All categories

3 years ago

Help please :) im not too good at math aha

Mathematics

1 answer:

DIA [1.3K]3 years ago

7 0

Answer:

x = 3 and y = 2

Step-by-step explanation:

For the triangles to be congruent.

The hypotenuse and a leg of one triangle and the hypotenuse and a corresponding leg of the other triangle must be congruent, that is

x = y + 1 → (1) congruent legs

3y = x + 3 → (2) congruent hypotenuse

Substitute x = y + 1 into (2)

3y = y + 1 + 3, that is

3y = y + 4 ( subtract y from both sides )

2y = 4 ( divide both sides by 2 )

y = 2

Substitute y = 2 into (1)

x = 2 + 1 = 3

You might be interested in

The base of a rectangular prism is 5.4 centimeters long and 4.9 centimeters wide. It is 3.8 centimeters tall. What is the volume

lorasvet [3.4K]

So, We Need To Examine The Problem. So, We Know That We Need To Find The Volume Of A Rectangular Prism. We Also Know That The Dimensions Are 4.9 • 3.8 • 5.4.
So, We Need To Remember The Formula For Volume Of A Rectangular Prism.
V = B • W • H
So, we need to plug in the known values.
V = 4.9 • 3.8<span> • 5.4.
So, Lets Solve.
4.9 • 3.8 = 18.62
18.62 * 5.4 = 100.548 cm²
Now We Have:
V = 100.548cm²
It Rounds To 100.5cm²</span>

7 0

3 years ago

A bus averages 4 miles per hour faster than a motorcycle. If the bus travels 180 miles in the same time it takes the motorcycle

klemol [59]

Can u send me a picture of the question instead please because i dont understand what ur trying to ask..

3 0

3 years ago

Read 2 more answers

A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0

oksian1 [2.3K]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z^* SE$ (1)

, where $\overline{x}$ = sample mean

z* = critical value.

SE = standard error

and $SE=\dfrac{\sigma}{\sqrt{n}}$ , $\sigma$ = population standard deviation.

n= sample size.

As per given , we have

$\overline{x}=74.021$

$\sigma=0.001$

n= 15

It is known that ring diameter is normally distributed.

$SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199$

By z-table ,

The critical value for 95% confidence = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

$74.021\pm (2.576) (0.000258199)$ (using (1))

$74.021\pm 0.000665120624$

$74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)$ [Rounded to three decimal places]