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2 years ago

Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Mathematics

2 answers:

umka2103 [35]2 years ago

8 0

Answer:

x = 7

S.A.S

Step-by-step explanation:

2x + 14 = 4x

2x = 14

x = 7

9966 [12]2 years ago

7 0

Answer- X=7

Hope this helps

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Find the Total Surface area of a Pyramid. Its base is a regular hexagon 4cm on a side. its height is 8 cm. Round off to nearest

oksano4ka [1.4K]

Answer:

The total surface area of a regular hexagonal pyramid is 146.2 cm².

Step-by-step explanation:

The base is a regular hexagon 4cm on a side. its height is 8 cm.

The total surface area of a pyramid with regular hexagon base

$A=\frac{3\sqrt{3}}{2}a^2+3a\sqrt{h^2+\frac{3a^2}{4}$

Where, a represents the base edge and h represents the height of the pyramid.

The area of given regular hexagonal pyramid is

$A=\frac{3\sqrt{3}}{2}(4)^2+3(4)\sqrt{(8)^2+\frac{3(4)^2}{4}$

$A=\frac{3\sqrt{3}}{2}(16)+12\sqrt{64+12}$

$A=24\sqrt{3}+12\sqrt{76}$

$A=146.182794027$

$A=146.2$

The total surface area of a regular hexagonal pyramid is 146.2 cm².

8 0

3 years ago

F(x) = (4x–5)/6 <br> Find the Inverse

noname [10]

Answer:

F^-1 (x) = 3x/2+5/4

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y

Replace y with f−1(x) f − 1 ( x )

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Hope this helps! Stay Safe!

3 0

2 years ago

(A) How many ways can a 3-person subcommittee be selected from a committee of 6 people? (B) How many ways can a president co

Zepler [3.9K]

Answer:

A) N = 20 ways

a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.

B)N = 120 ways

The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.

Step-by-step explanation:

A) the number of ways a 3-person subcommittee be selected from a committee of 6 people N;

Since there is no given order for the selection, this means that the order of selection is irrelevant. Therefore, this is a combination problem where order is not considered.

N = nCr

N = 6C3

N = 6!/3!(6-3)! = 6!/3!3!

N = 720/(6×6)

N = 20 ways

a 3-person subcommittee can be selected from a committee of 6 people in 20 ways.

B) the number of ways a president, vice president and secretary can be chosen from a committee of 6 people N;

In this case, there is a given order of selection for the 3 posts. This is a permutation.

N = nPr

N = 6P3

N = 6!/(6-3)!

N = 6!/3!

N = 120 ways

The president, vice president and secretary can be chosen from a committee of 6 people in 120 ways.

6 0

3 years ago

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

solong [7]

Answer:

$20$ .

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are $a$ , $b$ , and $c$ :

$a + b > c$ ,

$a + c > b$ , and

$b + c > a$ .

In this question, the length of the sides are $10$ , $24$ , and $x$ . The length of these sides should satisfty the following inequalities:

$10 + 24 > x$ ,

$10 + x > 24$ , and

$24 + x > 10$ .

Since $x > 0$ , the inequality $24 + x > 10$ is guarenteed to be satisfied.

Simplify $10 + 24 > x$ to obtain the inequality $x < 35$ .

Similarly, simplify $10 + x > 24$ to obtain the inequality $x > 14$ .

Since $x$ needs to be a whole number, the greatest $x$ that satisfies $x < 35$ would be $34$ . Similarly, the least $x\!$ that satisfies $x > 14$ would be $15$ . Thus, $x\!\!$ could be any whole number between $15\!$ and $34\!$ (inclusive.)

There are a total of $34 - 15 + 1 = 20$ distinct whole numbers between $15$ and $34$ (inclusive.) Thus, the number of possible whole number values for $x$ would be $20$ .

5 0

2 years ago

What is 20 divided by two

Tcecarenko [31]

First of all, this shouldn't be in high school category.
Second, 20 divided by 2 is 10. Dividing is like subtraction. You would subtract 20 by 2, and you would find that after 10 times, you will get to zero.

7 0

3 years ago

Read 2 more answers