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ki77a [65]
4 years ago
5

A kite was broken into two triangles that have the same size and shape

Mathematics
2 answers:
ZanzabumX [31]4 years ago
8 0

Answer:

Step-by-step explanation:

Both triangles are congruent. So, both triangles will have the same height.

Height of the triangle = 14/2 = 7 m

Phoenix [80]4 years ago
5 0

Answer:

7m

Step-by-step explanation:

i just did the problem e.dgenuity

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Write one digit on each side of 23 to make a four digit multiple of 72. How many different solutions does this problem have?
user100 [1]

Answer:

This problem has two possible solutions.

2232

7236

Step-by-step explanation:

To be divisible by 72, a number has:

To be divisible by both 8 and 9 at the same time.

It is divisible by 8 if it's last two digits are divisible by 4.

It is divisible by 9 it the sum of it's digits is a number divisible by 9.

a23b

3b must be divisible by 4. In the thirties, the numbers that are divisible by 4 are 32 and 36. So b = 2 or b = 6.

a232

2 + 3 + 2 = 7

The higest possible value of a is 9 and the lowest is 1.

Between 8 and 16, only 9 is divisible by 9. So a = 2.

a = 2, b = 2 is one of the solutions.

a236

2 + 3 + 6 = 11

The higest possible value of a is 9 and the lowest is 1.

Between 12 and 20, only 18 is divisible by 9. So we need a = 7

5 0
3 years ago
Find the coordinates of the image of the point A(3, 9) for a dilation with the scale factor of 2/3
Ierofanga [76]

Answer:

A'(2, 6 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each of the coordinates by \frac{2}{3}

A(3, 9 ) → A'( \frac{2}{3} (3), \frac{2}{3} (9) ) → A'(2, 6 )

4 0
3 years ago
Read 2 more answers
Ramona is counting the posts between mile makers on the highway. In 1 mile, she counts 33 posts. If the posts are evenly spaced,
IceJOKER [234]
160 because you need to divide feet to post
4 0
3 years ago
a family buys a new home for $212,500 and pays a 20% down payment ($42,500). if the mortgage is for 15 years at 5.75% interest w
diamong [38]

Answer:

Their monthly house payment is of $2,184.65.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A family buys a new home for $212,500 and pays a 20% down payment ($42,500).

This means that the loan is of 212,500 - 42,500 = $170,000, that is, P = 170,000

Value of the loan in 15 years:

15 years means that t = 15

5.75% interest means that r = 0.0575

Compounded yearly, so n = 1

Then

A(t) = P(1 + \frac{r}{n})^{nt}

A(15) = 170000(1 + \frac{0.0575}{1})^{15}

A(15) = 393237

Monthly payment:

Total of $393,237 in 15*12 months. So

M = \frac{393237}{15*12} = 2184.65

Their monthly house payment is of $2,184.65.

5 0
3 years ago
If the equation y=3x+2 is changed to y=-3x+2, how will the graph of the line change?
vivado [14]

Answer:

It will be flipped horizontally.

Step-by-step explanation:

The slope is changed to negative  so it will go down instead of up

4 0
3 years ago
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