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Mademuasel [1]
3 years ago
7

Angle ABC is congruent to

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent. If in triangles ABC and DEF, angle A = angle D = right angle, AB = DE (leg), and BC = EF (hypotenuse), then triangle ABC is congruent to triangle DEF.

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A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra
CaHeK987 [17]

Consider rectangular box with

  • length x units (x≥0);
  • width 3 units;
  • height (8-x) units (8-x≥0, then x≤8).

The volume of the rectangular box can be calculated as

V_{box}=\text{length}\cdot \text{width}\cdot \text{height}.

In your case,  

V_{box}=3\cdot x\cdot (8-x).

Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).

From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.

Then the volume will be V=0 (minimal).

Answer: correct choices are B (the maximum possible length), C (the minimum possible height)

7 0
3 years ago
What is the image of point (-6,1) after the reflection over the line y=2
Lynna [10]
The image is (-6, 3)

Hope it helps!
5 0
3 years ago
The distance between City A and City B is 250 miles. A length of 2.3 feet represents this distance on a certain wall map. City C
masya89 [10]

The distance between city C and city D is 450 miles.

<u>Solution:</u>

Given, The distance between City A and City B is 250 miles.  

A length of 2.3 feet represents this distance on a certain wall map.  

City C and City D are 4.14 feet apart on this map.  

We have to find what is the actual distance between City C and City D?

Now, distance between a and b is 250 miles ⇒ 2.3 feet on map

Then, distance between c and d be n miles  ⇒ 4.14 feet on map.

Now, by chris cross method.

250 x 4.14 = 2.3 x n miles.

2.3n = 1035

n = 450

Hence, the distance between city C and city D is 450 miles.

8 0
3 years ago
Which expression represents a factorization of 16a - 24ab
Marizza181 [45]

I would choose A

You can simply try every answer and see which one gives you 16a-24ab

4 0
3 years ago
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
dedylja [7]

The height of the model is 6.1 inches.

If 1 inch represents 50 feet, to find the answer, divide 305/50.

the answer is 6.1 inches.

Hope this helps, and have a fantastic day.

7 0
2 years ago
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