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1 year ago

HEEEEEEELLLLLLLLLLLLPPPPPPPPPPPPP

Mathematics

2 answers:

weeeeeb [17]1 year ago

5 0

One Opposite side pair of a trapezoid has equal length

KL||JM

A is true

<J is supplement to <K

B is false
D is true

JK and LM are not paralle

C is false

<J is congruent to <M may be true

Option E is false

May not be

F is false

jolli1 [7]1 year ago

4 0

Answer:

A. $\sf \overline{KL}$ is parallel to $\sf \overline{JM}$

D. ∠J is supplementary to ∠K

Step-by-step explanation:

Properties of a trapezoid:

One pair of parallel sides (the "bases" - top and bottom sides)
Interior angles sum to 360°
The two angles that are on the same leg (left and right sides) sum to 180°

Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:

$\sf \overline{KL}$ is parallel to $\sf \overline{JM}$

When two angles sum to 180° they are called supplementary angles.

As the two angles that are on the same leg sum to 180° then:

∠J is supplementary to ∠K

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Which of the following is not an extensive physical property?

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D. Color

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3 years ago

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Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answe

Otrada [13]

We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
On September 22, the sun’s rays form a 90° angle at noon at the equator.

Formula for calculating noon sun angle is:

Noon_sun_angle = 90° - Zenith angle

We have complementary angles so we need to substract zenith angle from 90°.

The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.

New Orleans, USA
Latitude = 30°
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Helsinki, Finland
Latitude = 60°
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2 years ago

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Find f(4) if f(x) = x - 6

Lunna [17]

You would plug in 4 for x.
f(4)= (4) - 6 = -2

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2 years ago

What is the value of y?

scZoUnD [109]

All angles in triangle inside add up to 180
so

the angles are y, 79,37
therefor
y+79+37=180
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y+79+37=180
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7 0

2 years ago

State whether the lines are parallel, perpendicular,or neither.

cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

Two lines are parallel if their slopes are equal.

Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

Given the lines

y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6

y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

m₁ × m₂ = -1

6 × - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3

2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4

x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

m₁ × m₂ = -1

4 × - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2

3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6

y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3

y = -1/3x - 4

Comparing with y=mx+b, the slope of y = 1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0

1 year ago