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3 years ago

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

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Answer:

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:

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Step-by-step explanation:

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3 years ago

In the figure above line m is parallel to line n.

enot [183]

Given:

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

Value of x:

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.

Measure of ∠1:

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°

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3 years ago

What is 16 squared?

kodGreya [7K]

16 squared is 256 because if you multiply 16 times 16 you get 256

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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:

Step-by-step explanation:

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

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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

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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

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3 years ago