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2 years ago

Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

Mathematics

1 answer:

Svetlanka [38]2 years ago

3 0

Answer:

b = 14

Step-by-step explanation:

Since both angles are diagonal each other, they are equal to each other.

5b = b + 56

-b -b (subtract b from both sides)

4 4 (divide both sides by 4 to solve for b)

b = 14

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A fisherman can

viva [34]

Answer:

4 [miles].

Step-by-step explanation:

1) the condition 'the entire trip took 5 hours' can be written as (where t_us - time spent upstream, t_ds - time spent downstream)

$t_{us}+t_{ds}=5;$

2) but the distance [D] upstream is equal the distance downstream, then the condition above can be written:

$\frac{D}{V_{us}} +\frac{D}{V_{ds}} =5; \ (V_{us}-rowing \ upstream,V_{ds}-rowing \ downstream);$

3) finally,

$D=\frac{5V_{us}*V_{ds}}{V_{us}+V_{ds}};$

D=5*4/5=4 [miles].

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1 year ago

What adds to -9, and multiplies to -70?

dybincka [34]

-14 and 5 (-14+5 = -9) and -14*5) = -70

Make me the brainliest answer.

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3 years ago

Select the expression that equals 9-(-15) a.9+(15) b. -9+15 c. 9+(-15) d. -9+-15

madreJ [45]

Answer:

Step-by-step explanation: PURPLE

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3 years ago

In the geometric progression 1, 2, 4… what term is 512?

Levart [38]

The next term is double the previous term, so that the $n$ -th term is given recursively by

$\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}$

This rule tells us that

$a_2=2a_1$

$a_3=2a_2=2^2a_1$

$a_4=2a_3=2^3a_1$

and so on, with the explicit rule

$a_n=2^{n-1}a_1=2^{n-1}$

for $n\ge1$ .

If 512 is the $k$ -th term in the sequence, then

$512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10$

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2 years ago

An indoor trampoline park has an admission fee, plus an hourly charge. The graph displays the total cost from 3, 4, 5, and 6 hou

defon

Answer:

$4.5 per hour

Step-by-step explanation:

Hope this was accurate and help full. I hope you have a lovely day!

3 0

2 years ago

Read 2 more answers