Answer:
9 cats
Step-by-step explanation:
x = cat
y = dog
Set up equations.
x + y = 30
4.5x + 8.5y = 219
Multiply first equation by 4.5 and subtract.
4.5x + 4.5y = 135
-(4.5x + 8.5y = 219)
-4y = -84
y = 21
Substitute this y value into the first equation
x + y = 30
x + 21 = 30
x = 9
Answer:
x=3
Step-by-step explanation:
axis of symmetry always pass through X coordinate of vertex.
here vertex is (h,k)= (3,5)
so x coordinate is 3.
so the equation of the axis of the symmetry is X=3
we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that

in this problem

so

Step 
Find the measure of angle A

therefore
the answer is the option
35.5° and 54.5°
Answer:
The top angle of the triangle is, X = 68°.
Step-by-step explanation:
Let there is a triangle named PQR with bottom corner angles ∠ P and ∠ Q and the ∠ R is the angle at the top.
Now, given that ∠ P = 31° and ∠ Q = 81° and we have to find out ∠ R i.e. X.
In Δ PQR, we know, ∠ P + ∠ Q + ∠ R = 180°
⇒ 31° + 81° + X = 180°
⇒ X = 68°
Therefore, the top angle of the triangle is 68°. (Answer)