Answer:
15.78°
Step-by-step explanation:
Let the angle be x.
From the x, the known sides are the opposite side, O(13) and the adjacent side, A(46)
Therefore, The trigonometric ratio is the tangent ratio.
tan x = O/A
tan x =13/46
x = 15.78°
Answer:
The correct options are;
1) ΔBCD is similar to ΔBSR
2) BR/RD = BS/SC
3) (BR)(SC) = (RD)(BS)
Step-by-step explanation:
1) Given that RS is parallel to DC, we have;
∠BDC = ∠BRS (Angles on the same side of transversal)
Similarly;
∠BCD = ∠BSR (Angles on the same side of transversal)
∠CBD = ∠CBD = (Reflexive property)
Therefore;
ΔBCD ~ ΔBSR Angle, Angle Angle (AAA) rule of congruency
2) Whereby ΔBCD ~ ΔBSR, we therefore have;
BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1
1 + SC/BS = 1 + RD/BR = SC/BS = 1 + BR/RD - 1
SC/BS = RD/BR
Inverting both sides
BR/RD = BS/SC
3) From BR/RD = BS/SC the above we have by cross multiplication;
BR/RD = BS/SC gives;
BR × SC = RD × BR → (BR)(SC) = (RD)(BR).
Answer:
y=-1/3x+4
Step-by-step explanation:
1/3x+y=4
y=4-1/3x
y=-1/3x+4
So basically you're dividing 12 by 3 times x which is 12 over 3x. 12/3x
housing: 900/4500 = 0.2 = 20%
transportation: 650 / 4500 = 0.14 = 14%
utilities: 120/4500 = 0.026 = 2.6% ( round to 3% maybe)
food: 475/4500 = 0.105 = 10.5% (round to 11% maybe)
savings: 1600 / 4500 = 0.355 = 35.5% (round to 36% maybe)
Student Loan: 270 / 4500 = 0.06 = 6%
Other expenses: 485 / 4500 = 0.107 = 10.7% (round to 11% maybe)
You didn't say if they needed to be rounded so I gave you the options on the ones that may need it.