What is the area, in square centimeters, of
the figure below?

A. 6.96 cm?
B. 10.6 cm
C. 13.92 cm
D. 17.4 cm2

The measure of angle C is 35°.

Given that, ΔABC≅ΔDEF, ∠A=70°, ∠E=3x and ∠F=x+10.

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

In ΔABC and ΔDEF, corresponding angles are equal.

That is, ∠A=∠D=70°, ∠B=∠E=3x and ∠C=∠F=x+10

Now, ∠A+∠B+∠C=180° (∵angle sum property)

⇒70°+3x+x+10=180°

⇒4x=100°

⇒x=25°

Thus, ∠C=x+10=35°.

Therefore, the measure of angle C is 35°.

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Step-by-step explanation:

I had to take help from my brother for the solution as I'm not very good with solid geometry. Hope you got it and thanks for sharing questions like this. It helps me to learn more.

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

Answer:

d= -125

Step-by-step explanation:

Add 2 to 23

-d/5 < 25

Multiply 5

-d< 125

Divide by -1

d<-125

Change it to equals

d= -125

Answer: 32

Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps

Answer: x=32

Step-by-step explanation:

1/2x+4=20

      -4   -4

1/2x=16

Multiply by 1/2 on each side

x=32

Answer:

y = 10

Step-by-step explanation:

x = 7

2x + y = 24

y = -2x + 24

y = -2 * 7 + 24

y = -14 + 24

y = 10

Hope this helps!

Answer:

y = 10

Step-by-step explanation:

2(7) + y = 24

14 + y =24

y + 14 = 24

14 - 14 = y

24 - 14 = 10

y = 10

Hope this helped! :)

The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

-6

Step-by-step explanation:

Ok so if x=2

you have to do -3*2

and thats -6

hope this helped

good luck

Please read through this carefully. I’d love to help, but I want you to understand why this is the answer and not just copy and paste.

Answer:

1. -6

2. 20

Step-by-step explanation:

1. Simply replace x with 2, since x=2. 2x -3 is the same as -3+-3, which is -6.

2. Simply replace x with 2, since x=2. 2x5 is the same as 5+5, which is 10. 10+10=20, therefore, the answer is 20.

Answer:

j

Step-by-step explanation:

Answer:

b=125

Step-by-step explanation

9cm x 14 - 1 = 125

The APR for the monthly loans offered by Right Bank is 8.69%.

The Annual Percentage Rate (APR) represents the yearly cost of borrowing, including both the interest rate and any additional fees or charges associated with the loan.

In this case, Right Bank offers EAR (Effective Annual Rate) loans with an interest rate of 8.69%. This means that the APR for these loans is also 8.69%.

To understand the significance of the APR, let's consider an example. Suppose you borrow $250,000 for 6 years.

The monthly payment for this loan can be calculated using an amortization formula, which takes into account the loan amount, interest rate, and loan term. Using this formula, you can determine the fixed monthly payment amount for the specified loan.

For instance, for a loan amount of $250,000 and a loan term of 6 years, the monthly payment would be determined as follows:

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Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 55 gives the next term. In other words, an=a1rn−1an=a1rn-1.

Geometric Sequence: r=5r=5

This is the form of a geometric sequence.

an=a1rn−1an=a1rn-1

Substitute in the values of a1=1a1=1 and r=5r=5.

an=1⋅5n−1an=1⋅5n-1

Multiply 5n−15n-1 by 11.

an=5n−1

The 9th term for 1,5,25,125 is 390625

The sequence is given as:

1,5,25,125

The above sequence is a geometric sequence, and it has the following features:

The nth term is calculated using:

\(T_n= a *r^{n-1\)

So, we have:

\(T_9= 1 *5^8\)

Evaluate

\(T_9= 390625\)

Hence, the 9th term for 1,5,25,125 is 390625

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Given:

A race car game takes 6 points from a player each time the player hits a cone.

To find:

The integer which represents the change in total points if the player hits 10 cones.

Solution:

According to the given information,

1 hit = -6 points

Here, negative sign represents the reduction in points after hitting a cone.

If the player hits 10 cones.

(1 × 10) hit = (-6 × 10) points

10 hit = -60 points

So, the change in total points if the player hits 10 cones is -60.

Therefore, the required integer is -60.

Answer: 60

Step-by-step explanation:

based on the given conditions, formulate: 

 Calculate the product or quotient: 60

get the result Answer: 60

Good luck

The probability that the dog that's selected will weigh less than 30 pounds will be 55%.

From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:

= 1 - 45%

= 55%

The probability that it weighs more than 30 pound given that it has long fur will be 27%.

The events are independent since the occurence of one doesn't affect the other one.

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Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

So;

      x² - y²  = 10 x 4 = 40

Answer:

80627383(393939(37262683939

Descending order is a list of numbers starting at the highest value going to the lowest. For example 10, 8, 5, 2, 1, -1, -4.

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

18

Step-by-step explanation:

3/6 =1/2

1/2 of 36 is 18

The volume of the cone is (100)π cubic centimeters.

Given that the slant height (l) of the cone is 13 cm, and the height from the vertex to the center of the base (h) is 12 cm, we need to find the volume (V) of the cone.

To do this, we'll first need to find the radius (r) of the cone's base.
We can use the Pythagorean theorem to find the radius, since the slant height, height, and radius form a right triangle:
l² = h² + r²
Plugging in the given values:
13² = 12² + r²
169 = 144 + r²
r² = 25
r = 5 cm
Now that we have the radius, we can find the volume of the cone using the following formula:
V = (1/3)πr²h
Substitute the known values:
V = (1/3)π(5²)(12)
V = (1/3)π(25)(12)
V = (1/3)π(300).

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Step-by-step explanation:

-5y=35

=35÷(-5)

= -7

=-5×-7

=35

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

The width in miles, of the park is equal to 5/6 miles.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

Substituting the given points into the area of rectangle formula, we have the following;

25/54 = 5/9 × W

Width, W = 25/54 × 9/5

Width, W = 5/6 miles.

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Complete Question:

The area of a rectangular city park is 25/54 square miles. The length if the park is 5/9 of a mile. What is the width in miles, of the park?

Another way to write the expression c + 0.25c is 1.25c.

When we factor out the common factor c from the expression c + 0.25c, we get c(1 + 0.25). This is done by multiplying c by each term inside the parentheses.

Next, we simplify the expression 1 + 0.25. Adding the two numbers, we get 1.25.

Therefore, after factoring out the common factor c and simplifying the expression inside the parentheses, we obtain c(1.25). This means that another way to write the expression c + 0.25c is 1.25c.

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