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Alona [7]
3 years ago
15

The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

<em>< CDA = 140 degrees </em>

Step-by-step explanation:

For a rhombus, the sum of the interior angles is 360 degrees and also the opposite angles are equal i.e <ABC = <CDA and <BAD = <BCD

Given

<CAD = 20 degrees

<BCE = 20 degrees (based on geometry)

<BAD = <CAD + <BCE

<BAD = 20 + 20

<BAD = 40 degrees

Since  <BAD =  <BCD, then  <BCD = 40 degrees

Get <CDA

<CDA + <ABC + <BAD +   <BCD  = 360

<CDA + <CDA + <BAD +   <BCD  = 360

2 < CDA + 40 + 40 = 360

2< CDA + 80 = 360

2< CDA = 360-80

2< CDA = 280

< CDA = 280/2

<em>< CDA = 140 degrees </em>

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Answer please ASAP!!!!!!
weqwewe [10]
<h3>Answer:  282.6 square units</h3>

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

Work Shown:

r = 3 is the radius of the circular base

h = 12 is the height of the cylinder

pi = 3.14 approximately

SA = surface area of the cylinder

SA = 2pi*r^2 + 2pi*r*h

SA = 2*3.14*3^2 + 2*3.14*3*12

SA = 282.6

3 0
3 years ago
The sum of two nonnegative numbers is 100. What is the maximum value of the product of these two numbers?
Svetllana [295]
50 x 50= 2500 would work out, anything else is lower
6 0
3 years ago
The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width.
kirill [66]
Area is calculated as length times width.
A = lw
Is the area and length are known, then you can plug in their values and isolate w to find the width.
I find it easiest to convert to decimals rather than using mixed numbers.
<span>8 ¾ = 8.75 (area)
</span><span>3 ½ = 3.5 (length)
Now let's plug in the values.
8.75 = 3.5w
To isolate w, just divide both sides by 3.5.
8.75 / 3.5 = 2.5
This means w = 2.5.
So the width is 2.5 feet.
Now convert the decimal back to a mixed number.
2.5 = 2 </span>½

So the answer to this question is that the width is 2.5, or 2 ½.

Hope this helps!
4 0
3 years ago
What is the value of g^-1(1)?
Svetllana [295]

Answer:

It is this hopefully this helps 1000 kg-1

3 0
3 years ago
4(3x - 2) - x = 3x - 4x
Oduvanchick [21]

Answer:

2/3

Step-by-step explanation:

Step 1:

4 ( 3x - 2 ) - x = 3x - 4x

Step 2:

12x - 8 - x = - x

Step 3:

11x - 8 = - x

Step 4:

11x = - x + 8

Step 5:

12x = 8

Answer:

x = 2/3

Hope This Helps :)

4 0
3 years ago
Read 2 more answers
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