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jarptica [38.1K]

3 years ago

15

Substitution system of equations How do I solve this?

1 answer:

Fantom [35]3 years ago

7 0

Answer:

x=-6

Y=4

Step-by-step explanation:

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in 2006 ,the enrollment at jefferson high school was 1,200 students in 2012 the enrollment at jefferson high school was 1,650 st

Usimov [2.4K]

1650 - 1200 = 450
What percent is 450 of 1200?
y = 450/1200
y = 0.375
37.5% increase

3 0

3 years ago

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If a polygon is a pentagon, then it has 5 sides hypothesis conclusion

quester [9]

Answer:

Hypothesis

Step-by-step explanation:

a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.

hope this helps

8 0

3 years ago

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Agata [3.3K]

Answer:

$\frac{5x^{2} }{12}$

Step-by-step explanation:

Given: Height: x

Base: $\frac{5x}{6}$

Now, finding the area of triangle.

Formula; Area of triangle= $\frac{1}{2} \times base\times height$

⇒ Area of triangle= $\frac{1}{2}\times \frac{5x}{6} \times x$

⇒ Area of triangle= $\frac{5x^{2} }{12}$

Hence, area of triangle= $\frac{5x^{2} }{12}$

4 0

3 years ago

82 tens is the same as what?

Feliz [49]

82 tens in the same thing as 820 because if you multiply 82 by 10 you get 820

8 0

3 years ago

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In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the

Butoxors [25]

Answer:

The length of the angle bisector of angle ∠A is 6.01.

Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

$(AB)^2=(BC)^2+(AC)^2$

$(13)^2=(BC)^2+(5)^2$

$169=(BC)^2+25$

$BC=12$

$\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin A=\frac{BC}{AB}$

$A=\sin ^{-1}\frac{12}{13}$

$A=67.38$

Bisector divides the angle in two equal parts, therefore,

$A'=\frac{67.38}{2} =33.69$

In triangle ACD.

$\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}$

$\cos A'=\frac{AC}{AD}$

$\cos (33.69^{\circ})=\frac{5}{AD}$

$0.832=\frac{5}{AD}$

$AD=\frac{5}{0.832} =6.009\approx 6.01$

Therefore the length of the angle bisector of angle ∠A is 6.01.

4 0

3 years ago