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Mnenie [13.5K]
3 years ago
5

Help Please! Determine if the two triangles are congruent.

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

AAS

Step-by-step explanation:

Hope this helps

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The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the
melamori03 [73]
The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width

Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z). 
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59      ←59 plus twice the width (x)
z = y + 2           ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
5 0
3 years ago
Is the equation = 0.25 + 0.5(– 2) linear or nonlinear?
ollegr [7]

Answer:

-0.75 linear

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELPPP pls pls pls tyty
Evgen [1.6K]

Answer:

A=72CM^2

Step-by-step explanation:

The answer is 72cm^2 because the area of a triangle is h x b divided by two because the triangle is half of a square, since the square is side times side, the answer is 12x12 divided by two, wich is 144/2. The final answer is 72

                                                                                           

5 0
2 years ago
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Which of the following is a<br> Whole Number?<br> A: 0.252<br> B: 16 <br> C:1/2<br> D: 14
kirza4 [7]

Answer:

The options B and D both are whole numbers

explanation:

a number without fractions; and decimals is called a whole number

hope this helps!

7 0
2 years ago
Read 2 more answers
Find the sum of 10 + 5i and its complex conjugate.<br> Write your answer in the form a + bi
gogolik [260]

Answer:

20.

Given, complex number is 10+5i .

We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.

7 0
2 years ago
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