Answer:
The measure of ∠GKH is 27°
Step-by-step explanation:
- In the isosceles triangle, the base angles are equal in measures
- The measure of an exterior angle at a vertex of a triangle equals the sum of the measures of two opposite interior angles
In Δ HJK
∵ HJ = JK
→ That means the triangle is isosceles
∴ Δ HJK is an isosceles triangle
∵ ∠JHK and ∠JKH are base angles
→ By using the first rule above
∴ m∠JHK = m∠JKH
∵ m∠HJK = 70°
∵ m∠JHK + m∠JKH + m∠HJK = 180° ⇒ interior angles of a triangle
∴ m∠JHK + m∠JKH + 70 =180
→ Subtract 70 from both sides
∴ m∠JHK + m∠JKH = 110
→ Divide their sum by 2 to find the measure of each one
∴ m∠JHK = m∠JKH = 110 ÷ 2 = 55°
∵ ∠JHK is an exterior angle of ΔGHK at vertex H
∵ ∠HGK and ∠GKH are the opposite interior angles to ∠JHK
→ By using the 2nd rule above
∴ m∠JHK = m∠HGK + m∠GKH
∵ m∠JHK = 55°
∵ m∠HGK = 28°
∴ 55 = 28 + m∠GKH
→ Subtract 28 from both sides
∴ 27° = m∠GKH
∴ The measure of ∠GKH is 27°
<u>Step-by-step explanation:</u>
Here we have , cos x = -4/5 ( corrected as given -45 which is not possible ) ,
180° < x < 270° i.e. in third quadrant . We need to find tan(2x) . Let's find out:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
, since in third quadrant . remains same .
Now , 
⇒
⇒ 
⇒ 
⇒
Therefore, .
Answer:
9900
Step-by-step explanation:
You start with 300, and add 300 32 times (once for every 3 months in 8 years).
First, distribute the 2.
2x+6=6+2x
These are the same, so therefore it is infinitely many, because whatever you plug in for x will work.
20% off means that now it costs 80% of original price
80% = 0.8
costs 80% of (means here times (*))original price
29.99*0.8≈23.99
10% off means that now it costs 90% of original price
90%=0.9
costs 90% of (means here times (*))original price
26*0.9=23.40
23.99>23.40,
so is
<span> 10% off the original price of $26 is cheaper</span>
