M/IGJ will equal 52 degrees.
Since EGF is 90 degrees then and EGD equals 38 degrees you need to subtract 38 from 90 and you are left with 52 degrees for angle FGD. The alternate interior angle to FGD is IGJ which would make the angles congruent.
Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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ANSWER
EXPLANATION
We want to find the value of a for which the binomial, 2a-1 is smaller than the value of the binomial 7-1.2a by 7.
This means that, when we subtract 2a-1 from 7-1.2a, we should get 7.
Expand:
Group similar terms:
Divide both sides by -3.2,
Answer:
8^10
Step-by-step explanation:
Keep it as in power form. Note that the base is the same (8).
When the case is that the base is the same:
If multiplying, add the powers together.
If dividing, subtract the powers.
8^6 * 8^4 = 8^(6 + 4) = 8^10
8^10 is your answer.
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