Answer:
x= -2
y= -2
Step-by-step explanation:
y = 8x + 14
y = x
Now by subtraction of these two equation,
So 0 = 7x + 14
x = -2
y = -2
Answer:
EF = BC = a ÐF is a right angle. FD = CA = b triangle EF = BC = a angle F is a right angle. FD = CA = b In triangle DEF, By Pythagoras Theorem, a2 + b2 = c2 the given AB=c= a^2 + b^2 square root Theorefore AB = DE But by construction, BC = EF and CA = FD triangle ABC congruent to DEF (S.S.S
We have given that Δ ABC is similar to Δ CBD and Δ ABC is similar to Δ ACD according to the attached picture.
Because of the similarity the corresponding sides are proportional. Then a/c = f/a
and b/e = c/b. If we cross multiply, we'll get
a² = cf and b² = ce
If we add these equalities together, we'll get
a² + b² = c (f + e)
From the beginning, we know that c = e+f
Then, the final result is:
a² + b² = c²
Answer:
X equals 6°.
Step-by-step explanation:
There is a geometry rule that states the outer angle of a triangle's interior angle is equivalent to the sum of the remaining two interior angles of the triangle. Following this rule, you can get that (6x + 8) + (5x + 8) = 82° ⇒ 11x + 16 = 82° ⇒ 11x = 66° ⇒ x = 6°.
Annual interest ----- 7,5%
halfyear interest ---- x%
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x = 0,5 *7,5/1 = 3,75%
7,5% +3,5% = 11%
$1500 ---------- 100%
x ----------------- 11%
-----------------------------
X = 11*1500/100 = 165
so this mean that $165 is the simple interest what Kara owes on in a 1,5 year