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3 years ago

State if the two triangles are congruent. If they are, state how you know.

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Answer:

Step-by-step explanation:

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4. What is the slope of the line that passes through the points (-5, -1) and (-5, -10)?

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Step-by-step explanation:

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3 years ago

( ) what is the relationship between the 81 degree angle and angle ''x''? what basic rigid motion could you use to prove this re

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Step-by-step explanation:

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3 years ago

The pairs of triangle are similar. Find its length.

pashok25 [27]

X would be 4 and y would be 6 ?

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3 years ago

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HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

Ivanshal [37]

Answer:

HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect each other, which means the diagonals bisect each other.

Step-by-step explanation:

We are given the following in the question.

HIJK is a parallelogram.

So it satisfies the property of parallelogram.

The diagonals of a parallelogram bisect each other.

That is the intersection of the diagonals of the parallelogram is unique and divide the diagonals in two equal parts each.

Thus,

HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect, which means the diagonals bisect each other.

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3 years ago

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A bacterial culture starts with 500 bacteria and doubles in size every half-hour.

tekilochka [14]

Answer:

a). 32000

b). $T_{t}=500\times 4^{t}$

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

$T_{n}=ar^{n}$

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

$T_{3}=500\times 4^{3}$

$T_{3}=32000$

b). After t hours number of bacteria will be represented by

$T_{t}=500\times 4^{t}$

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of $\frac{2}{3}$ hours

By the formula,

$T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}$

$T_{\frac{2}{3}}=1259.92$ ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

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3 years ago

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