Let's solve this problem step-by-step.
First of all, let's establish that supplementary angles are two angles which add up to 180°.
Therefore:
Equation No. 1 -
x + y = 180°
After reading the problem, we can convert it into an equation as displayed as the following:
Equation No. 2 -
3x - 8 + x = 180°
Now let's make (y) the subject in the first equation as it is only possible for (x) to be the subject in the second equation. The working out is displayed below:
Equation No. 1 -
x + y = 180°
y = 180 - x
Then, let's make (x) the subject in the second equation & solve as displayed below:
Equation No. 2 -
3x - 8 + x = 180°
4x = 180 + 8
x = 188 / 4
x = 47°
After that, substitute the value of (x) from the second equation into the first equation to obtain the value of the other angle as displayed below:
y = 180 - x
y = 180 - ( 47 )
y = 133°
We are now able to establish that the value of the two angles are as follows:
x = 47°
y = 133°
In order to determine the measure of the bigger angle, we will need to identify which of the angles is larger.
133 is greater than 47 as displayed below:
133 > 47
Therefore, the measure of the larger angle is 133°.
12. A trapezoid is a quadrilateral. It has 4 sides
16. Two parallelograms. Two sides opposite of each other will be parallel to each other. The same is true with the other two sides. (length and width)
Answer:
A Marco le sobra 400.
Step-by-step explanation:
Marco gana 1200 mensualmente. La mitad de su dinero es entregado a su mamá.
La mitad de un número se calcula dividiendo el número por 2. Por lo que la mitad de lo ganado por Marco se calcula:
1200 ÷2= 600
Por lo que Marco entrega a su mamá 600 mensualmente, y quedan 600, obtenido de la resta entre lo ganado mensualmente y lo entregado a su madre.
De lo que le queda gasta en la tercera parte en ropa. La tercera parte de un número se calcula dividiendo el número por 3. Entonces:
600 ÷3= 200
Entonces Marco gasta 200 en ropa. Por lo que resta es 400, obtenido por la diferencia entre los 600 que poseía luego de entregar dinero a su madre y lo gastado en ropa.
Entonces, <u><em>a Marco le sobra 400.</em></u>
Answer:
6+_3√2/2
Step-by-step explanation:
y=2x²-12x+9
y=6+3√2/2
Since the shower block is in the form of a rectangle. The shower block has an area of 144
. It has a length of 24m. We need to calculate the width of the shower block.
Area of rectangular shower block = length 
width
144 = 24 m width
width = 
width = 6m
So, the width of the shower block is 6 meters.
