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3 years ago

I really need help please

Mathematics

1 answer:

morpeh [17]3 years ago

8 0

Step-by-step explanation:

GI = GI (common)

GJ=HI(given)

GH = JI(given)

so triangle GJL and triangle GHI are congruent by S.S.S axiom,

<J=<H (corresponding angle of congruent triangles are equal)

proved...

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What is 12,760,000 in scientific notation

nalin [4]

Answer:

12,760,000 in scientific notation

$1.2760000 \times {10}^{7}$

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3 years ago

Identify the vertex and the axis of symmetry for y=-(x+3)^2+1

Alex

Vertex
y = -(x + 3)² + 1
y = -(x + 3)(x + 3) + 1
y = -(x² + 3x + 3x + 9) + 1
y = -(x² + 6x + 9) + 1
y = -x² - 6x - 9 + 1
y = -x² - 6x - 8
-x² - 6x - 8 = 0
x = -(-6) +/- √((-6)² - 4(-1)(-8))
 2(-1)
x = 6 +/- √(36 - 32)
 -2
x = 6 +/- √(4)
 -2
x = 6 +/- 2
 -2
x = 6 + 2 x = 6 - 2
 -2 -2
x = 8 x = 4
 -2 -2
x = -4 x = -2
y = -x² - 6x - 8
y = -(-4)² - 6(-4) - 8
y = -(16) + 24 - 8
y = -16 + 24 - 8
y = 8 - 8
y = 0
(x, y) = (-4, 0)
or
y = -x² - 6x - 8
y = -(-2)² - 6(-2) - 8
y = -(4) + 12 - 8
y = -4 + 12 - 8
y = 8 - 8
y = 0
(x, y) = (-2, 0)

Axis of Symmetry
The axis of symmetry is equal to -3.

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4 years ago

A movie rental website charges $5.00 per membership and $1.25 per movie Maria has $24.75 this month spend on movie rentals. How

bearhunter [10]

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3 years ago

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3 years ago

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KATRIN_1 [288]

Answer:

20. AB = 42

21. BC = 28

22. AC = 70

23. BC = 20.4

24. FH = 48

25. DE = 10, EF = 10, DF = 20

Step-by-step explanation:

✍️Given:

AB = 2x + 7

BC = 28

AC = 4x,

20. Assuming B is between A and C, thus:

AB + BC = AC (Segment Addition Postulate)

2x + 7 + 28 = 4x (substitution)

Collect like terms

2x + 35 = 4x

35 = 4x - 2x

35 = 2x

Divide both side by 2

17.5 = x

AB = 2x + 7

Plug in the value of x

AB = 2(17.5) + 7 = 42

21. BC = 28 (given)

22. AC = 4x

Plug in the value of x

AC = 4(17.5) = 70

✍️Given:

AC = 35 and AB = 14.6.

Assuming B is between A and C, thus:

23. AB + BC = AC (Segment Addition Postulate)

14.6 + BC = 35 (Substitution)

Subtract 14.6 from each side

BC = 35 - 14.6

BC = 20.4

24. FH = 7x + 6

FG = 4x

GH = 24

FG + GH = FH (Segment Addition Postulate)

$4x + 24 = 7x + 6$ (substitution)

Collect like terms

$4x - 7x = -24 + 6$

$-3x = - 18$

Divide both sides by -3

$x = 6$

FH = 7x + 6

Plug in the value of x

FH = 7(6) + 6 = 48

25. DE = 5x, EF = 3x + 4

Given that E bisects DF, therefore,

DE = EF

5x = 3x + 4 (substitution)

Subtract 3x from each side

5x - 3x = 4

2x = 4

Divide both sides by 2

x = 2

DE = 5x

Plug in the value of x

DE = 5(2) = 10

EF = 3x + 4

Plug in the value of x

EF = 3(2) + 4 = 10

DF = DE + EF

DE = 10 + 10 (substitution)

DE = 20

4 0

3 years ago