given terms are in A.P., the common difference will be the same

So, 18-k-3-k = 5k+1-18+k

15-2k = 6k-17

6k+2k = 17+15

8k = 32

k = 4

Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

Answer:

-1/2

Step-by-step explanation:

to find perpendicular slope, flip the number and the sign

Answer:

I got you buddy! it's (32+2)(32+10)

Step-by-step explanation:

[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

Find one factor of the form  [tex]kx^m+n[/tex], where [tex]kx^m[/tex] divides the monomial with the highest power [tex]9x^4[/tex] and [tex]n[/tex] divides the constant factor [tex]20[/tex].

Factor the polynomial by dividing it by this factor:

The following polynomials are not factored since they do not have any rational roots:

______________________________

 [tex]\bold{Answer:}[/tex]

The factored form of [tex]9x^4+36x^2+20[/tex] is:

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~~-TotallyNotTrillex}[/tex]

Answer:

He makes more than $11 per hour plus $35 in tips

Step-by-step explanation:

First, you should always look at the sign and identify whether it's greater than, less than, greater than or equal to, or less than or equal to. In this inequality, the sign being shown is greater than: represented by m>11h+3

Here are inequality key words to help better understand the signs:

> : Greater Than, More Than

≥ : More Than or Equal To, At Least, No Less Than, A Minimum of

< : Less Than, Fewer Than

≤ : Less Than or Equal To, At Most, No More Than, A Maximum of

Answer:

Domain:

[tex] - 2 \leqslant x \leqslant 2[/tex]

Range:

[tex] - 2 \leqslant y \leqslant 3[/tex]

Step-by-step Explanation:

The domain is all the values of x that make the function true. These are the values shown on the x-axis. The range is all the values of y that make the function true. These are the values shown on the y-axis.

2 - 300 calories

3 - 1260 calories

6 - 20g

7 - 70mg

Answer:

8 1/3

Step-by-step explanation:

153.83/142=1.0833333, meaning she made an additional 8.33333 percent more profit.

Answer:

Explained below.

Step-by-step explanation:

Convenience sampling is a kind of non-probability-sampling (i.e. all items doesn’t have an equivalent chance of being selected), which doesn’t comprises of random collection of items. Convenience sampling is where we take in items which are easy to reach.  This sort of sampling technique results in a biased sample.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval. If the individual k is selected as the first sample then the sample space consists of every kth individual.

In this case the first sample is an example of convenience sample and the second is a systematic sample.

Answer: A

Sample 1 is biased.

Step-by-step explanation:

Answer:

0.81

Step-by-step explanation:

Answer: 15:26

Step-by-step explanation:

Given: Car a travels 15 miles while car b travels 26 miles.

Now, the ratio of the distance traveled by car a to car b is given by :-

[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.

So, the the ratio of the distance traveled by car a to car b = 15:26

Hence, the ratio of car a to car b = 15:26

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

Answer:

see below

Step-by-step explanation:

This would be true if the lines are parallel.  We have no information about the lines, so we cannot assume the lines are parallel, so we cannot use the corresponding angles theorem

Answer:

the lines arent parallel

Step-by-step explanation:

the corresponding angles theorem states if the transversal line goes through two parallel lines then the corresponding angles are congruent

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

[tex]x+y+z=24[/tex]

They made 2 more touchdowns than field goals.

[tex]x=y+2[/tex]

They made 3 times as many "extra points" as field goals.

[tex]z=3y[/tex]

Therefore, the required system of equation is

[tex]x+y+z=24[/tex]

[tex]x=y+2[/tex]

[tex]z=3y[/tex]

Answer:

sdf

Step-by-step explanation:

sdff

For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:

132 + 4 + x = 180

Add 132 and 4.

136 + x = 180

Subtract 136.

x = 44

You are right!

For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:

68 + x + 9 = 90

Combine 68 and 9.

77 + x = 90

Subtract 77.

x = 13

Hope this helps

Answer:

Use math-way for the rest

Step-by-step explanation:

Hope this helps!

Answer:

B

Step-by-step explanation:

Both 0.684 and 0.1222 are rational

Answer:

B.

Step-by-step explanation:

Because 0.12222222.... and 0.684 are rational numbers.

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

Continuous graphs have all real numbers

Discrete graphs have whole numbers

Step-by-step explanation:

Domain: All real numbers. Inequality Notation: -infinity<x<infinity, Interval notation: (-infinity,infinity).

_______

Range: All real numbers greater than or equal to 3. Inequality notation: x ≥ 3, Interval Notation: [3,infinity).