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Mice21 [21]
3 years ago
12

Write the definition of Congruent Segmentsas a Biconditional Statement.​

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer:

A bi conditional statement is a combination of a conditional statement and its converse written in the if and only if form. Two line segments are congruent if and only if they are of equal length

Step-by-step explanation:

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The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
kondaur [170]
10x+y-the\ number\\\\  \left\{\begin{array}{ccc}x+y=7\\10y+x=10x+y+9\end{array}\right
3 0
2 years ago
Read 2 more answers
Solve 270=3e^2.4K to the nearest hundredth
mojhsa [17]

Given:

The equation is:

270=3e^{2.4K}

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

270=3e^{2.4K}

Divide both sides by 3.

\dfrac{270}{3}=e^{2.4K}

90=e^{2.4K}

Taking ln on both sides, we get

\ln (90)=\ln e^{2.4K}

\ln (90)=2.4K                  [\because \ln e^x=x]

Divide both sides by 2.4.

\dfrac{\ln (90)}{2.4}=K

\dfrac{4.4998}{2.4}=K           [\because \ln (90)\approx 4.4998]

1.874916667=K

Round the value to the nearest hundredth (two decimal place)

K\approx 1.87

Therefore, the value of K is 1.87.

8 0
3 years ago
5 7\10 × 7 4\16=????? I'm trash with multypliing ​
-BARSIC- [3]

9514 1404 393

Answer:

  41 13/40

Step-by-step explanation:

Generally, you're told to multiply mixed numbers by converting each to an improper fraction:

  5 7/10 = (5·10 +7)/10 = 57/10

  7 4/16 = (7·16 +4)/16 = 116/16

The fractions are multiplied by multiplying their numerators to get the numerator of the result, and multiplying their denominators to get the denominator of the result.

  (5\frac{7}{10})(7\frac{4}{16})=\dfrac{57}{10}\cdot\dfrac{116}{16}=\dfrac{57\cdot116}{10\cdot16}=\dfrac{6612}{160}\\\\=41+\dfrac{52}{160}=\boxed{41\frac{13}{40}}

__

You don't have to mess with reducing the fraction of the result if you reduce the fraction 4/16 to 1/4 to begin with. Then the product is (57/10)(29/4).

_____

<em>Alternate solution</em>

You can also treat this as the product of two sums. The distributive property is handy for this.

  (5 + 7/10)(7 + 1/4) = (5)(7) +(5)(1/4) +(7/10)(7) +(7/10)(1/4)

  = 35 +5/4 +49/10 +7/40

  = 35 +1 +1/4 + 4 + 9/10 + 7/40 . . . . take out the integer parts

  = 40 +10/40 +36/40 +7/40 . . . . . . use 40 as a common denominator

  = 40 +53/40 = 41 13/40

3 0
2 years ago
Read 2 more answers
What ia the equation for 1+ 1 x 3-2​
harina [27]

Answer:

=3x+−1

Step-by-step explanation:

1+1x(3)−2

=1+3x+−2

=1+3x+−2

=(3x)+(1+−2)

=3x+−1

8 0
3 years ago
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Helppppppppp pleaseeeeeeeeeeeeeeeeeeeee
DENIUS [597]

Answer:

3

Step-by-step explanation:

1/4 < 3/4

The lines are split into 4 parts

Point A is at 1/4 and Point B is at 3/4

A is less than B

4 0
2 years ago
Read 2 more answers
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