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3 years ago

Complete the proof by providing the missing statement and reasons

Mathematics

1 answer:

Fittoniya [83]3 years ago

3 0

Answer:

2. angle bisector splits into even halves

Step-by-step explanation:

that's all i can assist with sorry, proofs still confuse me!

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

3 0

3 years ago

5 x + 5 = -5 <br>what is x?

romanna [79]

Answer:

x=-2

Step-by-step explanation:

6 0

2 years ago

Shape that s not trapezoid

neonofarm [45]

Answer:hexagon square

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Perform the requested operation or operations.

alukav5142 [94]

$f(x) = \frac{x-3}{5}$
$g(x) = 5x+3$
$g(f(x)) = 5(\frac{x-3}{5})+3 = x-3+3 = x$

EDIT:
$f(g(x))=\frac{(5x+3)-3}{5}=\frac{5x+0}{5}=\frac{5x}{5}=x$

4 0

2 years ago

DO NOT SKIP LETS SO WHOS SMART ENOUGH TO ANSWER THESE 2 PROBLEMS I CHALLENGE YOU!!

rodikova [14]

Q 16. The energy is 308.7 J.

Q 17. The energy is 896000 J.

Step-by-step explanation:

Q 16. Given,

Mass (m) of the carriage and baby = 1.5 kg

Height (h) = 21 m

To find the energy.

We will find the potential energy as it rests at the top.

Formula

Potential energy = mgh where g be the gravitational force of the earth = 9.8m/s²

So,

Energy = 1.5×9.8×21 J

= 308.7 J.

Hence,

The energy is 308.7 J.

Q 17. Given,

Mass (m) = 1120 kg

Speed (v) = 40 m/s

To find out the energy.

We will find out the kinetic energy as the car is in motion.

Formula

Kinetic energy = $\frac{1}{2}$ mv²

So,

Energy = $\frac{1}{2}$ ×1120×40² J

= 896000 J

Hence,

The energy is 896000 J.

7 0

3 years ago