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larisa86 [58]
3 years ago
6

Given 1 = 123° and 8 = 7z + 11. What is the value of z, if lines a and b are parallel?

Mathematics
2 answers:
Murljashka [212]3 years ago
7 0

Answer:

z = 16

Step-by-step explanation:

Since a and b are parallel lines, then

∠ 1 and ∠ 8 are Alternate exterior angles and are congruent, thus

7z + 11 = 123 ( subtract 11 from both sides )

7z = 112 ( divide both sides by 7 )

z = 16

Serga [27]3 years ago
3 0

Answer:

z=16

Step-by-step explanation:

We know for sure that since A and B are parallel that 1, 4, 5, and 8 are equal.

So then the equation is simply 123=7z+11---> 7z=112----> z=16

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Step-by-step explanation:

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3 years ago
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Please show work
cluponka [151]

Answer:

34.2 m

Step-by-step explanation:

We know that

Area of parallelogram = Base × Height

690.84 = B × 20.2

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2 years ago
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2. Mourette is a member of her high school golf team. She hits a golf ball
Llana [10]

Answer:

a. h = 60t − 4.9t²

b. 12.2 seconds

c. 183.7 meters

Step-by-step explanation:

a. Given:

y₀ = 0 m

v₀ = 60 m/s

a = -9.8 m/s²

y = y₀ + v₀ t + ½ at²

h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²

h = 60t − 4.9t²

b. When the ball lands, h = 0.

0 = 60t − 4.9t²

0 = t (60 − 4.9t)

t = 0 or 12.2

The ball lands after 12.2 seconds.

c. The maximum height is at the vertex of the parabola.

t = -b / (2a)

t = -60 / (2 × -4.9)

t = 6.1 seconds

Alternatively, the maximum height is reached at half the time it takes to land.

t = 12.2 / 2

t = 6.1 seconds

After 6.1 seconds, the height reached is:

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h = 183.7 meters

7 0
3 years ago
I need help thank you
Svetllana [295]

Answer:

there is no question lol but i am here to help anyway

Step-by-step explanation:

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3 years ago
Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7
Tema [17]
Hello,

y²+4y+4=7
==>(y+2)²-7=0
==>(y+2-√7)(y+2+√7)=0
==>y=-2+√7 or y=-2-√7
6 0
3 years ago
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