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2 years ago

Sum of -4/5 and -5/12. please answer.

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

8 0

Answer:

$- 1 \frac{13}{60}$

Step-by-step explanation:

$- \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60}$

Hope this helps you.

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What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°

strojnjashka [21]

*see attachement for diagram

Answer:

∠P = 140°; ∠S = 40°

Step-by-step explanation:

The figure given is a parallelogram.

Consecutive angles (adjacent angles) of a parallelogram are supplementary.

Therefore:

(x + 15)° + (6x - 10)° = 180°

Solve for x

x + 15 + 6x - 10 = 180

Add like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25

✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)

m<P = 6x - 10

Plug in the value of x

m<P = 6(25) - 10 = 140°

✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)

m<S = x + 15 = 25 + 15 = 40°

5 0

2 years ago

A line passes through (2, 8) and (4, 12). Which equation best represents the line? y = 1 over 2 x 6 y = 2x 7 y = 2x 4 y = 1 over

nalin [4]

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

Given information-

The point through which the line passes are (2, 8) and (4, 12).

To find the equation of the line, the standard form of the equation of the line must be obtained.

<h3>Equation of the line</h3>

Equation of the line is a way to represent the a line in a equation or algebraic from which is the set of the line thorough witch the line passes.

The standard form of the equation of the line can be given as,

$(y-y_1)=\dfrac{y_2-y_1}{x_2-x_1} (x-x_1)$

Where $(x_1,y_1)$ and $(x_2,y_2)$ are the points through which the line passes.

Thus the equation of the line which passes through the points (2, 8) and (4, 12) can be given as,

$(y-8) &=\dfrac{12-8}{4-2} (x-2)\\(y-8) &=\dfrac{4}{2} (x-2)\\2y-16 &=4x-8\\2y &=4x-8+16\\$

Divide by 2 both the side,

$y=2x-4$

Thus the equation of the line which passes through the points (2, 8) and (4, 12) is,

$y=2x-4$

Hence the option 3 is the correct option.

Learn more about the equation of the line here;

brainly.com/question/2564656

7 0

2 years ago

The following is an example of which property?

balu736 [363]

Answer:

I think it is commutative

Step-by-step explanation:

because commute means move so I think that's what it is

3 0

3 years ago

Read 2 more answers

The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula

Semmy [17]

Answer:

Therefore,

$r=\sqrt[3]{\frac{3V}{4\pi }}$

is the required r

Step-by-step explanation:

Given:

Volume of inside of the sphere is given as

$V=\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere

To Find:

r =?

Solution:

We have

$V=\frac{4}{3} \pi r^{3}$ ......Given

$3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}$

Therefore,

$r=\sqrt[3]{\frac{3V}{4\pi }}$

is the required r

5 0

3 years ago

Last week, Leon bought 8 pizzas and 13 cakes

romanna [79]

P = pizza and c =cakes

Last week: 8p + 13c = 134
Today: 28p + 4c = 220

Let’s take the formula for today and subtract 28p from each side to isolate the 4c.

4c = 220 - 28p

Now divide each side by 4

c = (220 - 28p)/4
Simplify to c = 55 - 7p

Now go to the formula for last week, substitute the c for 55-7p

8p + 13(55 - 7p) = 134
8p + 715 - 91p = 134

Simplify to 715 - 83p = 134

Let’s add 83p to each side.

715 = 134 + 83p

Subtract 134 from each side

581 = 83p

Divide each side by 83

p = $7

5 0

2 years ago

Sum of -4/5 and -5/12. please answer.​

Sum of -4/5 and -5/12. please answer.