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lys-0071 [83]
2 years ago
13

what is the sum of the measures of the angles of a convex quadrilateral? will this property hold if the quadrilateral is not con

vex?​
Mathematics
1 answer:
bonufazy [111]2 years ago
3 0

Answer:

The sum of the measures of the angles of a convex quadrilateral is 360° as a convex quadrilateral is made of two triangles. Yes, this property also holds true for a quadrilateral which is not convex. This is because any quadrilateral can be divided into two triangles.

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?????????????????????????
Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

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

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 275(1 + \frac{0.029}{0.5})^{0.5*4}

A = 275(1 + 0.058)^{2}

A = 275(1.058)^{2}

A = 275(1.1194)

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0
3 years ago
Which expression is equivalent to 15x^-3z^5/3x^7z^-5 please answer spr fast
Law Incorporation [45]

Answer:

5x^{-10}z^{10

Step-by-step explanation:

Given

\frac{15x^{-3}z^5}{3x^7z^{-5}}

Required

Evaluate

\frac{15x^{-3}z^5}{3x^7z^{-5}}

Start by dividing 15 by 3

\frac{5x^{-3}z^5}{x^7z^{-5}}

Apply the following law of indices on indices x and z

\frac{a^m}{a^n} = a^{m-n

So, the expression becomes:

5x^{-3-7}z^{5-(-5)

5x^{-3-7}z^{5+5

5x^{-10}z^{10

3 0
2 years ago
Read 2 more answers
Rectangle MNPQ is similar to rectangle RSTU. Given the information marked on the diagram, what is the perimeter of RSTU?
xenn [34]
The perimeter of RSTU can be calculated alone without the help of MNPQ. It would be just 2(4) + 2(3) = 14 units. However, it would be much sensible if you want to find the parameter of the bigger rectangle. Since they are similar, you could use ratio and proportion.

(length/width)∨MNPQ = (length/width)∨RSTU
(x/9) = (3/4)
x = 6.75 units

Thus the perimeter of MNPQ is 2(6.75) + 2(9) = 31.5 units
5 0
2 years ago
Read 2 more answers
By what number should I multiply 1 1/4 by to obtain 3/4(fractions)
Reptile [31]
1 1/4x = 3/4
5/4x = 3/4
x = (3/4) / (5/4)
x = 3/4 * 4/5
x = 12/20 which reduces to 3/5

check..
1 1/4 * 3/5 =
5/4 * 3/5 =
15/20 reduces to 3/4 

so u would multiply 1 1/4 by 3/5 to get 3/4
7 0
2 years ago
Read 2 more answers
Juan wants to make flash cards out of a piece of cardboard that is by inches. What is the greatest number of flash cards that he
LenKa [72]

Answer:

Not enough material to desc

Step-by-step explanation:

If he has 5 x 3 inches of cardboard he can

3 0
3 years ago
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