The sum of the interior angles of a triangle is 180 degrees.
1.) Translating the problem into equation:
7:11:12 = 180 degrees
7x+11x+12x = 180 degrees; Where x = missing number
30x = 180
30x/30 = 180/30 divide both sides by 30
x = 6
2.) Substitute the values:
7x+11x+12x = 180
7(6)+11(6)+12(6) = 180
42+66+72 = 180
180 = 180
3.) Therefore, the angles should be 42 degrees, 66 degrees and 72 degrees.
4.) See attached drawing of triangle
Answer:
0 Oranges
Step-by-step explanation:
If you had 2 oranges at the start, then your no good friend Bernice took 2 of them, you don't have any oranges left, so get back at him and steal his bannanas! That'll teach him!
Answer:
(2, 6)
Step-by-step explanation:
Point G has a coordinate of x = 5, and y = 4, that is (5, 4).
If Lynn plots point G, such that:
G is 3 units to the left of point F, the x-coordinate of point G = 5 - 3 = 2
G is 2 units above point F, the y-coordinate of point G = 4 + 2 = 6.
Therefore, Lynn plotted point G at x = 2, and y = 6. Which is (2, 6)
Answer:
3. 63°
4. x = 13
Step-by-step explanation:
3. The exterior angle is equal to the sum of the opposite interior angles.
118° = (4x +7)° + (6x -9)°
120 = 10x . . . . . . . . . divide by °, add 2
12 = x
m∠K = (6x -9)° = (6·12 -9)°
m∠K = 63°
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4. Corresponding angles are congruent, and the sum of angles in a triangle is 180°.
74° + (5x)° + (3x+2)° = 180°
8x = 104 . . . . . . . . . . . . . . . divide by °, subtract 76
x = 13 . . . . . . . . . . . . . . . . . .divide by 8
Answer:
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of grabbing a nickel:
19 nickels out of 17+10+19+23 = 69 coins, so:
Probability of grabbing a penny, considering the first coin grabbed was a nickel:
17 pennies out of 68 coins. So
What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?
0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.
