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11Alexandr11 [23.1K]
4 years ago
12

What is the value of a ?

Mathematics
1 answer:
Vika [28.1K]4 years ago
7 0

Since these angles are vertical they are equal to one another. So we can write 6a + 10 = 3a + 55. To solve we subtract 3a from both sides and we get:

3a + 10 = 55, then we subtract 10 from each side: 3a = 45 and finally we divide both sides by 3 and get a = 15. Now that we know a we can plug it into one of the angles and just solve the statement. 6(15)+10 which gives us 100 for the measure of the angle.

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When ringing up a customer, a cashier needs 30 seconds to process payment as well as 3 seconds to scan each item being purchased
Allushta [10]
Say x = the number of items being purchased. Then we can write the equation, using seconds:

3x + 16 = 136

(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)

Subtract 16 from each side. Then divide both sides by 3.
5 0
3 years ago
One third of the difference of 20 and 2 <br> 1/3 x (20-2)
Alchen [17]
ANSWER:
6

Explanation:
20-2 = 18
1/3 = 0.33333 (3 repeating)
1/3 x 18 = 6
4 0
3 years ago
What is the maximum number of possible solutions for the system shown below?
vekshin1

Answer:

B:  4 solutions

Step-by-step explanation:

Combining the two equations results in 2x² = 52, or x² = 26.

This equation has two solutions:  x = ±√26.

As before, x² = 26.  If we substitute 26 for x² in the 1st equation, we get:

26 - 4y² = 16, or 4y² = 10, or y = ±√5/2.  Again:  two solutions.

If we take x to be +√26, y could be ±√(5/2).

Check:  is ( √26, √(5/2) ) a solution of the system?

Subbing these values into the first equation, we get:

26 - 4(5/2) = 16.  Is this true?

Then 10 = 10.  Yes.

Through three more checks, we find that this system has FOUR solutions.

5 0
3 years ago
Evaluate expressions 8+7×5=
ryzh [129]
8 + 7x5 = 8 + 35 = 43;
7 0
4 years ago
Read 2 more answers
Given: ΔABC is a right triangle.
djverab [1.8K]

The property that is not a justification for the proof is: B. addition property of equality.

<h3>What is the Addition Property of Equality?</h3>

According to the addition property of equality, if a - b = c, then a - b + b = c + b, which is: a = c + b.

In the proof given, there is no single statement that shows that we are adding a figure or variable to both sides of any equation, therefore, the justification that is not part of the proof is: addition property of equality.

Learn more about addition property of equality on:

brainly.com/question/1542520

#SPJ1

8 0
2 years ago
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