A. 7 + 3 x (2 + 4) = 25
7 + 3 x 6 = 25
7 + 18 = 25
25 = 25
B. 8^2 divided by 4 x 8 = 2
64 divided by 4 x 8 = 2
64/32 = 2
2 = 2
C. (16 + 8) - 5 x 2 = 14
24 - 5 x 2 = 14
24 - 10 = 14
14 = 14
For each problem use the basis of the acronym PEMDAS.
P arentheses (grouping symbols)
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
Evaluate each step in that order.
Answer:
y=131°
x=53°
Step-by-step explanation:
∠ ABD and ∠ BDC are supplementary.
The sum of the supplementary angles =180 °
thus y-4+x=180...........i
x and 37° are complementary, that is, they add up to 90°
Thus, x=90-37=53°
Using this value in equation 1 we obtain:
y-4°+53° =180°
y= 180°-53°+4°
y=131°
Answer:
Step-by-step explanation:
m∠1=m∠3
m∠2=m∠4
3*(m∠1+m∠3)=m∠2+m∠4
3*(m∠1+m∠1)=m∠2+m∠2
3×2 m∠1=2 m∠2
m∠2=3 m∠1
now m∠1+m∠2=180°
m∠1+3 m ∠1=180
4 m∠1=180
m∠1=180/4=45°
m∠3=45°
m∠2=180-m∠1=180-45=135°
m∠4=135°
Answer:
The triangle angle rule says that all of the angles in a triangle will add up to equal 180. So to find x we subtract the given angles ( 45 and 60 in this case) from 180.
x = 180-60-45
180-60-45=75
so x = 75
To find y we know that angle x and and y are angles formed on a straight line that are split up by a triangle segment. These angles are called supplementary angles which add up to equal 180.
So knowing that angle x = 75 we can find angle y by subtracting 75 from 180
180-75=105 so y = 105
Another way we could solve for y is the exterior triangle rule
This rule states that an exterior angle of a triangle is equal to the two opposite interior angles
so y = 45 + 65
45 + 65=105
so y = 105
Step-by-step explanation:
