1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
3 years ago
13

Which reason justifies the following statement?

Mathematics
2 answers:
amid [387]3 years ago
3 0

Answer:

(A) Complements of the same  angle are congruent.

Step-by-step explanation:

Since, ∠CEF is complementary to ∠DCF, therefore

∠CEF+∠DCF=90°                                 (1)

Also, ∠CEG=∠CEF+∠FEG

⇒90°=∠CEF+∠FEG                              (2)

Therefore, from(1) and (2), we get

∠CEF+∠DCF=90°    

∠CEF+∠FEG=90°

Subtracting both the equations, we get

  ∠DCF-∠FEG=0

∠DCF=∠FEG.

Hence, ∠DCF≅∠FEG by the rule: Complements of the same  angle are congruent.

mafiozo [28]3 years ago
3 0

Answer; Complements of the same angle are congruent.

You might be interested in
The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
Write the equation in standard form.<br><br> 3x−9=7y
Karo-lina-s [1.5K]
3x-7y = 9
Standard form is Ax+By = C
5 0
3 years ago
Solve: 6x-9 = 3x<br> A x = 3<br> B x=1<br> C x = -1<br> D X=-3
Bumek [7]

Answer:

Answer is A, A=3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A Chueca has 20 plates if theres 30 people how much does she need more
ludmilkaskok [199]
She needs 10 more plates to get 30
8 0
3 years ago
Subtract 5 from 1/3 of 23
WARRIOR [948]
The answer is 2.8. or around there

5 0
3 years ago
Read 2 more answers
Other questions:
  • A bus travels 36 miles in 45 minutes. How many miles will the bus travel in 60 minutes at this rate. Show a ratio.
    15·1 answer
  • Ummmmmm Helppppppp Needeeeeeed
    8·2 answers
  • The school district does not have to pay the 8% sales tax on the $2,992.50 purchase. Estimate the amount of sales tax the distri
    9·1 answer
  • Factor completely. x^2−3x−40
    8·1 answer
  • Change 7/10 to a decimal
    11·1 answer
  • 15-2(7 - x) = 7<br>(Multi- step equations)<br>show steps please:)&lt;4​
    5·2 answers
  • Find the slope of the line.. pls help me ill give brainliest. Its timed.
    14·1 answer
  • Prove segment GF = segment HF
    11·1 answer
  • If one side of the equation x + 5 = 8 has 9 added to it and the other side has (4 + 5) added to it, will the equation stay equal
    7·2 answers
  • C What is the volume of the sphere? Choose the best answer below.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!