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3 years ago

Given: ΔABC

Mathematics

2 answers:

erastovalidia [21]3 years ago

5 0

Answer:

Alternate interior angles.

Step-by-step explanation:

We have been asked to find the missing reason of flowchart, which proves that the measure of interior angles of ΔABC is 180°.

We have been given that by Construction, line segment DE is parallel to line segment AC and we can see line AB as a transversal.

Since we know that angles formed by inside of two parallel lines and opposite side a transversal are known as alternate interior angles.

We can see that angle DBA and BAC are formed inside parallel line segments DE and AC and opposite side of line segment AB. Therefore, angle DBA and BAC are congruent by alternate interior angles.

vovangra [49]3 years ago

4 0

Answer:

angle addition postulute

Step-by-step explanation:

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Find the perimeter of the rectangle 3x length 5 width

crimeas [40]

Answer:

2(2x+5)

Step-by-step explanation:

Length of the rectangle=l= 3x

Breadth of the rectangle=b= 5

Perimeter= 2(l+b)

= 2(3x+5)

3 0

3 years ago

I have some questions that need to be answered fast.<br><br> 1. 42/j = 35/55

Novay_Z [31]

$\frac{42}{j} = \frac{35}{55}$

to solve for j first you need to cross multiply;

j × 35 = 42 × 55

35j = 2,310

j = 2,310 ÷ 35 (did the inverse operation)

j = 66

Hope that helps :D

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3 years ago

A toy baseball bat comes with 3 plastic balls. The balls are in a box that is a rectangular solid. The box is just big enough to

vodomira [7]

Answer:

31.4 in³

Step-by-step explanation:

The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.

The volume of the box is:

V = (6r)(2r)(2r)

V = 24r³

The volume of the 3 balls is:

V = 3 (4/3 π r³)

V = 4πr³

So the volume of the air is:

V = 24r³ − 4πr³

V = (24 − 4π) r³

Since r = 1.4 inches:

V = (24 − 4π) (1.4 in)³

V ≈ 31.4 in³