Answer:
25 miles
Step-by-step explanation:
40 + .08x = 35 + .12x
5 = .20x
x = 25
9515 1404 393
Answer:
(d) Reflexive Property of ≅; SSS
Step-by-step explanation:
There are no angles involved in the proof, so the SAS claims do not apply.
__
The symmetric property says ...
if A ≅ B, then B ≅ A
The reflexive property says ...
A ≅ A
In this case, the reflexive property is the one being invoked in the statement ...
AC ≅ AC
That, together with the claims of line 3 concludes the claim that all three sides are congruent to their corresponding counterparts. Hence the SSS postulate applies.
This is the histogram to ur questions
Answer:
9d^2/(2d + 4).
Step-by-step explanation:
18d^2 / (4d + 8)
First factorise the denominator:
= 18d^2 / 4(d + 2)
The GCF of 18 and 4 is 2 so this simplifies to:
9d^2/2(d + 2)
= 9d^2/(2d+ 4).
a. We assume you want the dot product. That is the sum of the products of the corresponding components.
... V1•V2 = (-6)(-3) + (4)(6) = 18 + 24 = 42
b. V1•V2 = |V1|·|V2|·cos(α)
... α = arccos(V1•V2/(|V1|·|V2|)
... α = arccos(42/√(((-6)²+4²)((-3)²+6²)))
... α = arccos(42/√2340)
... α ≈ 29.74°
c. The scalar projection of V1 onto V2 is the dot product of V1 with the unit vector in the V2 direction.
... V1•V2/|V2| = 42/√45 = 42/(3√5) = (14/5)√5
d. The projection of V1 onto V2 is the result of part c multiplied by the unit vector in the direction of V2.
... projection of V1 onto V2 = (14/5)√5·(-3, 6)/(3√5) = (14/5)(-1, 2) = (-14/5, 28/5)