You just have to divide by two so positive five divided by two equals 2.5 just converted into a fraction
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°.
Answer:
C) AC=DC
Step-by-step explanation:
In the figure of question attached below:
In Δ ACB and Δ DCE, AB and DE are hypotenuse respectively.
According to HL theorem:
"If hypotenuse and one leg of right angle triangle is congruent to Hypotenuse and one leg of other right angle triangle then triangles are congruent"
According to above statement if AB and DE are hypotenuse of Δ ACB and Δ DCE respectively then either
AC = DC (leg)
BC = EC (leg)
In order to prove congruence of triangles using HL theorem, AC must be equal to DC.
So option C is correct.
Answer:
c) 4
Step-by-step explanation:
4x +2 - 7 = x + 7
4x - x = 7 -2 + 7
3x = 12
x = 4