As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
Answer:
x = 20°
y = 30
Step-by-step explanation:
The triangle given on close inspection, it is an equilateral triangle.
Each angle in an equilateral triangle is equal. Likewise, each side is equal.
Thus;
16 + y = 46
y = 46 - 16
y = 30
The triangle that has angle 80°, the other complete angle is 60° because it's an angle of an equilateral triangle.
Thus, the smaller angle there is;
180 - (80 + 60) = 40°
Because sum of angles in a triangle is 180°
Now, x + 40 = 60°
Since that's also an angle of an equilateral triangle.
x = 60 - 40
x = 20°
Answer:
Each week $16 will be saved for dog house.
Step-by-step explanation:
We are given the following in the question:
Amount received for walking neighbor's dog = $24
Savings is given by =
Savings =
Thus, we'll be saving $16 for the dog house each week.
Answer:
111 cm^2
Step-by-step explanation:
h = 11.4
d = 5 so r (radius) = 2.5
Surface Area of a Cone Formula: πr^2 + πrs
s represents the slant height of the cone, lets represent this with a drawing.
We have the values of h and r, but we don't have the value of s, meaning we have to find it. We can do this by using pythagorean theorem.
a^2 + b^2 = c^2
These three values can come together to create a right triangle which we can seperate from the rest of the diagram, now we can find s.
s = √(11.4^2 + 2.5^2) so s = 11.67
now that we have all of the pieces, we can plug back into the original surface area formula. πr^2 + πrs
π(2.5^2) + π(2.5)(11.67) = 111.29 cm^2 or 111 cm^2
X - 11 = 16
x = 16 + 11
x = 27
hope this helps!