The given triangles are congruent by :
- ASA criterion
because they have Two Angles and a side between them equal to the corresponding Angles and side of the another triangle.
Ralph is an electrician. He charges an initial fee of $32, plus $33 per hour. If Ralph earned an $197 on a job, how long did the
2 answers:
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Answer:
General Formulas and Concepts:
<u>Algebra I</u>
Basic Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Solve for </u><u><em>k</em></u>
We can use equality properties to help us rewrite the equation to get <em>k</em> as our subject:
Let's first <em>square both sides</em>:
Next, <em>add p to both sides</em>:
Next, <em>divide 4t by both sides</em>:
We can rewrite the new equation by swapping sides to obtain our final expression:
∴ we have <em>changed</em> the subject of the formula.
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Learn more about Algebra I: brainly.com/question/27698547
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Topic: Algebra I
Answer:
D
Step-by-step explanation:
<em>The statements are shown below:</em>
<em>A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2. </em>
<em>B) She used the wrong number as a repeated factor and should have evaluated -(8x8). </em>
<em>C) She misinterpreted the exponential form and should have multiplied -2 and 8. </em>
<em>D) She made a sign error when multiplying and should have had 256 as a final answer.</em>
<em />
<u>Solution:</u>
<u />
The problem to simplify is:
Haley's steps are shown below:
Generally,
is actually "a" multiplied "b" times.
So, Haley wrote "-2" eight times multiplied together. That is okay.
Now,
We are dealing with negative numbers.
- When negative numbers are multiplied "odd" number of times, the answer is negative.
- When negative numbers are multiplied "even" number of times, the answer is positive.
Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.
Haley's error is:
Answer choice D
Answer: The total costumers were surveyed = 500
Step-by-step explanation:
Let x = total costumers were surveyed.
Given : 125 people chose chocolate as their favorite flavor, which represents 25% of the costumers surveyed.
25% of x = 125
Hence, the total costumers were surveyed = 500
Answer:
Step-by-step explanation:
The greatest GCF is 5 because 5 goes into 15, and 10. Therefor, the answer would be 2/3.
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