Answer:
x = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠CBD is an external angle of the triangle, thus
4x + 30 = 2x + 10 + x + 30, that is
4x + 30 = 3x + 40 ( subtract 3x from both sides )
x + 30 = 40 ( subtract 30 from both sides )
x = 10
Answer:
3) 5 centimeters
Step-by-step explanation:
Plug 3 and 4 into the formula for the Pythagorean Theorem. You get 5.
Answer:
The answer is the second choice.
y=2^x+2 + 2
Answer:
B) no, because the corresponding angles are not congruent
Step-by-step explanation:
Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.
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Answer: B. one-third
Step-by-step explanation:
Probability of picking a red marble, P(R) = 1/6
Probability of picking a yellow marble, P(Y) = 1/2
Therefore, the probability of picking a blue marble will be:
= 1 - (P(R) + P(Y))
= 1 - (1/6 + 1/2)
= 1 - (4/6).
= 1 - 2/3
= 1/3
The probability of picking a blue marble will be one third
