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2 years ago

Choose all statements that accurately describe properties of parallel and perpendicular lines.

1 answer:

5 0

Incomplete question. I inferred you want to know the properties of parallel and perpendicular lines. Which I provided below.

Explanation:

In geometry, parallel lines are two lines that are always drawn at the same distance apart and never touch each other. Parallel lines are usually denoted by the symbol ∥.

Here are some of their properties;

When a transversal intersects two parallel lines:

usually, the corresponding angles of the lines are equal.
vertically opposite angles are equal.
the alternate exterior angles are equal.

Perpendicular lines are two lines that meet at a right angle (90 degrees) to each other.

Properties: two lines that meet, implies all four angles are right angles.

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Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He not

NISA [10]

Answer:

3/8 bucket

Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

To find the amount of nuts that fills entire basket we can put this as:

1/4 bucket → 2/3 barrel
x bucket → 1 barrel

Use cross-multiplication to find the value of x:

x×2/3 = 1×1/4
x = 1/4 ÷ 2/3
x = 1/4×3/2
x = 3/8 bucket

PART B

Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.

6 0

2 years ago

ًُ]ًٍُِ]ًًًًٍُُِِ]]ِ

ASHA 777 [7]

Answer:

1. $\overline {TU}$

2. Given

3. $\overline {RT}$

4. Side-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The two column proof is presented as follows;

Statement ${}$ Reason

1. $\overline {RS}$ ≅ $\overline {TU}$ ${}$ Given

2. $\overline {ST}$ ≅ $\overline {UR}$ ${}$ Given

3. $\overline {RT}$ ≅ $\overline {RT}$ ${}$ Reflexive property

4. ΔRST ≅ ΔTUR ${}$ SSS rule of congruency ${}$

The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.

7 0

2 years ago

Choose the equation that has solutions (5,7) and (8,13).

Alekssandra [29.7K]

<h2>Answer:y=2x-3</h2>

Step-by-step explanation:

$(x_{1},y_{1})$ is called solution of a equation if $(x_{1},y_{1})$ satisfies the equation.

Consider the equation $y=2x-3$ ,

For point $(5,7)$ ,

$LHS=y=7$

$RHS=2x-3=2(5)-3=10-3=7$

So, $RHS=LHS$

The point $(5,7)$ satisfies the equation.

For point $(8,13)$ ,

$LHS=y=13$

$RHS=2x-3=2(8)-3=16-3=13$

So, $RHS=LHS$

The point $(8,13)$ satisfies the equation.

So,both the points satisfy the equation $y=2x-3$

5 0

3 years ago

Integrate sin^-1(x) dx please explain how to do it aswell ...?

Lynna [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2264253

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx\qquad\quad\checkmark}$

Trigonometric substitution:

$\mathsf{\theta=sin^{-1}(x)\qquad\qquad\dfrac{\pi}{2}\le \theta\le \dfrac{\pi}{2}}$

then,

$\begin{array}{lcl} \mathsf{x=sin\,\theta}&\quad\Rightarrow\quad&\mathsf{dx=cos\,\theta\,d\theta\qquad\checkmark}\\\\\\ &&\mathsf{x^2=sin^2\,\theta}\\\\ &&\mathsf{x^2=1-cos^2\,\theta}\\\\ &&\mathsf{cos^2\,\theta=1-x^2}\\\\ &&\mathsf{cos\,\theta=\sqrt{1-x^2}\qquad\checkmark}\\\\\\ &&\textsf{because }\mathsf{cos\,\theta}\textsf{ is positive for }\mathsf{\theta\in \left[\dfrac{\pi}{2},\,\dfrac{\pi}{2}\right].} \end{array}$

So the integral $\mathsf{(ii)}$ becomes

$\mathsf{=\displaystyle\int\! \theta\,cos\,\theta\,d\theta\qquad\quad(ii)}$

Integrate $\mathsf{(ii)}$ by parts:

$\begin{array}{lcl} \mathsf{u=\theta}&\quad\Rightarrow\quad&\mathsf{du=d\theta}\\\\ \mathsf{dv=cos\,\theta\,d\theta}&\quad\Leftarrow\quad&\mathsf{v=sin\,\theta} \end{array}\\\\\\\\ \mathsf{\displaystyle\int\!u\,dv=u\cdot v-\int\!v\,du}\\\\\\ \mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta-\int\!sin\,\theta\,d\theta}\\\\\\ \mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta-(-cos\,\theta)+C}$

$\mathsf{\displaystyle\int\!\theta\,cos\,\theta\,d\theta=\theta\, sin\,\theta+cos\,\theta+C}$

Substitute back for the variable x, and you get

$\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx=sin^{-1}(x)\cdot x+\sqrt{1-x^2}+C}\\\\\\\\ \therefore~~\mathsf{\displaystyle\int\!sin^{-1}(x)\,dx=x\cdot\,sin^{-1}(x)+\sqrt{1-x^2}+C\qquad\quad\checkmark}$

I hope this helps. =)

Tags: integral inverse sine function angle arcsin sine sin trigonometric trig substitution differential integral calculus

6 0

2 years ago

Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than n

Akimi4 [234]

Answer: He should have translated the scenario as value of all dimes = value of all

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers