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Reika [66]
2 years ago
10

[31pts and brainliest] What is the measurement of angle Z and why?

Mathematics
1 answer:
Elan Coil [88]2 years ago
7 0

Answer:

the measure of angle Z is 104

Step-by-step explanation:

the angle z and 76 form a suplementary angle, which they add up to 180.

To find angle z, just subtract 76 from 180.

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Find the solution of this system of equations?<br><br> -8x-6y=60<br><br> 5x+6y=-69
zvonat [6]
First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5
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3 years ago
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The standard form of the equation for a quadratic function is, with he vertex of the graph of the function at the point (p,q). t
ludmilkaskok [199]

Answer:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Step-by-step explanation:

y = a (x − x₁) (x − x₂)

Expand:

y = a (x² − x₁x − x₂x + x₁x₂)

y = a (x² − (x₁ + x₂)x + x₁x₂)

Distribute a to the first two terms:

y = a (x² − (x₁ + x₂)x) + ax₁x₂

Complete the square:

y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²

y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)

Therefore:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

3 0
3 years ago
Farmer Jonson is putting together vegetable baskets. He has 270 carrots and 180 beets. What is the largest number of baskets he
Nostrana [21]
Factors of 180:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.


Factors of 270:

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.


What are the factors of both 270 and 180?

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Which one of these would give us the greatest amount of baskets possible?

Answer: 90 baskets.

I hope this helped you! c:
4 0
3 years ago
#2 is the one I need help with
sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

9x = 360°

x = 360°/9

x = 40°

3x = 3* 40° = 120°

By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

By tangent secant theorem:

m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

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3 years ago
Real life example of plane in geometry
Molodets [167]

Answer: piece of paper or a door

Step-by-step explanation:

5 0
3 years ago
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