If ADE ABC in this diagram, which pair of ratios must necessarily be equal?

Mathematics

2 answers:

ad-work [718]3 years ago

8 0

Answer:

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}$

Step-by-step explanation:

we know that

Triangle ADE and Triangle ABC are similar

therefore

the ratio of their corresponding sides are equal

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}$

solong [7]3 years ago

4 0

From the diagram, the the pair of ratios that should be equal is the ratio between the sides of each triangle. For instance,

AE/EC = AD/DB

This ratio of the lengths should be equal so that the figure can be true. Hope this answers the question.

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A physical fitness association is including the mile run in its secondary- school fitness test. the time for this event for boys

liberstina [14]

Answer:

<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

μ of the time a group of boys run the mile in its secondary- school fitness test = 440 seconds

σ of the time a group of boys run the mile in its secondary- school fitness test = 40 seconds

2. Find the probability that a randomly selected boy in school can run the mile in less than 348 seconds.

Let's find out the z-score, this way:

z-score = (348 - 440)/40

z-score = -92/40 = -2.3

Now let's find out the probability of z-score = -2.3, using the table:

p (-2.3) = 0.0107

p (-2.3) = 0.0107 * 100

p (-2.3) = 1.1% (rounding to the next tenth)

<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>

4 0

2 years ago

Read 2 more answers

Find f(-2) for the function f(x)= 3x2-2x+7

4vir4ik [10]

Answer:

f( - 2) = 23

Step-by-step explanation:

$f(x) = 3 {x}^{2} - 2x + 7 \\ plug \: x = - 2 \\ f( - 2) = 3 {( - 2)}^{2} - 2( - 2)+ 7 \\ = 3 \times 4 + 4 + 7 \\ = 12 + 11 \\ \huge \red{ \boxed{ f( - 2) = 23}}$