Answer:
Step-by-step explanation:
<u>Given information</u>
∡ 1 = 90°
∡ 2 = 50°
∡ 3 = x°
Total Angle = 180° <em>(Triangle angle sum theorem)</em>
<u>Given formula</u>
∡ 1 + ∡ 2 + ∡ 3 = Total Angle
<u>Substitute values into the formula</u>
(90) + (50) + (x) = (180)
<u>Combine like terms</u>
140 + x = 180
<u>Subtract 140 on both sides</u>
140 + x - 140 = 180 - 140
Hope this helps!! :)
Please let me know if you have any questions
We are given : -3(4-6x) < x+5.
Solution: -3 is in front of Parenthesis.
We need to multiply -3 by (4-6x).
So, we need to applying distributive property.
On distributing, we get
-12+18x < x+5 (By distributive property)
The reverse operation of addition is subtraction. So we need to subtract x from both sides, we get
-12+18x-x < x-x+5 (By subtraction property of equality).
-12+17x < 5
Now, we need to get rid -12 from left side.
So, we need to apply addition property of equality, we need to add 12 on both sides, we get
-12+12+18x < x+5+12 (By addition property of equality)
17x < 17
We need to get rid 17 from left side. So we need to apply division property of equality.
On dividing both sides by 17, we get
17x/17 < 17/17 (By division property of equality)
x < 1.
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For this problem,we use the Fundamental Counting Principle. You know that there are 7 digits in a number. In this principle, you have to multiply the possible numbers for every digit. If the first number cannot be zero, then there are 9 possible numbers. So, the value for the first digit is 9. The second digit could be any number but less of 1 because it was used in the 1st digit. So, that would be 10 - 1 = 9. The third digit must be the value in the second digit less than 1. That would be 9 - 1 = 8. And so on and so forth. The solution would be:
9×9×8×7×6×5×4 = 544,320 7-digit numbers
C) 30 * IQR is the box. So the highest point on the box is 95 and the lowest is 65, which makes the difference 30. I hope this helped!!