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3 years ago

Solve the equation for the given variable k/3-11=-20

1 answer:

3 0

$\frac{k}{3-11}$ = - 20

You can subtract the numbers in the parenthesis:
(3-11) = (-8)

Multiply the denominator to both sides so it cancels out and isolates the variable $\frac{k}{-8}$ × -8 = - 20 × -8
-8 and -8 cancels out

k = 160

Quick check:
$\frac{160}{(3-11)}$ = -20
$\frac{160}{-8}$ = - 20
- 20 = - 20
Yes its right

the answer is: k =160

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A triangle can have sides whose lengths are 9cm, 16 cm, and

vodka [1.7K]

Answer: (B) 8 cm

Step-by-step explanation:

A triangle has 3 sides.

In order for it to be a triangle, the sum of sides a and b must be greater than the length of side c.

Testing (A) 7cm:

7 + 9 > 16

16 > 16

False

Testing (B) 8cm:

8+9 > 16

17 > 16

True

Testing (C) 25cm:

9 + 16 > 25

25 > 25

False

Testing (D) 26cm:

9 + 16 > 26

25 > 26

False

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2 years ago

Which expressions simplify to 0? Check all that apply. 8g – 8g, (–2g) – 2g, 5g + (–5g), One-half g + one-half, g Negative two-th

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We have been given 4 expressions. We are asked to choose the expressions, which simplifies to 0.

Let us check our given choices one by one.

1. $8g-8g$

$8(g-g)$

$8(0)=0$

When we will subtract 8g from 8g, we will get 0. Therefore, expression $8g-8g$ simplifies to 0.

2. $(-2g)-2g$

Let us remove parenthesis.

$-2g-2g$

Upon combining like terms, we will get:

$-4g$

Since $(-2g)-2g$ simplifies to $-4g$ , therefore, expression $-2g-2g$ is not a correct choice.

3. $5g+(-5g)$

Let us remove parenthesis.

$5g-5g$

Upon combining terms, we will get:

$5g-5g=0$

Since $5g+(-5g)$ simplifies to 0, therefore, expression $5g+(-5g)$ is a correct choice.

4. $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$

Let us combine the terms as:

$\frac{1+1}{2}g-\frac{2}{3}g+\frac{2}{3}g$

$\frac{2}{2}g-\frac{2}{3}g+\frac{2}{3}g$

$g-g(-\frac{2}{3}+\frac{2}{3})$

$g-g(0)$

$g-(0)=g$

Since $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$ simplifies to $g$ , therefore, expression $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$ is not a correct choice.

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4 years ago

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5xy - xt + 2xy + 3xt plz help

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Answer:

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Step-by-step explanation:

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4 years ago

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Answer:

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3 years ago

Look at the figure, . Find the m∠H .

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Answer : The value of ∠H is 74°

Step-by-step explanation :

As we know that the opposite sides and opposite angles are equal in parallelogram.

That means,

Side MJ = Side FH

Side FM = Side HJ

∠MFH = ∠MJH

∠FHJ = ∠FMJ

As we are given that:

∠MJH = ∠MFH = 106°

Let ∠FHJ = ∠FMJ = x

As we know that the sum of interior angles of quadrilateral is equal to 360°.

∠MFH + ∠MJH + ∠FHJ + ∠FMJ = 360°

∠MFH + ∠MFH + ∠FHJ + ∠FHJ = 360°

2∠MFH + 2∠FHJ = 360°

2(∠MFH + ∠FHJ) = 360°

(∠MFH + ∠FHJ) = 180°

(106° + ∠FHJ) = 180°

∠FHJ = 180° - 106°

∠FHJ = 74°

Therefore, the value of ∠H is 74°

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4 years ago

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