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Leno4ka [110]
2 years ago
10

Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF Prove: m∠ABC = m∠GHI We are given that angle ABC and are congruent, and that angle GHI and an

gle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .
Mathematics
1 answer:
evablogger [386]2 years ago
6 0

1. Angle DEF

2. Definition of congruent angles

3. The measure of angle GHI

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Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val
mrs_skeptik [129]

Answer:

3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.

Hence |x| can either return +x or -x

If x is positive, the inequality expression will be x<4.

If the value of x is negative, then -x<4

From -x<4

Multiply both sides by minus sign will change the sense of the inequality sign.

-(-x) > -4

x>-4

If x is greater than -4, then -4<x.

Combining both inequality will give;

-4 < x and x<4

-4<x<4

Hence the possible values of Javier's number are integers between -4 and 4.

The values are -3, -2, -1, 0, 1, 2, 3.

4 0
2 years ago
If AD=20 and AC=3x+4, find the value of x. Then find AC and DC.<br><br> I don't understand.
Fofino [41]
<span>Using the information we have 3x+4=40 Do the same to each side of the equation to eliminate for x. 3x+4=40 Minus 4 from each side 3x=40-4 3x=36 Divide 3 from each side x=36/3 x=12 AC=3x+4 insert the value of x 3(12)+4=40 AC=40 AD=20</span>
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2 years ago
What is the decibel level of the sound of a ticking clock with intensity 10−9 watts per square inch? Use a logarithmic model to
In-s [12.5K]

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

\beta=10\log (\dfrac{I}{I_o})

I is intensity of the sound of a ticking clock

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Since, 1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2

The intensity of a monster truck is converted into per square meter as follows:  

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So, Decibal level is :

\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

7 0
2 years ago
Read 2 more answers
Se the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x2
zalisa [80]

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2 years ago
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kaheart [24]

Answer: C the price of a water bottle

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5 0
2 years ago
Read 2 more answers
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