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2 years ago

What is the value of x?

Mathematics

1 answer:

Nataliya [291]2 years ago

3 0

There two things you need to remember with regards to your figure.
Firstly, the sum of all angles in a triangle is equal to 180.

Secondly, supplementary angles are two angles that form a straight line. In other words, the two lines sum up to 180 degrees.

Looking at your figure and the rules written above, you can then assume that the measure of angle x is equal to the sum of the two angles given inside the triangle.

53 + 45 = 98

Angle x is 98 degrees

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Can anyone help with 1-10

Alex787 [66]

Answer:

1. E

2. A

3. B

4. AB

5. E

6. D

7. BC

8. CD

9. A

10. C

Step-by-step explanation:

6 0

2 years ago

Help me please, It's not 20 or 75

jenyasd209 [6]

A+B+C+D+E=540°

4X+5+7X+6X+10+5X-5+4X+10=540

26X = 520

X = 520 : 26 = 20°

E = 4X + 10 = 80 + 10 = 90 °

3 0

2 years ago

An equilateral triangle and a square have the same perimeter. Each side of the square measures 6 cm. What is the length of each

Allisa [31]

Each side of the triangles is 8 cm

7 0

2 years ago

Find the generating function for the sequence 1,-2,4,-8, 16, ...

kirill [66]

Answer:

$a(x)=\dfrac{1}{1+2x}$

Step-by-step explanation:

The generating function a(x) produces a power series ...

$a(x)=a_0+a_1x+a_2x^2+a_3x^3+\dots$

where the coefficients are the elements of the given sequence.

We observe that the given sequence has the recurrence relation ...

$a_0=1;a_n=-2a_{n-1} \quad\text{for n $>$ 0}$

This can be rearranged to ...

$a_n+2a_{n-1}=0$

We can formulate this in terms of a(x) as follows, then solve for a(x).

$\sum\limits^{\infty}_{n=1} {a_{n}x^n} =a(x)-a_0 \quad\text{and}\\\\\sum\limits^{\infty}_{n=1} {2a_{n-1}x^n} =(2x)a(x) \quad\text{so}\\\\\sum\limits^{\infty}_{n=1} {(a_n+2a_{n-1})x^n}=0=a(x)-a_0+2xa(x)\\\\a(x)=\dfrac{a_0}{1+2x}=\dfrac{1}{1+2x}$

The generating function is ...

a(x) = 1/(1+2x)

3 0

2 years ago

Read 2 more answers

There is a quadrilateral MNPQ in which side MN is congruent to side PQ and side NP is parallel to side MQ. The diagonal MP and t

8_murik_8 [283]

Answer: QN = 12

Step-by-step explanation: This quadrilateral is a paralelogram because its 2 opposite sides (NP and MQ) are parallel and the other 2 (MN and PQ) are congruent.

In paralelogram, diagonals bisect each other, which means QR = RN.

If QR = RN:

QR = 6

Then,

QN = QR + RN

QN = 6 + 6

QN = 12

The diagonal QN of quadrilateral MNPQ is QN = 12.

5 0

2 years ago