English 1 hhhhhheeeeellllpppp meeee

△ABC ~ △XYZ. Find X. Thanks!

Marizza181 [45]

Answer:

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

Step-by-step explanation:

according to the question

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

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

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

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

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

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

$2x + x - 903 = 0$

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

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

$\huge \therefore x = 21$

8 0

3 years ago

Complete the standard form of the equation –5y= 10 – 2x.<br><br><br> ???x + ???y = 10

Nimfa-mama [501]

-5y=10-2x
add 2x to both sides
2x-5y=10

8 0

4 years ago

Can someone help me in this plssss I really need it

kompoz [17]

Answer:

$\boxed{-3xy^{2}\sqrt [3] {2x^{2}}}$

Step-by-step explanation:

Your expression is

$\sqrt [3] {-54x^{5}y^{6}}$

Here's how I would simplify it.

$\begin{array}{rcll}\sqrt [3] {-54x^{5}y^{6}} & = & \sqrt [3] {(-1)^{3}\times 2 \times 27 \times x^{2} \times x^{3} \times y^{6}} & \text{Factored the cubes}\\& = & \sqrt [3] {(-1)^{3} \times 3^{3}\times x^{3} \times y^{6}\times 2 \times x^{2}} & \text{Grouped the cubes}\\\end{array}$

$\begin{array}{rcll}& = & \sqrt [3] {(-1)^{3} \times {3^{3}\times x^{3} \times y^{6}}} \times\sqrt [3] { 2 \times x^{2}} & \text{Separated the cubes}\\&=& \mathbf{-3xy^{2}\sqrt [3] {2x^{2}}} & \text{Took cube roots}\\\end{array}$

$\text{The simplified expression is $\boxed{\mathbf{-3xy^{2}\sqrt [3] {2x^{2}}}}$}$

6 0

4 years ago

Ray created the list of factors for 48 below.

nasty-shy [4]

The number 7 should be removed from his list to make the list accurate.

3 0

3 years ago

Read 2 more answers

In response to a survey question about the number of hours daily spent watching TV, the responses by the eight subjects who iden

Basile [38]

Answer:

a) $\bar X = \frac{2+2+1+3+1+0+4+1}{8}= 1.75$

b) The margin of error indicates we can be 95%confident that the sample mean falls within 0.89 of the population mean

Step-by-step explanation:

Part a

The best point of estimate for the population mean is the sample mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Since is an unbiased estimator $E(\bar X) = \mu$

Data given: 2 , 2 , 1 , 3 , 1 , 0 , 4 , 1

So for this case the sample mean would be:

$\bar X = \frac{2+2+1+3+1+0+4+1}{8}= 1.75$

Part b

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample