Since angles 3 and 4 are supplementary, they add up to 180 degrees.
Angle 3 is 88 degrees.
To get the measure of the last angle, let's subtract 88 from 180.
180 - 88 = 92
Thus, Angle 4 has a measure of 92 degrees.
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Answer:
c. 3 / 13
d. 2 / 13
Step-by-step explanation:
c.
A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.
So, there are 52/4= 13 cards of each suit.
Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.
So, the number of total picture cards = 4*3 = 12
the number of cards are 52
theoretical probability formula: P = favorable events/ possible events
P = 12 / 52
P = 3 / 13
d.
there are four aces and four sevens in the deck
so favorable events = 4 + 4 = 8
possible eventas = 52
P = 8 / 52
P = 2 / 13
ANSWER
80 units²
EXPLANATION
One way to solve this is to find the area of the blue square and the subtract the areas of the red triangles:
The blue square is 12 units long by 12 units wide. Its area is:

Then, the area of the big triangle, which has a base 12 units long and a height of 10 units, is:

The smaller triangle has a base of 4 units and a heigth of 2 units. Its area is:

So the total area of the figure is:
Answer:
Complementary angles sum to 90°.
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