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3 years ago

Quadrilateral ABCD is inscribed in circle O.

Mathematics

2 answers:

creativ13 [48]3 years ago

7 0

Opposite angle of a quadrilateral add up to 180 degrees.

This means Angle A plus Angle C equal 180.

We can solve for X using that, then solve for Angle B.

2x-7 + x +4 = 180

Simplify:

3x -3 = 180

Add 3 to each side:

3x = 183

Divide both sides by 3:

x = 183 /3

x = 61

Now we know x, replace x with 61 in the equation for Angle B:

Angle B = 2x+3 = 2(61) +3 = 122 +3 = 125 degrees.

Monica [59]3 years ago

4 0

I encourage everyone taking this test to take my word that it's 125.

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If T(x, y) = (x + 5, y + 6) and Pris the image of P, what is the rule for the translation in which P is the image of P'? T(x, y)

xxTIMURxx [149]

Answer:

The translation is;

$T(x,y)=(x-5,y-6)$

Explanation:

Given the translation rule;

$T(x,y)=(x+5,y+6)$

when P' is the image of P.

For the inverse, when P is the image of P', the Translation rule would become;

$\begin{gathered} x=x^{\prime}+5 \\ x^{\prime}=x-5 \\ y=y^{\prime}+6 \\ y^{\prime}=y-6 \\ So,\text{ the translation rule becomes;} \\ T(x,y)=(x-5,y-6) \end{gathered}$

The translation is;

$T(x,y)=(x-5,y-6)$

3 0

1 year ago

Which number line shows the solution set for 1-3 352

Andrej [43]

-4

Step-by-step explanation:

-4 show the number of wveryshaoaknd

8 0

3 years ago

What is the product of − 3/11 and − 2/15? please explain.

emmainna [20.7K]

ANSWER

The product is

$\frac{2}{55}$

EXPLANATION

To find the product of

$- \frac{3}{11}$

and

$\frac{ - 2}{15}$

means we should multiply the two fractions.

We multiply to obtain,

$- \frac{3}{11} \times - \frac{2}{15}$

$= - \frac{3}{11} \times - \frac{2}{3 \times 5}$

Cancel the common factors:

$= - \frac{1}{11} \times - \frac{2}{5}$

Now, multiply the numerators separately and the denominators too separately.

$= \frac{ - 1 \times - 2}{11 \times 5}$

This simplifies to,

$= \frac{2}{55}$

4 0

3 years ago

Write (2p)^4 without exponents.

Fed [463]

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

5 0

3 years ago

Factor: (a+3)^2 -a(a+3)

lutik1710 [3]

Answer:

3(a +3)

Step-by-step explanation:

(a+3)^2 -a(a+3)

FOIL

a^2 +3a+3a+9 -a(a+3)

Distribute

a^2 +3a +3a +9 -a^2 -3a

Combine like terms

3a +9

FACTOR out a+3

(a+3)( a+3 -a)

(a+3) (3)

3(a+3)

6 0

3 years ago

Read 2 more answers