All categories

3 years ago

Three of the angles of a quadrilateral are 90 , 156 and 28 . what is the size of the 4th angle?

2 answers:

8 0

The sum of the sides of a quadrilateral is equal to 360º.
x= 4th angle measurement

We have the following equation:

90+156+28+x=360
x=360-90-156-28
x=86

Answer: the size of the 4th angle would be 86º.

Andrew [12]3 years ago

3 0

The sum of angles in a quadrilateral = 360 degrees.

Let the fourth angle be x:

Therefore: 90 + 156 + 28 + x = 360

274 + x = 360

x = 360 - 274

x = 86

x = 86°

I hope this helps.

You might be interested in

Find square root by prime factorization<br> <img src="https://tex.z-dn.net/?f=a%29%20%5Csqrt%7B576%7D" id="TexFormula1" title="a

svp [43]

Answer:

steps below

Step-by-step explanation:

√576 = √64*9 = √(2)⁶*(3)² = 2³*3 = 24

√15876 = √4*81*49 = √2²*3⁴*7² = 2*3²*7 = 126

7 0

2 years ago

En una ciudad se registró una temperatura de 12°c bajo cero a las 3:00 am si a las 7:00am del mismo dia la temperatura era tres

hjlf

Answer:

24°c

Step-by-step explanation:

Cuando se dice que la temperatura esta "mayor" significaria que esta aumentando y entorno subiendo a ser mas caliente. Siendo este el caso, si la temperatura a las 3:00 estaba a 12c bajo cero entonces a las 7:00 estaria a 24c. Esto es por que un aumento de tres vecesseria un aumento de 36 grados (12*3). 12c grados bajo cero seria un numero negativo y si sumamos estos numeros nos daria 24c grados.

-12 + 36 = 24

7 0

3 years ago

Find the circumference of the circle in terms of pi? [30]

son4ous [18]

Answer:

60π

Step-by-step explanation:

If the circle has radius of 30 units, substitute r=30 into the formula C = 2πr.

C = 2π(30)

C = 60π

3 0

4 years ago

Read 2 more answers

Find the sum of the first 40 terms of a geometric sequence where the first term is 16 and the common ratio is 1.1. 704 7,081.480

Lilit [14]

Step-by-step explanation:

The nth term of a geometric progression can be determined by using the formula:

Tn=arn−1

where: a = first term and r = common ratio

Substitute the given values of first term and common ratio into the formula:

Tn=arn−1

T5=(40)(0.5)5−1

T5=(40)(0.5)4

T5=(40)(0.0625)

T5=2.5

8 0

3 years ago

Peter put $8,000 into a savings account that pays 6% interest, compounded continuously. After five years, Peter will have $in th

Dmitrij [34]

We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e^(r t ). We know that r = 0.06; t = 5; e = 2.71 and P = $8,000. A = 8,000 * 2.718^( 0.06 * 5 ) = 8,000 * 2,718^( 0.3 ) = 8,000 * 1.3488158 = 10,798.53. Answer:<span> B. $10,798.53. </span>

6 0

3 years ago