Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
1 answer:
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to
sq. units.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to
You might be interested in
Answer:
The percent error of Heather's calculation is <u>8%</u>.
Step-by-step explanation:
Given:
Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit.
Now, to find the percent error of Heather's calculation.
The temperature of coffee Heather measures = 133.4° F.
Coffee's actual temperature = 145° F.
So, to get the measurement in error we subtract the temperature of coffee Heather measures from coffee's actual temperature:
Now, to get the percent error:
Therefore, the percent error of Heather's calculation is 8%.
Answer:
August made the recipe using the correct ratios
Step-by-step explanation:
we know that
Sally uses 6 cups of lemonade for every 8 cups of fruit punch
so
using proportion
Find out the number of cups of fruit punch for 15 cups of lemonade
Let
x ----> the cups of fruit punch
The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch
so
therefore
August made the recipe using the correct ratios