All categories

3 years ago

Please helpp don’t know how to solve

Mathematics

1 answer:

trapecia [35]3 years ago

6 0

Answer:

65 cm

Step-by-step explanation:

Hey There!

So the congruency statement ABC = TUV

states that side AB = side TU side BC = side UV and side CA = side VT

The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x

7x+2=6x+11

step 1 subtract 2 from each side

2-2 cancels out

11-2=9

Now we have

7x=6x+9

step 2

subtract 6x from each side

7x-6x=x

6x-6x cancels out

now we have 9=x so x=9

Now we just plug in 9 to x in (6x+11)

to find the length of the given side length

6x9=54

54+11=65

Because side VU and side BC are congruent they both equal 65 cm

So we can conclude that the length of the given sides is 65 cm

<em>The1AndOnlyMarkus</em>

You might be interested in

Pls help...mhdusbdhsj

Karo-lina-s [1.5K]

Answer:

270

Step-by-step explanation:

-6 multiply 5 gives you -30

-3 multiply -3 gives you -9

-30 multiply 9 gives you

-270

4 0

2 years ago

What is the slope of the line that contains these points?

RUDIKE [14]

-8-(-5)/8-5 = -3/3 = -1

8 0

3 years ago

Read 2 more answers

Ratio 15 to 35 written as a fraction

PilotLPTM [1.2K]

15/35

3/7 the answer is 3/7 which is written in the lowest terms

5 0

3 years ago

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$