If your exercise goal is to improve your overall health and reduce your risk of heart attack, you should maintain your target heart rate (h) within the range specified by the formulas given below
lower limit of range h = 1/2 (220-a)
upper limit of range h= 3/5 (220-a)
(where a is your age)
what is the lower limit of the heart range, in beats per minute for a 27 year old?
what is the upper limit of the heart range in beats per minute of a 27 year old?

The lower limit of the heart range, in beats per minute for a 27 year old is:  H = 96 beats per minute.

The upper limit of the heart range in beats per minute of a 27 year old is:

H = 116 beats per minute

Step by step explanation

We know the formulas for the limits of the heart range.

This formula is:

Lower Limit of Range

Upper Limit of Range

Where H is given in beats per minute and "a" is the person's age in years.  

So if we want to calculate the limits for a person of 27 years of age we must replace in the formula.

Lower Limit of Range

Lower Limit of Range H = 96 beats per minute.

Now we calculate the upper limit

Upper Limit of Range

Upper Limit of Range H = 116 beats per minute

Answer with step-by-step explanation:

We are given the following range for maintaining the heart rate:

Lower Limit of Range H = 1/2 (220-a)

Upper Limit of Range H= 3/5 (220-a)

We are to find the lower and upper limit of the heart range for a 27 year old.

Lower Limit of Range H = 1/2 (220-27)  = 96.5 = 96 beats per minute

Upper Limit of Range H = 3/5 (220-27) = 115.8 = 116 beats per minute

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

∡ eia and ∡ kij are congruent

step-by-step explanation: