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2 years ago

Determine if the triangles in the figure are congruent

Mathematics

1 answer:

valkas [14]2 years ago

6 0

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW ……….{Given}

VW ≅ YW ............{Given}

∠ VWU ≅ ∠ XWY …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW .….{ By Angle-Side-Angle congruence test}

......Proved

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A line has a slope of 5 and passes through the point (-1,2).

Andreyy89

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

$y$ - $y_{1}$ =m( $x-x_{1}$ )

Substitute the values in formula:

y-2=5(x+1) (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

<h3>If you need to ask any questions, please let me know.</h3>

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2 years ago

The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the pop

galben [10]

Answer:

The population of the town in 2020 will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r = 5%

Now, 5% of 10, 400 = $\frac{5}{100} \times 10, 400 = 520$

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = $\frac{5}{100} \times 10, 920 = 546$

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = $\frac{5}{100} \times 11,466 = 573.3$

or, the population in the year 2020 = 11,466 + 573.3 = 12,039.3

The population of the town in 2020 will approx. be 12,039.

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2 years ago

Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her frie

Y_Kistochka [10]

The expression to represent this would be (m-18)/k.

We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m. We then divide our result by k, the number of bracelets she made for her friends.

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3 years ago

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Serhud [2]

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3 years ago

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gulaghasi [49]

Answer:

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Step-by-step explanation:

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2 years ago

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