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stiv31 [10]
3 years ago
14

ABCD is a parallelogram. If a CDA - 57 then BCD-_?

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

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A three-bedroom house in North Augusta sold for $190,000. If housing prices are expected to increase 1.8% annually in that town,
Ivahew [28]

Answer:

we know that the initial price of the house is $190,000.

We also know that the expected increase is 1.8%, this means that the year zero we have no increase; the price is $190,000.

one year after we have an increase of the 1.8% (or 0.018 in decimal form), this means that the new price is:

$190,000 + $190,000*0.018 = $190,000*(1.018)

another year after, we have:

$190,000*(1.018)*(1.018) = $190,000*(1.018)^2

and etc

The function that models the price as a function of the years, represented as y, is:

P(y) = $190,000*(1.018)^y

If we want to know the price in 5 years, we need to replace y = 5 in the equation:

p(5) = $190,000*(1.018)^5 = $207,726.80

Step-by-step explanation:

hope this helps you

3 0
3 years ago
In the figure above line m is parallel to line n.
enot [183]

<u>Given</u>:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

<u>Value of x:</u>

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

\angle 1+\angle 2=180^{\circ}

Substituting the measures of ∠1 and ∠2, we get;

4x+15+9x+35=180

             13x+50=180

                     13x=130

                        x=10

Thus, the value of x is 10.

<u>Measure of ∠1:</u>

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

\angle 1 =4(10)+15

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\angle 1=55^{\circ}

Thus, the measure of ∠1 is 55°

7 0
3 years ago
What is 16 squared?
kodGreya [7K]
16 squared is 256 because if you multiply 16 times 16 you get 256
3 0
3 years ago
Read 2 more answers
what is 1+1? My daughters teacher said the answer wasn't 2 when she wrote it on her worksheet. please help a parent out!! maybe
nikdorinn [45]

Answer:

2

Step-by-step explanation:

Maybe they got confused or could not read her handwriting well because im pretty sure it is 2

8 0
3 years ago
he isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, measu
lapo4ka [179]

Answer:

2x+ 2.1 = 7.5

x=2.7

Step-by-step explanation:

The perimeter of an isosceles triangle with sides x and y is

2x+y = P

I put y as the single side since the question said y is the shortest side.  It should say shorter sides if the two sides with the same length are smaller than the third.

We know y =2.1 and P = 7.5

Substituting these values in, we get

2x+ 2.1 = 7.5

Subtract 2.1 from each side

2x+2.1 -2.1 = 7.5 -2.1

2x= 5.4

Divide each side by 2

2x/2 = 5.4/2

x = 2.7 m



3 0
3 years ago
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