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3 years ago

Vertical angles are always congruent true or false

Mathematics

2 answers:

Trava [24]3 years ago

5 0

If two angles are vertical angles, then they're congruent

Sphinxa [80]3 years ago

3 0

This answer would be true

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A woman invested 4 times as much as 5% as she did at 6%. The total amount of interest she earns is 1 year from both accounts is

Mnenie [13.5K]

Answer:

at 5% interest, she invested $8,000

at 6% interest, she invested $2,000

Step-by-step explanation:

Let the invested amount at 5% interest = x

Let the invested amount at 6% interest = y

x = 4y - - - - (1) (A woman invested 4 times as much as 5% as she did at 6%)

5% of x = 0.05x

6% of y = 0.06y

0.05x + 0.06y = 520 - - - - (2) (The total amount of interest she earns is $520)

putting the value of x gotten in equation (1) into eqn (2):

0.05x + 0.06y = 520

where x = 4y

∴ 0.05(4y) + 0.06y = 520

0.2y + 0.06y = 520

0.26y = 520

y = 520 ÷ 0.26

y = $2000

from eqn (1)

x = 4y

since y = 2000

x = 4 × 2000

x = $8000

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3 years ago

A 20kg patient requires a 500 mg dose of a particular drug solution contains 100 mg/tsp. How many milliliters of the solution sh

Annette [7]

Answer:

The answer is "25 ml".

Step-by-step explanation:

Dose $= 500 \ mg\\\\$

Solution $= 100\ \frac{mg}{teaspoonful}\\\\$

Calculating the Conversions:

Teaspoonful $= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}$

$\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml$

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3 years ago

Graph the line that has an x intercept (-3,0) and y intercept (0,-5)

Licemer1 [7]

Answer:

Step-by-step explanation:

Plot points at the given points and connect with a line.

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4 years ago

How do you do this? please help me

Anastaziya [24]

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = $\frac{1}{2} (Base)(Height)$

Where Area = 12 cm², Base = 4 cm

12 = $\frac{1}{2}(4)(Height)$

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC $(f)$

So,

f = 10 cm

Now, Finding g

Area of ABCD = $Base * Height$

Where Area = 48 cm², Base = 10 cm

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

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3 years ago

A computer program used to organize numerical data in table format is called a___

astraxan [27]

Answer:

The answer is spreadsheet

7 0

3 years ago

Vertical angles are always congruent true or false​

Vertical angles are always congruent true or false