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guapka [62]
3 years ago
12

*Will give brainliest!*

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

Linear Pair Theorem

m∠2

∠3

definition of congruent angles

Step-by-step explanation:

1. ∠1 and ∠2 form a linear pair of angles, so ∠1 and ∠2 are supplementary by the Linear Pair Theorem.

2. Therefore, m∠1 + m∠2 = 180°, by  the definition of supplementary angles.

3. It is given that ∠2 ≅ ∠3, so m∠2 = m∠3 by the definition of congruent angles.

4. By substitution, m ∠1 + m∠3 = 180°, so ∠1 and ∠3 are supplementary by the definition of supplementary angles.

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1. Which are true of x = log10 31,500? Select all that apply.
ziro4ka [17]

Given:

x=\log_{10}31,500

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

x=\log_{10}31,500

It can be written as

x=\log_{10}(2^23^25^37)

x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)     [\because \log(ab)=\log a+\log b]

x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)

x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451

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4 0
3 years ago
The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long
torisob [31]

Answer:

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Step-by-step explanation:

Note that you have a right triangle here, with hypotenuse 13 ft, and base 5 ft.  Using the Pythagorean Theorem, we find the height of the upper tip of the ladder as follows:

(13 ft)^2 = y^2 + (5 ft)^2.  Then y^2 = 144 ft^2, and y =height= 12 ft

6 0
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What fraction is equivalent to 80%
Gnesinka [82]
Percent means parts out of 100
80%=80/100=8/10=4/5
8 0
3 years ago
Read 2 more answers
The sum of 25 and z what’s the answer??
Rzqust [24]

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Step-by-step explanation:since your adding them

7 0
4 years ago
Select the correct answer.
dolphi86 [110]

Answer:

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5 0
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