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4 years ago

10 POINTS!!! A truss bridge is shown with two parallel horizontal beams crossed by vertical and slanted beams.

Mathematics

1 answer:

Ugo [173]4 years ago

3 0

Answer:

x=40 °

Step-by-step explanation:

The two horizontal beams are parallel and the slanted beams make a traversal

Hence we use the basic properties of a transverse line making with two parallel lines.

please refer to the image attached to this answer.

The two angles described in the figure makes the alternate interior angles and this these two are congruent . Hence

x= 40°

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Christopher has six times as much money as Michael. If Michael earns $80 and Christopher earns $60, Christopher will then have t

denpristay [2]

Answer:

360 and 60.

Step-by-step explanation:

Let Christopher earns x amount of money and y be money earned by Michael.

Firstly, Christopher has six times as much money as Michael so,

x=6y........ (i)

If Michael earns $80 and Christopher earns $60, Christopher will then have three times as much money as Michael so,

x+60=3(y+80)

From (i),

6y +60= 3(y+80)

3(2y+20)=3(y+80)

2y+20=y+80

2y-y=80-20

y=60

Substituting value of y in equation (i),

x=6×60=360.

Therefore, Christopher earned 360 and Michael earned 60.

8 0

3 years ago

Please help its eighth math!

Margaret [11]

Answer:

t and u are parallel lines

s and t are also parallel lines

Step-by-step explanation:

If two parallel lines are cut by a transversal ,

then in it

pair of alternate angle are equals, similarly vice versa

if pair of alternate angle are equals then lines are parallel

pair of corresponding angles are equal and vice-versa

for example

in the given problem

if line t and u are parallel (note we have assumed this to give example of parallel lines)

then angle 7 and 9 are called alternate angles

pair of angles 5 and 9 are corresponding angles.

________________________________________________

given

∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,

thus t and u are parallel lines

___________________________

∠1 = ∠3 as they vertically opposite angles

and we know that pair of vertically opposite angles are equal

given

∠1 = ∠7

thus

∠3 = ∠7

as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line s and t are also parallel.

3 0

3 years ago

5square root27 - 17suqare root3

Lana71 [14]

Answer:

-3.4641

Step-by-step explanation:

7 0

3 years ago

Evaluate each expression if a=-1, b=4,x=-2 and y=3<br><br> 2(6a-2b)-8x

Andreyy89

Answer:

-12

Step-by-step explanation:

2(6a-2b)-8(-2)

=2[6(-1)-2(4)]+16

=2[-6-8]+16

=2[-14]+16

=-28+16

=-12

4 0

4 years ago

Help asapppppppp as soon as possible

sergejj [24]

Answer:a

Step-by-step explanation:

Because sum means addition

7 0

3 years ago