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3 years ago

What is the value of x drawing not to scale

Mathematics

2 answers:

AVprozaik [17]3 years ago

8 0

angle x would end up being equal to 71 degrees.

Margaret [11]3 years ago

3 0

Answer:

<h2>The value of <em>x </em>is 71°.</h2>

Step-by-step explanation:

The given triangle has to equal sides, this means that the triangle isosceles, from which we can deduct from the theorem of isosceles triangles that<em> the angles formed by these two equal sides are congruent.</em>

Also, we know that the sum of all internal angles of a triangle must be 180°. So

$x\° + x\° + 38\° =180\°\\2x\°=180\°-38\°\\x\°=\frac{142\°}{2}\\x\°=71\°$

Therefore, the value of <em>x </em>is 71°.

<h2 />

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Arithmetic sequences et sn} be an arithmetic sequence that starts with an initial index of 0. The initial term is 3 and the comm

navik [9.2K]

Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

3 0

4 years ago

Drag the tiles to the correct boxes to complete the pairs.

Bond [772]

Answer:

it is the reflection in the x-axis

Step-by-step explanation:

3 0

2 years ago

Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 +

ozzi

HERES THE ANSWER AND EXPLINATION

⇒Associative property of Addition is applied for three real numbers.For, any three real numbers, A, B and C
≡A+B+C=A+(B+C)=(A+B)+C=(A+C)+B→→→Associative Property of Addition
that is , we can add any two numbers first and then the third number with them.
⇒Also, Commutative Property of Addition of two numbers says that for any two numbers , A and B
≡A+B=B+A
We have to find equivalent expression using Associative Property of the sum of set of three numbers
→→(13+15+20)+(20+47+18)
Answer Written by Jerry
→(20+13+15)+(20+47+18)
Answer Written by Layla
→(20+47+18)+(13+15+20)
The Expression Written by Keith and Melinda is Incorrect,because they haven't used the bracket Properly, as associative property says that you can add any two numbers first and then the third number among three numbers.
→→Number of Students who has applied the Associative property Correctly
Option B ⇒Two(Jerry, Layla)

8 0

3 years ago

A rectangle has vertices H(3,0), I(3,7), J(6,7) , and K(6, 0) . Use the coordinates to find the perimeter of the rectangle. _uni

Paul [167]

Answer:

20 units

Step-by-step explanation:

Plot points on a graph. doesn't have to be to scale. check co-ordinates differences and add up. see image.

4 0

2 years ago

Which matrix equation represents this linear system?<br> <img src="https://tex.z-dn.net/?f=2x-7y%3D-1%5C%5Cx%2B3y%3D-5" id="TexF

Nikolay [14]

Answer:

The answer is the letter B.

The first column represents the x-values, and the second row represents the y-values.

For that reason, if we have:

2x - 7y = -1

x + 3y = -5

Then, the matrix will be given by:

[ 2 -7

1 3]

Then, the third colum will be the equality:

[ -1

-5]

So the correct option is the letter B.

3 0

3 years ago

Read 2 more answers