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3 years ago

Suppose △LPO ≅ △HJU. What is the corresponding congruent parts for each segment or angle?

Mathematics

1 answer:

SashulF [63]3 years ago

5 0

Answer:

NG ( first and last letter of NBG) = WS ( first and last letter of WTS).

BG = TS

G = S

N =W or NG = WS; BG = TS; G = S; N = W.

Step-by-step explanation:

We use the congruence statement to answer these questions. From the way the congruence statement is written, we can see that N = W (they are in the same relative position in the congruence statement). We also see that G and S are in the same relative position, so G = S.

Since N = W and G = S, this means that NG = WS.

From the congruence statement we can also see that B = T (they are in the same relative position). Since G = S, this means that BG = TS.

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A typical adult human body contains approximately 2.500 L of blood plasma. How many grams of blood plasma are in the typical adu

Ira Lisetskai [31]

Answer:

2,575 grams of blood plasma are in the typical adult human body

Step-by-step explanation:

Density is the property that matter, whether solid, liquid or gas, has to compress into a given space, so it relates the amount of mass per unit volume. So the density of a substance is the quotient between mass and volume:

$density=\frac{mass}{volume}$

In this case, you know:

density=1.03 $\frac{g}{mL}$
mass= ?
volume= 2.5 L= 2,500 mL (being 1 L= 1,000 mL)

Replacing:

$1.03\frac{g}{mL} =\frac{mass}{2,500 mL}$

and solving, you get:

mass= 1.03 $\frac{g}{mL}$ *2,500 mL

mass= 2,575 g

<u><em>2,575 grams of blood plasma are in the typical adult human body</em></u>

5 0

3 years ago

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(paint cans contain less than 5.54 ml of the dye)

$P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)$

Calculation the value from standard normal z table, we have,

$P(x < 5.54) =0.9115 = 91.15\%$

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

5 0

3 years ago

The value of a car after t years can be found using the formula V = C(1 - r)t, where V is the current value of the car, C is the

Stells [14]

The given formula is
$V = C(1-r)^{t}$

Therefore
$(1-r)^{t} = \frac{V}{C} \\\\ 1-r = ( \frac{V}{C} )^{1/t} \\\\ r = 1 - ( \frac{V}{C} )^{1/t}$

Given:
C = $25,000
V = $12,000
t = 4.5 years

C/V = 0.48
1/t = 0.2222
Therefore
$r = 1 - 0.48^{0.2222} = 0.1505 = 15.05\%$

Answer: 15% (nearest integer)

8 0

3 years ago

9-4n in an arithmic sequence

Nastasia [14]

Supposing we begin with n=1, the first few terms of this arith sequence are
5, 1, -3, -7, and so on. 4 is the common difference.

7 0

3 years ago

bob has 64 cups. could he distribute them into 6 equally in stacks and not have any left over? Explain

Iteru [2.4K]

Bob cannot distribute the cups in six equal stacks and not have any left over.

Step-by-step explanation:

In order to divide the total number of cups in six equal stacks with no left over, the total number of cups will be divided by 6, if there is any remainder then the cups cannot be equally divided with no left over.

Dividing 64 by 6

$= \frac{64}{6} \\= 10\frac{4}{6}$

Here

Quotient = 10

Remainder = 4

As there are 4 cups left, Bob cannot distribute the cups in six equal stacks and not have any left over.

Keywords: Division, fractions

Learn more about division at:

#LearnwithBrainly

8 0

2 years ago