The king of hearts in cards
Add all those numbers and divide by 6 will get you 78
Answer:
x = 8
Step-by-step explanation:
-10x+6=-74
-10x=-74-6
-10x=-80
x=-80/-10
x=8
Step-by-step explanation:
a. Given => <em>m</em>∠5 = 40°
b. Given => <em>m</em>∠2 = 140°
c. Same Side Interior Angle Theorem => The same side interior angles must add up to 180°, which in this case, it does. m∠4 and m∠2 are alternate interior angles, and so there measurements are the same. 180 - 140 = 40
d. Both angles are part of the "same-side interior angles", which means that there measurements should add up to 180°. Note that m∠5 = 40°, and m∠2 = 140° (Given). Set the equation
m∠5 + m∠2 = 180
Plug in the number for each angle
40 + 140 = 180
180 = 180 (True).
e. It is proven that the above measurements are congruent with their corresponding parts. This means that a || b through <em>Converse of Same Side Interior angle Theorem</em>.
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Answer:
By using The Pythagorean Theorem:

/Hypotenuse/ = 
Step-by-step explanation:
The Pythagorean theorem states that: Given a Right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides ( Here, being the length of the altitude and length of leg). That is,
and hence,
/Hypotenuse/ = 
For example, If the length of the altitude is 4m and the length of leg is 3m. Using The Pythagorean theorem, the length of the hypotenuse will be


The length of the hypotenuse for the given example will be 5m.
This is how to find the length of an hypotenuse.