There’s an error with the 9, it should be -9. But the correct response to write in the green box is -1. Hope this helped.
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Similarities found
each triangle must be a right triangle
the diameter of each circle must be the hypotenus of each triangle
there is a right angle (90°) for each triangle
9514 1404 393
Answer:
x = 28
Step-by-step explanation:
The marked angles are supplementary, so you have ...
(3x +10) +(3x +2) = 180
6x +12 = 180 . . . . . . . . . . simplify
x +2 = 30 . . . . . . . . divide by 6
x = 28 . . . . . . . subtract 2
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<em>Additional comment</em>
You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.
The obtuse angle (on the left) is 94°; the acute angle is 86°.
Answer:
Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.
Step-by-step explanation:
For the odds of these two numbers coming up at the same time, you multiply the odds of one times the odds of the other. 5/6 × 1/6 = 5/36. So the odds that you'll roll 2 dice total six are 5/36 each time you roll ( or approximately 1 chance in 7).