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4 years ago

15

How to prove the converse to the same side interior angles theorem

1 answer:

Gnom [1K]4 years ago

5 0

Answer:If two lines are cut by a transversal and the consecutive interior angles are supplementary ...

Step-by-step explanation:

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Mia's cat weighs 13 pounds in 7 ounces about what is the weigh in kilograms

Ulleksa [173]

Weight is not measured in kilograms. Mass is. A kilogram of mass
has different weights depending on where you take it to.

An object that weighs 13pounds 7ounces on Earth has
about 6.1 kilograms of mass.

But an object that weighs 13pounds 7ounces on the Moon
has about 36.8 kilograms of mass.

7 0

3 years ago

Identify the transformation that maps the figure onto itself.

jasenka [17]

The answer for this letter is c

7 0

4 years ago

Read 2 more answers

I need to solve the equation please help me

lesantik [10]

Answer:

$\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}$

Step-by-step explanation:

We are given the equation:

$4\sin^2(x)+6\sin(x)+2=0$

First, we can divide everything by 2:

$2\sin^2(x)+3\sin(x)+1=0$

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

$2u^2+3u+1=0$

Solve for u. Factor:

$(2u+1)(u+1)=0$

Zero Product Property:

$2u+1=0\text{ or } u+1=0$

Solving for both cases:

$\displaystyle u=-\frac{1}{2}\text{ or } u=-1$

And by substitution:

$\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1$

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

$\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}$

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

$\displaystyle x=\frac{3\pi}{2}+2n\pi$

All together, our solutions are:

$\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}$

4 0

3 years ago

Line segment ON is perpendicular to line segment ML.

sergeinik [125]

Answer:

The length of NP is 2 units.

Step-by-step explanation:

Given the radius of 5 units and the length of MP is 4 units in the circle

we have to find the length of NP

OL=OM=5 units ( ∵ Radii of same circle)

In ΔOMP, by Pythagoras theorem

$OM^2=MP^2+OP^2$

$5^2=4^2+OP^2$

$OP^2=25-16=9$

$OP=3 units$

As we see

$ON=OP+NP$

$5=3+NP$

$NP=5-3=2\thinspace units$

Hence, the length of NP is 2 units.

Option D is correct.

7 0

3 years ago

Tyler wants to buy a new tub and that cost $312. He has already saved the plan to save $24 per week over the next few weeks whic

laila [671]

Answer:

13 weeks

Step-by-step explanation:

Given that :

Cost of new tub = $312

Planned saving per week = $24

The number of weeks he'll have to save in other to be able to afford the tub can be obtained using the relation :

Number of weeks = cost of new tub / weekly saving

Number of weeks = $312 / $24

Number of weeks = 13 weeks

5 0

3 years ago