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Inga [223]
3 years ago
14

a property owner wants to build a small bridge across a stream running through his field. He knows that the weight the bridge ca

n support is inversely proportional to the length of the bridge. If he builds the bridge across the widest part of the stream, which is 4 feet in length, the bridge can hold 120 pounds of weight. How much weight can the bridge support if he builds it across the part of the stream that is 2.5 feet in length
Mathematics
1 answer:
ycow [4]3 years ago
8 0
The building can hold 250 people
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Kiera's dance class starts at 4:30 p.m. and ends at 6:15 p.m. How long is her dance class?
qwelly [4]
From 4 PM to 6 PM is 2 hours, and it's 15 minutes after 6, so her dance class is 2 hours and 15 minutes long.
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Oliver has one juice box and Lucy has one fewer juice box than Oliver how many juice boxes does Lucy have
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Please solve these questions for me. i am having a difficult time understanding.
s2008m [1.1K]

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

\angle AED = \angel BEC ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

\angle ABC = 90^{\circ}

In ΔDBC

BC=DC (Given)

So,\angle CDB=\angle DBC(Opposite angles of equal sides are equal)

So,\angle CDB=\angle DBC=x

So,\angle CDB+\angle DBC+\angle BCD = 180^{\circ} (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,\angle CDB=\angle DBC=x = 65^{\circ}

Now,

\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90

So,\angle ABD=90-x=90-65=25^{\circ}

In ΔABD

AB = BD (Given)

So,\angle BAD=\angle BDA(Opposite angles of equal sides are equal)

So,\angle BAD=\angle BDA=y

So,\angle BAD+\angle BDA+\angle ABD = 180^{\circ}(Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

8 0
3 years ago
In the linear equation y= 3/4x + 2 what does 2 represent?​
muminat

Answer: The y intercept.

Step-by-step explanation:

Using the form y = mx +b, m represents the slope and b is the y intercept. In the equation y = 3/4x + 2, the slope (m) = 3/4 and the y intercept (b) = 2

6 0
3 years ago
What is the slope of the line passing through the points
Bingel [31]

Hello!

Answer:

\boxed{2}

Step-by-step explanation:

Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}

\frac{1-(-5)}{4-1}=\frac{6}{3}=2

Therefore, the slope is 2, which is our final answer.

Hope this helps!

Have a nice day! :)

:D

Thank you!

6 0
3 years ago
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