Answer:

Step-by-step explanation:


Answer:
4
Step-by-step explanation:
can also be written as
. Evaluating this gives
=
= 
Answer:
By exterior angle theorem, we have;
∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC
∴ ∠H + ∠HEB = ∠H + ∠HDC
By addition property of equality, we have
∠HEB = ∠HDC
∠H = ∠H by reflexive property
∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate
∴ HE/HD = EB/DC, by the definition of similarity
Therefore, by cross multiplication, we have;
HE × DC = EB × HD
Therefore, by commutative property of multiplication, we have;
HE × DC = HD × EB
Step-by-step explanation:
Answer:
(hope this helps can I pls have brainlist (crown) ☺️)
Step-by-step explanation:
7^8 x 7^3 x 7^4 / 7^9 7^5
= 7^(8+3+4) / 7^(9+5)
= 7^15 / 7^14
= 7^(15-14)
= 7.
When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:
7^8 x 7^3 x 7^4= 7^15
Now, look at the rest of the simplified equation and do the same to the denominator:
7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14
When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer = 7^15-14 = 7^1 = 7
Answer:
<h3>-cos10°</h3>
Step-by-step explanation:
cos is positive at first and fourth quadrant
so, cos (-x) = cos (x)
also, cos(180-x) = -cos x
cos (180+x) = -cos x
cos (-170°) = cos (170°)
cos(170°) = cos (180° - 10°)
= - cos 10°