Answer:
BC=√7
Step-by-step explanation:
AC=4
AC=AH+HC
=3HC+HC
=4HC
HC=1/4AC=1/4×4=1
AH=3HC=3×1=3
BH⊥ AC
AB=AC=4
Answer:
88 deg
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. That means that the sum of the measures of angles O and Q is 180 deg.
2x + 2x + 4 = 180
4x + 4 = 180
4x = 176
x = 44
m<O = 2x = 2(44) = 88
Answer: 88 deg
Answer:
=0.56184
Step-by-step explanation:
Yes, they are proportional. if you divide the second fraction down to simplest form, you get 7/12, which is equal to the first fraction.
Answer:
x = 11
y = 17
Step-by-step explanation:
We know that opposite angles (or vertical angles) are equal.
So
8x + 7 = 9x - 4
Subtract 8x from both sides of the equation
8x - 8x + 7 = 9x - 8x - 4
7 = x - 4
Add 4 to both sides of the equation
7 + 4 = x - 4 + 4
11 = x
Looking at the other 2 angles,
5y = 7y - 34
Subtract 7 y from both sides of the equation
5y - 7y = 7y - 7y - 34
-2y = -34
Divide both sides by -2
-2y/-2 = -34/-2
y = 17
