Answer:
Therefore a= 90°,b=54°, x=54°, y= 162°
Step-by-step explanation:
a=90°
a:b=5:3
5+3= 8
5/8 x A = 90
A is the sum of the angles of a and b divided in the ratio 5:3
5A/8 = 90
cross multiply
5A= 90 X8 = 720
5A=720
A= 720/5= 144°
b= 3/8 x 144 = 3x144/8 = 432/8 = 54
a= 90
b= 54
x:y is in the ratio of 1:3
the Sum of angles in a Quadrilateral is 360°
if the sum of a and b is 144°
then the reamining angles is 360-144= 216°
then x:y=1:3
1+3=4
x= 1/4 x 216= 54°
y= 3/4 x 216= 162°
Therefore a= 90°,b=54°, x=54°, y= 162°
we can see that b = x = 54°
I would have to say
Maria is 21
Jose 9
If Maria was 12 and Jose wasn’t born yet look at their ages in nine years.
Hope this helped.
Answer:
- <u>3 </u><u>and</u><u> 17</u> are required integers
Step-by-step explanation:
- Let one integer be x
- And other integer be y
x = 4y + 5
xy = 51
<u>According to </u><u>question </u><u>:</u>
➞ (4y + 5)y = 51
➞ 4y² + 5y = 51
➞ 4y² + 5y - 51 = 0
➞ 4y² + 17y - 12y - 51 = 0
➞ y (4y + 17) - 3(4y + 17) = 0
➞ (y - 3)(4y - 17) = 0
➞ y - 3 = 0
➞ <u>y = 3</u>
Hence,
➞ <u>y = 3</u>
➞ x = 4y + 5
➞ x = 4 (3) + 5
➞ x = 12 + 5
➞<u> </u><u>x = 17</u>
∴ The required integers are <u>3 and 17</u>
The answer is R= {-7, 1, 9, 17}. All you have to do is plug in the numbers (the domain) into the equation.
