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1 year ago

Need help on finding the measure of the missing angles that are with the letters

Mathematics

1 answer:

kotykmax [81]1 year ago

7 0

The angles a , b and c are given.

Apply the supplementary property,

$\angle c+\angle d=180^{\circ}$ $56^{\circ}+\angle d=180^{\circ}$ $\angle d=124^{\circ}$

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Boris invested his savings in two investment funds. The $12,000 that he invested in fund a returned a 6% profit the amount that

Sedbober [7]

Answer:

$4000

Step-by-step explanation:

Let B represent amount invested in account 'b'.

We have been given that an amount of $12,000 that Boris invested in fund a returned a 6% profit.

So the profit earned from fund 'a' would be $12,000\times\frac{6}{100}=12,000(0.06)$ .

We are also told that the amount that he invested in fund b returned at 2% profit. So the profit earned from fund 'b' would be $B\times\frac{2}{100}=B(0.02)=0.02B$ .

Further, both funds together returned a 5%. We can represent this information as:

$(12,000+B)\times\frac{5}{100}=0.05(12,000+B)$

Now, we will equate profit earned from account 'a' and 'b' with profit earned from both accounts as:

$12,000(0.06)+0.02B=0.05(12,000+B)$

$720+0.02B=600+0.05B$

$600+0.05B=720+0.02B$

$600-600+0.05B=720-600+0.02B$

$0.05B=120+0.02B$

$0.05B-0.02B=120+0.02B-0.02B$

$0.03B=120$

$\frac{0.03B}{0.03}=\frac{120}{0.03}$

$B=4000$

Therefore, Jason invested $4000 in fund 'b'.

4 0

3 years ago

3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by

sveticcg [70]

Answer:

Nancy's age is 11years and Khaled's age is 10years

Step-by-step explanation:

Let Nancy's present age be x

Let Khaled's present age b y

3 years ago

Nancy = x - 3

Khaled = y - 3

If 3 years ago, Nancy’s age was more than Khaled’s age by 2, then;

x-3 = y-3 + 2

x - 3 = y - 1

x- y = -1+3

x - y = 2 ...1

4 years from now,

Nancy = x+4

Khaled = y+4

If by 4years from now, twice Nancy’s age will be more than Khaled’s age by 16, then;

2(x+4) = y+4 + 16

2x+8 = y+20

2x-y = 20-8

2x-y = 12 ....2

Subtract 1 from 2;

x - 2x = 1 - 12

-x = -11

x = 11

Since x - y = 1

11 - y = 1

y = 11-1

y = 10

Hence Nancy's age is 11years and Khaled's age is 10years

7 0

3 years ago

1.The mass of an object, usually measured in kilograms and grams is?

Marat540 [252]

Answer:

1.kg(not sure)

2. mass

7 0

3 years ago

Read 2 more answers

You are cutting as many 20 1/2-inch pieces from the board to make

zlopas [31]

Answer: The number of steps you can make is 5 pieces and $\dfrac{35}{41}\ inch$ is left over.

Step-by-step explanation:

Since we have given that

Length of pieces from the board to make ladder steps for a tree fort = $20\dfrac{1}{2}\ inch=\dfrac{41}{2}$

Length of board = 120 inch

Number of pieces from the board to make ladder steps for a tree fort is given by

$120\div \dfrac{41}{2}\\\\=120\times \dfrac{2}{41}\\\\=\dfrac{240}{41}\\\\=5\dfrac{35}{41}$

Hence, the number of steps you can make is 5 pieces and $\dfrac{35}{41}\ inch$ is left over.

4 0

3 years ago

Alisa and Chelsea paid a total of $31 to rent a canoe. Write

Leviafan [203]

Answer:

6+ 10h =31

Step-by-step explanation:

That's your equation. You have to then subtract six from the six and 31. Which would get you 10h=25. Divide 10 from both sides and get h=2.5. They rented a canoe for 2 and a half hours.

3 0

3 years ago