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2 years ago

Which postulate can be used to prove that ABD and CBD are congruent given that BD and AC and BD bisects AC

Mathematics

1 answer:

laila [671]2 years ago

8 0

Answer:

SAS

Step-by-step explanation:

Here we are given two situations:

BD⊥AC

This indicates that angle ADB and CDB are 90 degrees.

Aso we are given that BD bisects AC.

This indicates that AD=DC

So in triangles ADB and CDB , we have

BD=BD (common) (Side)

angle ADB= angle CDB (Angle)

AD=DC (side)

So the two triangles are congruent by SAS congruency.

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What is the value of 4x2 + 5x when x= 1?

Darina [25.2K]

Answer:

Explanation:

Insert 1 for 'x'

(4)(1)(2) + 5(1)

(4)(1)(2) = 8

5(1) = 5

8 + 5 = 13

6 0

2 years ago

Read 2 more answers

Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25

stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

add 25 and take the square root: x^2=25; x=±√25.
factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.

5 0

2 years ago

An article in Medicine and Science in Sports and Exercise "Maximal Leg-Strength Training Improves Cycling Economy in Previously

Hatshy [7]

Answer:

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

$299.4\leq\mu\leq 330.6$

Step-by-step explanation:

We have to construct a 99% confidence interval for the mean.

A sample of n=7 males is taken. We know the sample mean = 315 watts and the sample standard deviation = 16 watts.

For a 99% confidence interval, the value of z is z=2.58.

We can calculate the confidence interval as:

$M-z\sigma/\sqrt{n}\leq\mu\leq M+z\sigma/\sqrt{n}\\\\315-2.58*16/\sqrt{7}\leq\mu\leq 315+2.58*16/\sqrt{7}\\\\315-15.6\leq \mu\leq 315+15.6\\\\299.4\leq\mu\leq 330.6$

The 99% confidence interval for the mean peak power after training is [299.4, 330.6]

5 0

2 years ago

If you buy a car for 15500 an average on an average a new car loses 11% of its value the moment that is driven off the lot once

AfilCa [17]

Answer:

$13,795

Step-by-step explanation:

15500/x=100/11

(15500/x)*x=(100/11)*x - we multiply both sides of the equation by x

15500=9.0909090909091*x - we divide both sides of the equation by (9.0909090909091) to get x

15500/9.0909090909091=x

1705=x

x=1705

now we have:

11% of 15500=1705

8 0

2 years ago

Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.

Serggg [28]

For this case we have a function of the form:
$y = A * (b) ^ x
$
Where,
A: initial amount
b: decrease rate
x: time in days
Substituting values we have:
$y = 40 * (0.85) ^ x
$
Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
Answer:
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis

7 0

2 years ago