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3 years ago

Given the following shape with parellel lines, explain why these two triangles are similar.

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Answer:

All 3 angles are the same, it is simply a dilation. the size is the only difference.

Step-by-step explanation:

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Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?

Arlecino [84]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)

7-5/9-4

2/5

6 0

3 years ago

For the following exercises, solve each inequality and write the solution in interval notation.

Pie

Answer:

The solution of the given set in interval form is $(-\infty,-4] \cup[12, \infty)$ .

Step-by-step explanation:

It is given in the question an inequality as $|x-4| \geq 8$ .

It is required to determine the solution of the inequality.

To determine the solution of the inequality, solve the inequality $x-4 \geq 8$ and, $x-4 \leq-8$

Step 1 of 2

Solve the inequality $x-4 \geq 8$

$\begin{aligned}&x-4 \geq 8 \\&x-4+4 \geq 8+4 \\&x \geq 12\end{aligned}$

Solve the inequality $x-4 \leq-8$ .

$\begin{aligned}&x-4 \leq-8 \\&x-4+4 \leq-8+4 \\&x \leq-4\end{aligned}$

Step 2 of 2

The common solution from the above two solutions is x less than -4 and $x \geq 12$ .

The solution set in terms of interval is $(-\infty,-4] \cup[12, \infty)$ .

7 0

1 year ago

Tameka built 1/2 of a shed on Monday and 2/5 of the shed on Tuesday. Tameka finished building the shed of Wednesday. What fracti

Doss [256]

Step One

Find the sum of the fractions for Monday and Tuesday

1/2 + 2/5

The common denominator for these 2 days is 10

1/2: 1*5/(2*5) = 5/10

2/5:2*2/(2*5) = 4/10

Add these two equivalent fractions together.

5/10 + 4/10 = 9/10

The first 2 days resulted in 9/10 of the shed being completed.

Step Two

Find out how much (in terms of fractions) is left of the shed.

Let the whole shed = 1

Let what has been done = 9/10

What remains is 1 - 9/10 = 1/10

Answer: 1/10 of the shed needs to be done

4 0

3 years ago

23) A backyard has a perimeter of 144m.

german

A) 144/4 = 36 metres per side
b) 18*3 = 54
54+54+18+18= 144 metres

dimensions would be 54 by 18

3 0

3 years ago

What is the positive solution to the equation 0=13x2−3?

goblinko [34]

Answer:

x = $\sqrt{39}$ /13 ≈ 0.48

Step-by-step explanation:

13x² = 3

x² = 3/13

rationalize the denominator

x = $\sqrt{39}$ /13

6 0

2 years ago