Answer:
x=60 degrees
Step-by-step explanation:
All triangles equal to 180 degrees. 180-30=150-90=60
Answer:
Step-by-step explanation:
Let the number be x
5 times a number = 5x
24 - 5x = 15
-5x = 15-24
-5x = -9
x= -9/-5
x = 9/5
or x = 1.8
Answer:
Step-by-step explanation:
Answer:
48degrees
Step-by-step explanation:
From the circle geometry shown, traingle BDC is an isosceles triangle which shows means that their base angels are the same. Hence;
<B = <C
<CBD + <BCD + <D = 180
<BCD + <BCD + <D =180
2<BCD + <BDC = 180
Get <BCD;
<BCD+ <ECB = 90
<BCD + 48 = 90
<BCD = 90 - 48
<BCD = 42degrees
Get <BDC
2<BCD + <BDC = 180
2(42)+ <BDC = 180
84 + <BDC = 180
<BDC = 180 - 84
<BDC = 96
Since angle at the centre is twice that at the circumference, then;
<BAC = 1/2(<BDC )
<BAC = 96/2
<BAC = 48degrees
Answer:
(x,y) (1,-1)
Step-by-step explanation:
y=3-4x
-x+2y=-3
x+2(3-4x)=-3
x=1
y=3-4*1
y=-1
