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3 years ago

△ABC ~ △XYZ. Find X. Thanks!

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

Answer:

<h2> $\huge \: \boxed{ \boxed{21}}$ </h2>

Step-by-step explanation:

according to the question

$\frac{14}{2x + 7} = \frac{x - 3}{63}$

$882 = (x - 3)(2x + 7)$

$0 =882 - (x - 3)(2x + 7)$

$882 - (2 {x}^{2} + x - 21) = 0$

$882 - {2x}^{2} - x + 21 = 0$

$- {2x}^{2} - x + 903 = 0$

$2x + x - 903 = 0$

$(2x + 43)(x - 21) = 0$

$x = - \frac{43}{2} \\ x = 21$

$\huge \therefore x = 21$

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Please help me!! So confused? what's the answer??!!!

iris [78.8K]

Answer:

V = 113.04

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

V = 4/3(3.14)3³

V = 4/3(3.14)27

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3 0

3 years ago

HURRY !!

LekaFEV [45]

Answer:

B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2

Step-by-step explanation:

Step 1 is correct.

Step 2.

-9.2 >= x

Subtract x from both sides.

-x - 9.2 >= 0

Add 9.2 to both sides.

-x >= 9.2

Divide both sides by -1. When you multiply or divide both sides of an inequality, the inequality sign changes direction.

x <= -9.2

The first error is in Step 2.

Answer:

B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2

8 0

3 years ago

Read 2 more answers

To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you

vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then $x=\frac{c*b}{a}$

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

$seconds=\frac{15 minutes*60 seconds}{1 minute}$

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

$distance=\frac{900 seconds*0.1 miles }{25 seconds}$

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

The total distance covered is 15.6 miles.

6 0

3 years ago

Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have