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kati45 [8]
2 years ago
5

Point M and N are midpoints of AB and DA respectively.

Mathematics
1 answer:
Fed [463]2 years ago
5 0
<span>triangle CDN ≅ triangle CBM
</span><span>
Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | 
by
</span><span>SAS</span>
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11/12​−6/1​q+6/5​q−3/1​, Combine like terms to create an equivalent expression.
Nikolay [14]

Answer: -\frac{25}{12} -\frac{24q}{5}

Step-by-step explanation:

\frac{11}{12} -\frac{6}{1} q+\frac{6}{5}q-\frac{3}{1}

\frac{11}{12} -6q+ \frac{6q}{5} -\frac{3}{1}

\frac{11}{12}-6q \frac{6q}{5} -3

(\frac{11}{12} -3)+(-6q+\frac{6q}{5} )

-\frac{25}{12}- \frac{24q}{5}

Simplify three times, collect like terms and simplify again, how to collect like terms see their differences and then put them into groups, for example I put all the numbers without variables on one side and all the numbers with variables on another.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

4 0
2 years ago
Read 2 more answers
The function C(t) below relates outside temperature in degrees Fahrenheit to the number of cricket chirps per minute. It takes a
vekshin1
T is a linear function of C  ==>  T = mC + b     Each additional chirp C corresponds to an increase in T of 0.25  ==>  m = 0.25    T = 52 when C = 20  ==>  52 = 0.25(20) + b  ==>  b = 52 - 5 = 47   So T = 0.25C + 47    When C = 100 then T = 0.25(100) + 47 = 25 + 47 = 72   When C = 120 then T = 0.25(120) + 47 = 30 + 47 = 77 so the temperature range is between 72 and 77 when there are between 100 and 120 chirps per minute 
3 0
2 years ago
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a marathon is 26.2 miles. If Sally ran a marathon in 3 hours 3 minutes what was her approximate pace in minutes?
Tom [10]

Let's turn 3 hours and 3 minutes into minutes.

One hour=60×3=180+3=183

So, there's 183 minutes in 3 hours and 3 minutes. We need to divide 26.2 miles by 183.

26.2÷183≈ 0.143

So, Sally ran 0.143 miles every minute.

7 0
2 years ago
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Jason wanted to place all 540 marbles in the 3 newly bought boxes. If he wants to
kotegsom [21]

Answer:

The first box will have 90 marbles, the second 180 and the third 270.

Step-by-step explanation:

Division in a ratio of 1:2:3

1 + 2 + 3 = 6

So

The first box will have 1/6 of the marbles.

The second box will have 2/6 = 1/3 of the marbles

The third box will have 3/6 = 1/2 of the marbles.

First box:

One sixth, so:

(1/6)*540 = 540/6 = 90

Second box:

One third, so:

(1/3)*540 = 540/3 = 180

Third box:

One half, so:

(1/2)*540 = 540/2 = 270

The first box will have 90 marbles, the second 180 and the third 270.

7 0
2 years ago
Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark
Mazyrski [523]

Answer:

6^2

Step-by-step explanation:

The square root of a perfect square is a rational number.

So let us take the square root of each number to see which is a rational number.

\sqrt{6^1}=\sqrt{6}......irrational

\sqrt{6^2}=6......rational

\sqrt{6^3}=6\sqrt{6}.........irrational

\sqrt{6^5}=36 \sqrt{6}irrational.

Therefore 6^2 is a perfect square

3 0
2 years ago
Read 2 more answers
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