72 + 24x = 288
This is an equation that can be used to solve the word problem above.
Answer:
30 degrees
90 degrees
60 degrees
Step-by-step explanation:
If two of the sides are four, we know that the triangle is a right triangle so one angle is 90 degrees. if the other angle is 30, you can add them. 30+90=120. Then subtract it by 180 because all angles in a triangle add up to 180. 180-120=60.
Answer:
Step-by-step explanation:
a) Area of shape A= 17 (15z+1)
Area of A = 255z+17
b) Area of shape B
One way to find the solution is to take the area of
bigest rectangle ( z+z+8)*(z+4+6)
and subtract the two small rectangles
(z*(14-10)) and
(6*8)
Area of B= [(2z+8)(z+10)] -4z-48
=2z²+ 20z +8z +80 -4z-48 combine like terms
=2z² +24z +32
c) 225z+17 -2z² -24z -32 =
-2z²+201z -15
Δ ABC is an isosceles right triangle:∠ ABC =∠BCA = V45°
Δ ACE is also a right triangle (inscribed in half a circle.
The sum of its angles = 180° and ∠CAE + ∠ACE = 90 ;
∠ CAE + 57° *given) = 90°, then ∠ CAE = 33°
CALCULATE ∠ BAE:
∠ BAE = ∠BAC + ∠CAE
∠BAE = 45° + 33° = 78°