(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°
If the number k is greater than 3, we have the following inequality:
In order to evaluate k/3, let's divide the inequality by 3:
So the expression k/3 is greater than 1, therefore the correct option is D.
Answer:
x= -2/3 y+4
Step-by-step explanation:
Let's solve for x.
3x+2y=12
Step 1: Add -2y to both sides.
3x+2y+−2y=12+−2y
3x=−2y+12
Step 2: Divide both sides by 3.
3x
3
=
−2y+12
3
Each row has two more boxes than the row above. The first row has one box
The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
The sum of n terms is
Answer:
The table will have the following:
Row Number: 1 2 3 4 5 6
Boxes in the row: 1 3 5 7 9 11
Total boxes in the display: 1 4 9 16 25 36
The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.
<h3>How to illustrate the information?</h3>
Fron the information given, the equation will be:
s + 4g = 13
s + 8g = 23
4g = 10
g = 2.5
Therefore, the price of each game is $2.5
The price of shoe rental will be:
s + 4g = 13
s + 4(2.50) = 13
s = 13 - 10.
s = 3
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