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Ilia_Sergeevich [38]
2 years ago
13

QUES

Mathematics
1 answer:
snow_tiger [21]2 years ago
3 0

Answer:

Now, derive it from the calculations

Step-by-step explanation:

Net income = 100% = N120,000

therefore

1. Food

40%/100% = 2/5 of N120,000

= N48,000

2.Housing

30%/100% = 3/10 of N120,000

= N36,000

3. Savings

20%/100% = 2/10 (or 1/5) of N120,000

= N24,000

4. Miscellaneous

10%/100% = 1/10 of N120,000

= N 12,000

Quick mathmy friend

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1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
2 years ago
Could 1.5, 2.5, 3.5 and 6, 10, 12 be the corresponding sides of two similar triangles
boyakko [2]

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

\frac{6}{1.5} = 4

\frac{10}{2.5} = 4

\frac{12}{3.5} ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

4 0
2 years ago
Suppose​ a, b, and c are all negative numbers. How do you find the distance between the points​ (a,b) and​ (a,c)?
Alex787 [66]

Answer:

E

Step-by-step explanation:

Let's say if b = -2 and c = -3

-2-(-3) = 1 that would be the distance between them.  If it was D then you would need absolute value.

Hope this helps!  Have a nice day!

4 0
2 years ago
What is the name of the index comprised of stock prices of 500 U.S. industrial corporations?
k0ka [10]
D) s&p 500 Apex answer
6 0
3 years ago
Read 2 more answers
I see the amount was $90.00 then reduced to $<br>75.00 , what is the percent ?
VashaNatasha [74]

Answer:

16 2/3 %

Step-by-step explanation:

Since the price went down, we are find the percent decrease.

Percent decrease = (original price - new price)/ original price

                               = (90 - 75)/90

                                =15/90

                                  .1666666666666

Changing to percent form

                                      16.6666666666666666666666%

                                       16 2/3 %

                 

5 0
2 years ago
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