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3 years ago

Find the following angles

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

7 0

If AC is a diagonal, we know that it cuts angle C in half. And we know that triangles add up to 180 degrees, as do supplementary angles.

Angle C: 45 degrees

90 / 2 = 45

Angle E: 108 degrees

180 = 63 + 45 + x

x = 72

E = 180 - 72 = 108

Angle A: 90 degrees

This is a square, and since AC is a diagonal, which cuts the angle in half, A must be 90 degrees.

Angle B: 117 degrees

180 - 63 = B

B = 117

Hope this helps!! :)

Serga [27]3 years ago

3 0

Answer:

Downwards ↓

Step-by-step explanation:

a°=90° (right angle)

c°=45° (diagonal)

b°=180-63 (angles on a straight line)

=117°

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Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the nu

Basile [38]

Answer:

a) 0.8841

b) 0.0435

Step-by-step explanation:

A : the set of joints deemed defective by inspector A.

B: the set of joints deemed defective by inspector B.

U: the set of all joints.

The problem says |A|=724, |B|=751, |A∪B|=1159, |U|=10000. Hence, with the help of Venn diagram we can answer the following:

Part a)

This asks for the number of joints that are ∉(A∪B).

hence,

P (∉(A∪B)) :

$\frac{10000-1159}{10000} \\\\=0.8841$

part b)

This asks for the number of joints that are in B but not in A, which Is represented as the set B−A

$= \frac{|B| - |AandB| }{|U|}\\\\= \frac{751-316 }{10000}\\\\= 0.0435$

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2 years ago

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal. Is Kyle's claim

Savatey [412]

The claim made by Kyle is not entirely true and unjustifiable because for the figures or solids to be similar, not only the corresponding sides should have the finite ratio but also the corresponding angles should be equal. Although, the claim depends on the type of quadrilateral.

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3 years ago

Read 2 more answers

1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:

MA_775_DIABLO [31]

Answer:

Cuadrilátero A: $A = y^{2}+4\cdot y +4$

Cuadrilátero B: $A = a^{2}+6\cdot a + 9$

Step-by-step explanation:

Existen dos formas distintas de determinar las áreas de cada cuadrilátero:

(i) <em>Obtener el área de cada cuadrado y sumar los resultados.</em>

(ii) <em>Calcular los lados del cuadrilátero grande y determinar el área. </em>

Cuadrilátero A

Método (i)

$A = y^{2}+2\cdot y +4+2\cdot y$

$A = y^{2}+4\cdot y +4$

Método (ii)

$A = (y+2)\cdot (y+2)$

$A = y^{2}+4\cdot y + 4$

Cuadrilátero B

Método (i)

$A = a^{2}+3\cdot a +9 + 3\cdot a$

$A = a^{2}+6\cdot a +9$

Método (ii)

$A = (a+3)\cdot (a+3)$

$A = a^{2}+6\cdot a + 9$

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2 years ago

What is the binomial expansion of (2x – 3)^5?

Tanya [424]

Answer:

Step-by-step explanation:

(2x + 3)^5 = C(5,0)2x^5*3^0 +

C(5,1)2x^4*3^1 + C(5,2)2x^3*3^2 + C(5,3)2x^2*3^3 + C(5,4)2x^1*3^4 + C(5,5)2x^0*3^5

Recall that

C(n,r) = n! / (n-r)! r!

C(5,0) = 1

C(5,1) = 5

C(5,2) = 10

C(5,3) = 10

C(5,4) = 5

C(5,5) = 1

= 1(2x^5)1 + 5(2x^4)3 + 10(2x^3)3^2 + 10(2x^2)3^3 + 5(2x^1)3^4 + 1(2x^0)3^5

= 2x^5 + 15(2x^4) + 90(2x^3) + 270(2x^2) + 405(2x) +243

= 32x^5 + 15(16x^4) + 90(8x^3) + 270(4x^2) + 810x + 243

= 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243

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3 years ago

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Find the measures of two angles, one positive and one negative, that are coterminal with <img src="https://tex.z-dn.net/?f=%5Cfr

aleksandrvk [35]

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

positive angle - reference angle = 360°

reference angle - negative angle = 360°

where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

positive angle - pi/5 = 2 pi

positive angle = 2 pi + pi/5

positive angle = 11/5 pi

pi/5 - negative angle = 2 pi

negative angle = pi/5 - 2 pi

negative angle = -9/5 pi

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2 years ago

Find the following angles​

Find the following angles