Answer:
d < - 7
Step-by-step explanation:
given
42 < - 6d ( divide both sides by - 6 )
Remembering to reverse the inequality symbol as a consequence
- 7 > d ⇒ d < - 7
Hi there!
The question is asking us to simplify the expression (x² + 3x - 7)(2x - 5) and write the answer in standard form. Here is how you do that -
Original: (x² + 3x - 7)(2x - 5)
Break it apart - [(x² + 3x - 7)(2x)] + [(x² + 3x - 7)(-5)]
Simplify -
2x³ + 6x² - 14x - 5x² - 15x + 35
Now, combine like terms -
2x³ + x² - 29x + 35
Therefore, the answer to your query is 2x³ + x² - 29x + 35. Hope this helps!
Answer:
X=135 degrees
Step-by-step explanation:
the total interior angle of a triangle is 180.
To work this out you would first add the interior angles of B which is 69 and the interior angle of C which is 66, which gives you 135.
The next step is to minus 135 from 180, which gives you 45. This is because the total interior angle of a triangle is 180.
Then to work out the angle of x you would minus 45 from `180, which gives you 135. This is because the total angle in a straight line is 180 degrees.
1) Add the angles of 69 and 66.

2) Minus 135 from 180.

3) Minus 180 from 45.

C.
If you spin it around 180 degrees from the center, it's the same object
Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.