Can two triangles with the same angle measures not be congruent?

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Actually Welcome to the Concept of the linear equation in two variables.

So we have to form two equations to solve this.

Let the number of children be 'x' and number of adults be 'y'.

hence, we get as,

x+y = 630 ..... (1)

and also, to their total cost spending, we get as,

1.5x + 2.25y = 1170 ...... (2)

solving (1) and (2) we get as,

Number of children were = 330

and Number of Adults were = 300

(Solved in the attachment)

Answer: x=500

Step-by-step explanation:

Twenty more (+20) of a fifth of a number (.2x) is equal to 120. So, the equation would be .2x+20=120. To isolate x, subtract 20 from each side. So now we have .2x=100. To get rid of the .2 or 1/5, we have to multiply everything by the reciprocal of 1/5, or 5. So, 100(5)=.2x(5), or simplified, x=500. Hope this helps!

Answer:7 is the exponent

Step-by-step explanation:

Answer:

[tex]6^7[/tex]

Step-by-step explanation:

Exponents can be expressed through repeated multiplication, meaning that the amount of times one number is being repeated, would be the same amount as put in an exponent. Therefore :

6 * 6 * 6 * 6 * 6 * 6 * 6

6 is being repeated, therefore it's the constant.

6 is repeated 7 times, therefore the exponent is 7.

[tex]6^7[/tex]

Answer:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Answer:

You split it into two parts then add them

Step-by-step explanation:

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

I'm assuming you are referring to the Pythagorean Theorem, which has the equation [tex]a^{2} +b^{2} =c^{2} \\[/tex]

b=12 c=18

[tex]a^{2} +12^{2} =18^{2}[/tex]

[tex]a^{2}+144=324[/tex]

[tex]a^{2} =180[/tex]

a=[tex]\sqrt{180}[/tex]

a=[tex]6\sqrt{5}[/tex]

Answer:

numerator is 1

denominator is 25

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Answer: The number is 1

Step-by-step explanation:

5x + 7 = 9x + 3

5x + 7 - 5x = 9x - 5x + 3

7 = 4x + 3

7 - 3 = 4x + 3 - 3

4 = 4x

x = 1

Check work:

5(1) + 7 = 12

9(1) + 3 = 12

It works

Step-by-step explanation:

it maybe

8m= 36+20

m=56/8

=7 answer

Answer:

[tex]q = 16\sqrt{2}, r = 16[/tex]

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

360 miles

Step-by-step explanation:

The unit rate here is (240 miles) / (2 hours), or 120 mph.

In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles

Answer:

360

Step-by-step explanation:

240/2 =120 So, you want to add 120 to 240 to get 360.

Answer:

3,375 chairs

Step-by-step explanation:

The weight of 25 folding chairs is 15 kg

Number of folding chairs : weight

= 25 : 15

How many chairs can be loaded on a truck having a capacity of

carrying 2025 kg load?

Let number of folding chairs = x

Number of folding chairs : weight = x : 2025

Equate both ratios

25 : 15 = x : 2025

25/15 = x/2025

Cross product

25 * 2025 = 15 * x

50,625 = 15x

x = 50,625/15

x = 3,375

Number of folding chairs = 3,375 chairs

Answer:

AC ≈ 11.3 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )

29 × sin23° = AC , then

AC ≈ 11.3 cm ( to 3 significant figures )

Answer:

1.2

Step-by-step explanation:

I am just writing this sentence to get the required amount of characters.

Answer:

2

Step-by-step explanation:

the points for g is -4,0 and x is 4,2 so... yea 2

Answer:

Step-by-step explanation:

I don't know what the first graph is for. It obviously isn't the graph of g(x).

In the second graph, f(x) and g(x) intersect when x=4

Answer:

The population is incresing by 97% per year

and

The population size was initially around 312

Answer:

It's the 1st, and the 2nd one.

Step-by-step explanation:

Have a good day!

Answer:

6

Step-by-step explanation:

let’s start with putting the unknown to x, in this case it is the number.

5x-5=7+3x, so now we just solve this equation.

5x-3x=7+5

2x=12

x=6

Answer:

42

Step-by-step explanation:

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

Find the prime factorization of 420

420 = 2 × 2 × 3 × 5 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 7

GCF = 42

The highest common factor HCF of 126 and 420 is 42

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF of the two numbers be represented as n

The value of n is

Let the first number be p = 126

Let the second number be q = 420

The factors of 126 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20 , 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420

So , the highest common factor of the two numbers 126 and 420 is 42

Therefore , the value of n = 42

Hence , the HCF is 42

To learn more about LCM and HCF click :

https://brainly.com/question/20049151?

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Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

Answer:

C

Step-by-step explanation:

From the given table, we can calculate the earnings of Melissa.

4 hours' work makes 36 dollars

1 hour work makes=36×1/4=9 dollars

Melissa makes 9 dollars per hour.

Holli makes 8.25 dollars per hour.

So, Melissa makes more money.

9-8.25=0.75

Melissa earns 0.75 dollars more than Holli.

So, the answer is C.

Answer:

1500

Step-by-step explanation:

48-50

29-30

50 times 30 = 1500

Answer:

January has the greater MAD.

Step-by-step explanation:

The MAD of January is 8. You can figure this out by finding the mean of the data (adding them all together then dividing by the number of data points), then finding the distance between each data point and the mean. You then will add all the distances together, then divide by the number of data points. The MAD of July is 2.5. See above for the process.

Answer:

Constant of proportionality = 2.25

What this value means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Step-by-step explanation:

We are told that the daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat.

Let D be represent the daily fee and let the lent be L.

D ∝ L

Let the constant of proportionality be k.

Thus;

D = kL

k = D/L

For length of 15 ft;

k = 33.75/15

k = 2.25

For length of 17 ft

k = 38.25/17

k = 2.25

For length of 20 ft

k = 45/20

k = 2.25

Foe length of 21 ft

k = 47.25/21

k = 2.25

This means the formula for the relationship between the daily fee and boat length is; D = 2.25L

Thus, D/L = 2.25

What this means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25