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3 years ago

Quadrilateral abcd is inscribed in a circle with m∠a = (x)degrees, m∠b = (2x - 10)degrees, and m∠c = (3x)degree. what is m∠d?

1 answer:

6 0

Hello,

When you have a polygon inscribed in a circle, the opposite angles are supplementary.

So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.

If we input that in for angle B, we get: 2(25) - 10 = 80.

If angle B = 80, then angle D must be 100, because the angles are supplementary.

Good luck,
MrEQ

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Pls help and no unnecessary typin* I will report

satela [25.4K]

$\large\bf{\underline{Given :}}$

An isosceles triangle ABC
AD is a bisector of ∠‎A

__________________________________________

$\large\bf{\underline{To \:prove :}}$

BD = DC

__________________________________________

$\large\bf{\underline{In \: triangle \: ABD\:and\: triangle\:ADC}}$

${⟹AD = AD\:\:\:\:\:\:\:\:\:\:\:\:\:\:( common)}$

${⟹∠BAD = ∠CAD\:\:\:\:\:\:\:\:\:( given : AD \:is \:bisector \:of \:∠A )}$

${⟹∠ABD = ∠ACD\:\:\:\:\:\:\:\:\:( given : angles\: in \:isosceles\: trianlge )}$

$\large\bf{\underline{Hence}}$

By ASA criteria ∆ABD congurant to ∆ADC

__________________________________________

$\large\bf{\underline{So}}$

By CPCT ( corresponding parts of congurant triangle )

$\large\bf{BD = DC}$

__________________________________________

$\large\bf{\underline{Note :}}$ Slide to view full answer.

6 0

3 years ago

You can read 52 pages per hour.

lidiya [134]

Answer:

the standard is that a person can read 40 to 50 pages in an hour on average.

Step-by-step explanation:

52x2 is 104, and you need 130 pages it, i say that you cant complete the homework under two hours

5 0

2 years ago

Read 2 more answers

4x+3y=20<br> 2x+y=7<br> How do I solve this? I forgot how to do it :/ also no answer choice

Crank

So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: $4x+3y=20\\ y=7-2x$

Next, substitute y in the first equation with 7-2x, then solve for x from there:

$4x+3(7-2x)=20\\ 4x+21-6x=20\\ -2x+21=20\\ -2x=-1\\ x=\frac{1}{2}$

Now that we got x, substitute it into either equation to solve for y:

$4*\frac{1}{2}+3y=20\\ 2+3y=20\\ 3y=18\\ y=6\\ \\ 2*\frac{1}{2}+y=7\\ 1+y=7\\ y=6$

In short, x = 1/2 and y = 6.

6 0

3 years ago

Use the zero product property to find the solutions to the equation x^2 + x -30=12

Alla [95]

Answer:

The solutions are x = -7, 6.

Step-by-step explanation:

To find the solutions, move everything to one side of the equation so the equation is equal to 0. Then factor. Set the factors equal to 0 and solve for x.

$x^2 + x - 30 = 12\\x^2 + x -42=0\\(x+7)(x-6) = 0$