Is it possible for a right triangle with a leg that is 12 inches long and a hypotenuse that is 37 inches long to be congruent to a right triangle with a leg that is 35 inches long and a hypotenuse that is 37 inches long? Complete the explanation.


Yes
. Let the remaining leg of the first triangle have a length of x inches. Then by the Pythagorean Theorem, x2 + 122 = 372. So, x2 + 144 = 1,369, x2 = 1,225, and x =
. Therefore, the hypotenuse and a leg of the first right triangle are congruent to the hypotenuse and a leg of the second right triangle, so the triangles
are
congruent by the HL Triangle Congruence Theorem.

Answer:

1) y = 3/2

2) y = -5/3

Step-by-step explanation:

If x = 2/3, y = 3/2

If x = -3/5, y = -5/3

Answer:

C

Step-by-step explanation:

A heptagon is a polygon with 7 triangles. (a)

Thus, The area (A) will be = 7a

[tex]The \ area \ of \ \ triangle \ = (1/2) \times b \times h[/tex]

where;

b = base

h = height

So;

[tex]7a = \dfrac{1}{2}(bh)[/tex]

where;

b = 22.15 unit and h = 23 unit

∴

[tex]A = \dfrac{7 \times b \times h}{2} \\ \\ A = \dfrac{7 \times 22.15 \times 23}{2} \\ \\ A = 1783.07 \ sq. units \\ \\ A \simeq 1783 \ sq. units \\ \\[/tex]

Answer:

1783

Step-by-step explanation:

Answer:

Angle Bisector.

Step-by-step explanation:

Okay.

SU is the line across the triangle.

It isn't perpendicular because it will meet the lines eventually.

Median is a number.

I believe It's the Angle Bisector, but i'm going off of a gut feeling.

Answer:

16 < n < 40

Step-by-step explanation:

use triangle inequality theorem:

n = length of third side

12 + 28 > n;    n > 40

12 + n > 28;    n > 16

n + 28 > 12  (this inequality can be discounted because it results in a negative)

9514 1404 393

Answer:

  9.  not possible

  13, 14, 19.  AAS — 13: WYX≅AYZ; 14: CFD≅CEB; 19: DEH≅GEF

  15, 16.  not possible

Step-by-step explanation:

9. You're looking for three sides, or two sides flanking a congruent angle. Here, the angle is not between the two sides, so the SAS theorem does not apply. Proving congruence is not possible.

__

13, 14, 19. You have two adjacent angles, followed by a side, so the AAS theorem will prove congruence.  

When you write the congruence statement, you need to make sure the nodes are named in corresponding order. It can be useful to name the nodes in the same order as the elements you claim for congruence. For these, we name the two angle nodes first, then the other end of the side.

13: WYX≅AYZ; 14: CFD≅CEB; 19: DEH≅GEF

__

15, 16. With only one angle and one side, it is not possible to prove congruence.

_____

Additional comment

With these theorems, you are looking for angles or sides that are adjacent (next to each other). In figure 9, there are two sides and an angle, so you might be tempted to claim SAS congruence. The name SAS means the angle must be between the two sides. In that figure, the two sides are adjacent, and the angle is adjacent to only one of the sides (not between them). Hence SAS does not apply.

(You will find later that two sides and a non-adjacent angle will define a unique triangle if, and only if, the angle is opposite the longest of the two given sides. In figures like these, no side lengths are given, and you are not allowed to rely on appearances.)

Answer:

3/5

Step-by-step explanation:

Slope = rise/run = (4-1)(1- -4) = 3/5.

Answer: 311 bears

Step-by-step explanation:

Population increased by 115% in the 35 years from 1970 to 2005.

Population in 2005 is:

= 270 * 115/100

= 310.5

= 311 bears

Answer:

581

Step-by-step explanation:

270x%115=310.5

We have to round 310.5 to the nearest So 310.5 will be 311  

So if it increased by 115%  we have to add the 115% to 270

270+311= 581  

By the 2005 the population will be 581

Answer:

y=1, x=2

Step-by-step explanation:

x+y=3

x-y=1

Using elimination method

x-x+y--y=3-1

2y= 2

y=1

Substitute y=1 into equation 2

x-1=1

x=1+1

x=2

Answer:

x=1!y=2 submitted that values in question u got answers see please likable

Answer: no its one solution

Step-by-step explanation:

Answer:

c=12

Step-by-step explanation:

Answer: The last one  ([tex]8^{2}[/tex])

Step-by-step explanation:

Here’s why:

the 2 on top of the 8 is called an exponent and it means that you need the multiply 8 times itself two times (8 x 8), and if you know your times tables you know that 8 x 8 is 64 not 16

The above equation equals -27

Answer:

4 cups of yellow with 7 cups of blue

Step-by-step answer:

simply just double both amounts of paint and the ratios should even making the same shade of paint

Answer:

Every repeating or terminating decimal is a rational number

Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.

Answer:

r=9

Step-by-step explanation:

Answer:

Right, 6 cm is the height. 5 cm is the base

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

Answer:

1,000

Step-by-step explanation:

Answer:

0.1%

Step-by-step explanation:

138 into a percent=1.38%

156 into a percent=1.56%

175 into a percent=1.75%

1.38-1.56=0.18

1.56-1.75=0.19

0.19-0.18= 0.1%

The increase in volunteers from year 1 to year 2 is 13.04 % and the increase from year 1 to year 3 is 26.81 %.

The percentage can be defined as a relative value that represents the hundredth part of any quantity.

Given that the number of volunteers in a program during year 1, year 2 and year 3 are 138, 156 and 175 respectively.

The percentage of increase in volunteers from year 1 to year 2 is given below.

Volunteers (%) = [tex]\dfrac {156-138}{138} \times 100[/tex]

Volunteers (%) = 13.04%

The percentage of increase in volunteers from year 1 to year 3 is given below.

Volunteers (%) = [tex]\dfrac {175-138}{138} \times 100[/tex]

Volunteers (%) = 26.81 %

Hence we can conclude the increase in volunteers from year 1 to year 2 is 13.04 % and the increase from year 1 to year 3 is 26.81 %.

To know more about the percentage, follow the link given below.

https://brainly.com/question/8011401.

Answer:

Step-by-step explanation:

Answer:

19.26%

Step-by-step explanation:

Given the original selling price of DVD player as ​$179.30 and the new sale price to be ​$144.77, the the first step in finding the percent​ markdown is to take the difference between the original selling price and the sale price to give $179.30 - $144.77 = $34.53

Percent markdown = original selling price- new sale price/original selling price × 100%

Percent markdown = $34.53/$179.30 × 100%

% markdown = 19.26%

I think the answer is 62 ? I have never seen this kind of math?

Answer:

The answer is 143

Step-by-step explanation:

Because if you subtract 152-149 it equals 3 and same with 149-146 so it means that the sequence is going down by 3 each time. Hope that helps!

Answer:

D

Step-by-step explanation:

It doesn't follow the rise over run rule

Answer:

I believe it’s 96

Step-by-step explanation:

Hope I helped a little

Answer: here you go!

Step-by-step explanation: hope this helps!

Answer:

C

Step-by-step explanation:

Answer: I think it’s 8

Step-by-step explanation: because it can’t be the other ones

Answer:

20 divided by 4

Step-by-step explanation:

because 5 times 4 is 20