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Paul [167]
4 years ago
6

Make a flowchart showing that the triangles below are congruent​

Mathematics
1 answer:
Akimi4 [234]4 years ago
8 0

Explanation:

It isn't clear what the elements of your flowchart are supposed to look like. In general, the proof would go like this:

1. List the "givens": PQ=6=TS; ∠P=120°=∠T; ∠PRQ and ∠TRS are vertical angles.

2. Note that the vertical angles are congruent

3. Claim ΔPRQ ≅ ΔTRS by the AAS congruence postulate since two corresponding adjacent angles and the corresponding sides not between them have been shown to be congruent.

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Resolving inequalities 6/5x-12<2-3/2x
Anna007 [38]

Answer:  x < \frac{140}{27}

<u>Step-by-step explanation:</u>

\frac{6}{5}x - 12 < 2 - \frac{3}{2}x

10(\frac{6}{5}x - 12) < 10(2 - \frac{3}{2}x)

2(6)x - 10(12) < 10(2) - 5(3)x

 12x  -   120  <   20  -  15x

<u> +15x             </u>     <u>        +15x </u>      

 27x   - 120  <   20

<u>          +120 </u>    <u>+120</u>

27x              <  140

            \frac{27x}{27} < \frac{140}{27}

              x < \frac{140}{27}

3 0
4 years ago
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
Dvinal [7]
We can use these variables:

A = number of ounces for solution A
B = Number of ounces for solution B

A + B = 20

Now, we can use decimal conversions.

0.65A + 0.80B = 0.70(120)

Next step: We substitute A into 120 - B to show their relationship.

0.65(120 - B) + 0.80B = 84

Now onto the next equation:

78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…

0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces

To find A, we can simply plug B into the starting equation.

A = 120 - 40
A = 60 ounces

Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah

6 0
2 years ago
Simplify the following (the 7^5)^3
liq [111]

Answer:

(7∧5)∧3

=16807∧3

4.74756151×10^12

8 0
4 years ago
Please help me with this homework
Andru [333]

Answer: $3.60

Step-by-step explanation:

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3 years ago
Which equations listed below contain like terms?
Marianna [84]

Answer:

B

Step-by-step explanation:

14p and 3p have the same variable

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3 years ago
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