6) What is the equation of a line that passes through (-1, -3) and has a slope of 2?

Yuri [45]

(A) Either of
• rotation 180° about point B
• reflection across point B

(B) If the transformation is rigid, the corresponding sides and angles are congruent.

(C) The sequence of letters tells you the correspondence.
AB ⇔ DB
AC ⇔ DE
BC ⇔ BE
∠A ⇔ ∠D
∠ABC ⇔ ∠DBE
∠C ⇔ ∠E

5 0

3 years ago

Picture of problem below NO LINKS

iragen [17]

Answer:

600$

Step-by-step explanation:

I think this is right

5 0

3 years ago

PLS HELP c:

Leona [35]

Answer:

108, 108, 72

Step-by-step explanation:

Vertical angles are congruent and if the measure of 1 of the angles is 72 degrees and straight lines equal 180 degrees you have to subtract 72 from 180 which equals 108.

4 0

3 years ago

A certain company sends 40% of its overnight mail parcels by means of express mail service A1. Of these parcels, 4% arrive after

Harrizon [31]

Answer:

(a) The probability that a randomly selected parcel arrived late is 0.026.

(b) The probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c) The probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d) The probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

Step-by-step explanation:

Consider the tree diagram below.

(a)

The law of total probability sates that: $P(A)=P(A|B)P(B)+P(A|B')P(B')$

Use the law of total probability to determine the probability of a parcel being late.

$P(L)=P(L|A_{1})P(A_{1})+P(L|A_{2})P(A_{2})+P(L|A_{3})P(A_{3})\\=(0.04\times0.40)+(0.01\times0.50)+(0.05\times0.10)\\=0.026$

Thus, the probability that a randomly selected parcel arrived late is 0.026.

(b)

The conditional probability of an event A provided that another event B has already occurred is:

$P(A|B)=\frac{P(B|A)P(A)}{P(B)}$

Compute the probability that a parcel was late was being shipped through the overnight mail service A₁ as follows:

$P(A_{1}|L)=\frac{P(L|A_{1})P(A_{1})}{P(L)} \\=\frac{0.04\times 0.40}{0.026} \\=0.615$

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₁ is 0.615.

(c)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

$P(A_{2}|L)=\frac{P(L|A_{2})P(A_{2})}{P(L)} \\=\frac{0.01\times 0.50}{0.026} \\=0.192$

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₂ is 0.192.

(d)

Compute the probability that a parcel was late was being shipped through the overnight mail service A₂ as follows:

$P(A_{3}|L)=\frac{P(L|A_{3})P(A_{3})}{P(L)} \\=\frac{0.05\times 0.10}{0.026} \\=0.192$

Thus, the probability that a parcel was late was being shipped through the overnight mail service A₃ is 0.192.

4 0

3 years ago

How many times larger is 4x10^7 than 5x10^5

irina1246 [14]

Answer:

8 times larger

Step-by-step explanation:

4 · $10^{7}$ = 4 · 10 · 10 · 10 · 10 · 10 · 10 · 10

4 · 100 · 100 · 100 · 10

400 · 10000 · 10

= 40000000

5 · $10^{5}$ = 5 · 10 · 10 · 10 · 10 · 10

50 · 100 · 100 · 10

5000 · 1000

= 5000000

40000000 ÷ 5000000 = 8

5 0

3 years ago