Answer:
80°
Step-by-step explanation:
The sum of the two angles (red and blue) is 145°, so you have ...
(4x +5)° +(6x -10)° = 145°
10x = 150 . . . . . . . . divide by °, add 5, simplify
x = 15 . . . . . . . . . . . divide by 10
Then the measure of the angle of interest is ...
m∠XMN = (6x -10)° = (6·15 -10)° = 80°
Answer:
y=x+1
Step-by-step explanation:
As you can see, the slope is clearly 1 and the line starts at (0, 1), which is its y-intercept.
Plug the variables into this formula: y=mx+b, then you will get y=x+1.
Answer:
The minutes wouldn't it be hours?
Step-by-step explanation:
Answer:
x = ± 13
Step-by-step explanation:
Given
x² = 169 ( take the square root of both sides )
x = ± 
= ± 13
Since 13 × 13 = 169 and - 13× - 13 = 169
Problem 1
<h3>Answer: 2/5</h3>
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Explanation:
There are 4 green blocks out of 4+6 = 10 total. We divide the number of green over the number total to get the answer. Reduce the fraction as much as possible. The fraction 4/10 reduces to 2/5 (we divide both parts by 2).
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Problem 2
<h3>Answer: 1/6</h3>
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Explanation:
The probability the spinner lands on red is 2/6 = 1/3. This is because there are 2 spaces that are red out of 6 total. It helps to reduce as much as possible.
The probability the coin lands on heads is 1/2 because there's 1 side labeled heads out of 2 total.
Multiply the fractions: 1/3 * 1/2 = 1/6
This works because both events are independent.
