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polet [3.4K]
3 years ago
5

In the diagram below, ABC - DEC. What is the value of x? A 5 B. 3 C. 6 D. 4​

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BC}{EC} = \frac{AC}{DC}, substituting values

\frac{21}{7} = \frac{24-x}{x} ( cross- multiply )

21x = 7(24 - x) ← distribute

21x = 168 - 7x ( add 7x to both sides )

28x = 168 ( divide both sides by 28 )

x = 6 → C

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Design minimal 2-level AND-OR and NAND-NAND realizations of the following logic function. Draw circuit diagrams of your realizat
Delicious77 [7]

Answer:

Realization :

since there are 3-variable. Therefore 2ⁿ = 2³ = 8

From the attached solution, f(x,y,z) = y' + xz'

also' see the circuit diagrams of my realizations of AND-OR and NAND-NAND

Step-by-step explanation:

See attached picture for minimal 2-level AND-OR and NAND-NAND of the logic function.

f(x,y,z) = y' + xz' was designed from the function  f(x,y,z) = Σm(0,1,4,5,6)

Then, minimal 2-level AND-OR was designed and after was NAND-NAND designed as well.

5 0
3 years ago
Help me please, I need help with this it's a major grade so please don't joke around I will give brainliest and 5 stars
erma4kov [3.2K]

Answer:

D

Step-by-step explanation:

a clockwise rotation 90 degrees results in a transformation like this:

(x,y)⇒(y,-x)

plz mark me brainliest. :)

3 0
3 years ago
5. There are 4200 bacteria in a lab dish. The population decreases 8%per day. How many bacteria are there after day 1? Round to
Mamont248 [21]

Answer:There are 4200 bacteria in a lab dish. The population decreases 8%per day. How many bacteria are there after day 1? Round to nearest whole number

Step-by-step explanation:

8 0
3 years ago
In the figure is a right triangle ABC with AC=10cm and BC=6cm. Determine: 1.5.1 The height AB (hint: Theorem of Pythagoras)
Alexxandr [17]

Answer:

height AB is 8 cm

Step-by-step explanation:

AB= √AC^2- BC^2

= √(10)^2- (6)^2

= √100-36

= √64

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3 years ago
Solve the following equation by factoring. <br><br> 2x2−7x+3=0
slava [35]

Answer:

x=3

Step-by-step explanation:

Step 1: Factor left side of equation.

(2x−1)(x−3)=0

Step 2: Set factors equal to 0.

x−3=0

ANSWER:

x=3

8 0
3 years ago
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