1. AD is tangent to the circle at point C. What is the measure of < BCA?

Circle B with radius B C. line tangent to chord C has points D A C in that order. segments are drawn from the center to each point.

Question 1 options:

180 degrees


40 degrees


90 degrees


50 degrees

2. What is the measurement of

3.What is the value of x? Round your answer to the nearest tenth

(hint: two secants)

4. What is the value of n?

5. Question 5 options:
In the picture, Line BC is an example of a
, segment DB is a
and line DB is a

Answer:

Solution

[tex]x = - 3,\: y = -3[/tex]

Step-by-step explanation:

If the objective is to solve for the system of equations
- 7x - 5y = 36    [1]

x = 2y + 3    [2]

Then the process is as follows

The number of doves for 5 eagles is 15 doves.

Given:

2 sparrows = 1 parrot

2 parrots = 3 crows

3 crows = 1 dove

3 doves = 1 eagle

We can start by converting the units to find the value of 1 eagle in terms of sparrows:

2 sparrows = 1 parrot

2 parrots = 3 crows

3 crows = 1 dove

On simplifying the equation , we get

Therefore, we can substitute these values to find the conversion from sparrows to doves:

2 sparrows = 1 parrot = (2 parrots) * (3 crows) = (2 * 3 crows) = 6 crows

1 dove = 3 crows

So, in terms of sparrows:

1 dove = 6 crows = 12 sparrows

On simplifying the equation , we get

3 doves = 1 eagle

Substituting the value we found for 1 dove:

3 doves = 12 sparrows = 1 eagle

Now, we can find the value of 5 eagles:

5 eagles = 5 * (1 eagle) = 5 * (3 doves) = 15 doves

Hence , the number of doves is 15.

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Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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1. The  y-intercept for the trend line is 5.

3. price of a 0 page book starts off at 5 and increases 0.005 .

4. The slope intercept form is y = 0.005x + 5.

1. The  y-intercept for the trend line is 5.

2. Now, take two points (0, 5.00) and  (200, 6) and the point (0, 5) is the y intercept

then using the formula of slope

= (6-5)/ (200-0)

= 1/200

= 0.005

3. The real-world meaning of the slope is that the price of a 0 page book starts off at 5 and increases 0.005 .

4. So, the slope intercept form is

y - y1 = m (x- x1)

y - 5 = 0.005(x - 0)

y = 0.005x + 5

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The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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A rhombus is a quadrilateral with four equal side ,rhombus, opposite sides are parallel, and Opposite angles are equal. So, in rhombus CDEF, CE = DF = DE.

1.A rhombus is a quadrilateral with four equal sides. In a rhombus, opposite sides are parallel, and opposite angles are equal. So, in rhombus CDEF, CE = DF = DE.

2. Let's consider triangle CEG. According to the problem, EG = 5, and we know that CE and EG are equal sides of the rhombus.

3. Since CE = EG = 5, triangle CEG is an isosceles triangle. In an isosceles triangle, the base angles (the angles opposite the equal sides) are equal.

4. Now, let's focus on point G and the information given about GC. It's stated that GC = -4x + 9.

5. Since opposite sides of a rhombus are parallel, angle CGE and angle CEG are equal. We can use the properties of triangles and corresponding angles to relate GC and CE.

6. From step 5, we have GC = CE + EG = CE + 5.

7. Substituting the value of GC from step 4, we have -4x + 9 = CE + 5.

8. To solve for x, we need to isolate the variable. Let's move the constant terms to the other side of the equation: -4x = CE + 5 - 9.

9. Simplifying the right side of the equation, we have -4x = CE - 4.

10. Finally, since CE = 5 (from step 2), we substitute that value into the equation: -4x = 5 - 4.

11. Solving the equation, we have -4x = 1.

12. Dividing both sides by -4, we find x = -1/4.

Therefore, the value of x in the given problem is -1/4.

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Note the full question may be :

Given rhombus CDEF below, with EG = 5. If GC = -4x + 9, we need to solve for x.

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

Answer:

B) -2

Step-by-step explanation:

The slope of the line can be solved by using the following equation:

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

Let: [tex](x_1, y_1) = (0 , 4)\\(x_2 , y_2) = (-1 , 6)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - (4)}{-1 - (0)}[/tex]

[tex]m = \frac{6-4}{-1 - 0} = \frac{2}{-1}[/tex]

m = -2 is your answer.

~

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Answer:

The answer is B

-2

Step-by-step explanation:

slope =rise/run

[tex]m = \frac{y(2) - y(1)}{x(2) - x(1)} [/tex]

[tex]m = \frac{6 - 4}{ - 1 - 0} [/tex]

[tex]m = \frac{2}{ - 1} [/tex]

[tex]m = - 2[/tex]

There are 2 tons in 4000 pounds. In order to figure this out, you must first know how many pounds are in a ton. There are 2000 pounds in one ton. Now you can either divide 4000 by 2000 or add to see how many groups of 2000 make 4000.

Answer: The final result is 268435456.

Step-by-step explanation: Given that a = 2 and b = 7, we can simply plug in our numbers into the variable and begin to evaluate. a²ᵃᵇ becomes 2²°²°⁷, which means we simply multiply the values in the exponential position. This comes out to be 2²⁸, which brings us our final result when evaluated.

Answer:

To evaluate the expression a^2ab when a = 2 and b = 7, we need to substitute the values of a and b into the expression and simplify it. We can use the order of operations (PEMDAS) to simplify the expression correctly. First, we perform any calculations inside parentheses, then we evaluate exponents, then we do multiplication and division from left to right, and finally, we do addition and subtraction from left to right.

The expression a^2ab has no parentheses, so we can skip that step. Next, we evaluate the exponents. We have a^2 and b^2, which means a multiplied by itself twice and b multiplied by itself twice. Since a = 2 and b = 7, we can replace a^2 with 2^2 and b^2 with 7^2. This gives us:

a^2ab = 2^2 * 2 * 7 * b

Next, we simplify the exponents by multiplying the base by itself as many times as the exponent indicates. For example, 2^2 means 2 multiplied by itself twice, which is 4. Similarly, 7^2 means 7 multiplied by itself twice, which is 49. This gives us:

a^2ab = 4 * 2 * 7 * b

Next, we do multiplication and division from left to right. There is no division in this expression, so we only need to multiply the numbers together. We can use any order of multiplication, as long as we multiply all the numbers together. For example, we can multiply 4 by 2 first, then multiply by 7, then multiply by b. This gives us:

a^2ab = (4 * 2) * 7 * b

a^2ab = 8 * 7 * b

a^2ab = 56 * b

Finally, we do addition and subtraction from left to right. There is no addition or subtraction in this expression, so we are done simplifying it. The final answer is:

a^2ab = 56b

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Answer:

43) 79 years and 6 months

44)  17 years and 6 months

Step-by-step explanation:

As the account increases by a constant percentage bi-monthly, we can use the compound interest formula to write a function to model the situation.

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

The interest is compounded bi-monthly, which means every 2 months.

Therefore, the interest is applied 6 times per year.

Given values:

Substitute the given values into the formula, and solve for t:

[tex]\begin{aligned}A&=P\left(1+\dfrac{r}{n}\right)^{nt}\\\\\implies 10000&=2400\left(1+\dfrac{0.018}{6}\right)^{6t}\\\\\implies 10000&=2400\left(1+0.003\right)^{6t}\\\\\dfrac{25}{6}&=\left(1.003\right)^{6t}\\\\\textsf{Take natural logs:} \quad \ln \left(\dfrac{25}{6}\right)&=\ln\left(1.003\right)^{6t}\\\\\ln \left(\dfrac{25}{6}\right)&=6t\ln\left(1.003\right)\\t&=\dfrac{\ln \left(\dfrac{25}{6}\right)}{6\ln\left(1.003\right)}\\\\t&=79.4031089...\end{aligned}[/tex]

The account balance will reach $10,000 during the 79th year (after 79 years and 4.84 months).

As the interest is applied bi-monthly (every 2 months) we need to round up to the nearest 2 month interval. Therefore, the account balance will reach $10,000 after 79 years and 6 months.

Note: After 79 years and 4 months, the account balance will be $9,987.47, and after 79 years and 6 months it will be $10,017.43.

[tex]\hrulefill[/tex]

As the account increases by a constant percentage quarterly, we can use the compound interest formula to write a function to model the situation.

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

The interest is compounded quarterly, which means every 3 months.

Therefore, the interest is applied 4 times per year.

Given values:

Substitute the given values into the formula, and solve for t:

[tex]\begin{aligned}A&=P\left(1+\dfrac{r}{n}\right)^{nt}\\\\\implies 60000&=30000\left(1+\dfrac{0.04}{4}\right)^{4t}\\\\\implies 60000&=30000\left(1+0.01\right)^{4t}\\\\2&=\left(1.01\right)^{4t}\\\\\textsf{Take natural logs:} \quad \ln \left(2\right)&=\ln\left(1.01\right)^{4t}\\\\\ln \left(2\right)&=4t\ln\left(1.01\right)\\\\t&=\dfrac{\ln \left(2\right)}{4\ln\left(1.01\right)}\\\\t&=17.4151792...\end{aligned}[/tex]

The value of the investment account will double during the 17th year (after 17 years and 4.98 months).

As the interest is applied quarterly (every 3 months) we need to round up to the nearest 3 month interval. Therefore, the investment account will double by 17 years and 6 months.

Note: After 17 years and 3 months, the account balance will be $59,606.83, and after 17 years and 6 months it will be $60,202.90.

Is B becausee e of you cut that into secorts like slice you need to find a parallelogram like a shape

First make the fraction into an improper fraction:

Do denominator (bottom number) times the whole number (big number at the front of the fraction) and then plus the numerator (the number at the top)

So for the first one you would do, 3 x 2 = 6

6 + 1 = 7

New fraction = 7/3

Do this for the next fraction:

4 x 1 = 4

4 + 3 = 7

New fraction = 7/4

Now make the denominator the same for both fractions.

Do this by multiplying it by a number to make them the same.

For example here you can multiply 3 by 4, and multiply 4 by 3 to make them both 12.

And remember whatever you do to the denominator, you do to the numerator. So this is our question:

7/3 + 7/4

Multiplying denominators by 3 and 4

7/3 (x4) + 7/4 (x3)

So the new question is:

28/12 + 21/12

Now we can add the new numerators together. leaving the denominators the same.

28 + 21 = 49

Answer = 49/12

To make it a mixed number just divide 49 by 12, until you get a decimal.

You can divide 49 by 12 4 times.

Mixed number answer is:

4 1/12

(if the question doesnt ask for a mixed number you dont need to do it. But its better if you do).

The set that describes x when y < 10 is 0 < x < 6/7

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

y = 2|3 - 7x| + 4

The value of y is given as

y < 10

So, we have

2|3 - 7x| + 4 < 10

Subtract 4 from both sides

2|3 - 7x| < 6

Divide both sides by 2

|3 - 7x| < 3

When the brackets are opened, we have

-3 < 3 - 7x < 3

So, we have

-6 < -7x < 0

Evaluate

6/7 > x > 0

Rewrite as

0 < x < 6/7

Hence, the set that describes x when y < 10 is 0 < x < 6/7

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The area of the triangle is 68.75 yd²

The space enclosed by the boundary of a plane figure is called its area. It is measured in units².

A triangle is a polygon with three sides having three vertices. Therefore different types of triangle.

For a right triangle i.e a triangle with exactly 90°. the area is calculated as 1/2 bh

The area of a triangle is expressed as ;

A = 1/2 bh

base = 22 yards

height = 25/4

A = 1/2× 22 × 25/4

A = 550/8

A = 68.75 yards²

Therefore the area of the triangle is 68.75yd²

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The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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This means that, on average, the player can expect to lose approximately $0.499 per game in the long run. Therefore, participating in this game would result in a net loss for the player over time.

To find the expected value for this game, we need to calculate the average amount the player can expect to win or lose over the long run.

In this case, there are 1000 possible numbers (000 to 999), and the player bets $1 on a specific number (e.g., 115). If the selected number is drawn, the player wins $500. If any other number is drawn, the player loses the $1 bet.

To calculate the expected value, we need to multiply the probability of each outcome by its corresponding payout and sum them up.

The probability of selecting the specific number is 1/1000 since there is only one winning number out of the 1000 possibilities.

Expected value = (Probability of winning * Amount won) + (Probability of losing * Amount lost)

= (1/1000 * $500) + (999/1000 * -$1)

= $0.50 - $0.999

= -$0.499

The expected value for this game is -$0.499.

This means that, on average, the player can expect to lose approximately $0.499 per game in the long run. Therefore, participating in this game would result in a net loss for the player over time.

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Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

1. Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M°

Andy's oldest daughter ate the most pizza. She ate the entire personal pizza, which is 10 inches in diameter. This means that she ate 100% of the pizza. Andy's wife ate 2/6 of the small pizza, which is 12 inches in diameter. This means that she ate 1/3 of the pizza. Andy's younger daughter ate 1/8 of the medium pizza, which is 14 inches in diameter.

This means that she ate 12.5% of the pizza. Andy cut himself a piece that had a central angle of 180° from the large pizza, which is 16 inches in diameter. This means that he ate 50% of the pizza.

The least amount of pizza was eaten by Andy's younger daughter. She only ate 1/8 of the medium pizza.

2. If the company offered an extra large pizza, you could find out how much of it a person ate if they cut their own piece with a central angle of M° by using the following formula:

Percentage of pizza eaten = (M° / 360°) * 100%

For example, if a person cut themselves a piece of an extra large pizza with a central angle of 180°, they would have eaten 50% of the pizza.

Percentage of pizza eaten = (180° / 360°) * 100% = 50%

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Answer:

The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. We are given that the volume of the cylinder is 980 in³ and the radius is 7 in. We can plug these values into the formula and solve for h.

V = πr²h

980 = π(7)²h

980 = 49πh

To isolate h, we divide both sides of the equation by 49π:

h = 980 / (49π)

h ≈ 6.318

Rounding to the nearest whole number, we get h ≈ 6 in. None of the provided answer choices match this result. It's possible that there is an error in the problem statement or the answer choices.

Step-by-step explanation:

The rectangular coordinates of the polar coordinates (3√5, -π/8) are approximately (3.35, -0.77).

To convert polar coordinates (r, θ) to rectangular coordinates (x, y), we use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

In this case, the given polar coordinates are (3√5, -π/8).

Applying the formulas, we have:

x = (3√5) * cos(-π/8)

y = (3√5) * sin(-π/8)

Evaluating the trigonometric functions using a calculator or trigonometric tables, we find:

x ≈ 3.35

y ≈ -0.77

Rounding these values to the nearest hundredth, the rectangular coordinates of the polar coordinates (3√5, -π/8) are approximately (3.35, -0.77).

Please note that the angle -π/8 represents a counterclockwise rotation of π/8 radians from the positive x-axis in the Cartesian coordinate system.

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The population of Texas was about 10 times larger than the population of Maine in 2012.

To find out how many times larger the population of Texas was compared to the population of Maine in 2012, we need to divide the population of Texas by the population of Maine.

Population of Texas: 2.6 x 10^7

Population of Maine: 1.3 x 10^6

Dividing the population of Texas by the population of Maine:

(2.6 x 10^7) / (1.3 x 10^6)

When dividing numbers written in scientific notation, we subtract the exponents:

2.6 / 1.3 = 2

The exponents remain the same:

10^(7-6) = 10^1 = 10

Therefore, the population of Texas in 2012 was approximately 10 times larger than the population of Maine.

In summary, the population of Texas was about 10 times larger than the population of Maine in 2012.

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The real solution is x = -9

We need to know that algebraic expressions are described as mathematical expressions that are made up of terms, variables, coefficients, factors and constants.

From the information given, we have that the equation is;

√(2x+2)- √(x=8)=1

Find the square of both sides, we get;

[tex](\sqrt{2x + 2} )^2 - (\sqrt{x - 8})^2 = 1^2[/tex]

Note that the square cancels out the square root, we get;

2x + 2 - (x - 8) = 1

expand the bracket, we have;

2x + 2 -x + 8 = -1

collect the like terms, we have;

2x - x = 1 - 8 - 2

add or subtract the like terms, we have;

x = -7 -2

x = -9

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The complete question is:

Find the real solution for the following equation

√(2x+2)- √(x-8)=1

It appears you are asking about a specific name associated with numbers that are crossed out,  The Sieve of Eratosthenes is named after the ancient Greek mathematician Eratosthenes, who devised this technique

This concept is related to the Sieve of Eratosthenes, an ancient algorithm used to identify prime numbers. In this method, numbers are crossed out or eliminated as multiples of previous prime numbers, leaving only the prime numbers remaining.

The "one" you mention is the exception because it is neither a prime nor a composite number. This process helps efficiently identify prime numbers up to a specified limit.

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The requried smaller container holds 18 gallons and the larger container holds 31 gallons.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms and so on.

Let x be the amount of gasoline held in the smaller container (in gallons).

Then, according to the problem, the larger container can hold 5 gallons less than twice the amount in the smaller container, which can be expressed as:

[tex]\sf 2x - 5[/tex]

The total amount of gasoline held by both containers is given as 49 gallons:

[tex]\rightarrow \sf x + (2x - 5) = 49[/tex]

[tex]\rightarrow \sf 3x - 5 = 49[/tex]

[tex]\sf \rightarrow 3x = 54[/tex]

[tex]\sf \rightarrow x =18[/tex]

So the smaller container holds 18 gallons.

Using the expression 2x - 5, the larger container holds:

[tex]\rightarrow\sf 2(18) - 5 = 31 \ gallons[/tex]

Hence, the smaller container holds 18 gallons and the larger container holds 31 gallons.

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Answer:

This is a word problem that involves solving a system of linear equations. Let x be the number of gallons in the small container and y be the number of gallons in the big container. We can write two equations based on the given information:

x + y = 49 (the total amount of gasoline is 49 gallons)

y = 2x - 5 (the big container can hold 5 gallons less than twice the small container)

To solve this system, we can use substitution or elimination method. We will use substitution method in this example. We can substitute y with 2x - 5 in the first equation and get:

x + (2x - 5) = 49

Simplify and solve for x:

3x - 5 = 49

3x = 54

x = 18

Now we can plug x = 18 into either equation to find y. We will use the second equation:

y = 2x - 5

y = 2(18) - 5

y = 31

Therefore, the small container holds 18 gallons and the big container holds 31 gallons.

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The equivalent value of x from the exponential equation is x = 3

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the first exponent be p = 5 + 20 ( 2 )²⁻³ˣ

Let the second exponent be q = 10 ( 2⁻²ˣ ) + 5

where the values of p and q are equal

So , p = q

And , 5 + 20 ( 2 )²⁻³ˣ = 10 ( 2⁻²ˣ ) + 5

Subtracting 5 on both sides:

20 ( 2 )²⁻³ˣ = 10 ( 2⁻²ˣ )

Divide by 2 on both sides:

2( 2 )²⁻³ˣ = ( 2⁻²ˣ )

From the laws of exponents , we get

mᵃ×mᵇ = mᵃ⁺ᵇ

2⁽¹⁺²⁻³ˣ⁾ = ( 2⁻²ˣ )

The bases are equal , so the powers are also equal

1 + 2 - 3x = -2x

Adding 3x on both sides:

x = 3

Hence , the exponents are solved and x = 3

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[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=19\\ \theta =82 \end{cases}\implies A=\cfrac{(82)\pi (15)^2}{360}\implies A\approx 161.01[/tex]

Answer:

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

To compare two values, express both as the same unit measure.

We know that 1 % = 1/100, then 25% is:

Compare 0.25 and 0.3:

The statement is false as 0.3  is greater than 25%.