(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.

Mathematics

1 answer:

krok68 [10]2 years ago

4 0

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

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Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which an

valina [46]

Answer:

a. angles A and C

b. angles B and D

Step-by-step explanation:

When two lines are parallel, it implies the value of the angle between them is $180^{0}$ . Thus the lines can not meet when extended continuously.

Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.

Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.

i.e < A = < C (alternate interior angle property)

<B = < D (alternate interior angle property)

8 0

2 years ago

Read 2 more answers

PLEASE HELP ASAP!!!!!

Nata [24]

Answer:

$\huge\boxed{\sf x = 20}$

Step-by-step explanation:

=> Since it is an equilateral (Having all angles and all sides equal) triangle, so every angles will be equal to the other.

=> The sum of the measures of interior angles of triangle add up to 180 degrees.

So,

3x + 3x + 3x = 180

9x = 180

Divide both sides by 9

x = 20

$\rule[225]{225}{2}$

Hope this helped!

7 0

2 years ago

HELP PLEASE AND THANK YOU 1JAAB

Dafna1 [17]

Answer:

$\bold{Q1}\ side\ BD\\\\\bold{Q2}\ \angle5\ \leftrightarrow\ \angle6\\\\\bold{Q3}\ \triangle TAP\\\\\bold{Q4}\ \triangle APT$

Step-by-step explanation:

For Q1 and Q2

$\text{If}\ AB\cong AC,\ BD\cong CD,\ RSTU\ \text{is a parallelogram (rectangle)},\ \text{then}\\\\\angle 1\ \leftrightarrow\ \angle2\\\angle3\ \leftrightarrow\ \angle4\\\angle C\leftrightarrow\ \angle B\\\angle 5\ \leftrightarrow\ \angle6\\\angle7\ \leftrightarrow\ \angle 8\\\angle R\ \leftrightarrow\ \angle T\\\angle S\ \leftrightarrow\ \angle U$

$\overline{AB}\ \leftrightarrow\ \overline{AC}\\\overline{BD}\ \leftrightarrow\ \overline{CD}\\\\\overline{RS}\ \leftrightarrow\ \overline{TU}\\\overline{ST}\ \leftrightarrow\ \overline{UR}$