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3 years ago

(02.05 MC) What coordinate for F would make triangle ABC and triangle DEF congruent?

Mathematics

1 answer:

ozzi3 years ago

3 0

Answer: (-2,3)

Step-by-step explanation: To figure out where the missing point, D, would go, you have to figure out which side DE is congruent to and what side is missing. I saw that DE is correlates to the base of the triangle because that's the only one of that length. From there, I counted up from the center of the base, DE, to find a good place for the vertex, and made sure it was the same exact distance from DE as C is from the base of the first triangle.

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If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?

tatyana61 [14]

Answer:

Step-by-step explanation:

Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.

Now, lets expand the given equation:

$a^2-b^2=100$

$(a+b)(a-b)=100$

Lets say: $(a+b)=p$ , $(a-b)=q$

Let us consider the factor pairs of 100.

$(1 \times 100), (2 \times 50), (4 \times 25), (5 \times 20), (10 \times 10), (20 \times 5), (25 \times 4), (50 \times 2), (100 \times 1)$

Only factor pair $(2,50)$ gives us the integer values of 'a' and 'b'.

$a+b=50$ ....equation (1)

$a-b=2$ ........ equation (2)

adding equation 1 and 2, we get:

$2a=52$

$a=\frac{52}{2}=26$

$a-b=2$

Plugging the value of 'a' in the equation 2

$26-b=2$

$b=24$

So the greatest possible value of 'a' is 26.

5 0

4 years ago

Describe two different cross section shapes that can be formed by slicing a cone

PilotLPTM [1.2K]

Answer:

Hey!

The 2 shapes made from a cross section of a cone is a TRIANGLE and a CIRCLE

(which would reduce/increase in size depending on if you cut it closer to the base or the top)

Step-by-step explanation:

HOPE THIS HELPS!!

3 0

3 years ago

Solve m=10x−x for x help

viva [34]

Hello there!

m = 10x - x, solve for x.
First, we need to combine like-terms.
10x - x = 9x.

We now have:
m = 9x
Divide both sides by 9 to solve for x.
x = $\frac{m}{9}$

I hope this helps!

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3 years ago

Convert 103 centimeters to inches por favcor please!

Montano1993 [528]

Answer:

40.5512 inches

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Help me plzzzzzzzzzzz i dont know what to write anymore gosh <3

kotykmax [81]