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3 years ago

Determine which justification best fits step 3 for the following proof

Mathematics

2 answers:

devlian [24]3 years ago

7 0

Answer: it's actually angle addition postulate

explanation: angle addition postulate is the one that allows you to say that the individual parts of a bigger angle can add up to equal that bigger angle

fgiga [73]3 years ago

6 0

Answer:

Step-by-step explanation:

Since ABC is collinear and angle 3 is a right angle, adding 1&2 together should equal 3, which comes out to being equal to line ABC

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What is the cross-sectional area of a cement pipe 2 in. thick with an inner diameter of 5 ft? Use pie 3.14.

Paul [167]

Answer:

1.60 $ft^{2}$

Step-by-step explanation:

Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.

i.e Area = $\pi$ $r^{2}$

So that,

for the inner part of the pipe,

r = $\frac{diameter}{2}$

= $\frac{5}{2}$

= 2.5 feet

Area of the inner part of the pipe = $\pi$ $r^{2}$

= 3.14 x $(2.5)^{2}$

= 19.625

Are of the inner part of the pipe is 19.63 $ft^{2}$ .

Total diameter of the pipe = 5 + 0.2

= 5.2 feet

r = $\frac{5.2}{2}$

= 2.6 feet

Area of the pipe = $\pi$ $r^{2}$

= 3.14 x $(2.6)^{2}$

= 21.2264

Area of the pipe is 21.23 $ft^{2}$ .

Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe

= 21.2264 - 19.625

= 1.6014

The cross sectional area of the cement pipe is 1.60 $ft^{2}$ .

6 0

2 years ago

A donation center had filled up 44 small bins with canned food with each bin containing 24 cans. They plan to send the cans out

Valentin [98]

Each food bank would receive 264 cans.

44 Bins with 24 cans. 44•24= 1,056

n= (44•24) / 4
n= 1,056 / 4
n= 264 cans per food bank

8 0

3 years ago

What is the supplement of an angle having a measure of 120 degrees?

kipiarov [429]

The supplementary angle of 120° is 60°.
So your answer is 60 degrees.

5 0

3 years ago

The function f(x) is shown on the graph.

In-s [12.5K]

I think C is the answer

5 0

2 years ago

Since segment XZ is perpendicular to segment WY, angles WZX and XZY are both right angles and congruent. The proportion ________

spayn [35]

Triangle WXZ and triangle XZY are similar triangles by the side angle side similarity postulate, therefore 16/12 = 12/9.

<h3>What are similar triangles?</h3>

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, their corresponding angles are congruent.

Triangle WXZ and triangle XZY are similar triangles by the side angle side similarity postulate, therefore 16/12 = 12/9.

Find out more on similar triangles at: brainly.com/question/2644832

#SPJ1

4 0

1 year ago