Ask question

Ask question

All categories

3 years ago

15

Find the values of the variables xy, and z in the parallelogram. The diagram is not drawn to scale

1 answer:

REY [17]3 years ago

5 0

Answer:

Therefore x = 33° , y = 40° and z = 109°.

Step-by-step explanation:

i) from properties of parallel lines a pair of alternate interior angles are equal

Therefore x = 33°

ii) from properties of parallelogram that a pair of opposite angles are equal, Therefore z = 109°.

iii) from the law of triangle that the sum of all angles in a triangle is 180° and also using the property of parallel lines that a pair of alternate interior angles is equal we can say that x° + y° + z° = 180° ⇒ 31° + y° + 109° = 180°, therefore y° = 180° - 140° = 40°.

Therefore x = 33° , y = 40° and z = 109°.

You might be interested in

If you have a geometric sequence and the ‘r’ value is negative, what is the effect?

qaws [65]

Every other nth term will be negative
example, the sequence an=2(-3)^n the sequence is
-6,18,-54, etc
alternates signs

4 0

3 years ago

For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing expon

Karolina [17]

Consider the polynomial $6xy^2-5x^2y^?+9x^2$ .

For this polynomial to be trinomial with a degree of 3. We have to identify the missing exponent of the 'y' term.

Let the missing exponent of the 'y' term be 0

So, the polynomial will be $6xy^2-5x^2y^0+9x^2$

= $6xy^2-5x^2+9x^2$

= $6xy^2+4x^2$ which is not a trinomial, which is a binomial.

So, the missing exponent of 'y' can'not be zero.

Let the missing exponent of the 'y' term be 2

So, the polynomial will be $6xy^2-5x^2y^2+9x^2$

= $6xy^2-5x^2y^2+9x^2$

= $6xy^2-5x^2y^2+9x^2$ which is a trinomial of degree 4.

So, the missing exponent of 'y' can'not be '2'.

If we will take the missing exponent of 'y' more than 2, than the degree of the given polynomial will not be 3 anymore.

Let the missing exponent of the 'y' term be 1

So, the polynomial will be $6xy^2-5x^2y^1+9x^2$

= $6xy^2-5x^2y+9x^2$

= $6xy^2+4x^2$ which is a trinomial of degree 3

So, the missing exponent of 'y' is 1.

7 0

4 years ago

Read 2 more answers

Mαkє α 10 tσ 15 mínutє lєѕѕσn αвσut Writing Linear Function

gavmur [86]

yes its esy do it im a tell you how ot

8 0

3 years ago

THIS ONE IF FOR YOU hdomingu0023!<br> (Random) What is (2x9)+708-888+1231=

Irina-Kira [14]

Answer:

lol im not that person but i will still do it

Step-by-step explanation:

2x9=18

18+708=

726-888=

-162+1231=

1069

well ig the answer is 1069

8 0

3 years ago

A moterboat that ravels with a speen of 20km/hour in still water has traveld 20 km against the current and 180km with the curren

Ira Lisetskai [31]

Answer:

10 kph

Step-by-step explanation:

Find the speed of the current of the river.

20/(20 - c) + 180/(20 + c) = 8

20(20 + c) + 180(20 - c) = 8(400 - c^2)

8c^2 - 160c + 800 = 0

8(c^2 - 20c + 100) = 0

8(c - 10)^2 = 0

c = 10

The speed of the current of the river is 10 km/hour.

5 0

3 years ago

Read 2 more answers