The exterior angle of a triangle is equal to the sum of the other 2 oposite interior angles
therfor
95=4x-8+3x-18
95=7x-24
add 24 both sides
119=7x
divide both sides by 7
17=x
sub back
4x-8
4(17)-8
68-8
60=∠F
3x-16
3(17)-16
51-16
35=∠G
1 24/25
1.96= 196/100
196/100= 49/25
49-25= 24
1 24/25
Answer:
x = - 5, x = 2
Step-by-step explanation:
Using the rules of logarithms
log x - log y = log (
)
x = n ⇔ x = 
note that log x =
x
Given
log (x² + 3x) - log10 = 0, then
log(
) = 0, thus
=
= 1 ( multiply both sides by 10 )
x² + 3x = 10 ( subtract 10 from both sides )
x² + 3x - 10 = 0 ← in standard form
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
Solution is x = - 5, x = 2
Answer:
EF=22
C=70°
B=110°
Step-by-step explanation:
Trapezoids have to have a total of 360° and there are complementary angles.
Step-by-step explanation:
% calculations are totally easy, if you remember to always find and the use 1%.
100% = $2.85
1% = 100%/100 = 2.85/100 = 0.0285
the price difference was
2.91 - 2.85 = $0.06
how many % are these $0.06 compared to yesterday's price ?
that is how many times 1% can fit into this number.
0.06 / 0.0285 = 2.105263158...%
so, rounded this is 2.1%