The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base?A 4
B 6
C 3

Answers

Answer 1
Answer: Heya!!

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Since length of two legs are equal..

=) x+1 = - x+7

=) x+x = 7-1

=) 2x = 6

=) x = 6/2 = 3

Hence base = 3(3) - 3

= 9-3

= 6.

Hope it helps!!
Answer 2
Answer:

The base is 6.

In order to find this, we can set the legs equal to each other since legs have the same length in an isosceles triangle.

x + 1 = -x + 7

2x + 1 = 7

2x = 6

x = 3

Now that we have the value for x, we can plug into the equation to get the value for the base.

3x - 3 = base

3(3) - 3 = base

9 - 3 = base

6 = base


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Someone please help me to answer these questions

Which of the following is not an identity?O A. 2cos2x-1 = 1 - 2sin2x
O B. secx cscx(tanx + cotx) = sec2x + csc2x
O C. 2sin?x- sinx = 1
D. sin2x + tan2x + cos2x = secax

Answers

2sin^2 - x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

Out of Four options are given, which of them is not an identity is to be determined.

What is identity?

An identity is the common case formula that helps to solve mathematics.

1)

2cos^2x-1 = 1 - 2 sin^2x\n \ncos2x =cos2x

It is also a perfect identity.

2)

secx cscx(tanx+ cotx) = sec^2x + csc^2x\n\n\nsec x cscx (sinx/cos x + cosx/sinx) = sec^2 + csc^2x\n\nsecx cscx (sin^x+cox^2x/cosxsinx) = sec^2x +csc^2x

     It is also not an identity.

3) 2sin^2-X- Sinx=1

It's not an identity cause it is form of equation and contain -x.

4)

sin^2x+ tan^2x + cos^2x = sec^2x\n sin^2x + cos^2x = sec^2x -tan^2x = 1

It is a perfect identity.

Thus, 2sin^2- x - Sinx =1 and sec x csc x (tanx+ cotx) = sec^2x + csc^2x is not an identity. Option B and C is correct.

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Answer:

C. 2 sin^2x-sinx=1

Step-by-step explanation:

a p e c

Teloria, Maria, and Britt each ordered a pizza. Teloria ate4
7
of hers, Maria ate
3
4
of hers, and Britt ate 5 of her 8 slices. Order the girls, from greatest to least, according to how much of their pizzas they ate

A) Teloria, Maria, and Britt each ordered a pizza. Teloria ate
4
7
of hers, Maria ate
3
4
of hers, and Britt ate 5 of her 8 slices. Order the girls, from greatest to least, according to how much of their pizzas they ate

A) Maria, Teloria, Britt
B) Britt ,Teloria, Maria
C) Teloria, Maria, Britt
D) Maria, Britt, Teloria

Answers

From greatest to least, the order of how much of their pizzas the girls ate is Maria, Britt, and Teloria.

So the answer is (D) Maria, Britt, and Teloria.

What is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To compare how much of their pizzas each girl ate, we need to convert the fractions to a common denominator.

Teloria ate 4/7 of her pizza, which is equal to 4/7 x 1 = 4/7.

Maria ate 3/4 of her pizza, which is equal to 3/4 x 1 = 3/4.

Britt ate 5 out of her 8 slices, which is equal to 5/8.

To convert the fractions to a common denominator, we can multiply 4/7 and 3/4 by 8/8, and multiply 5/8 by 7/7 as follows:

Teloria: 4/7 x 8/8 = 32/56

Maria: 3/4 x 8/8 = 24/32

Britt: 5/8 x 7/7 = 35/56

Now we can compare the fractions as follows:

Britt: 35/56

Teloria: 32/56

Maria: 24/32

We can simplify the fractions and write them as decimals as follows:

Britt: 35/56 = 0.625

Teloria: 32/56 = 0.5714

Maria: 24/32 = 0.75

Therefore, the answer is (D) Maria, Britt, and Teloria.

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The Answer is D
Teloria- 32/56
Maria- 42/56
Britt- 35/56

Round the following to the nearest cent: $16.997

Answers

$17.00 would be the answer to the problem

What is the approximate area of the shaded region?

Answers

That 10 is the diameter of the circle.

First let's find the area of the square.

A = s^2

Where 's' is the side.

A = 10^2

A = 100

Now let's find the area of the circle.

The '10' is also the diameter of the circle.

A = pi * r^2

A = 3.14 * 5^2

A = 3.14 * 25

A = 78.5

Now subtract this from the area of the square.

100 - 78.5 = 21.5

So the approximate area of the shaded region is 21.5cm^2

Answer:

21.5^2

Step-by-step explanation:

1 5/6 divided by 2 1/8 by writing it out to solve the problem. STEP BY STEP

Answers

1 5/6 divided by 2 1/8
1) you must change the mixed numbers into improper fractions
2) 1 5/6 is 11/6 and 2 1/8 is 17/8
3) then you must change the operation from division to multiplication
4) then you have to find the recipricol of 17/8 (flip it) and it will be 8/17
5) Finally, you multiply and you will get 88/102: 11/6x8/17=88/102 amd yoy can simplify if asked

Final answer:

To solve 1 5/6 divided by 2 1/8, convert each number into an improper fraction, reciprocate the second fraction and multiply it with the first. The result is 8/6 which simplifies to 1 1/3.

Explanation:

To solve the problem of 1 5/6 divided by 2 1/8, we should first convert each mixed number into an improper fraction. The number 1 5/6 becomes 17/6 (because 1*6 + 5 = 11) and 2 1/8 becomes 17/8 (because 2*8 + 1 = 17). Then we transform the division into multiplication by using the reciprocal of the second fraction. This makes the problem 17/6 multiplied by 8/17. These two fractions multiply to simplifying to 1, leaving us with the answer of 8/6, which can be simplified to 1 1/3.

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Help please! Question is in the picture!

Answers

The correct answer is B and D.

Answer choice A is a ray, not a plane.
Answer choice C is not even a plane.

M is the name of the plane. Also, plane SRX is a plane because it contains points that are not all in a straight line and are on the same plane.
CX is a line not a plane. You can tell from the line symbol above CX.
SRX are all points on a plane and define the plane by existence.
g is a line but not a plane.
Plane M is a plane as it is a two-dimensional flat surface consisting of lines and points.

I would choose B and D. However, the answer choices define line g as a plane so you might want to look further into it.