If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°

5 0

3 years ago

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Solnce55 [7]

Answer:

$x= \frac{2}{3}$

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

$\frac{- 3}{6}x = \frac{-1}{3}$

Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

$-3x= -2$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{-2}{-3}$

$x= \frac{2}{3}$

Hence, the number is $\frac{2}{3}$

7 0

4 years ago

The minimum monthly payment for anita's credit card is 2% of her balance or $10, whichever is higher. if anita's balance at the

ioda

Answer:

Step-by-step explanation:

⇒minimum payment is 2% of her balance or 10 bucks...whichever is greater...

her balance is 360

2% of 360 =

0.02(360) = 7.20

$ 10 is greater then 7.20 so ur answer is $ 10

pls mark as brainlesttttt

5 0

3 years ago

Read 2 more answers

How to solve 25=9-3.2h

BARSIC [14]

To solve this, you want to isolate h. Start by subtracting 9 from both sides: 16 = -3.2h. Divide by -3.2: h = -5

4 0

3 years ago

Read 2 more answers