*Prove the two triangles congruent, by marking all the corresponding parts, and write the congruence statement and name the theorem you would use. If not able to prove, write not possible and tell what other information you would need.

Answer:

12.5%

Step-by-step explanation:

5/40 = .125

.125×100 = 12.5%

The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

Hence "The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%".

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Answer:

the answer is 7

Step-by-step explanation:

12-5=7 and seven equals u

Answer:

7

Step-by-step explanation:

5 + u = 12

To make this equation simpler, why don't we isolate the variable u?

5 + u = 12

-5  -5

u = 12 - 5

u = 7

Hope you find good memes!

Answer:

9x5=45x5=225+5=230

Step-by-step explanation:

The time taken to reach the goal of $3000 will be 36 months.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.

The equation for the total cost will be formed as,

TC = 75m + 300

3000  = 75m + 300

3000 - 300 = 75m

2700 = 75m

m = 2700 / 75

m = 36 months

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The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

Let x represent the number of model A bikes produced and y represent the number of model B bikes produced.

Since A local bicycle shop makes $75 on each  Model A bike and $90 on each Model B bike, hence:

Revenue = 75x + 90y

The overhead cost is $1350, hence to make profit:

Revenue ≥ cost

75x + 90y ≥ $1350

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

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Answer:

A and C are both solutions to the equation.

Answer:

x=1/8

Step-by-step explanation:

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Answer:

1/9 x 21/8 = 7/24

Step-by-step explanation:

Answer:

A because when you subtract x will be less than the unknown number

Answer:

y = 3x/2 + 24

Step-by-step explanation:

y = ax + b

⇒ 6 = -12a + b

9 = -10a + b

⇒ 2a = 3, a = 3/2

⇒ b = 24

⇒ y = 3x/2 + 24

Answer:

D = 3.5t

Step-by-step explanation:

Distance = Speed · Time

Plug in the numbers and you get D = 3.5t

Hope this helps!

Answer:

624 miles

Step-by-step explanation:

there are 12 months in a year.

meaning, 24 months in two years.

if she is able to walk 26 miles a month, for 24 months

(multiply 26x24)

she will walk 624 miles.

Answer:

all 5

Step-by-step explanation:

6a+3a+8b+a-5b = 10a+3b

3b+6a+3b+6a = 9b+6a

3b+9a+3b+9a = 6b+18a

3b+10a+3b+10a = 6b+20a

13b+9a = 13b+9a

Answer: See the graph below.

Answer:

16.7% (to 3sf)

Step-by-step explanation:

Percentage decrease

= [tex]\frac{42-35}{42}[/tex] × 100%

= [tex]\frac{7}{42}[/tex] × 100%

= [tex]\frac{1}{6}[/tex] × 100%

= 16.7% (to 3sf)

Answer: 42 cm

Step-by-step explanation:

First since the second side length is unknow we need to find it.

We will use the Pythagorean theorem which is [tex]a^{2} + b^{2} = c^{2}[/tex]

Since we will be solving for b we will rearrange the equation to be

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

now to slove input the data we know

[tex]b^{2}[/tex] = 144 - 225

[tex]b^{2}[/tex] = 81

[tex]\sqrt{b^{2} } = \sqrt{81}[/tex]

[tex]b[/tex] = 9

With the two sides we simply add up all the sides for the perimeter

9+12+9+12 = 42

Answer:

90

Step-by-step explanation:

20% of 75 is 7.5 times 2 which equals 15 so 15 plus 75 is 90.

Answer:

She scored 90 on her second math test.

Step-by-step explanation:

A 20% increase is 120% of the original number. 120% is also just a multiplier of 1.2. Multiply the first score by 1.2 to get the second score:

[tex]75\times1.2=90[/tex]

She scored 90 on her second math test.

Answer:

When f(x)= 3x – 1 and g(x) = 7x + 6,

f(g(x)) = 21x + 17

and

g(f(x)) = 21x - 1

Step-by-step explanation:

Given:

f(x) = 3x - 1

g(x) = 7x + 6

To find f(g(x)), substitute the value of g(x) into f(x).

f(g(x)) = f(7x + 6)

Substitute variable.

f(7x + 6) = 3(7x + 6) - 1

Distribute the 3 inside the parenthesis.

f(7x + 6) = 21x + 18 - 1

Subtract 1 from 18.

f(7x + 6) = 21x + 17

Therefore, f(g(x)) is 21x + 17.

To find g(f(x)), substitute the value of f(x) into g(x).

g(f(x)) = g(3x - 1)

Substitute variable.

g(3x - 1) = 7(3x - 1) + 6

Distribute the 7 inside the parenthesis.

g(3x - 1) = 21x - 7 + 6

Add 6 to -7.

g(3x - 1) = 21x - 1

Therefore, g(f(x)) is 21x - 1.

Answer: 780

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

5 = 2(x - 8) -x

5 = 2x - 16 -x

5 = x - 16

16 + 5 = x

21 = x

Answer:

= 2 1 /2

hope it helps you! :D

Answer:

8.75

Step-by-step explanation:

In order to determine what is 25% of 35, simply multiply 35 by 0.25 (which is the decimal equivalent of 25%).

0.25 × 35 = 8.75.

Therefore, the 25% of 35 is 8.75.

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Answer:

The rate of change is -3. The y-intercept (0,1). The equation of this linear function is y = -3x + 1

EXPLANATION: It is (0,1) because 0 is the x-intercept and 1 is the y-intercept. (x,y)

Answer:

A. is the right answer

Step-by-step explanation:

D is not right because it is not a perfect square. A is the only perfect square optional, which makes it rational. Hope this helps :)

Answer:

(-7,1) lies on the 2nd quadrant

(-7,-5) lies on the 3rd quadrant

Hope it helps:)

Answer:

2x - 3 = 6

Step-by-step explanation:

solve for 'x':

2x - 3 = 6

2x = 9

x = 9/2 or 4 1/2

Check:

2(9/2) - 3 = 6

9 - 3 = 6

6 = 6

Answer:

B

Step-by-step explanation:

I had this question before

Answer:

C. y= -3/2x - 4

Step-by-step explanation:

Option 2, y=-3/2x-4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.

First, we need to rewrite the original equation into standard form.

2x-3y=13

-3y=13-2x

y=-13/3+2/3x

From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.

Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).

y-(5)=-3/2(x+6)

y-5=-3/2x-9

y=-3/2x-4

And to check, we can just plug the coordinates into our new equation:

Check:

(5)=-3/2(-6)-4

5=9-4

5=5