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arsen [322]
3 years ago
11

50 points Prove and find the measurement?

Mathematics
2 answers:
frez [133]3 years ago
8 0

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

nydimaria [60]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

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KatRina [158]

Answer:

(7a^2 + 8b^2 + 5ab) (7a^2 + 8b^2 - 5ab)

Step-by-step explanation:

Dado que ambos términos son cuadrados perfectos, puede factorizar utilizando la fórmula de la diferencia de cuadrados, a^2 - b^ 2 = (a + b) (a - b), donde a = 7a^2 + 8b^2 y b = 5ab.

English: Since both terms are perfect squares you can factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b), where a = 7a^2 + 8b^2 and b = 5ab.

6 0
3 years ago
Please help w/ this question <br><br> image attached
vovikov84 [41]

It is A I vsnududuudududu


3 0
3 years ago
X + 7<br> 2x - 3<br> Perimeter:<br> Area:
777dan777 [17]

Answer:

P=6x+8

A=2x^2+11x-21

Step-by-step explanation:

Perimeter:

P=2(x+7)+2(2x-3)

P=6x+8

Area:

A=(x+7)(2x-3)

A=2x^2+11x-21

7 0
4 years ago
I need help here’s a picture can somone explain what I need to do??
BigorU [14]

The total area of the composite figure is 176 ft

<h3>How to find the area of a composite figure?</h3>

The area of a composite figure can be found as follows;

Therefore,

Total area = area of rectangle + area of triangle

area of rectangle = lw

where

  • l = length
  • w = width

Therefore,

area of a rectangle = 16 × 8

area of a rectangle = 128 ft²

area of triangle = 1 / 2 bh

where

  • b = base
  • h = height

Therefore,

area of triangle = 1 / 2 × 12 × 8

area of triangle = 48 ft²

Total area of the composite figure = 48 + 128 = 176 ft

learn more on composite figure here: brainly.com/question/12315384

#SPJ1

3 0
2 years ago
A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e
mojhsa [17]

Answer:

V = 4/3 x pi x r^3

972 x pi= 4/3 x pi x r^3

729 = r^3

The cubic root of 729 is 9 because 9 x 9 x 9 = 729.

The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.

Step-by-step explanation:

7 0
3 years ago
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