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3 years ago

Geometry please help

Mathematics

1 answer:

vredina [299]3 years ago

4 0

Oh nvm, i read the question wrong let me redo that

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Kindly answer this one. Thank you.

steposvetlana [31]

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦ The midline's length is the average of the lengths of the top and bottom parallel sides.

$AL=\frac{OR+CE}{2}$

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

$x=\frac{9+5}{2}=7$

2. AL = <em>m</em> - 4, CE = 15, OR = 17

$m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16$

3. OR = y + 5, AL = 15, CE = 18

$15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12$

4 0

3 years ago

A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 1 cm/s. At what rate is the

Morgarella [4.7K]

Answer:

49 cm²/s

Step-by-step explanation:

The problem statement tells you what to do.

Write an equation relating A, b, h:

A = bh . . . . . . the equation for the area of a rectangle

Differentiate with respect to t:

dA/dt = (db/dt)h + b(dh/dt) . . . . . . . product rule

To find the rate of change after 18 seconds, you need to know the dimensions b and h after 18 seconds. Since each dimension was increasing at the rate of 1 cm/s, it is 18 cm more than it was at the beginning:

At 18 seconds,

b = 6 cm + 18 cm = 24 cm;

h = 7 cm + 18 cm = 25 cm.

Of course, db/dt = dh/dt = 1 cm/s. Then the rate of change of area is ...

dA/dt = (1 cm/s)(25 cm) + (24 cm)(1 cm/s)

dA/dt = 49 cm²/s

_____

You could write a formula for the area as a function of time and differentiate that:

A = (6 +t)(7 +t) = 42 + 13t + t²

Then the derivative is ...

dA/dt = 13 +2t

and when t=18, this is ...

dA/dt = 13 + 2(18) = 49 . . . . cm²/s

7 0

3 years ago

Help me what if this answer

Brums [2.3K]

I think you need to make the 6 positive and then add it to 13 which would give you a=19

6 0

3 years ago

( Brainliest and thanks! )<br> Solve for x

timurjin [86]

Answer:

22.5

Step-by-step explanation:

x+3x=90

4x=90

x=90/4

x=22.5

5 0

2 years ago

Read 2 more answers

Identify the constant of proportionality from the table

Afina-wow [57]

<h3>Answer: D) 6</h3>

======================================================

Explanation:

Direct proportion equations are in the form y = kx, for some constant k.

The k value is the constant of proportionality. Solving for k leads to k = y/x.

For each row in the table, divide the y value over the paired x value.

Row1: k = y/x = 12/2 = 6
Row2: k = y/x = 24/4 = 6
Row3: k = y/x = 30/5 = 6
Row4: k = y/x = 54/9 = 6

Each row leads to the same k value, so the constant of proportionality is 6.

The equation y = kx updates to y = 6x.

This line has slope 6 and y intercept 0.

All direct proportion equations go through the origin.

4 0

3 years ago