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3 years ago

Which statement can be used to fill in the blank space?

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

If we draw a diagonal which will also be a transversal DB, then we get ∠ADB is congruent to ∠CBD by Alternate interior angles.

It will be the first option.

You might be interested in

What is a reasonable estimate for -3/2x (-5 1/4)

Leona [35]

To estimate, you should round some of the numbers to the closest number (rounding up or down). It will be more accurate the less you round. In this problem, we should round -5 1/4 to -5 since it is the closest. -5*-3/2 = 7.7. You will end up with -3/2x (-5 1/4) ≈ 7.5x

≈ means approximately equal.

5 0

3 years ago

Read 2 more answers

A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer

choli [55]

Answer:

there is a 64% chance that the student got both problems wrong

a 32% chance that they got only 1 correct

and a 4% chance that they got both correct

Step-by-step explanation:

There are 25 total possible combinations of answers, with 8 possible combinations where the student would get 1 answer right, and 1 combination where the student would get both answers correct.

$25-9=16$

$\frac{16}{25} =\frac{x}{100}$

$\frac{64}{100}$

$64$ %

$\frac{8}{25} =\frac{y}{100}$

$\frac{32}{100}$

$32$ %

$\frac{1}{25} =\frac{z}{100}$

$\frac{4}{100}$

$4$ %

3 0

3 years ago

For fun question

ZanzabumX [31]

Consider the function $f(x)=x^{1/3}$ , which has derivative $f'(x)=\dfrac13x^{-2/3}$ .

The linear approximation of $f(x)$ for some value $x$ within a neighborhood of $x=c$ is given by

$f(x)\approx f'(c)(x-c)+f(c)$

Let $c=64$ . Then $(63.97)^{1/3}$ can be estimated to be

$f(63.97)\approxf'(64)(63.97-64)+f(64)$
$\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375$

Since $f'(x)>0$ for $x>0$ , it follows that $f(x)$ must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function $f(x)$ . This means the estimated value is an overestimation.

Indeed, the actual value is closer to the number 3.999374902...

4 0

3 years ago

A city has a population of 230,000 people. Suppose that each year the population grows by 8.5%. What will the population be afte

worty [1.4K]

Answer:

720,682.92

Step-by-step explanation:

8.5% = 0.085

P(t) = Initial Population * (1 + rate)t

P(t) = 230,000(1 + 0.085)t

P(t) = 230,000(1.085)t

P(14) = 230,000(1.085)14

P(14) = 720,682.82

6 0

3 years ago

Solve the following equation by factoring. 6x 2 - 5x = 50 {-5/3, 5} {-5/2, 10/3} {-10/3, 5/2}

rosijanka [135]

The correct answer is <span>{-5/2, 10/3}.</span>

6 0

3 years ago