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3 years ago

Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the

Mathematics

1 answer:

jarptica [38.1K]3 years ago

8 0

Answer:

The perimeter of a triangle is equal to 18.81 inches.

Step-by-step explanation:

Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:

5 ^ 2 + 6 ^ 2 = X ^ 2

25 + 36 = X ^ 2

√61 = X

7.81 = X

5 + 6 + 7.81 = X

11 + 7.81 = X

18.81 = X

Therefore, the perimeter of a triangle is equal to 18.81 inches.

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35,600 is 8.3% of what number

Over [174]

This question can be solved by:
$\frac{8.3}{100} = \frac{35,600}{x}$

Cross multiply to get: 8.3x = 3,560,000

To let the x stand along (since you are finding the x value), divide 8.3 to both sides of the equal sign.

$\frac{8.3x}{8.3} = \frac{3560000}{8.3}$

Simplify to get the answer.

7 0

3 years ago

Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

================================================================

Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

================================================================

Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

================================================================

Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

A triangle has two sides of lengths 7 and 12. What value could the length of

Norma-Jean [14]

Answer:

A. 7

Step-by-step explanation:

Since the triangle sides are not defined, therefore let the base side have the 12 unit and one of the slant side be 7 unit.

Therefore height of the triangle, h can gotten from the Pythagoras theorem as thus:

7² = (12/2)² + h²

49 = 36 + h²

h² = 49 - 36 = 13

h = √13

knowing the height of the triangle, we can apply same rule to the other unknown slant side, x as thus:

x² = (12/2)² + h²

x² = 36 + 13 = 49

x = √49

x = 7

4 0

3 years ago

Line JK passes through points j(-4, -5) and k(-6,3) If The Equations of the line is written in slope intercept form y=mx+b what

tamaranim1 [39]

Asked and answered elsewhere.
brainly.com/question/10440096

The value of b is -21.

7 0

3 years ago

Please help I will mark Brainly

Bas_tet [7]

okay so you would go down to -8, then the slope would be 4/1 which means to go up four and then over one. then you have the line.

i hope this helps you!

8 0

4 years ago

Read 2 more answers