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AlladinOne [14]
3 years ago
11

"If a number divided by 4 leaves remainder 2 or 3", then which one is the correct statement 'n why?

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer:

As the number is a prime number. Therefore, option 'c' is true.

Step-by-step explanation:

Let us take the number 7 and divide it by 4

\frac{7}{4}

We know that

  • Quotient\frac{Remainder}{Divisor}

as

\frac{7}{4}=1\frac{3}{4}

so the remainder is 3.      ∵ Quotient\frac{Remainder}{Divisor}

As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.

Thus, the number is a prime number. Therefore, option 'c' is true.

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Can somebody help me with this problem!? i need help ahh
slamgirl [31]

for these kinds of problems the outside angle always equals the opposite 2. meaning angle x=64+70 which is 134 degrees. you can double check this because all triangles equal 180 degrees. meaning that the last angle in the triangle is 46. 46+70+64=180.

so your answer is 134.

hope this helps :)

6 0
3 years ago
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A carpenter goes through 3.4 boxes of nails
jeka57 [31]

4.5 boxes of nails are required for finishing 2 tables

Step-by-step explanation:

Given:

3.4 boxes of nails  are required for finishing 1.5 tables

Required:

How much boxes of nails would he use  for finishing 2 tables

Solution:

We can solve using Unitary Method:

Nails needed to finish 1.5 tables = 3.4 boxes

Nails needed to finish 1 table = \frac{3.4}{1.5}\,\,boxes

Nails needed to finish 2 tables = \frac{3.4}{1.5}*2 =4.5\,\,boxes

So, 4.5 boxes of nails are required for finishing 2 tables.

Keywords: Word Problems

Learn more about Word Problems at:

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4 0
3 years ago
HELP!
pashok25 [27]
Multiplying both sides of    <span>−1/3x≤−6    by -3 results in "x is equal to or greater than 18."
 
Note that multiplying such an inequality requires reversing the direction of the inequality symbol.

I subst. 18 for x in   </span><span>−1/3x≤−6    as a check, and found that  the resulting inequality is true.</span>
7 0
4 years ago
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What is 12765x6748+6789
slava [35]
Every calculation with multiple operations must abide to BODMAS (Brackets, Other, Divide, Multiple, Addition, Subtraction)

Thus we would multiple first, giving us 86138220. Then we would add giving us: 86145009
3 0
3 years ago
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Find the value of x in each case: Given: Iso. ΔABC, HM ∥DG Find: x, m∠CAB, m∠CBA
AleksAgata [21]

1. Start with ΔCIJ.

  • ∠HIC and ∠CIJ are supplementary, then m∠CIJ=180°-7x;
  • the sum of the measures of all interior angles in ΔCIJ is 180°, then m∠CJI=180°-m∠JCI-m∠CIJ=180°-25°-(180°-7x)=7x-25°;
  • ∠CJI and ∠KJA are congruent as vertical angles, then m∠KJA =m∠CJI=7x-25°.

2. Lines HM and DG are parallel, then ∠KJA and ∠JAB are consecutive interior angles, then m∠KJA+m∠JAB=180°. So

m∠JAB=180°-m∠KJA=180°-(7x-25°)=205°-7x.

3. Consider ΔCKL.

  • ∠LFG and ∠CLM are corresponding angles, then m∠LFG=m∠CLM=8x;
  • ∠CLM and ∠CLK are supplementary, then m∠CLM+m∠CLK=180°, m∠CLK=180°-8x;
  • the sum of the measures of all interior angles in ΔCLK is 180°, then m∠CKL=180°-m∠CLK-m∠LCK=180°-(180°-8x)-42°=8x-42°;
  • ∠CKL and ∠JKB are congruent as vertical angles, then m∠JKB =m∠CKL=8x-42°.

4. Lines HM and DG are parallel, then ∠JKB and ∠KBA are consecutive interior angles, then m∠JKB+m∠KBA=180°. So

m∠KBA=180°-m∠JKB=180°-(8x-42°)=222°-8x.

5. ΔABC is isosceles, then angles adjacent to the base are congruent:

m∠KBA=m∠JAB → 222°-8x=205°-7x,

7x-8x=205°-222°,

-x=-17°,

x=17°.

Then m∠CAB=m∠CBA=205°-7x=86°.

Answer: 86°.

3 0
3 years ago
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