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pshichka [43]
3 years ago
15

Dan bought 4 kilograms of dog food.

Mathematics
1 answer:
Nitella [24]3 years ago
3 0
Since a kilogram is 1000 grams, 4*1000=4000 kilograms, which is your answer
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You deposit $4000 in an account earning 4% interest compounded monthly. How much will you
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$6400 is the amount you will have in 15 years
8 0
2 years ago
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
Read 2 more answers
Solve for X.<br> 4(2x + 5) + 2x + 3 = -11
S_A_V [24]
We can begin by rewriting the problem:

4(2x + 5) + 2x + 3 = -11

Let’s solve in steps.

1. Distribute

8x + 20 + 2x + 3 = -11

2. Combine like terms

10x + 23 = -11

3. Subtract 23 from both sides

10x + (23 - 23) = -11 - 23

10x = -34

4. Divide both sides by 10

10 / 10 = 1 (or x)

-34 / 10 = -3.4

Therefore, x = -3.4.
3 0
1 year ago
Read 2 more answers
2 Points
lidiya [134]
B. 9A^2 - 16B^2

If you need me to explain. I will.
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Help please Algebra 2 B
Zina [86]
R = 1/4

an = 6(1/4)^(n-1)
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