57.296 degrees, so welcome
Given that m∠ABH > m∠GHB, the inequality that relates AH and GB based on the <em>relationship between the angles and sides</em> of a triangle is: AH > BG.
<em><u>Recall:</u></em>
- The relationship between the <em>sides and angles</em> of a triangle is such that the size of an angle is <em>relative </em>to the length of the side it is directly opposite to.
- This means, the biggest angle measure will be opposite to the longest side, and vice versa in the triangle.
<em>Given the image attached below where,</em>
m∠ABH > m∠GHB
∠ABH is directly opposite side AH
∠GHB is directly opposite to side GB
- Since m∠ABH > m∠GHB, the inequality that relates AH and GB based on the <em>relationship between the angles and sides</em> of a triangle is: AH > BG.
Learn more about sides and angles of a triangle on:
brainly.com/question/24134307
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
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Explanation:
A number is divisible by 6 if both of the following are true
- The number is divisible by 2
- The number is divisible by 3
This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
- To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are.
- To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is <u>not</u> a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.
Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
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In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.
Answer:
Step-by-step explanation:
The given expression is .
We expand to obtain:
.
We apply the distributive property to get:
.
Group and combine the like terms;
.
.
This polynomial expression is in standard form because it is descending powers of x.