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3 years ago

Pls, help with this two math questions it is urgent! 14pts!

Mathematics

2 answers:

77julia77 [94]3 years ago

7 0

Complementary angles add up to 90 degrees.

If you know one angle subtract that from 90 to find the other angle.

Supplementary angles add up to 180 degrees.

If you know one angle, subtract that from 180 to find the other angle.

Vesnalui [34]3 years ago

4 0

Answer:

Since complementary angles add up to 90 degrees, you subtract the angle that you know, from 90, and you'll get the missing angle.

Since supplementary angles add up to 180 degrees, you subtract the angle that you know, from 90, and you'll get the missing angle.

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Line AB passes through points A(-6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b,

grigory [225]

The value of $m= \frac{- 1}{6}$ and $b = 5$

<u>Solution:</u>

Given, Line passes through points $A(-6,6) = (x_1, y_1); \ B(12,3) = (x_2 , y_2)$

Slope of line passing through two points is $m = \frac{(y_2-y_1)}{(x_2-x_1)}$

$\rightarrow \frac{(3-6)}{(12- (-6))}$

$\rightarrow \frac{-3}{18} = \frac{-1}{6}$

Equation of a straight line passing through point-slope form is $y - y1 = m (x - x1) --- (1)$

Since we have two points we can use any point. Let us take $A (-6,6)$ and m $\frac{-1}{6}$ and substitute in (1)

$\Rightarrow y - 6 = \frac{-1}{6 (x - (-6))}$

$\Rightarrow y - 6 = \frac{-1}{6x -1}$

$\Rightarrow y = \frac{-1}{6x + 5}$ [By equating as $y = mx + b$ ]

$m = \frac{-1}{6} ; b = 5$

Substituting the other coordinates also gives the same result.

5 0

3 years ago

Use the variable h, to write an expression representing the difference of three times a number and two

Yanka [14]

Answer:

3h - 2

Step-by-step explanation:

An expression is a mathematical phrase using variables, such as 'h', and operations, such as addition, subtraction or multiplication. An expression does not include the equal sign (=).

The problem asks you to use the variable 'h' which we can substitute for 'a number' in the verbal description. Also, 'difference' is a word used for the operation of subtraction. 'Times' is a word that we use for the operation of multiplication. So, 'three times a number' = 3h. 'The difference of three times a number and two' = 3h - 2.

3 0

3 years ago

How do I find the value of x?

garik1379 [7]

Answer: x = 15

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.

sum of angles = (n - 2) × 180

sum of angles = (7 - 2) × 180

sum of angles = 5 × 180

sum of angles = 900°

Now to find the value of x, we have to set each of the interior angles, added up, equal to 900°:

7x + 1 + 10x + 6x + 7 + 10x - 9 + 9x + 4 + 8x + 10 + 9x + 2 = 900

Combine like terms:

(7x + 10x + 6x + 10x + 9x + 8x + 9x) + (1 + 7 - 9 + 4 + 10 + 2) = 900

59x + 15 = 900

59x + 15 - 15 = 900 - 15 subtract 15 from both sides

59x = 885

59x/59 = 885/59 divide by 59 on both sides

x = 15

8 0

1 year ago

Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ t

Dmitriy789 [7]

The discount factor computed shows that the value of each payment will be $1546.

<h3>How to calculate the payment?</h3>

The following can be deduced from the information:

Payment due in 5 months = $1684

Payment due in 8 months = $1323

Annual interest = 11.40%

Monthly interest rate = 11.40%/12 = 0.95%

Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52

Present value of payment due 8 months ago = $1226.62

Total present value = $1765.52 + $1226.62 = $2992.14

After rescheduling, the payments will be in 2 months and 5 months.

Discount factor for payment due in 2 months = 0.9813

Discount factor for payment due in 5 months = 0.9538

Combined discount factors= 0.9360

Therefore, the value of each payment will be:

= $2992.14/(1 + 0.9360)

= $1546

Learn more about discount factor on:

brainly.com/question/24286983

5 0

2 years ago

Kia wants to have 3 pounds of munchies for her party. She has 20 ounces of popcorn and wants the rest to be pretzel sticks. How

Alinara [238K]

Answer: 28

Step-by-step explanation: 3 pounds is equal to 48 ounces and you subtract the 20 ounces of popcorn to get 28 ounces

5 0

2 years ago