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Goshia [24]
2 years ago
7

Some please help me , also your beautiful and handsome and smart and you matter .

Mathematics
1 answer:
enyata [817]2 years ago
8 0

Answer:

∠ 1 = 36° , ∠ 2 = 144°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is

x + 12 + 6x = 180

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Then

∠ 1 = x + 12 = 24 + 12 = 36°

∠ 2 = 6x = 6 × 24 = 144°

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Describe of 45 angle
marta [7]

Answer: A 45-degree angle is exactly half of a 90-degree angle formed between two rays. It is an acute angle and two angles measuring 45 degrees from a right angle or a 90-degree angle. We know that an angle is formed when two rays meet at a vertex.

8 0
2 years ago
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Suppose $800 is invested into an account that pays 3.5% interest, compounded annually. What is the balance in the account after
Mkey [24]
$950.15 A=800(1+.035)^5
6 0
3 years ago
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mario is taking a $2,900, 2-year loan with an APR of 5.44%. what is the montly payment for this loan? round to the nearest cent
sasho [114]

Answer:

The monthly payment for this loan is $127.80

Step-by-step explanation:

The formula of the monthly payment is

M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}

  • P is the initial amount of the loan
  • r is the rate in decimal
  • n is the period of the time
  • t is the time of the loan

∵ Mario is taking a $2,900, 2-year loan with an APR of 5.44%

∴ P = 2,900

∴ t = 2

∵ ART means annual percent rate

∴ r = 5.44% = 5.44 ÷ 100 = 0.0544

∴ n = 12

→ Substitute all these values in the formula above

∵ M.P = \frac{2,900(\frac{0.0544}{12})}{1-(1+\frac{0.0544}{12})^{-(12)(2)}}

→ use your calculator to find the answer

∴ M.P = 127.7992528

→ Round it to the nearest cent ⇒ 2d.p

∴ M.P = 127.80

∴ The monthly payment for this loan is $127.80

4 0
3 years ago
Factor completely.<br> 150m^2nz+20mn^2c-120m^2nc-25mn^2z
Anika [276]

Answer:

The factor form is:

5mn\left(6m-n\right)\left(5z-4c\right)

Step-by-step explanation:

Here we have to find the factor of the expression:

150m^2nz+20mn^2c-120m^2nc-25mn^2z

So we need to take out the common terms, as we do for finding the greatest common factors.

Now the expression that is given can be re-written as:

150m^2nz+20mn^2c-120m^2nc-25mn^2z\\=150mmnz+20mnnc-120mmnc-25mnnz\\=30\cdot \:5nmmz+4\cdot \:5nmnc-24\cdot \:5nmmc-5\cdot \:5nmnz

Next, we will find the common terms, as follows;

30\cdot \:5nmmz+4\cdot \:5nmnc-24\cdot \:5nmmc-5\cdot \:5nmnz\\=5nm\left(30mz+4nc-24mc-5nz\right)\\

Now  we will factorise the expression:

\left(30mz+4nc-24mc-5nz\right)\\

as follows;

\left(30mz+4nc-24mc-5nz\right)\\=6m\left(5z-4c\right)+n\left(4c-5z\right)\\=\left(-4c+5z\right)\left(6m-n\right)\\

So the final factor form is:

150m^2nz+20mn^2c-120m^2nc-25mn^2z=5mn\left(6m-n\right)\left(5z-4c\right)

8 0
3 years ago
If the measure of angle 4 is 11x and angle 3 is 4x , what is the measure of angle 3 in degrees?
fgiga [73]
<span>Answer:
   Let x = degree measure of the angle
    So, the complement of the angle has degree measure 90-x
    4/11 = x/(90-x)
    4(90-x) = 11x
    360 - 4x = 11x
    15x = 360
    x = 24°
    Supplement = 180 - x = 156° x/(180-x) = 24/156 = 2/13</span>
5 0
3 years ago
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