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3 years ago

Which statements about opposites are true?

Mathematics

1 answer:

Tems11 [23]3 years ago

8 0

Answer:the oppsosite of zero is zero

The opposite of a negative is a positive

Step-by-step explanation:

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3(x 2) 11 is greater than 20

Allushta [10]

3(x+2)+11>20
minus 11 both sides
3(x+2)>9
divide both sides by 3
x+2>3
minus 2 both sides
x>1

4 0

3 years ago

Five grams of sugar are added to a 40-gram serving of a breakfast cereal that is 10% sugar. What is the percent concentration of

tamaranim1 [39]

10g+0.10(40g)=14 grams of sugar.

7 0

3 years ago

Mike jogged a total distance of 5 1/3 miles during the months of October and November. If Mike only jogger 1/6 mile every day, W

Bumek [7]

Answer:

Step-by-step explanation:

If he jogged $x$ miles every day, and he jogged a total distance of $y$ miles, then he runs for $y/x$ days. This is an extension of the $d=rt$ or distance equals rate times time.

We plug in for y and x to get that he runs for $5~1/3~~/~~1/6$ .

So, the answer is $\boxed{D}$ and we're done!

7 0

2 years ago

Read 2 more answers

3x-4=5 Solve the equation above

SVEN [57.7K]

Answer:

The answer is x = 3

Explanation step by step

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3 years ago

Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

skelet666 [1.2K]

Angles formed by the segment $\overline{XZ}$ in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; 16 over 12 equals 12 over 9

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment $\overline{XZ}$ is perpendicular to segment $\overline{WY}$

∠WZX and ∠XZY are right angles by definition of $\overline{XZ}$ perpendicular to $\overline{WY}$

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

$\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}$

$\displaystyle \mathbf{ \frac{XZ}{ZY}} = \frac{12}{9} = \frac{4}{3}$

Therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ , which gives, $\displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}$

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ which is; 16 over 12 equals 12 over 9

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0

3 years ago