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3 years ago

In the diagram, ∠ADE ≅ ∠ABC. The ratios_ and _ are equal.

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

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

Step-by-step explanation:

triangle ADE and triangle ABC are similar

therefore, the ratio of their corresponding sides are equal

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Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry

almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

$\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}$

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0

3 years ago

What is 80%of 1,60 will mark brainliest

cluponka [151]

Answer:

Step-by-step explanation:

Converte 80% into a decimal (devide it by 100) = 0.8

Then multiply 0.8 by 1.60 = 1.28 (final result)

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2 years ago

359, 357, 348, 347, 337, 347, 340, 335, 338, 348, 339, 356, 336, 358 a. median: 359 mode: 358 c. median: 347 mode: 347 AND 348 b

Elodia [21]

Answer:

Option C (Median: 347 and Mode: 347 and 348)

Step-by-step explanation:

Median is the middle point of the data and mode is the most repeated observation is the data. The first step involved in calculating the median it to list the observations in the ascending order. This gives:

335, 336, 337, 338, 339, 340, 347, 347, 348, 348, 356, 357, 358, 359

The second step is to identify the middle number (in case the observations are in odd numbers) or numbers (in case the observations are in even numbers) after the ascending order step has been done. It can be observed that the middle numbers in this data set are 347 and 347. Since there are two numbers, so their average will be the median of this data set. Therefore, the median is 347. It can be seen that maximum repetitions are 2 times for 347 and 348. So the mode is 347 and 348.

Therefore, Option C is the correct answer!!!

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3 years ago

A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this le

m_a_m_a [10]

Area = 36 = length*width

Then, while the area is constant the product length*width is constant.

Length and area are inversely related.

That means that to keep the same product (area), length vary in inverse proportion to width.

If you increase length, widht has to decrease to satisfy this relation:

width = 36/length

Of course, you can also say: length = 36 / width.

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3 years ago

Find the circumference of a circle with a radius of 35 inches in terms of 7 and to the nearest tenth of an inch.

Lera25 [3.4K]

Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = $2\pi r$