Answer:
93
Step-by-step explanation:
63 - (-30) = 63+30=93
Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be <em>x </em>and <em>y</em>, where <em>y</em> is the larger of the two numbers.
Since <em>y</em> is the larger number, it is one more than the smaller number. So:

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

Substitute:

Solve for <em>x</em>. Square:

Simplify:

Subtract one from both sides:

And take the square root of both sides:

Since <em>y</em> is positive, we can ignore the negative case. So, the smaller number is:

And the larger number is:

Answer:
3) B
4) D
5) C
Step-by-step explanation:
3) Slope is before X
4) Set equal to Y
5) Use rise over run to find slope then find y intercept
The statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK. Option B and E
<h3>How to determine the statements</h3>
Ray NL creates two angles in the lower right quadrant.
The two angles created form a total of 90°, so the two angles formed are complementary. The relation is given as;
∠MNL + ∠KNL = ∠MNK = 90°
Hence ∠MNL and ∠KNL are complementary
∠GNM and ∠JNK are both right angles (and also vertical angles). They sum up to180°. They can be said to be supplementary.
∠GNM and ∠JNK are supplementary
Thus, the statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK
Learn more about supplementary angles here:
brainly.com/question/2046046
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Answer:
$16.
Step-by-step explanation:
Let t represent the cost of each tree.
We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.
We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be 
The total cost of purchasing 8 trees will be
.
Since the total cost of the trees including the delivery was $168, so we can get an equation as:



Upon dividing both sides of our given equation by 8, we will get:
Therefore, the cost of each tree is $16.