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Andre45 [30]
3 years ago
14

Xavier Designs has the logo shown below on their office door. The logo has two smaller congruent triangles that are similar to t

wo larger congruent triangles.
If w = 11.25 inches, x = 15 inches, y = 4.5 inches, a = 18 inches, and b = 18 inches, what is the area of the space around the triangles on the logo?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

183.375 in2

Step-by-step explanation:

I did it on study island.

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1/4 is the answer

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1/4 is equal to 25% and 25% is less than 40%

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Recall that the sum of the measures of the angles of a triangle is 180°. In the triangle below, angle Chas the same measure as a
Effectus [21]

The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

To learn more about triangles  click on the link below:

brainly.com/question/17335144

#SPJ9

8 0
1 year ago
If both cars in Exercise 62 are on one side of the plane and if the angle of depression to one car is 38∘ and that to the other
Sati [7]

The two cars lying on one side of the plane are 50 meters apart.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

let us assume that the height is 100 m. Let d represent the horizontal distance. For depression of 38°, Ф = 90 - 38 = 52°, hence:

tan(52°) = d / 100

d = 128 m

For depression of 52°, Ф = 90 - 52 = 38°, hence:

tan(38°) = d / 100

d = 78 m

Distance apart = 128 - 78 = 50 m.

The two cars lying on one side of the plane are 50 meters apart.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
1 year ago
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