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4 years ago

Congruency statements

Mathematics

1 answer:

Alexus [3.1K]4 years ago

8 0

ΔABC ≅ ΔDEF

I find it easier to see the congruencies if I write them underneath each other:

∠A ≅ ∠D $\overline{AB}$ ≅ $\overline{DE}$

∠B ≅ ∠E $\overline{BC}$ ≅ $\overline{EF}$

∠C ≅ ∠F $\overline{AC}$ ≅ $\overline{DF}$

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9. Find the smallest number which when divided by 36 or 24 or 40 the remainder is always 5.

kati45 [8]

Answer:

1. 31

2. 19

3. 35

Step-by-step explanation:

Let smallest number be x ,

the remainder = 5

so, x = 5

= x-5

= 36-5

=31

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3 years ago

The height of water in a rectangular tank is given by h(w), where w is the volume of water (in liters) that has been removed fro

zmey [24]

Answer:

a) ΔL = 80mm

b) h = 600 - 10w mm

Step-by-step explanation:

a. From the time when 7 L have been removed to the time when 15 L have been removed, the change in the volume has been 8L and how the height of the water decreases 10mm per liter removed, then the acumulate change in the height of water has been (8lt)(10mm/lt) = 80 mm

b) If w liters have been removed, then the change in the height of water is (10mm/lt)(wlt) = 10w mm and thus the water's height at this precise point in time is 600 - 10w mm

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3 years ago

When you multiply two positive integers the product is a positive integer

malfutka [58]

Answer:

Yes, you are correct.

Step-by-step explanation:

Step 1. If you are multiplying to positive integers, just know it cant be negative.

Step 2.The product will always be positive when your multiplying 2 positive integers.

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3 years ago

A decision model that presumes an environment where problems are clearly defined, all possible action alternatives are known, an

katrin [286]

Answer:

B. Classical

Step-by-step explanation:

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4 years ago

a sixth grade class has 12 boys and 24 girls consider this statement: <br />for every two boys there are 4 girls do you ag

Nitella [24]

So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4? let's see.

$\bf \cfrac{boys}{girls}\qquad 12:24\qquad \cfrac{12}{24}\implies \boxed{\cfrac{1}{2}}
\\\\\\
\cfrac{boys}{girls}\qquad 2:4\qquad \cfrac{2}{4}\implies \boxed{\cfrac{1}{2}}$

you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4 and stop there.

then you'll notice that 12/24 is really 2/4 in disguise.

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3 years ago