All you need to do for angles like GBH is work out the angle at point B. With questions like this, work out the angle at the letter in the middle.
Step-by-step explanation:
50words-1 minute
500words- x minute
500÷50=10
The measure of angle KEI is 56° ⇒ answer C
Step-by-step explanation:
In any kite:
1. The intersection of the diagonals of a kite form 90 degree (right) angles
2. Its diagonals are perpendicular
3. The longer diagonal of a kite bisects the shorter one
In Kite KITE
∵ Its two diagonals intersect at point P
∴ KT⊥ IE
∴ m∠KPE = 90°
In ΔKPE
∵ m∠KPE + m∠PEK + m∠PKE = 180° ⇒ interior angles of a triangle
∵ m∠KPE = 90°
∠TKE is the ∠PKE because P ∈ TK
∠IEK is the ∠PEK because P ∈ IE
∵ m∠TKE = (x + 6)°
∴ m∠PKE = (x + 6)°
∵ m∠IEK = (2x)°
∴ m∠PEK = (2x)°
- Substitute the measures of the angles in the rule above
∴ 90 + (2x) + (x + 6) = 180
∴ 90 + 2x + x + 6 = 180
- add like terms in the left hand side
∴ 96 + 3x = 180
- Subtract both sides by 96
∴ 3x = 84
- Divide both sides by 84
∴ x = 28
∵ m∠KEI = (2x)°
∵ x = 28
∴ m∠KEI = 2(28)
∴ m∠KEI = 56°
The measure of angle KEI is 56°
Learn more:
You can learn more about perpendicular sides in brainly.com/question/3617539
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depth of water is proportional to time
d = k*t
<span>d = 7/2 * t </span>
<span>a) the point (2,28) represents the rate 28/8 </span>
b) 3.5 cm/sec
<span>c) the slope between (8, 28) and (6, 21) is 7/2 = 3.5</span>
